@techreport{BenFPetal25,
author = {Benner, P. and Filanova, Y. and Pontes Duff, I. and Saak, J.},
title = {Application of operator inference to reduced-order modeling of
constrained mechanical systems},
institution = {arXiv},
year = 2025,
type = {eprint},
number = {2507.05472},
note = {math.DS},
url = {https://arxiv.org/abs/2507.05472}
}
@article{morAal10,
author = {Aalto, H.},
title = {Model Reduction for Natural Gas Pipeline Systems},
journal = {IFAC Proceedings Volumes (12th IFAC Symposium on Large Scale
Systems: Theory and Applications)},
volume = {43},
number = {8},
pages = {468--473},
year = {2010},
doi = {10.3182/20100712-3-FR-2020.00077}
}
@techreport{morAckGGetal25,
author = {Ackermann, M.~S. and Gosea, I.~V. and Gugercin, S. and Werner,
S.~W.~R.},
title = {Second-order {AAA} algorithms for structured data-driven
modeling},
institution = {arXiv},
year = 2025,
type = {e-prints},
number = {2506.02241},
note = {math.NA, cs.LG, eess.SY, math.DS, math.OC},
doi = {10.48550/arXiv.2506.02241}
}
@article{morAclFMetal19,
author = {Acle, Y.~G.~I. and Freitas, F.~D. and Martins, N. and Rommes,
J.},
title = {Parameter preserving model order reduction of large sparse
small-signal electromechanical stability power system models},
journal = {IEEE Transactions on Power Systems},
year = {2019},
volume = {34},
number = {4},
pages = {2814--2824},
doi = {10.1109/TPWRS.2019.2898977}
}
@incollection{morAfaH01,
author = {Afanasiev, K. and Hinze, M.},
title = {Adaptive control of a wake flow using proper orthogonal
decomposition},
booktitle = {Shape optimization and optimal design ({C}ambridge, 1999)},
publisher = {Dekker},
year = 2001,
volume = 216,
series = {Lecture Notes in Pure and Appl. Math.},
pages = {317--332},
address = {New York}
}
@inproceedings{morAhmB14,
author = {Ahmad, M.~I. and Benner, P.},
title = {Interpolatory Model Reduction Techniques for Linear
Second-Order Descriptor Systems},
booktitle = {Proc. European Control Conf. ECC~2014, Strasbourg},
year = 2014,
pages = {1075--1079},
publisher = {IEEE},
doi = {10.1109/ECC.2014.6862210}
}
@article{morAhmBB17,
author = {Ahmad, M.~I. and Baur, U. and Benner, P.},
title = {Implicit {Volterra} Series Interpolation for Model Reduction
of Bilinear Systems},
journal = {J. Comput. Appl. Math.},
year = 2017,
volume = 316,
pages = {15--28},
doi = {10.1016/j.cam.2016.09.048}
}
@article{morAhmBF15,
author = {Ahmad, M.~I. and Benner, P. and Feng, L.},
title = {A new interpolatory model reduction approach for quadratic
bilinear descriptor systems},
journal = pamm,
year = 2015,
volume = 15,
number = 1,
pages = {589--590},
doi = {10.1002/pamm.201510284}
}
@article{morAhmBF19,
author = {Ahmad, M.~I. and Benner, P. and Feng, L.},
title = {A New Two-Sided Projection Technique for Model Reduction of
Quadratic-Bilinear Descriptor Systems},
journal = {International Journal of Computer Mathematics},
year = 2019,
volume = 96,
number = 10,
pages = {1899--1909},
doi = {10.1080/00207160.2018.1542134}
}
@article{morAhmBF19a,
author = {Ahmad, M.~I. and Benner, P. and Feng, L.},
title = {Interpolatory Model Reduction for Quadratic-Bilinear Systems
using Error Estimators},
journal = {Engineering Computations},
volume = {36},
number = {1},
pages = {25--44},
year = {2019},
doi = {10.1108/EC-04-2018-0162}
}
@article{morAhmBG17,
author = {Ahmad, M.~I. and Benner, P. and Goyal, P.},
title = {{K}rylov subspace-based model reduction for a class of
bilinear descriptor systems},
journal = compapplmath,
year = 2017,
volume = 315,
pages = {303--318},
doi = {10.1016/j.cam.2016.11.009}
}
@article{morAhmBGetal17,
author = {Ahmad, M.~I. and Benner, P. and Goyal, P. and Heiland, J.},
title = {Moment-Matching Based Model Reduction for {N}avier-{S}tokes
Type Quadratic-Bilinear Descriptor Systems},
journal = zangewmathmech,
year = 2017,
volume = 97,
number = 10,
pages = {1252--1267},
doi = {10.1002/zamm.201500262}
}
@article{morAhmBJ16,
author = {Ahmad, M.~I. and Benner, P. and Jaimoukha, I.},
title = {{K}rylov Subspace Projection Methods for Model Reduction of
Quadratic-Bilinear Systems},
journal = {IET Control Theory \& Applications},
year = 2016,
volume = 10,
number = 16,
pages = {2010--2018},
doi = {10.1049/iet-cta.2016.0415}
}
@article{morAhuBdetal15,
author = {Ahuja, K. and Benner, P. and de Sturler, E. and Feng, L.},
title = {Recycling {BiCGSTAB} with an application to parametric model
order reduction},
journal = {SIAM Journal on Scientific Computing},
year = 2015,
volume = 37,
number = 5,
pages = {S429--S446},
doi = {10.1137/140972433}
}
@article{morAhuDGetal12,
author = {Ahuja, K. and de Sturler, E. and Gugercin, S. and Chang,
E.~R.},
title = {Recycling {B}i{CG} with an application to model reduction},
journal = siamscicomp,
year = 2012,
volume = 34,
number = 4,
pages = {A1925--A1949},
fauthor = {Ahuja, Kapil and de Sturler, Eric and Gugercin, Serkan and
Chang, Eun R.},
issn = {1064-8275},
doi = {10.1137/100801500}
}
@article{morAlbFB93,
author = {Al-Baiyat, S. and Farag, A.~S. and Bettayeb, M.},
title = {Transient approximation of a bilinear two-area interconnected
power system},
journal = {Electric Power Systems Research},
year = 1993,
volume = 26,
number = 1,
pages = {11--19},
doi = {10.1016/0378-7796(93)90064-L}
}
@article{morAld91,
author = {Aldhaheri, R.~W.},
title = {Model order reduction via real {S}chur-form decomposition},
journal = intcontrol,
year = 1991,
volume = 53,
number = 3,
pages = {709--716},
doi = {10.1080/00207179108953642}
}
@mastersthesis{morAlf17,
author = {Alfke, D.},
title = {Iteratively Interpolatory Model Order Reduction for Delay
Systems},
school = ovgu,
year = 2017,
address = {Magdeburg, Germany}
}
@article{morAlfFLetal21,
author = {Alfke, D. and Feng, L. and Lombardi, L. and Antonini, G. and
Benner, P.},
title = {Model Order Reduction for Delay Systems by Iterative
Interpolation},
journal = intnumereng,
volume = {122},
number = 3,
pages = {684--706},
year = {2021},
doi = {10.1002/nme.6554}
}
@article{morAliBSetal14,
author = {G. Al{\`i} and N. Banagaaya and W.~H.~A. Schilders and
C. Tischendorf},
title = {Index-aware model order reduction for differential-algebraic
equations},
journal = mcmds,
year = 2014,
volume = 20,
number = 4,
pages = {345--373},
doi = {10.1080/13873954.2013.829501}
}
@article{morAllK17,
author = {Alla, A. and Kutz, J.~N.},
title = {Nonlinear Model Order Reduction via Dynamic Mode
Decomposition},
journal = siamscicomp,
year = 2017,
volume = 39,
number = 5,
pages = {B778--B796},
doi = {10.1137/16M1059308}
}
@article{morAls93,
author = {Al-Saggaf, U.~M.},
title = {Reduced-order models for dynamic control of a power plant with
an improved transient and steady-state behavior},
journal = {Electric Power Systems Research},
year = {1993},
volume = {26},
number = {1},
pages = {79--85},
doi = {10.1016/0378-7796(93)90071-L}
}
@phdthesis{morAms10,
author = {D. Amsallem},
title = {Interpolation on manifolds of {CFD}-based fluid and finite
element-based structural reduced-order models for on-line
aerolastic predictions},
school = {Stanford University},
year = 2010,
type = {{Ph.D. Thesis}}
}
@article{morAmsF08,
author = {Amsallem, D. and Farhat, C.},
title = {Interpolation Method for the Adaptation of Reduced-Order
Models to Parameter Changes and Its Application to
Aeroelasticity},
journal = aiaa,
year = 2008,
volume = 46,
pages = {1803--1813}
}
@article{morAmsF11,
author = {Amsallem, D. and Farhat, C.},
title = {An online method for interpolating linear parametric
reduced-order models},
journal = siamscicomp,
year = 2011,
volume = 33,
number = 5,
pages = {2169--2198},
doi = {10.1137/100813051}
}
@article{morAmsF12,
author = {Amsallem, D. and Farhat, C.},
title = {Stabilization of projection-based reduced-order models},
journal = {Numerical Methods in Engineering},
year = 2012,
volume = 91,
number = 4,
pages = {358--377},
doi = {10.1002/nme.4274}
}
@article{morAmsZCetal15,
author = {Amsallem, D. and Zahr, M. and Choi, Y. and Farhat, C.},
title = {Design optimization using hyper-reduced-order models},
journal = {Struct. Multidisc. Optim.},
year = 2015,
volume = 51,
number = 4,
pages = {919--940},
doi = {10.1007/s00158-014-1183-y}
}
@article{morAndA90,
author = {Anderson, B.~D.~O. and Antoulas, A.~C.},
title = {Rational interpolation and state-variable realizations},
journal = linalgapp,
year = 1990,
volume = {137--138},
pages = {479--509},
doi = {10.1016/0024-3795(90)90140-8}
}
@article{morAndL89,
author = {Anderson, B.~D.~O. and Liu, Y.},
title = {Controller reduction: concepts and approaches},
journal = ieeetransac,
year = 1989,
volume = 34,
number = 8,
pages = {802--812}
}
@article{morAniBGetal13,
author = {Ani{\'c}, B. and Beattie, C. and Gugercin, S. and Antoulas,
A.~C.},
title = {Interpolatory weighted-{$\mathcal{H}_{2}$} model reduction},
journal = automatica,
year = 2013,
volume = 49,
number = 5,
pages = {1275--1280},
doi = {10.1016/j.automatica.2013.01.040}
}
@inproceedings{morAnnGS16,
author = {Annoni, J. and Gebraad, P. and Seiler, P.},
title = {Wind farm flow modeling using input-output dynamic mode
decomposition},
booktitle = {American Control Conference (ACC)},
year = 2016,
pages = {506--512},
doi = {10.1109/ACC.2016.7524964}
}
@article{morAnnS17,
author = {Annoni, J. and Seiler, P.},
title = {A method to construct reduced-order parameter-varying models},
journal = {International Journal of Robust and Nonlinear Control},
year = 2017,
volume = 27,
number = 4,
pages = {582--597},
doi = {10.1002/rnc.3586}
}
@article{morAnt03,
author = {Antonini, G.},
title = {{SPICE} equivalent circuits of frequency-domain responses},
journal = ieeetransemc,
year = 2003,
volume = 45,
number = 3,
pages = {502--512}
}
@book{morAnt05,
author = {Antoulas, A.~C.},
title = {Approximation of Large-Scale Dynamical Systems},
publisher = siampub,
year = 2005,
volume = 6,
series = {Adv. Des. Control},
address = {Philadelphia, PA},
isbn = 9780898715293,
doi = {10.1137/1.9780898718713}
}
@article{morAnt05a,
author = {Antoulas, A.~C.},
title = {A new result on passivity preserving model reduction},
journal = scl,
year = 2005,
volume = 54,
number = 4,
pages = {361--374},
publisher = {Elsevier}
}
@article{morAnt05b,
author = {Antoulas, A.~C.},
title = {An overview of approximation methods for large-scale dynamical
systems},
journal = {Annual Reviews in Control},
year = 2005,
volume = 29,
pages = {181--190},
doi = {10.1016/j.arcontrol.2005.08.002}
}
@article{morAntBF18,
author = {Antoulas, A.~C. and Benner, P. and Feng, L.},
title = {Model Reduction by Iterative Error System Approximation},
journal = mcmds,
year = 2018,
volume = {24},
number = {2},
pages = {103--118},
doi = {10.1080/13873954.2018.1427116}
}
@incollection{morAntBG10,
author = {A.~C. Antoulas and C.~A. Beattie and S. Gugercin},
title = {Interpolatory Model Reduction of Large-Scale Dynamical
Systems},
booktitle = {Efficient Modeling and Control of Large-Scale Systems},
publisher = {Springer US},
year = 2010,
editor = {Mohammadpour, Javad and Grigoriadis, Karolos M.},
pages = {3--58},
isbn = {978-1-4419-5756-6},
doi = {10.1007/978-1-4419-5757-3\_1}
}
@book{morAntBG20,
author = {Antoulas, A.~C. and Beattie, C.~A. and Gugercin, S.},
title = {Interpolatory Methods for Model Reduction},
publisher = {Society for Industrial and Applied Mathematics},
year = 2020,
series = {Computational Science \& Engineering},
address = {Philadelphia, PA},
doi = {10.1137/1.9781611976083}
}
@incollection{morAntGH19,
author = {Antoulas, A.~C. and Gosea, I.~V. and Heinkenschloss, M.},
title = {On the {L}oewner Framework for Model Reduction of {B}urgers'
Equation},
booktitle = {Active Flow and Combustion Control},
series = {Notes on Numerical Fluid Mechanics and Multidisciplinary
Design},
publisher = {Springer},
year = {2019},
editor = {King, R.},
vol = {141},
pages = {255--270},
address = {Cham, Switzerland},
doi = {10.1007/978-3-319-98177-2\_16}
}
@incollection{morAntGH20,
author = {Antoulas, A.~C. and Gosea, I.~V. and Heinkenschloss, M.},
title = {Data-Driven Model Reduction for a Class od Semi-Explicit
{DAE}s Using the {L}oewner Framework},
booktitle = {Progress in Differential-Algebraic Equations II},
publisher = {Springer},
year = {2020},
editor = {Grundel, S. and Reis, T. and Sch{\"{o}}ps, S.},
series = {Differential-Algebraic Equations Forum},
pages = {185--210},
doi = {10.1007/978-3-030-53905-4\_7}
}
@inproceedings{morAntGH20a,
author = {Antoulas, A.~C. and Gosea, I.~V. and Heinkenschloss, M.},
title = {Reduction of Systems with Polynomial Nonlinearities in the
{L}oewner Framework},
booktitle = {Book of Abstracts of XXI Householder Symposium on Numerical
Linear Algebra, Selva di Fasano, Italy, June 14--19},
year = {2020},
url = {https://users.ba.cnr.it//iac/irmanm21/HHXXI/book_of_abstracts_HHXXI0.pdf}
}
@article{morAntGI16,
author = {Antoulas, A.~C. and Gosea, I.~V. and Ionita, A.~C.},
title = {Model reduction of bilinear systems in the {L}oewner
Framework},
journal = siamscicomp,
year = 2016,
volume = 38,
number = 5,
pages = {B889--B916},
doi = {10.1137/15M1041432}
}
@techreport{morAntGP24,
author = {Antoulas, A.~C. and Gosea, I.~V. and Poussot-Vassal, C.},
title = {The {L}oewner framework for parametric systems: Taming the
curse of dimensionality},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2405.00495},
note = {math.NA, eess.SY},
doi = {10.48550/arXiv.2405.00495}
}
@techreport{morAntGP25a,
author = {Antoulas, A.~C. and Gosea, I.~V. and Poussot-Vassal, C.},
title = {The {L}oewner framework applied to {Z}olotarev sign and ratio
problems},
institution = {arXiv},
year = 2025,
type = {e-print},
number = {2511.04404},
note = {math.NA},
doi = {10.48550/arXiv.2511.04404}
}
@techreport{morAntGPetal25,
author = {Antoulas, A.~C. and Gosea, I.~V. and Poussot-Vassal, C and
Vuillemin, P.},
title = {Tensor-based multivariate function approximation: methods
benchmarking and comparison},
institution = {arXiv},
year = 2025,
type = {e-prints},
number = {2506.04791},
note = {math.NA, cs.CE, cs.SE},
doi = {10.48550/arXiv.2506.04791}
}
@article{morAntS01,
author = {A.~C. Antoulas and D.~C. Sorensen},
title = {Approximation of large-scale dynamical systems: An overview},
journal = intjappcompsci,
year = 2001,
volume = 11,
number = 5,
pages = {1093--1121}
}
@article{morAntSG01,
author = {Antoulas, A.~C. and Sorensen, D.~C. and Gugercin, S.},
title = {A survey of model reduction methods for large-scale systems},
journal = contempmath,
year = 2001,
volume = 280,
pages = {193--219}
}
@article{morAntSZ02,
author = {Antoulas, A.~C. and Sorensen, D.~C. and Zhou, Y.},
title = {On the decay rate of {H}ankel singular values and related
issues},
journal = scl,
year = 2002,
volume = 46,
number = 5,
pages = {323--342}
}
@inproceedings{morAriFS02,
author = {Arian, E. and Fahl, M. and Sachs, E.~W.},
title = {Trust region proper orthogonal decomposition models by
optimization methods},
booktitle = {Proc. 41st {IEEE} Conference on Decision and Control, 2002},
year = 2002,
volume = 3,
pages = {3300--3305}
}
@article{morAsiABetal21,
author = {Asif, M.~M.~A. and Ahmad, M.~I. and Benner, P. and Feng, L.
and Stykel, T.},
title = {Implicit Higher-Order Moment Matching Technique for Model
Reduction of Quadratic-bilinear Systems},
journal = {Journal of the Franklin Institute},
volume = {358},
number = {3},
pages = {2015--2038},
year = {2021},
doi = {10.1016/j.jfranklin.2020.11.012}
}
@inproceedings{morAst04,
author = {Astrid, P.},
title = {Fast Reduced Order Modeling Technique for Large Scale {LTV}
Systems},
booktitle = {Proceedings of the American Control Conference},
year = 2004,
pages = {762--767},
doi = {10.23919/ACC.2004.1383697}
}
@article{morAst10,
author = {Astolfi, A.},
title = {Model reduction by moment matching for linear and nonlinear
systems},
journal = {Transactions on Automatic Control},
year = 2010,
volume = 55,
number = 10,
pages = {2321--2336},
doi = {10.1109/TAC.2010.2046044}
}
@article{morAstWWetal08,
author = {Astrid, P. and Weiland, S. and Willcox, K. and Backx, T.},
title = {Missing point estimation in models described by proper
orthogonal decomposition},
journal = ieeetransac,
year = 2008,
volume = 53,
number = 10,
pages = {2237--2251}
}
@article{morAumBGetal23,
author = {Aumann, Q. and Benner, P. and Gosea, I.~V. and
Saak, J. and Vettermann, J.},
title = {A tangential interpolation framework for the {AAA} algorithm},
journal = pamm,
volume = {n/a},
number = {n/a},
pages = {e202300183},
year = 2023,
doi = {10.1002/pamm.202300183}
}
@inproceedings{morAumBSetal23,
author = {Aumann, Q. and Benner, P. and Saak, J. and Vettermann, J.},
title = {Model order reduction strategies for the computation of
compact machine tool models},
booktitle = {3rd International Conference on Thermal Issues in Machine
Tools ({ICTIMT2023})},
year = 2023,
pages = {132--145},
address = {Cham},
publisher = {Springer International Publishing},
doi = {10.1007/978-3-031-34486-2_10}
}
@article{morAumBSetal23a,
author = {Aumann, Q. and Benner, P. and Saak, J. and
Vettermann, J.},
title = {Model order reduction via substructuring for a nonlinear,
differential-algebraic machine tool model with moving loads},
journal = pamm,
year = 2023,
volume = 23,
number = 1,
pages = {e202200286},
doi = {10.1002/pamm.202200286}
}
@article{morAumG23,
author = {Aumann, Q. and Gosea, I.~V.},
title = {Practical challenges in data-driven interpolation: dealing
with noise, enforcing stability, and computing realizations},
journal = {Int. J. Adapt. Control Signal Process.},
pages = {1--19},
year = 2023,
doi = {10.1002/acs.3691},
publisher = wileyvch
}
@article{morAumW22,
author = {Aumann, Q. and Werner, S.~W.~R.},
title = {Structured model order reduction for vibro-acoustic problems
using interpolation and balancing methods},
journal = {Journal of Sound and Vibration},
year = 2023,
volume = 543,
pages = 117363,
doi = {10.1016/j.jsv.2022.117363}
}
@techreport{morAumW23,
author = {Aumann, Q. and Werner, S.~W.~R.},
title = {Adaptive choice of near-optimal expansion points for
interpolation-based structure-preserving model reduction},
institution = {arXiv},
year = 2023,
type = {e-print},
number = {2305.10806},
note = {math.NA},
url = {https://arxiv.org/abs/2305.10806}
}
@inproceedings{morBadBMQ06,
author = {J.~M. Bad{\'\i}a and P. Benner and R. Mayo and
E.~S. Quintana-Ort{\'\i}},
title = {Parallel Algorithms for Balanced Truncation Model Reduction of
Sparse Systems},
booktitle = {Applied Parallel Computing: 7th International Conference,
{PARA} 2004, Lyngby, Denmark, June 20-23, 2004},
year = 2006,
editor = {J.~J. Dongarra and K. Madsen and J. Wasniewski},
number = 3732,
series = lncs,
pages = {267--275},
address = {Berlin, Heidelberg, New York},
publisher = springer,
annote = {[ISBN 3-540-29067-4]}
}
@inproceedings{morBadBMetal05,
author = {Bad{\'\i}a, J.~M. and Benner, P. and Mayo, R. and
Quintana-Ort{\'\i}, E. and Quintana-Ort{\'\i}, G. and Saak,
J.},
title = {Parallel Order Reduction via Balanced Truncation for Optimal
Cooling of Steel Profiles},
booktitle = {Euro-Par 2005 Parallel Processing: 11th International Euro-Par
Conference, Lisbon, Portugal, August 30 - September 2},
year = 2005,
editor = {J.~C. Cunha and P.~D. Mdeiros},
volume = 3648,
series = lncs,
pages = {857--866},
publisher = {Springer-Verlag}
}
@techreport{morBadBMetal06,
author = {J.~M. Bad{\'\i}a and P. Benner and R. Mayo and
E.~S. Quintana-Ort{\'\i} and G. Quintana-Ort{\'\i} and
A. Rem{\'o}n},
title = {Balanced Truncation Model Reduction of Large and Sparse
Generalized Linear Systems},
institution = {Fakult{\"{a}}t f{\"{u}}r Mathematik, TU Chemnitz},
year = 2006,
type = {Technical report},
number = {Chemnitz Scientific Computing Preprints 06-04},
month = nov
}
@incollection{morBadBMetal08,
author = {Bad{\'\i}a, J.~M. and Benner, P and Mayo, R. and
Quintana-Ort{\'\i}, E.~S. and Quintana-Ort{\'\i}, G. and
Rem{\'o}n, A.},
title = {Parallel Implementation of {LQG} Balanced Truncation for
Large-Scale Systems},
booktitle = {Large-Scale Scientific Computing},
publisher = {Springer Berlin Heidelberg},
year = 2008,
editor = {Lirkov, I. and Margenov, S. and Wasniewski, J.},
volume = 4818,
series = lncs,
pages = {227--234},
isbn = {978-3-540-78825-6},
doi = {10.1007/978-3-540-78827-0_24}
}
@article{morBadZV16,
author = {Bader, E. and Zhang, Z. and Veroy, K.},
title = {An empirical interpolation approach to reduced basis
approximations for variational inequalities},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {345--361},
doi = {10.1080/13873954.2016.1198388}
}
@article{morBagBH09,
author = {Bagheri, S. and Brandt, L. and Henningson, D.~S.},
title = {Input-output analysis, model reduction and control of the
flat-plate boundary layer},
journal = {J. Fluid Mech.},
year = 2009,
volume = 620,
pages = {263--298},
doi = {10.1017/S0022112008004394}
}
@article{morBai02,
author = {Z. Bai},
title = {{K}rylov subspace techniques for reduced-order modeling of
large-scale dynamical systems},
journal = {Appl. Numer. Math},
volume = 43,
number = {1--2},
pages = {9--44},
year = 2002,
doi = {10.1016/S0168-9274(02)00116-2}
}
@incollection{morBaiDF05,
author = {Bai, Z. and Dewilde, P.~M. and Freund, R.~W.},
title = {Reduced-order modeling},
booktitle = {Handbook of numerical analysis. Vol. XIII},
publisher = northholland,
year = 2005,
series = {Handb. Numer. Anal., XIII},
pages = {825--891},
address = {Amsterdam}
}
@inproceedings{morBaiF01,
author = {Bai, Z. and Freund, R.~W.},
title = {A partial {P}ad{\'e}-via-{L}anczos method for reduced-order
modeling},
booktitle = {Proceedings of the Eighth Conference of the International
Linear Algebra Society (Barcelona, 1999)},
year = 2001,
volume = {332/334},
pages = {139--164},
issn = {0024-3795},
journal = linalgapp
}
@inproceedings{morBaiFF98,
author = {Z. Bai and P. Feldmann and R.~W. Freund},
title = {How to make theoretically passive reduced-order models passive
in practice},
booktitle = {Proc. {IEEE} 1998 Custom Integrated Circuits Conference},
year = 1998,
pages = {207--210},
publisher = {IEEE}
}
@inproceedings{morBaiMS05,
author = {Bai, Z. and Meerbergen, K. and Su, Y.},
title = {{A}rnoldi Methods for Structure-Preserving Dimension Reduction
of Second-Order Dynamical Systems},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {Benner, P. and Mehrmann, V. and Sorensen, D.~C.},
volume = 45,
series = lncse,
pages = {173--189},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
doi = {10.1007/3-540-27909-1_7}
}
@article{morBaiS05,
author = {Z. Bai and Y.-F. Su},
title = {Dimension reduction of large-scale second-order dynamical
systems via a second-order {A}rnoldi method},
journal = siamscicomp,
year = 2005,
volume = 26,
number = 5,
pages = {1692--1709}
}
@article{morBaiS06,
author = {Z. Bai and D. Skoogh},
title = {A projection method for model reduction of bilinear dynamical
systems},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {406--425},
doi = {10.1016/j.laa.2005.04.032}
}
@article{morBaiSSetal99,
author = {Z. Bai and R.~D. Slone and W.~T. Smith and Q. Ye},
title = {Error Bound for Reduced System Model by {P}ad$\acute{e}$
Approximation via the {L}anczos Process},
journal = ieeetranscadcs,
year = 1999,
volume = 18,
number = 2,
pages = {133--141}
}
@article{morBal20,
author = {Balicki, L.},
title = {Low-Rank Alternating Direction Implicit Iteration in {pyMOR}},
journal = {GAMM Archive for Students},
year = 2020,
volume = 2,
number = 1,
pages = {1-13},
month = feb,
doi = {10.14464/gammas.v2i1.420}
}
@article{morBal96,
author = {Balmes, E.},
title = {Optimal {R}itz vectors for component mode synthesis using the
singular value decomposition},
journal = aiaa,
year = 1996,
volume = 34,
number = 6,
pages = {1256--1260}
}
@article{morBalK16,
author = {Ballani, J. and Kressner, D.},
title = {Reduced Basis Methods: From Low-Rank Matrices to Low-Rank
Tensors},
journal = siamscicomp,
year = 2016,
volume = 38,
number = 4,
pages = {A2045--A2067},
doi = {10.1137/15M1042784}
}
@article{morBalMRetal19,
author = {Balicki, L. and Mlinari{\'c}, P. and Rave, S. and Saak, J.},
title = {System-theoretic model order reduction with py{MOR}},
journal = pamm,
year = 2019,
volume = 19,
number = 1,
doi = {10.1002/pamm.201900459}
}
@article{morBanAGetal21,
title = {Index-Aware Model-Order Reduction for a Special Class of
Nonlinear Differential-Algebraic Equations},
author = {Banagaaya, N. and Al{\`\i}, G. and Grundel, S. and Benner, P.},
journal = {Journal of Dynamics and Differential Equations},
pages = {1--25},
year = {2021},
doi = {10.1007/s10884-021-10063-9}
}
@inproceedings{morBanBF18,
author = {Banagaaya, N. and Benner, P. and Feng, L.},
title = {Parametric Model Order Reduction for Electro-Thermal Coupled
Problems with Many Inputs },
booktitle = {{Progress in Industrial Mathematics at ECMI 2016}},
series = {Mathematics in Industry},
volume = 26,
pages = {263--270},
year = 2018,
doi = {10.1007/978-3-319-63082-3_41}
}
@article{morBanBFetal18,
author = {Banagaaya, N. and Benner, P. and Feng, L. and Meuris, P. and
Schoenmaker, W.},
title = {An index-aware parametric model order reduction method for
parameterized quadratic differential-algebraic equations},
journal = {Applied Mathematics and Computation},
year = 2018,
volume = 319,
pages = {409--424},
doi = {10.1016/j.amc.2017.04.024}
}
@inproceedings{morBanBG19,
author = {Banagaaya, N. and Benner, P. and Grundel, S.},
title = {Index-Preserving Model Order Reduction for
Differential-Algebraic Systems Arising in Gas Transport
Networks},
booktitle = {{Progress in Industrial Mathematics at ECMI 2018}},
year = 2019,
volume = 30,
series = {Mathematics in Industry},
pages = {291--297},
doi = {10.1007/978-3-030-27550-1_36}
}
@incollection{morBanFB19,
author = {Banagaaya, N. and Feng, L. and Benner, P.},
title = {Sparse {(P)MOR} for electro-thermal coupled problems with many
inputs},
booktitle = {{Nanoelectronic Coupled Problems Solutions}},
publisher = {Springer},
year = 2019,
volume = 29,
series = {{Mathematics in Industry}},
pages = {311--328},
doi = {10.1007/978-3-030-30726-4_14}
}
@inproceedings{morBanFDetal24,
author = {Bansal, V. and Feng, L. and de la Rubia, V. and Benner, P.},
title = {Parametric S-Parameter Prediction Using Deep Learning},
booktitle = {Proc. 33rd Conference on Electrical Performance of Electronic
Packaging and Systems (EPEPS 2024)},
year = 2024,
pages = {1--4},
publisher = {IEEE},
doi = {10.1109/EPEPS61853.2024.10754126}
}
@inproceedings{morBanFMetal15,
author = {N. Banagaaya and L. Feng and P. Meuris, W. Schoenmaker and
P. Benner},
title = {Model order reduction of an electro-thermal package model},
booktitle = {IFAC-PapersOnLine, 18th Vienna International Conference on
Mathematical Modelling MATHMOD 2015},
year = 2015,
volume = 48,
pages = {934--935},
publisher = {Elsevier},
doi = {10.1016/j.ifacol.2015.05.212}
}
@inproceedings{morBanFSetal16,
author = {Banagaaya, N. and Feng, L. and Schoenmaker, W. and Meuris,
P. and Wieers, A. and Gillon, R. and Benner, P.},
title = {Model Order Reduction for Nanoelectronics Coupled Problems
with Many Inputs},
booktitle = {Design, Automation, and Test in Europe (DATE)},
year = 2016,
pages = {313--318},
url = {http://ieeexplore.ieee.org/document/7459329/}
}
@inproceedings{morBanFSetal18,
author = {Banagaaya, N. and Feng, L. and Schoenmaker, W. and Meuris,
P. and Gillon, R. and Benner, P.},
title = {Sparse Model Order Reduction for Electro-Thermal Problems with
Many Inputs},
booktitle = {Scientific Computing in Electrical Engineering},
editor = {Langer, U. and Amrhein, W. and Zulehner, W.},
year = 2018,
series = {Mathematics in Industry},
volume = {28},
address = {Cham},
publisher = {Springer},
doi = {10.1007/978-3-319-75538-0_18}
}
@inproceedings{morBanGB20,
author = {Banagaaya, N. and Grundel, S. and Benner, P.},
title = {Index-aware {MOR} for Gas Transport Networks with Many Supply
Inputs},
booktitle = {{IUTAM Symposium on Model Order Reduction of Coupled Systems}},
year = 2020,
volume = 36,
series = {IUTAM Bookseries},
pages = {191--207},
doi = {10.1007/978-3-030-21013-7_14}
}
@inproceedings{morBarBQ05,
author = {S. Barrachina and P. Benner and E. Quintana-Ort{\'\i}},
title = {Parallel Algorithms for Balanced Truncation of Large-Scale
Unstable Systems},
booktitle = {Proc. 44rd {IEEE} Conf. Decision Contr. and European
Contr. Conf. ECC2005},
year = 2004,
pages = {2248--2253},
publisher = {Omnipress, Madison, WI},
note = {CD Rom},
isbn = {0-7803-9568-9}
}
@inproceedings{morBarDN08,
author = {Barbagallo, A. and De~Felice, V.~F. and Nagarajan, K.~K.},
title = {Reduced Order Modelling of a Couette Flow Using Balanced
Proper Orthogonal Decomposition},
booktitle = {2nd Young ERCOFTAC Workshop},
year = 2008,
url = {http://dokumente.unibw.de/pub/bscw.cgi/2700941}
}
@article{morBarMNetal04,
author = {Barrault, M. and Maday, Y. and Nguyen, N.~C. and Patera,
A.~T.},
title = {An `empirical interpolation' method: application to efficient
reduced-basis discretization of partial differential
equations},
journal = {C.~R. Math. Acad. Sci. Paris},
year = 2004,
volume = 339,
number = 9,
pages = {667--672},
fjournal = {Comptes Rendus Mathematique. Academie des Sciences. Paris},
issn = {1631-073X},
doi = {10.1016/j.crma.2004.08.006}
}
@techreport{morBatR16,
author = {Batlle, C. and Roqueiro, N.},
title = {Balanced model order reduction for systems depending on a
parameter},
institution = {arXiv},
year = 2016,
type = {e-prints},
number = {1604.08086},
note = {cs.SY},
url = {http://arxiv.org/abs/1604.08086}
}
@article{morBatSSetal18,
author = {Batten, B.~A. and Shoori, H. and Singler, J.~R. and
Weerasinghe, M.~H.},
title = {Balanced Truncation Model Reduction of a Nonlinear Cable-Mass
{PDE} System with Interior Damping},
journal = {Discrete \& Continuous Dynamical Systems - B},
year = 2018,
volume = {Online First},
pages = {1--25},
doi = {10.3934/dcdsb.2018162}
}
@phdthesis{morBau08,
author = {U. Baur},
title = {Control-{O}riented {M}odel {R}eduction for {P}arabolic
{S}ystems},
school = {Technische Universit{\"{a}}t Berlin},
year = 2008,
type = {{Ph.D. Thesis}},
address = {Berlin},
note = {ISBN 978-3639074178 Vdm Verlag Dr. M{\"{u}}ller, available from
\url{http://www.nbn-resolving.de/urn:nbn:de:kobv:83-opus-17608}}
}
@article{morBauB08,
author = {U. Baur and P. Benner},
title = {{G}ramian-Based Model Reduction for Data-Sparse Systems},
journal = siamscicomp,
year = 2008,
volume = 31,
number = 1,
pages = {776--798},
doi = {10.1137/070711578}
}
@inproceedings{morBauB08b,
author = {Baur, U. and Benner, P.},
title = {Parametrische {M}odellreduktion mit d{\"{u}}nnen {G}ittern},
booktitle = {Tagungsband GMA-FA 1.30, 'Modellierung, Identifikation und
Simulation in der Automatisierungstechnik', Workshop in Anif,
24.-26.9.2008},
year = 2008,
editor = {B. Lohmann and A. Kugi},
pages = {262--271},
note = {ISBN: 978-3-9502451-1-0, available from
\url{http://csc.mpi-magdeburg.mpg.de/mpcsc/benner/pub/BaurBenner-GMA-Proceedings2008.pdf}}
}
@article{morBauB08c,
author = {U. Baur and P. Benner},
title = {Cross-{G}ramian based model reduction for data-sparse systems},
journal = etna,
year = 2008,
volume = 31,
pages = {256--270},
url = {http://eudml.org/doc/130548}
}
@article{morBauB09,
author = {U. Baur and P. Benner},
title = {Modellreduktion f{\"{u}}r parametrisierte {S}ysteme durch
balanciertes {A}bschneiden und {I}nterpolation ({M}odel
{R}eduction for {P}arametric {S}ystems {U}sing {B}alanced
{T}runcation and {I}nterpolation)},
journal = atautom,
year = 2009,
volume = 57,
number = 8,
pages = {411--420},
doi = {10.1524/auto.2009.0787}
}
@article{morBauBB14,
author = {U. Baur and C.~A. Beattie and P. Benner},
title = {Mapping parameters across system boundaries: parameterized
model reduction with low-rank variability in dynamics},
journal = pamm,
year = 2014,
volume = 14,
number = 1,
pages = {19--22},
month = dec,
publisher = wileyvch,
organization = {GAMM},
doi = {10.1002/pamm.201410006}
}
@article{morBauBBetal11,
author = {Baur, U. and Beattie, C.~A. and Benner, P. and Gugercin, S.},
title = {Interpolatory Projection Methods for Parameterized Model
Reduction},
journal = siamscicomp,
year = 2011,
volume = 33,
number = 5,
pages = {2489--2518},
doi = {10.1137/090776925}
}
@article{morBauBF14,
author = {Baur, U. and Benner, P. and Feng, L.},
title = {Model Order Reduction for Linear and Nonlinear Systems: A
System-Theoretic Perspective},
journal = archcompeng,
year = 2014,
volume = 21,
number = 4,
pages = {331--358},
doi = {10.1007/s11831-014-9111-2}
}
@article{morBauBGetal11,
author = {U. Baur and P. Benner and A. Greiner and J.~G. Korvink and
J. Lienemann and C. Moosmann},
title = {Parameter preserving model reduction for {MEMS} applications},
journal = mcmds,
year = 2011,
volume = 17,
number = 4,
pages = {297--317}
}
@article{morBauBH18,
author = {Baumann, M. and Benner, P. and Heiland, J.},
title = {Space-time {G}alerkin {POD} with application in optimal
control of semi-linear parabolic partial differential
equations},
journal = siamscicomp,
year = 2018,
volume = 40,
number = 3,
pages = {A1611--A1641},
doi = {10.1137/17M1135281}
}
@incollection{morBauBHetal17,
author = {Baur, U. and Benner, P. and Haasdonk, B. and Himpe, C. and
Martini, I. and Ohlberger, M.},
title = {Comparison of Methods for Parametric Model Order Reduction of
Time-Dependent Problems},
booktitle = {Model Reduction and Approximation: Theory and Algorithms},
publisher = {SIAM},
year = 2017,
editor = {Benner, P. and Cohen, A. and Ohlberger, M. and Willcox, K.},
pages = {377--407},
doi = {10.1137/1.9781611974829.ch9}
}
@incollection{morBauHS15,
author = {Baumann, M. and Heiland, J. and Schmidt, M.},
title = {Discrete Input/Output Maps and their Relation to {P}roper
{O}rthogonal {D}ecomposition},
booktitle = {Numerical Algebra, Matrix Theory, Differential-Algebraic
Equations and Control Theory},
publisher = {Springer, Cham},
year = 2015,
editor = {Benner, P. and Bollh{\"{o}}fer, M. and Kressner, D. and Mehl, C.
and Stykel, T.},
pages = {585--608},
doi = {10.1007/978-3-319-15260-8_21}
}
@techreport{morBeaB14,
author = {Beattie, C.~A. and Benner, P.},
title = {{$\mathcal{H}_2$}-Optimality Conditions for Structured
Dynamical Systems},
institution = {Max Planck Institute Magdeburg},
year = 2014,
type = {Preprint},
number = {MPIMD/14-18},
url = {https://csc.mpi-magdeburg.mpg.de/preprints/2014/18/}
}
@inproceedings{morBeaG05,
author = {Beattie, C.~A. and Gugercin, S.},
title = {{K}rylov-based model reduction of second-order systems with
proportional damping},
booktitle = {Proceedings of the 44th IEEE Conference on Decision and
Control},
year = 2005,
pages = {2278--2283},
month = dec,
doi = {10.1109/CDC.2005.1582501}
}
@article{morBeaG09,
author = {Beattie, C.~A. and Gugercin, S.},
title = {Interpolatory Projection Methods for Structure-preserving
Model Reduction},
journal = scl,
year = 2009,
volume = 58,
number = 3,
pages = {225--232},
doi = {10.1016/j.sysconle.2008.10.016}
}
@inproceedings{morBeaG11,
author = {Beattie, C.~A. and Gugercin, S.},
title = {Structure-preserving model reduction for nonlinear
port-{H}amiltonian systems},
booktitle = {2011 50th IEEE Conference on Decision and Control and European
Control Conference},
pages = {6564--6569},
year = {2011},
doi = {10.1109/CDC.2011.6161504}
}
@inproceedings{morBeaG12,
author = {Beattie, C.~A. and Gugercin, S.},
title = {Realization-independent {$\mathcal{H}_2$}-approximation},
booktitle = {51st IEEE Conference on Decision and Control (CDC)},
year = 2012,
pages = {4953--4958},
doi = {10.1109/CDC.2012.6426344}
}
@techreport{morBeaG14,
author = {Beattie, C.~A. and Gugercin, S.},
title = {Model Reduction by Rational Interpolation},
institution = {arXiv},
year = 2014,
type = {e-prints},
number = {1409.2140v1},
note = {math.NA},
url = {http://arxiv.org/abs/1409.2140v1}
}
@article{morBeaGM17,
author = {Beattie, C. and Gugercin, S. and Mehrmann, V.},
title = {Model reduction for systems with inhomogeneous initial
conditions},
journal = scl,
year = 2017,
volume = 99,
pages = {99--106},
doi = {10.1016/j.sysconle.2016.11.007}
}
@article{morBeaGT20,
author = {Beattie, C. and Gugercin, S. and Tomljanovi{\'c}, Z.},
title = {Sampling-free model reduction of systems with low-rank
parameterization},
journal = advcomputmath,
volume = 46,
number = 6,
pages = 83,
year = 2020,
doi = {10.1007/s10444-020-09825-8}
}
@article{morBeaGW12,
author = {C.~A. Beattie and S. Gugercin and S. Wyatt},
title = {Inexact solves in interpolatory model reduction},
journal = linalgapp,
year = 2012,
volume = 436,
number = 8,
pages = {2916--2943},
note = {Special Issue dedicated to Danny Sorensen's 65th birthday},
issn = {0024-3795},
doi = {10.1016/j.laa.2011.07.015}
}
@inproceedings{morBecHWetal95,
author = {Bechtold, T. and Hildenbrand, J. and W{\"{o}}llenstein, J. and
Korvink, J.~G.},
title = {Model Order Reduction of 3D Electro-Thermal Model for a Novel,
Micromachined Hotplate Gas Sensor},
booktitle = {Proceedings of 5th International Conference on Thermal and
Mechanical Simulation and Experiments in Microelectronics and
Microsystems},
year = 1995,
pages = {263--267},
doi = {10.1109/ESIME.2004.1304049}
}
@article{morBedBDetal19,
author = {Beddig, R.~S. and Benner, P. and Dorschky, I. and Reis, T. and
Schwerdtner, P. and Voigt, M. and Werner, S.~W.~R.},
title = {Model Reduction for Second-Order Dynamical Systems Revisited},
journal = pamm,
year = 2019,
volume = 19,
number = 1,
pages = {e201900224},
doi = {10.1002/pamm.201900224}
}
@incollection{morBedBDetal24,
author = {Beddig, R.~S. and Benner, P. and Dorschky, I. and Reis, T. and
Schwerdtner, P. and Voigt, M. and Werner, S.~W.~R.},
title = {Structure-Preserving Model Reduction for Dissipative
Mechanical Systems},
booktitle = {Calm, Smooth and Smart},
publisher = {Springer},
year = 2024,
editor = {Eberhard, P.},
volume = 102,
series = {Lect. Notes Appl. Comput. Mech.},
pages = {209--230},
address = {Cham},
doi = {10.1007/978-3-031-36143-2_11}
}
@inproceedings{morBelM14,
author = {Belhocine, M. and Marinescu, B.},
title = {A mix balanced-modal truncations for power systems model
reduction},
booktitle = {2014 European Control Conference (ECC)},
year = {2014},
pages = {14470358},
doi = {10.1109/ECC.2014.6862475}
}
@article{morBen04,
author = {P. Benner},
title = {Solving Large-Scale Control Problems},
journal = ieeecontsysmag,
year = 2004,
volume = 24,
number = 1,
pages = {44--59},
doi = {10.1109/MCS.2004.1272745}
}
@phdthesis{morBen05,
author = {Bennini, F.},
title = {Ordnungsreduktion von elektrostatisch-mechanischen {F}inite
{E}lemente {M}odellen auf der {B}asis der modalen {Z}erlegung},
school = {Technische Universit{\"{a}}t Chemnitz},
year = 2005,
type = {{Ph.D. Thesis}},
address = {Chemnitz}
}
@article{morBen06,
author = {P. Benner},
title = {Numerical Linear Algebra for Model Reduction in Control and
Simulation},
journal = gammmit,
year = 2006,
volume = 29,
number = 2,
pages = {275--296},
doi = {10.1002/gamm.201490034}
}
@inproceedings{morBen06a,
author = {Benner, P.},
title = {A {MATLAB} repository for model reduction based on spectral
projection},
booktitle = {2006 IEEE Conference on Computer Aided Control System Design,
2006 IEEE International Conference on Control Applications,
2006 IEEE International Symposium on Intelligent Control},
year = 2006,
pages = {19--24},
month = oct,
doi = {10.1109/CACSD-CCA-ISIC.2006.4776618},
issn = {2165-3011}
}
@inproceedings{morBen09,
author = {Benner, P.},
title = {System-Theoretic Methods for Model Reduction of Large-Scale
Systems: Simulation, Control, and Inverse Problems},
booktitle = {ARGESIM Report (MATHMOD 2009 Proceedings)},
volume = {35},
pages = {126--145},
year = {2009},
doi = {10.11128/arep.35}
}
@inproceedings{morBen10,
author = {P. Benner},
title = {Advances in balancing-related model reduction for circuit
simulation},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2008},
year = 2010,
editor = {J. Roos and L.~R.~J. Costa},
volume = 14,
series = {Mathematics in Industry},
pages = {469--482},
address = {Berlin/Heidelberg},
publisher = {Springer-Verlag}
}
@inproceedings{morBen13,
author = {Benner, Peter},
title = {Balancing-related model reduction for parabolic control
systems},
booktitle = {Proc. of the 1st IFAC Workshop on Control of Systems Governed
by Partial Differential Equations - CPDE 2013},
year = 2013,
volume = 1,
pages = {257--262},
doi = {10.3182/20130925-3-FR-4043.00065},
edition = {PART 1}
}
@book{morBen17,
editor = {P. Benner},
title = {System Reduction for Nanoscale {IC} Design},
publisher = {Springer},
year = 2017,
volume = 20,
series = {Mathematics in Industry},
isbn = {978-3-319-07235-7},
doi = {10.1007/978-3-319-07236-4}
}
@article{morBenB11,
author = {Benner, P. and Breiten, T.},
title = {On {$H_2$}-model reduction of linear parameter-varying
systems},
journal = pamm,
year = 2011,
volume = 11,
number = 1,
pages = {805--806},
doi = {10.1002/pamm.201110391}
}
@inproceedings{morBenB12,
author = {P. Benner and T. Breiten},
title = {{K}rylov-Subspace Based Model Reduction of Nonlinear Circuit
Models Using Bilinear and Quadratic-Linear Approximations},
booktitle = {Progress in Industrial Mathematics at ECMI 2010},
year = 2012,
editor = {M. G{\"{u}}nther and A. Bartel and M. Brunk and S. Sch{\"{o}}ps
and M. Striebel},
volume = 17,
series = {Mathematics in Industry},
pages = {153--159},
address = {Berlin},
publisher = springer,
doi = {10.1007/978-3-642-25100-9_18}
}
@article{morBenB12b,
author = {P. Benner and T. Breiten},
title = {Interpolation-based $\mathcal{H}_2$-model reduction of
bilinear control systems},
journal = siammatrix,
year = 2012,
volume = 33,
number = 3,
pages = {859--885},
doi = {10.1137/110836742}
}
@article{morBenB15,
author = {P. Benner and T. Breiten},
title = {Two-Sided Projection Methods for Nonlinear Model Order
Reduction},
journal = siamscicomp,
year = 2015,
volume = 37,
number = 2,
pages = {B239--B260},
doi = {10.1137/14097255X}
}
@incollection{morBenB17,
author = {Benner, P. and Breiten, T.},
title = {Model Order Reduction Based on System Balancing},
booktitle = {Model Reduction and Approximation},
publisher = {SIAM},
year = 2017,
editor = {Benner, P. and Cohen, A. and Ohlberger, M. and Willcox, K.},
series = {Computational Science \& Engineering},
pages = {261--295},
address = {Philadelphia, PA},
doi = {10.1137/1.9781611974829.ch6}
}
@article{morBenBD10,
author = {Benner, P. and Breiten, T. and Damm, T.},
title = {{K}rylov subspace methods for model order reduction of
bilinear discrete-time control systems},
journal = pamm,
year = 2010,
volume = 10,
number = 1,
pages = {601--602},
doi = {10.1002/pamm.201010293}
}
@article{morBenBD11,
author = {Benner, P. and Breiten, T. and Damm, T.},
title = {Generalized tangential interpolation for model reduction of
discrete-time {MIMO} bilinear systems},
journal = intcontrol,
year = 2011,
volume = 84,
number = 8,
pages = {1398--1407},
issn = {0020-7179},
doi = {10.1080/00207179.2011.601761},
publisher = {Taylor and Francis},
address = {London}
}
@incollection{morBenBF15,
author = {Benner, P. and Breiten, T. and Feng, L.},
title = {Matrix Equations and Model Reduction},
booktitle = {Matrix Functions and Matrix Equations},
publisher = {World Scientific},
year = 2015,
volume = 19,
series = {Series in Contemporary Applied Mathematics},
pages = {50--57},
editors = {Bai, Z. and Gao, W. and Su, Y.},
doi = {10.1142/9789814675772_0003}
}
@inproceedings{morBenBFetal09,
author = {Benner, P. and Bonin, T. and Fa{\ss}bender, H. and Saak,
J. and Soppa, A. and Zaeh, M.},
title = {Novel Model Reduction Techniques for Control of Machine Tools},
booktitle = {Proceedings of ANSYS Conference \& 27. CADFEM Users{\'{}}
Meeting 2009, 18.-20. November 2009, Congress Center Leipzig},
year = 2009,
address = {Grafing},
publisher = {CADFEM GmbH},
note = {ISBN/ISSN: 3-937523-06-5}
}
@incollection{morBenBG18,
author = {Benner, P. and Braukm{\"{u}}ller, M. and Grundel, S.},
title = {A Direct Index 1 {DAE} Model of Gas Networks},
booktitle = {Reduced-Order Modeling ({ROM}) for Simulation and
Optimization},
publisher = {Springer, Cham},
year = 2018,
editor = {Keiper, W. and Milde, A. and Volkwein, S.},
pages = {99--119},
doi = {10.1007/978-3-319-75319-5_5}
}
@article{morBenBHetal20,
author = {Benner, P. and Breiten, T. and Hartmann, C. and Schmidt, B.},
title = {Model reduction of controlled {F}okker-{P}lanck and
{L}iouville-von {N}eumann equations},
journal = {Journal of Computational Dynamics},
year = 2020,
volume = 7,
number = 1,
pages = {1--33},
doi = {10.3934/jcd.2020001}
}
@inproceedings{morBenCQetal04,
author = {P. Benner and M. Castillo and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Parallel Model Reduction of Large-Scale Unstable Systems},
booktitle = {Parallel Computing: Software Technology, Algorithms,
Architectures \& Applications. Proc. Intl. Conf. ParCo2003,
Dresden, Germany},
year = 2004,
editor = {G.~R. Joubert and W.~E. Nagel and F.~J. Peters and W.~V.
Walter},
volume = 13,
series = {Advances in Parallel Computing},
pages = {251--258},
publisher = {Elsevier B.V. (North-Holland)},
isbn = {0-444-51689-1}
}
@article{morBenCS19,
author = {Benner, P. and Cao, X. and Schilders, W.},
title = {A bilinear $\mathcal{H}_{2}$ model order reduction approach to
linear parameter-varying systems},
journal = advcomputmath,
volume = {45},
pages = {2241--2271},
year = {2019},
doi = {10.1007/s10444-019-09695-9}
}
@article{morBenD11,
author = {P. Benner and T. Damm},
title = {{L}yapunov equations, energy functionals, and model order
reduction of bilinear and stochastic systems},
journal = siamcontrolopt,
year = 2011,
volume = 49,
number = 2,
pages = {686--711},
doi = {10.1137/09075041X}
}
@incollection{morBenDEetal14,
author = {Benner, P. and Dufrechou, E. and Ezzatti, P. and Igounet,
P. and Quintana{-}Ort{{\'\i}}, E.~S. and Rem{\'{o}}n, A.},
title = {Accelerating Band Linear Algebra Operations on {GPU}s with
Application in Model Reduction},
booktitle = {Computational Science and Its Applications - {ICCSA} 2014 -
14th International Conference, Guimar{\~{a}}es, Portugal,
2014, Proceedings, Part {VI}},
publisher = springer,
year = 2014,
editor = {Beniamino Murgante and Sanjay Misra and Ana Maria A.~C. Rocha
and Carmelo Maria Torre and Jorge Gustavo Rocha and Maria
Irene Falc{\~{a}}o and David Taniar and Bernady O. Apduhan and
Osvaldo Gervasi},
volume = 8584,
series = lncs,
pages = {386--400},
isbn = {978-3-319-09152-5},
doi = {0.1007/978-3-319-09153-2_29}
}
@article{morBenDEetal15,
author = {Benner, P. and Dufrechou, E. and Ezzatti, P. and
Quintana-Ort{\'i}, E.~S. and Rem{\'o}n, A.},
title = {Unleashing {GPU} acceleration for symmetric band linear
algebra kernels and model reduction},
journal = {Cluster Computing},
year = 2015,
volume = 18,
number = 4,
pages = {1351--1362},
issn = {1573-7543},
doi = {10.1007/s10586-015-0489-x}
}
@article{morBenDRetal16,
author = {Benner, P. and Damm, T. and Redmann, M. and Cruz Y.~R.~R.},
title = {Positive operators and stable truncation},
journal = linalgapp,
year = 2016,
volume = 498,
pages = {74--87},
doi = {10.1016/j.laa.2014.12.005}
}
@article{morBenDYetal20,
author = {Benner, P. and Du, X. and Yang, G. and Ye, D.},
title = {Balanced truncation of linear time-invariant systems over
finite-frequency ranges},
journal = advcomputmath,
volume = {46},
number = {},
pages = {82},
year = {2020},
doi = {10.1007/s10444-020-09823-w}
}
@techreport{morBenEEetal18,
author = {Benaceur, A. and Ehrlacher, V. and Ern, A. and Meunier, S.},
title = {A progressive reduced basis/empirical interpolation method for
nonlinear parabolic problems},
institution = {Cornell University},
year = 2018,
type = {arXiv e-prints},
number = {1710.00511v2},
note = {math.NA},
url = {https://arxiv.org/abs/1710.00511}
}
@inproceedings{morBenEKetal11,
author = {Benner, P. and Eberhard, P. and Knoll, G. and K{\"{u}}rschner,
P. and Nowakowski, Christine C.and Ochse, G.},
title = {Optimale {FE}-{R}eduktion, {M}oderne {M}odellreduktion
elastischer {B}auteile f{\"{u}}r die {S}imulation flexibler
{M}ehrk{\"{o}}rpersysteme},
booktitle = {Informationstagung Motoren: Fr{\"{u}}hjahrstagung 2011},
year = 2011,
volume = {Heft R 553},
series = {Forschungsvereinigung Verbrennungskraftmaschinen},
pages = {175--197}
}
@incollection{morBenEKetal12,
author = {Benner, P. and Ezzatti, P. and Kressner, D. and
Quintana-Ort{\'\i}, E.~S. and Rem{\'o}n, Alfredo},
title = {Accelerating Model Reduction of Large Linear Systems with
Graphics Processors},
booktitle = {Applied Parallel and Scientific Computing},
publisher = springer,
year = 2012,
editor = {J{\'o}nasson, Kristj{\'a}n},
volume = 7134,
series = lncs,
pages = {88--97},
address = {Berlin/Heidelberg},
isbn = {978-3-642-28144-0},
doi = {10.1007/978-3-642-28145-7_9}
}
@inproceedings{morBenEQetal12,
author = {Benner, P. and Ezzatti P. and Quintana{-}Ort{{\'\i}} E.~S. and
Rem{\'{o}}n, A.},
title = {High Performance Implementations of the {BST} Method on Hybrid
{CPU-GPU} Platforms},
booktitle = {10th {IEEE} International Symposium on Parallel and
Distributed Processing with Applications, {ISPA} 2012,
Leganes, Madrid, Spain, July 10-13, 2012},
year = 2012,
pages = {662--668},
publisher = {IEEE},
isbn = {978-1-4673-1631-6},
doi = {10.1109/ISPA.2012.98}
}
@incollection{morBenEQetal12a,
author = {Benner, P. and Ezzatti P. and Quintana{-}Ort{{\'\i}} E.~S. and
Rem{\'{o}}n, A.},
title = {Accelerating {BST} Methods for Model Reduction with Graphics
Processors},
booktitle = {Parallel Processing and Applied Mathematics - 9th
International Conference, {PPAM} 2011, Torun, Poland,
September 11-14, 2011. Revised Selected Papers, Part {I}},
publisher = springer,
year = 2012,
editor = {R. Wyrzykowski and J. Dongarra and K. Karczewski and
J. Wasniewski},
volume = 7203,
series = lncs,
pages = {549--558},
address = {Berlin/Heidelberg},
isbn = {978-3-642-31463-6},
doi = {10.1007/978-3-642-31464-3_56}
}
@article{morBenF06,
author = {P. Benner and H. Fa{\ss}bender},
title = {Numerische {M}ethoden zur passivit{\"{a}}tserhaltenden
{M}odellreduktion},
journal = atautom,
year = 2006,
volume = 54,
number = 4,
pages = {153--160}
}
@inproceedings{morBenF06a,
author = {P. Benner and H. Fa{\ss}bender},
title = {Passivity Preserving Model Reduction via a Structured
{L}anczos Method},
booktitle = {Proc. 2006 {IEEE} Conf. CACSD, Munich, Germany, Oct. 4-6},
year = 2006,
pages = {8--13},
publisher = {IEEE}
}
@article{morBenF15,
author = {Benner, P. and Feng, L.},
title = {Model Order Reduction for Coupled Problems},
journal = {Applied and Computational Mathematics: An International
journal},
year = 2015,
volume = 14,
number = 1,
pages = {3--22},
url = {http://acmij.az/view.php?lang=az&menu=journal&id=372}
}
@incollection{morBenF19,
author = {Benner, P. and Fa{\ss}bender, H.},
title = {Model Order Reduction: Techniques and Tools},
booktitle = {Encyclopedia of Systems and Control},
editor = {Baillieul, J. and Samad, T.},
publisher = {Springer},
year = {2019},
doi = {10.1007/978-1-4471-5102-9_142-2}
}
@book{morBenF24,
author = {Benner, Peter and Fa{\ss}bender, Heike},
title = {{M}odellreduktion : {E}ine systemtheoretisch orientierte
{E}inf{\"u}hrung},
publisher = {Springer Spektrum},
year = 2024,
series = {{Springer Studium Mathematik (Master)}},
address = {Berlin, Heidelberg},
issn = {2509-9310; 2509-9329},
isbn = {978-3-662-67492-5; 978-3-662-67493-2},
doi = {10.1007/978-3-662-67493-2},
pages = {XIV, 259}
}
@inproceedings{morBenFLetal15,
author = {Benner, P. and Feng, L. and Li, S. and Zhang, Y.},
title = {Reduced-Order Modeling and {ROM}-Based Optimization of Batch
Chromatography},
booktitle = {Numerical Mathematics and Advanced Applications - ENUMATH
2013},
publisher = {Springer International Publishing},
pages = {427--435},
year = {2015},
doi = {10.1007/978-3-319-10705-9_42}
}
@article{morBenFSM14,
author = {Benner, P. and Feng, L. and Schoenmaker, W. and Meuris, P.},
title = {nano{COPS}: Parametric Modeling and Model Order Reduction of
Coupled Problems},
journal = {ECMI Newsletter},
year = 2014,
volume = 56,
pages = {68--69},
url = {http://www.mafy.lut.fi/EcmiNL/issues.php?action=viewart&ID=352}
}
@proceedings{morBenFSetal06,
title = {{Special Issue} on "{O}rder {R}eduction of {L}arge-{S}cale
{S}ystems"},
year = 2006,
editor = {P. Benner and R.~W. Freund and D.~C. Sorensen and A. Varga},
volume = {415, issues 2--3},
series = {Linear Algebra and Its Applications},
month = jun
}
@article{morBenFSetal06a,
author = {P. Benner and R.~W. Freund and D.~C. Sorensen and A. Varga},
title = {{Preface Special Issue} on "{O}rder reduction of large-scale
systems"},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {231--234}
}
@article{morBenG15,
author = {P. Benner and S. Grundel},
title = {Model order reduction for a family of linear systems with
applications in parametric and uncertain systems},
journal = applmathlett,
year = 2015,
volume = 39,
pages = {1--6},
doi = {10.1016/j.aml.2014.08.002}
}
@article{morBenG16,
author = {Benner, P. and Goyal, P.},
title = {Multipoint Interpolation of {V}olterra Series and
$\mathcal{H}_2$-Model Reduction for a Family of Bilinear
Descriptor Systems},
journal = scl,
year = 2016,
volume = 97,
pages = {1--11},
doi = {10.1016/j.sysconle.2016.08.008}
}
@inproceedings{morBenG16a,
author = {Benner, P. and Goyal, P.},
title = {Algebraic {G}ramians for quadratic-bilinear systems and their
application in model order reduction},
booktitle = {Proc. of the 22nd International Symposium on Mathematical
Theory of Networks and Systems - MTNS 2016 , Minnesota, USA},
year = 2016,
pages = {81--83},
url = {http://hdl.handle.net/11299/181518}
}
@techreport{morBenG17,
author = {Benner, P. and Goyal, P.},
title = {Balanced truncation model order reduction for
quadratic-bilinear systems},
institution = {arXiv},
year = 2017,
type = {e-prints},
number = {1705.00160},
note = {math.OC},
url = {https://arxiv.org/abs/1705.00160}
}
@incollection{morBenG18,
author = {Benner, P. and Goyal, P.},
title = {An iterative model reduction scheme for quadratic-bilinear
descriptor systems with an application to {N}avier-{S}tokes
equations},
booktitle = {Reduced-Order Modeling for Simulation and Optimization},
publisher = {Springer},
year = 2018,
editor = {Keiper, W. and Milde, A. and Volkwein, S.},
pages = {1--19},
doi = {10.1007/978-3-319-75319-5_1}
}
@article{morBenG21,
author = {Benner, P. and Goyal, P.},
title = {Interpolation-Based Model Order Reduction for Polynomial
Systems},
journal = siamscicomp,
year = 2021,
volume = 43,
number = 1,
pages = {A84--A108},
doi = {10.1137/19M1259171}
}
@article{morBenGG18,
author = {Benner, P. and Goyal, P. and Gugercin, S.},
title = {$\mathcal{H}_2$-Quasi-Optimal Model Order Reduction for
Quadratic-Bilinear Control Systems},
journal = siammatrix,
year = 2018,
volume = 39,
number = 2,
pages = {983--1032},
doi = {10.1137/16M1098280}
}
@article{morBenGH15,
author = {P. Benner and S. Grundel and N. Hornung},
title = {Parametric model order reduction with a small
$\mathcal{H}_2$-error using radial basis functions},
journal = advcomputmath,
year = 2015,
volume = 41,
number = 5,
pages = {1231--1253},
publisher = {Springer},
doi = {10.1007/s10444-015-9410-7}
}
@inproceedings{morBenGH18,
author = {Benner, P. and Grundel, S. and Himpe, C.},
title = {Parametric Model Order Reduction for Gas Flow Models},
booktitle = {ScienceOpen Posters (MoRePaS 2018 - Model Reduction of
Parametrized Systems IV)},
year = 2018,
doi = {10.14293/P2199-8442.1.SOP-MATH.EJOCET.v1}
}
@article{morBenGHetal22,
author = {Benner, P. and Goyal, P. and Heiland, J. and Pontes Duff, I.},
title = {Operator Inference and Physics-Informed Learning of
Low-Dimensional Models for Incompressible Flows},
journal = etna,
year = 2022,
volume = 56,
pages = {28--51},
doi = {10.1553/etna_vol56s28}
}
@article{morBenGHetal23,
author = {Benner, P. and Goyal, P. and Heiland, J. and Pontes, I.},
title = {A quadratic decoder approach to nonintrusive reduced-order
modeling of nonlinear dynamical systems},
journal = pamm,
year = 2023,
volume = 23,
number = 1,
pages = {e202200049},
doi = {10.1002/pamm.202200049}
}
@article{morBenGKetal20,
author = {Benner, P. and Goyal, P. and Kramer, B. and Peherstorfer,
B. and Willcox, K.},
title = {Operator Inference for Non-Intrusive Model Reduction of
Systems with Non-Polynomial Nonlinear Terms},
journal = compmethappmecheng,
year = 2020,
volume = 372,
pages = 113433,
doi = {10.1016/j.cma.2020.113433}
}
@article{morBenGM16,
author = {Benner, P. and Grundel, S. and Mlinari{\'c}, P.},
title = {Stability preserving model reduction for linearly coupled
linear time-invariant systems},
journal = pamm,
year = 2016,
volume = 16,
number = 1,
pages = {817--818},
doi = {10.1002/pamm.201610397}
}
@incollection{morBenGM20,
author = {Benner, P. and Grundel, S. and Mlinari{\'c}, P.},
title = {Clustering-Based Model Order Reduction for Nonlinear Network
Systems},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann R.},
publisher = {Birkh{\"{a}}user, Cham},
pages = {75--96},
year = {2021},
doi = {10.1007/978-3-030-72983-7_4}
}
@incollection{morBenGP22,
author = {Benner, P. and Goyal, P. and Pontes Duff, I.},
title = {Data-driven identification of {R}ayleigh-damped second-order
systems},
booktitle = {Realization and Model Reduction of Dynamical Systems - A
Festschrift in Honor of the 70th Birthday of {T}hanos
{A}ntoulas},
publisher = {Springer, Cham},
year = 2022,
pages = {255-272},
editors = {Beattie, C. and Benner, P. and Embree, M. and Gugercin, S. and
Lefteriu, S.},
doi = {10.1007/978-3-030-95157-3_14}
}
@article{morBenGP22a,
author = {Benner, P. and Goyal, P. and Pontes Duff, I.},
title = {{G}ramians, energy functionals and balanced truncation for
linear dynamical systems with quadratic outputs},
journal = ieeetransac,
year = 2022,
volume = 67,
number = 2,
pages = {886-893},
doi = {10.1109/TAC.2021.3086319}
}
@article{morBenGP24,
author = {Benner, P. and Goyal, P. and Pontes Duff, I.},
title = {Identification of Dominant Subspaces for Linear Structured
Parametric Systems and Model Reduction},
journal = intnumereng,
year = 2024,
doi = {10.1002/nme.7496}
}
@book{morBenGQetal21,
editor = {Benner, P. and Grivet-Talocia, S. and Quarteroni, A.
and Rozza, G. and Schilders, W.~H.~A. and Silveira, L.~M.},
title = {{Model Order Reduction. Volume 1: System- and Data-Driven
Methods and Algorithms}},
publisher = {De~Gruyter},
year = 2021,
address = {Berlin},
isbn = {978-3-11-050043-1},
doi = {10.1515/9783110498967}
}
@book{morBenGQetal21a,
editor = {Benner, P. and Grivet-Talocia, S. and Quarteroni, A.
and Rozza, G. and Schilders, W.~H.~A. and Silveira, L.~M.},
title = {{Model Order Reduction. Volume 2: Snapshot-Based Methods and
Algorithms}},
publisher = {De~Gruyter},
year = 2021,
address = {Berlin},
isbn = {978-3-11-067140-7},
doi = {10.1515/9783110671490}
}
@book{morBenGQetal21b,
editor = {Benner, P. and Grivet-Talocia, S. and Quarteroni, A.
and Rozza, G. and Schilders, W.~H.~A. and Silveira, L.~M.},
title = {{Model Order Reduction. Volume 3: Applications}},
publisher = {De~Gruyter},
year = 2021,
address = {Berlin},
isbn = {978-3-11-050044-8},
doi = {10.1515/9783110499001}
}
@incollection{morBenGR17,
author = {Benner, P. and Goyal, P. and Redmann, M.},
title = {Truncated {G}ramians for bilinear systems and their advantages
in model order reduction},
booktitle = {Model Reduction of Parametrized Systems},
publisher = {Springer},
year = 2017,
editor = {Benner, P. and Ohlberger, M. and Patera, T. and Rozza, G. and
Urban, K.},
volume = 17,
series = {MS\&A - Modeling, Simulation and Applications},
pages = {285--300},
address = {Cham},
doi = {10.1007/978-3-319-58786-8_18}
}
@article{morBenGV20,
author = {Benner, P. and Goyal, P. and Van Dooren, P.},
title = {Identification of Port-{H}amiltonian Systems from Frequency
Response Data},
journal = scl,
year = 2020,
volume = 143,
pages = {104741},
doi = {10.1016/j.sysconle.2020.104741}
}
@article{morBenGW15,
author = {Benner, P. and Gugercin, S. and Willcox, K.},
title = {A Survey of Projection-Based Model Reduction Methods for
Parametric Dynamical Systems},
journal = siamreview,
year = 2015,
volume = 57,
number = 4,
pages = {483--531},
doi = {10.1137/130932715}
}
@article{morBenGW21,
author = {Benner, P. and Gugercin, S. and Werner, S.~W.~R.},
title = {Structure-Preserving Interpolation for Model Reduction of
Parametric Bilinear Systems},
journal = automatica,
volume = {132},
pages = {109799},
year = {2021},
doi = {10.1016/j.automatica.2021.109799}
}
@article{morBenGW21a,
author = {Benner, P. and Gugercin, S. and Werner, S.~W.~R.},
title = {Structure-preserving interpolation of bilinear control
systems},
journal = advcomputmath,
volume = {47},
number = {3},
pages = {43},
year = {2021},
doi = {10.1007/s10444-021-09863-w}
}
@article{morBenGW24,
author = {Benner, P. and Gugercin, S. and Werner, S.~W.~R.},
title = {Structured interpolation for multivariate transfer functions
of quadratic-bilinear systems},
journal = advcomputmath,
year = 2024,
volume = 50,
number = 2,
pages = {Paper No. 18},
doi = {10.1007/s10444-024-10109-8}
}
@article{morBenGW24a,
author = {Benner, Peter and Gugercin, Serkan and Werner, Steffen W.~R.},
title = {Structure-preserving interpolation of quadratic-bilinear
systems via regular multivariate transfer functions},
journal = pamm,
year = 2024,
volume = 24,
number = 3,
pages = {e202400048},
doi = {10.1002/pamm.202400048}
}
@article{morBenH12,
author = {P. Benner and M.~W. Hess},
title = {The Reduced Basis Method for Time-Harmonic {M}axwell's
Equations},
journal = pamm,
year = 2012,
volume = 12,
number = 1,
pages = {661--662},
month = dec,
organization = {GAMM},
doi = {10.1002/pamm.201210319}
}
@incollection{morBenH15,
author = {P. Benner and J. Heiland},
title = {{LQG}-Balanced Truncation Low-Order Controller for
Stabilization of Laminar Flows},
booktitle = {Active Flow and Combustion Control 2014},
publisher = {Springer International Publishing},
year = 2015,
editor = {R. King},
volume = 127,
series = {Notes on Numerical Fluid Mechanics and Multidisciplinary
Design},
pages = {365--379},
isbn = {978-3-319-11966-3},
doi = {10.1007/978-3-319-11967-0_22}
}
@inproceedings{morBenH16,
author = {P. Benner and M.~W. Hess},
title = {Reduced Basis Modeling for Uncertainty Quantification of
Electromagnetic Problems in Stochastically Varying Domains},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2014},
year = 2016,
editor = {A. Bartel and M. Clemens and M. G{\"{u}}nther and E.~J.~W. {ter
Maten}},
volume = 23,
series = {Mathematics in Industry},
pages = {215--222},
publisher = {Springer International Publishing},
doi = {10.1007/978-3-319-30399-4}
}
@article{morBenH19,
author = {Benner, P. and Himpe, C.},
title = {Cross-{G}ramian-Based Dominant Subspaces},
journal = advcomputmath,
year = 2019,
volume = 45,
number = 5,
pages = {2533--2553},
doi = {10.1007/s10444-019-09724-7}
}
@article{morBenH23,
author = {Benner, P. and Heiland, J.},
title = {Space and Chaos-Expansion {G}alerkin {POD} Low-order
Discretization of {PDE}s for Uncertainty Quantification},
journal = intnumereng,
year = 2023,
volume = 124,
number = 12,
pages = {2801--2817},
doi = {10.1002/nme.7229}
}
@inproceedings{morBenHK11,
author = {Benner, P. and Hochstenbach, M.~E. and K{\"{u}}rschner, P.},
title = {Model order reduction of large-scale dynamical systems with
{J}acobi-{D}avidson style eigensolvers},
booktitle = {International Conference on Communications, Computing and
Control Applications (CCCA) 2011},
year = 2011,
pages = {1--6},
month = mar,
publisher = {IEEE},
doi = {10.1109/CCCA.2011.6031208}
}
@inproceedings{morBenHLetal18,
author = {Benner, P. and Herzog, R. and Lang, N. and Riedel, I. and
Saak, J.},
title = {Optimal sensor placement based on model order reduction},
booktitle = {Proceedings of the CIRP sponsored Conference on Thermal Issues
in Machine Tools},
pages = {355--365},
year = 2018
}
@article{morBenHLetal19,
author = {Benner, P. and Herzog, R. and Lang, N. and Riedel, I. and
Saak, J.},
title = {Comparison of Model Order Reduction Methods for Optimal Sensor
Placement for Thermo-Elastic Models},
journal = {Eng. Optim.},
year = {2019},
doi = {10.1080/0305215X.2018.1469133},
volume = 51,
number = 3,
pages = {465--483}
}
@book{morBenHM11,
editor = {Benner, P. and Hinze, M. and {ter Maten}, E.~J.~W.},
title = {Model Reduction for Circuit Simulation},
publisher = {Springer},
year = 2011,
volume = 74,
series = lnee,
address = {Dodrecht},
issn = {1876-1100},
isbn = {978-94-007-0088-8},
doi = {10.1007/978-94-007-0089-5},
pages = 315
}
@article{morBenHM18,
author = {Benner, P. and Himpe, C. and Mitchell, T.},
title = {On Reduced Input-Output Dynamic Mode Decomposition},
journal = advcomputmath,
year = 2018,
volume = 44,
number = 6,
pages = {1751--1768},
doi = {10.1007/s10444-018-9592-x}
}
@article{morBenHS14,
author = {Benner, P. and Hossain, M.-S. and Stykel, T.},
title = {Low-rank iterative methods for periodic projected {L}yapunov
equations and their application in model reduction of periodic
descriptor systems},
journal = numeralg,
year = 2014,
volume = 67,
number = 3,
pages = {669--690},
issn = {1017-1398},
doi = {10.1007/s11075-013-9816-6},
publisher = {J.C. Baltzer},
address = {Basel, Switzerland}
}
@article{morBenHW22,
author = {P. Benner and J. Heiland and S.~W.~R. Werner},
title = {Robust output-feedback stabilization for incompressible flows
using low-dimensional
{\(\mathcal{H}\)}\({}_{\mbox{{\(\infty\)} }}\)-controllers},
journal = {Comput. Optim. Appl.},
year = 2022,
volume = 82,
number = 1,
pages = {225--249},
doi = {10.1007/s10589-022-00359-x}
}
@techreport{morBenKS11,
author = {P. Benner and M. K{\"{o}}hler and J. Saak},
title = {Sparse-Dense {S}ylvester Equations in {${H}_2$}-Model Order
Reduction},
institution = {Max Planck Institute Magdeburg},
year = 2011,
type = {Preprint},
number = {MPIMD/11-11},
url = {https://csc.mpi-magdeburg.mpg.de/preprints/2011/11/},
month = dec
}
@article{morBenKS12,
author = {Benner, P. and K{\"{u}}rschner, P. and Saak, J.},
title = {A Goal-Oriented Dual {LRCF-ADI} for Balanced Truncation},
journal = {IFAC Proceedings Volumes (7th Vienna International Conference
on Mathematical Modelling)},
year = 2012,
volume = 45,
number = 2,
pages = {752--757},
doi = {10.3182/20120215-3-AT-3016.00133}
}
@article{morBenKS12a,
author = {Benner, P. and K{\"{u}}rschner, P. and Saak, J.},
title = {Improved Second-Order Balanced Truncation for Symmetric
Systems},
journal = {IFAC Proceedings Volumes (7th Vienna International Conference
on Mathematical Modelling)},
year = 2012,
volume = 45,
number = 2,
pages = {758--762},
doi = {10.3182/20120215-3-AT-3016.00134}
}
@article{morBenKS13,
author = {P. Benner and P. K{\"{u}}rschner and J. Saak},
title = {An Improved Numerical Method for Balanced Truncation for
Symmetric Second Order Systems},
journal = mcmds,
year = 2013,
volume = 19,
number = 6,
pages = {593--615},
doi = {10.1080/13873954.2013.794363}
}
@article{morBenKS13a,
author = {P. Benner and P. K{\"{u}}rschner and J. Saak},
title = {A Reformulated Low-Rank {ADI} Iteration with Explicit Residual
Factors},
journal = pamm,
year = 2013,
volume = 13,
number = 1,
pages = {585--586},
doi = {10.1002/pamm.201310273}
}
@article{morBenKS16,
author = {P. Benner and P. K{\"{u}}rschner and J. Saak},
title = {Frequency-Limited Balanced Truncation with Low-Rank
Approximations},
journal = siamscicomp,
year = 2016,
volume = 38,
number = 1,
pages = {A471--A499},
month = feb,
doi = {10.1137/15M1030911}
}
@incollection{morBenKS21,
author = {Benner, P. and K{\"{o}}hler, M. and Saak, J.},
title = {Matrix Equations, Sparse Solvers: {M-M.E.S.S.}-2.0.1 --
Philosophy, Features and Application for (Parametric) Model
Order Reduction},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
publisher = {Birkh{\"{a}}user, Cham},
pages = {369--392},
year = {2021},
doi = {10.1007/978-3-030-72983-7_18}
}
@article{morBenKSetal12,
author = {Benner, P. and Kranz, B. and Saak, J. and Uddin, M.~M.},
title = {Efficient Reduced Order State Space Model Computation for a
Class of Second Order Index One Systems},
journal = pamm,
year = 2012,
volume = 12,
number = 1,
pages = {699--700},
doi = {10.1002/pamm.201210338}
}
@article{morBenKTetal16,
author = {Benner, P. and K{\"{u}}rschner, P. and Tomljanovi{\'c}, Z. and
Truhar, N.},
title = {Semi-active damping optimization of vibrational systems using
the parametric dominant pole algorithm},
journal = zangewmathmech,
year = 2016,
volume = 96,
number = 5,
pages = {604--619},
doi = {10.1002/zamm.201400158},
publisher = wileyvch
}
@article{morBenL04,
author = {J.~K. Bennighof and R.~B. Lehoucq},
title = {An automated multilevel substructuring method for eigenspace
computation in linear elastodynamics},
journal = siamscicomp,
year = 2004,
volume = 25,
number = 6,
pages = {2084--2106}
}
@article{morBenLS13,
author = {Benner, P. and Lang, N. and Saak, J.},
title = {Modeling structural variability in reduced order models of
machine tool assembly groups via parametric {MOR}},
journal = pamm,
year = 2013,
volume = 13,
pages = {481--482},
month = dec,
publisher = wileyvch,
organization = {GAMM},
doi = {10.1002/pamm.201310233}
}
@inproceedings{morBenLS13a,
author = {Benner, P. and Lang, N. and Saak, J.},
title = {Modellordnungsreduktion f{\"{u}}r geschaltete, gekoppelte
thermo-elastische {S}ysteme},
booktitle = {Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik"},
year = 2013,
editor = {Sawodny, O. and Adamy, J.},
pages = {215--227},
organization = {Institut f{\"{u}}r Automatisierungstechnik und Mechatronik},
publisher = {Technische Universit{\"{a}}t Darmstadt}
}
@article{morBenLS23,
author = {Benner, P. and Lund, K. and Saak, J.},
title = {Towards a benchmark framework for model order reduction in the
{M}athematical {R}esearch {D}ata {I}nitiative ({MaRDI})},
journal = pamm,
year = 2023,
volume = 23,
number = 3,
pages = {e202300147},
doi = {10.1002/pamm.202300147}
}
@incollection{morBenMQetal02,
author = {P. Benner and R. Mayo and E.~S. Quintana and
G. Quintana-Ort{\'\i}},
title = {Enhanced services for remote model reduction of large-scale
dense linear systems},
booktitle = {PARA'02 Conference on Applied Parallel Computing, Espoo
(Finland), 2002},
publisher = springer,
year = 2002,
editor = {J. Fagerholm and J. Haataja and J. J{\"{a}}rvinen and M. Lyly
and P. Raback and V. Savolainen},
volume = 2367,
pages = {329--338},
annote = {ISBN: 3-540-43786-X},
sweries = lncs
}
@incollection{morBenMQetal04,
author = {P. Benner and R. Mayo and E.~S. Quintana and
G. Quintana-Ort{\'\i}},
title = {A Model Reduction Web Environment for Very Large Linear
Dynamical Systems},
booktitle = {Parallel and Distributed Scientific and Engineering Computing:
Practice and Experience},
publisher = {NOVA Science Publishers, Hauppauge, NY},
year = 2004,
editor = {V.~Y. Pan and L.~T. Yang},
volume = 15,
series = {Advances in Computation: Theory and Practice},
pages = {23--33},
annote = {ISBN: 1-59033-956-8}
}
@book{morBenMS05,
author = {Benner, P. and Mehrmann, V. and Sorensen, D.~C.},
title = {Dimension Reduction of Large-Scale Systems},
publisher = springer,
year = 2005,
volume = 45,
series = lncse,
address = {Berlin/Heidelberg, Germany},
doi = {10.1007/3-540-27909-1}
}
@book{morBenOCetal17,
editor = {Benner, P. and Ohlberger, M. and Cohen, A. and Willcox, K.},
title = {Model Reduction and Approximation: Theory and Algorithms},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA},
series = {Computational Science \& Engineering},
year = {2017},
doi = {10.1137/1.9781611974829},
isbn = {978-1-611974-81-2}
}
@book{morBenOPetal17,
editor = {Benner, P. and Ohlberger, M. and Patera, A.~T. and Rozza,
G. and Urban, K.},
title = {Model Reduction of Parametrized Systems},
publisher = {Springer International Publishing},
year = 2017,
doi = {10.1007/978-3-319-58786-8},
isbn = {978-3-319-58786-8}
}
@inproceedings{morBenQ05,
author = {Benner, P. and Quintana-Ort{\'\i}, E.~S.},
title = {Model Reduction Based on Spectral Projection Methods},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {Benner, P. and Mehrmann, V. and Sorensen, D.},
volume = 45,
series = lncse,
pages = {5--45},
address = {Berlin/Heidelberg, Germany},
publisher = {Springer},
doi = {10.1007/3-540-27909-1_1}
}
@article{morBenQQ00,
author = {Benner, P. and Quintana-Ort{\'\i}, E.~S. and
Quintana-Ort{\'\i}, G.},
title = {Balanced Truncation Model Reduction of Large-Scale Dense
Systems on Parallel Computers},
journal = mcmds,
year = 2000,
volume = 6,
number = 4,
pages = {383--405},
annote = {Berichte aus der Techno\-mathe\-ma\-tik, Report 99--07,
FB3~--~Mathematik und Informatik, Universit{\"{a}}t Bremen, 28334
Bremen (Germany), September 1999},
publisher = {Taylor \& Francis},
doi = {10.1076/mcmd.6.4.383.3658}
}
@incollection{morBenQQ00a,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Singular Perturbation Approximation of Large, Dense Linear
Systems},
booktitle = {Proc. 2000 {IEEE} Intl. Symp. CACSD, Anchorage, Alaska, USA,
September 25--27, 2000},
publisher = {IEEE Press, Piscataway, NJ},
year = 2000,
pages = {255--260},
annote = {ISBN 0-7803-6488-0}
}
@inproceedings{morBenQQ00b,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Efficient Numerical Model Reduction Methods for Discrete-Time
Systems},
booktitle = {Proc. IMACS Symp. Math. Modelling, 3rd MATHMOD Vienna,
\upshape{Vol. 1}},
year = 2000,
editor = {I. Troch and F. Breitenecker},
number = 15,
series = {ARGESIM Reports},
pages = {277--280},
month = feb,
address = {Vienna (Austria)}
}
@article{morBenQQ01,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Efficient Numerical Algorithms for Balanced Stochastic
Truncation},
journal = intjappcompsci,
year = 2001,
volume = 11,
number = 5,
pages = {1123--1150},
annote = {Berichte aus der Techno\-mathe\-ma\-tik, Report 01--03,
FB3~--~Mathematik und Informatik, Universit{\"{a}}t Bremen, 28334
Bremen (Germany), March 2001}
}
@inproceedings{morBenQQ01b,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {{PSLICOT} Routines for Model Reduction of Stable Large-Scale
Systems},
booktitle = {Proc. 3rd NICONET Workshop on Numerical Software in Control
Engineering, Louvain-la-Neuve, Belgium, January 19, 2001},
year = 2001,
pages = {39--44}
}
@techreport{morBenQQ02,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Experimental evaluation of the parallel model reduction
routines in {PSLICOT}},
institution = {Niconet e.V.},
year = 2002,
type = {SLICOT Working Note},
number = {2002--7},
month = aug,
note = {Available from \url{www.slicot.org}}
}
@article{morBenQQ03,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {State-Space Truncation Methods for Parallel Model Reduction of
Large-Scale Systems},
journal = parcomputing,
year = 2003,
volume = 29,
pages = {1701--1722}
}
@article{morBenQQ03a,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Parallel Algorithms for Model Reduction of Discrete-Time
Systems},
journal = {Internat. J. Systems Sci.},
year = 2003,
volume = 34,
number = 5,
pages = {319--333},
annote = {FB3~--~Mathematik und Informatik, Universit{\"{a}}t Bremen,
Berichte aus der Techno\-mathe\-ma\-tik, Report 00--18, 28334
Bremen (Germany), December2000.}
}
@inproceedings{morBenQQ04,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Computing Optimal {H}ankel Norm Approximations of Large-Scale
Systems},
booktitle = {Proc. 43rd {IEEE} Conf. Decision Contr.},
year = 2004,
pages = {3078--3083},
publisher = {Omnipress, Madison, WI},
annote = {CD Rom},
isbn = {0-7803-8683-3}
}
@inproceedings{morBenQQ04a,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Computing Passive Reduced-Order Models for Circuit Simulation},
booktitle = {Proc. Intl. Conf. Parallel Comp. in Elec. Engrg. PARELEC 2004},
year = 2004,
pages = {146--151},
publisher = {IEEE Computer Society, Los Alamitos, CA},
isbn = {0-7695-2080-4}
}
@inproceedings{morBenQQ05,
author = {P. Benner and E.~S. Quintana-Ort{\'\i} and
G. Quintana-Ort{\'\i}},
title = {Parallel Model Reduction of Large-Scale Linear Descriptor
Systems via Balanced Truncation},
booktitle = {High Performance Computing for Computational Science - VECPAR
2004},
year = 2005,
editor = {M. Dayd{\'e} and J.~J. Dongarra and V. Hern{\'a}ndez and
J.~M.~L.~M. Palma},
volume = 3402,
series = lncs,
pages = {340--353},
address = {Berlin/Heidelberg, Germany},
publisher = springer,
isbn = {3-540-25424-2},
doi = {10.1007/11403937_27}
}
@article{morBenR15,
author = {Benner, P. and Redmann, M.},
title = {Model reduction for Stochastic systems},
journal = {Stochastics Partial Differential Equations: Analysis and
Computations},
year = 2015,
volume = 3,
number = 3,
pages = {291--338},
doi = {10.1007/s40072-015-0050-1}
}
@article{morBenR17a,
author = {P. Benner and M. Redmann},
title = {An {$\mathcal H_2$}-Type Error Bound for Balancing- Related
Model Order Reduction of Linear Systems with {L}{\'e}vy Noise},
journal = {Systems \& Control Letters},
year = 2017,
volume = 105,
pages = {1--5},
doi = {10.1016/j.sysconle.2017.04.004}
}
@article{morBenR18,
author = {Benner, P. and Redmann, M.},
title = {Singular Perturbation Approximation for Linear Systems with
{L}{\'e}vy Noise},
journal = {Stochastics and Dynamics},
year = 2018,
volume = {18},
number = {4},
pages = {1850033},
doi = {10.1142/S0219493718500338}
}
@inproceedings{morBenS05,
author = {P. Benner and J. Saak},
title = {A Semi-Discretized Heat Transfer Model for Optimal Cooling of
Steel Profiles},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {P. Benner and V. Mehrmann and D. Sorensen},
volume = 45,
series = lncse,
pages = {353--356},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
doi = {10.1007/3-540-27909-1_19}
}
@inproceedings{morBenS09,
author = {P. Benner and J. Saak},
title = {Efficient {B}alancing based {MOR} for {S}econd {O}rder
{S}ystems {A}rising in {C}ontrol of {M}achine {T}ools},
booktitle = {Proceedings of the MathMod 2009},
year = 2009,
editor = {I. Troch and F. Breitenecker},
number = 35,
series = {ARGESIM-Reports},
pages = {1232--1243},
month = jan,
address = {Vienna, Austria},
organization = {Vienna Univ. of Technology},
publisher = {ARGE Simulation News},
note = {ISBN/ISSN: 978-3-901608-35-3}
}
@inproceedings{morBenS10,
author = {Benner, P. and Schneider, A.},
title = {{Balanced Truncation Model Order Reduction for {LTI} Systems
with many Inputs or Outputs}},
booktitle = {Proc. of the 19th International Symposium on Mathematical
Theory of Networks and Systems},
year = 2010,
editor = {Edelmayer, Andr{\'a}s},
pages = {1971--1974},
address = {Budapest, Hungary},
isbn = {978-963-311-370-7}
}
@article{morBenS11,
author = {P. Benner and J. Saak},
title = {Efficient balancing-based {MOR} for large-scale second-order
systems},
journal = mcmds,
year = 2011,
volume = 17,
number = 2,
pages = {123--143},
doi = {10.1080/13873954.2010.540822}
}
@inproceedings{morBenS11a,
author = {P. Benner and A. Schneider},
title = {Model Reduction for Linear Descriptor Systems with Many Ports},
booktitle = {Progress in Industrial Mathematics at ECMI 2010},
year = 2012,
editor = {Michael G{\"{u}}nther and Andreas Bartel and Markus Brunk and
Sebastian Sch{\"{o}}ps and Michael Striebel},
volume = 17,
series = {Mathematics in Industry},
pages = {137--143},
address = {Berlin},
publisher = springer,
doi = {10.1007/978-3-642-25100-9_16}
}
@incollection{morBenS11b,
author = {Benner, P. and Schneider, A.},
title = {On Stability, Passivity and Reciprocity Preservation of
{ESVDMOR}},
booktitle = {Model Reduction for Circuit Simulation},
publisher = springer,
year = 2011,
editor = {Benner, Peter and Hinze, Michael and {ter Maten}, E.~J.~W.},
volume = 74,
series = lnee,
pages = {277--288},
isbn = {978-94-007-0088-8},
doi = {10.1007/978-94-007-0089-5_16}
}
@incollection{morBenS12,
author = {Benner, P. and Schneider, A.},
title = {Some Remarks on A Priori Error Estimation for {ESVDMOR}},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2010},
publisher = {Springer-Verlag},
year = 2012,
editor = {Bastiaan, Michielsen and Poirier, Jean-Ren{\'e}},
volume = 16,
series = {Mathematics in Industry / The European Consortium for
Mathematics in Industry},
pages = {15--24},
address = {Berlin},
isbn = {978-3-642-22452-2},
doi = {10.1007/978-3-642-22453-9_2}
}
@techreport{morBenS13,
author = {Benner, P. and Schneider, J.},
title = {Uncertainty Quantification for {M}axwell's Equations Using
Stochastic Collocation and Model Order Reduction},
institution = {Max Planck Institute Magdeburg},
year = 2013,
type = {Preprint},
number = {MPIMD/13-19},
month = oct,
note = {Submitted to International Journal for Uncertainty
Quantification}
}
@article{morBenS15,
author = {Benner, P. and Schneider, J.},
title = {Uncertainty quantification for {M}axwell's equations using
stochastic collocation and model order reduction},
journal = {International Journal for Uncertainty Quantification},
year = 2015,
volume = 5,
number = 3,
pages = {195--208},
doi = {10.1615/Int.J.UncertaintyQuantification.2015010170}
}
@incollection{morBenS17,
author = {Benner, P. and Stykel, T.},
title = {Model Order Reduction for Differential-Algebraic Equations: A
Survey},
booktitle = {Surveys in Differential-Algebraic Equations IV},
publisher = {Springer International Publishing},
year = 2017,
editor = {Ilchmann, Achim and Reis, Timo},
series = {Differential-Algebraic Equations Forum},
pages = {107--160},
month = mar,
address = {Cham},
isbn = {978-3-319-46618-7},
doi = {10.1007/978-3-319-46618-7_3}
}
@incollection{morBenS17a,
author = {Benner, P. and Schneider, A.},
title = {Reduced Representation of Power Grid Models},
booktitle = {System Reduction for Nanoscale {IC} Design},
publisher = {Springer},
year = 2017,
editor = {Benner, P.},
volume = 20,
series = {Mathematics in Industry},
pages = {87--134},
address = {Cham},
doi = {10.1007/978-3-319-07236-4_3}
}
@book{morBenSGetal21,
author = {Benner, P. and Schilders, W. and Grivet-Talocia, S. and
Quarteroni, A. and Rozza, G. and Silveira, L.~M.},
title = {Model Order Reduction},
publisher = {De Gruyter},
address = {Berlin, Boston},
year = {2021},
url = {https://www.degruyter.com/view/title/523453}
}
@inproceedings{morBenSU12,
author = {Benner, P. and Saak, J. and Uddin, M.~M.},
title = {Second Order to Second Order Balancing for Index-1 Vibrational
Systems},
booktitle = {{7th International Conference on Electrical \& Computer
Engineering (ICECE) 2012}},
year = 2012,
pages = {933--936},
organization = {IEEE},
doi = {10.1109/ICECE.2012.6471704}
}
@article{morBenSU16,
author = {Benner, P. and Saak, J. and Uddin, M.~M.},
title = {Balancing based model reduction for structured index-2
unstable descriptor systems with application to flow control},
journal = {Numer. Algebra Control Optim.},
year = 2016,
volume = 6,
number = 1,
pages = {1--20},
month = mar,
issn = {2155-3289},
doi = {10.3934/naco.2016.6.1}
}
@article{morBenSU16a,
author = {Benner, P. and Saak, J. and Uddin, M.~M.},
title = {Structure preserving model order reduction of large sparse
second-order index-1 systems and application to a mechatronics
model},
journal = mcmds,
year = 2016,
volume = 22,
number = 6,
pages = {509--523},
month = aug,
doi = {10.1080/13873954.2016.1218347}
}
@inproceedings{morBenSU16b,
author = {Benner, P. and Saak, J. and Uddin, M.~M.},
title = {Reduced-Order Modeling of Index-1 Vibrational Systems Using
Interpolatory Projections},
booktitle = {Proceedings of the 19th International Conference On Computer
and Information Technology},
year = 2016,
pages = {134--138},
month = dec,
address = {Dhaka, Bangladesh},
publisher = {IEEE Publications},
doi = {10.1109/ICCITECHN.2016.7860183}
}
@incollection{morBenSV14,
author = {Benner, P. and Sachs, E. and Volkwein, S.},
title = {Model Order Reduction for {PDE} Constrained Optimization},
booktitle = {Trends in PDE Constrained Optimization},
publisher = {Birkh{\"{a}}user},
year = 2014,
editor = {Leugering, G. and P. Benner and S. Engell and A. Griewank and
H. Harbrecht and M. Hinze and R. Rannacher and S. Ulbrich},
volume = 165,
series = {International Series of Numerical Mathematics},
pages = {303--326},
address = {Basel},
doi = {10.1007/978-3-319-05083-6_19}
}
@inproceedings{morBenTT11,
author = {Benner, P. and Tomljanovi{\'c}, Z. and Truhar, N.},
title = {Damping Optimization for Linear Vibrating Systems Using
Dimension Reduction},
booktitle = {Vibration Problems ICOVP 2011},
year = 2011,
editor = {N{\'a}prstek, J. and Hor{\'a}{\v c}ek, J. and Okrouhl{\'\i}k,
M. and Marvalov{\'a}, B. and Verhulst, F. and Sawicki, J.~T.},
volume = {139, Part 5},
series = {Springer Proceedings in Physics},
pages = {297--305},
address = {Prag, Czech Republic},
publisher = springer,
isbn = {978-94-007-2068-8},
doi = {10.1007/978-94-007-2069-5_41}
}
@article{morBenTT11a,
author = {Benner, P. and Tomljanovi{\'c}, Z. and Truhar, N.},
title = {Dimension reduction for damping optimization in linear
vibrating systems},
journal = zangewmathmech,
year = 2011,
volume = 91,
number = 3,
pages = {179--191},
publisher = wileyvch,
issn = {1521-4001},
doi = {10.1002/zamm.201000077}
}
@article{morBenTT13,
author = {Benner, P. and Tomljanovi{\'c}, Z. and Truhar, N.},
title = {Optimal damping of selected eigenfrequencies using dimension
reduction},
journal = numalgappl,
year = 2013,
volume = 20,
number = 1,
pages = {1--17},
issn = {1070-5325},
doi = {10.1002/nla.833},
publisher = wileysons,
address = {Chichester, West Sussex, UK}
}
@article{morBenW17,
author = {Benner, P. and Werner, S.~W.~R.},
title = {On the transformation formulas of the {H}ankel-norm
approximation},
journal = pamm,
year = 2017,
volume = 17,
number = 1,
pages = {823--824},
publisher = wileyvch,
doi = {10.1002/pamm.201710379}
}
@misc{morBenW17a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB}-3.0 -- Model Order Reduction Laboratory},
year = 2017,
note = {see also:
\url{http://www.mpi-magdeburg.mpg.de/projects/morlab}},
key = {MORLAB},
doi = {10.5281/zenodo.842659}
}
@inproceedings{morBenW17b,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} - {M}odellreduktion in {MATLAB}},
booktitle = {Tagungsband GMA-FA 1.30 'Modellierung, Identifikation und
Simulation in der Automatisierungstechnik' und GMA-FA 1.40
'Theoretische Verfahren der Regelungstechnik', Workshop in
Anif, Salzburg, 18.-22.09.2017},
year = 2017,
editor = {Meurer, T. and Woittennek, F.},
pages = {508--517},
url = {http://www.control.tf.uni-kiel.de/files/gma/2017/Tagungsband2017.pdf}
}
@article{morBenW18,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Model Reduction of Descriptor Systems with the {MORLAB}
Toolbox},
journal = {{IFAC-PapersOnLine} 9th Vienna International Conference on
Mathematical Modelling {MATHMOD} 2018, Vienna, Austria, 21--23
February 2018},
year = 2018,
volume = 51,
number = 2,
pages = {547--552},
doi = {10.1016/j.ifacol.2018.03.092}
}
@article{morBenW18a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Balancing Related Model Reduction with the {MORLAB} Toolbox},
journal = pamm,
year = 2018,
volume = 18,
number = 1,
pages = {e201800083},
doi = {10.1002/pamm.201800083}
}
@misc{morBenW18b,
key = {MORLAB},
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {Model Order Reduction LABoratory} (Version 4.0)},
year = 2018,
doi = {10.5281/zenodo.1574083},
note = {see also:
\url{http://www.mpi-magdeburg.mpg.de/projects/morlab}}
}
@misc{morBenW19,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally {D}amped {D}ominant
{P}ole {A}lgorithm (Version 1.0)},
year = 2019,
doi = {10.5281/zenodo.2553902}
}
@misc{morBenW19a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Limited Balanced Truncation for Large-Scale Sparse
Second-Order Systems (Version 1.0)},
year = 2019,
doi = {10.5281/zenodo.2553926}
}
@misc{morBenW19b,
key = {MORLAB},
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {Model Order Reduction LABoratory} (Version 5.0)},
year = 2019,
doi = {10.5281/zenodo.3332716},
note = {see also:
\url{http://www.mpi-magdeburg.mpg.de/projects/morlab}}
}
@inproceedings{morBenW19c,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {M}odel {O}rder {R}eduction {LAB}oratory},
booktitle = {Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und
Simulation in der Automatisierungstechnik' und GMA-FA 1.40
'Systemtheorie und Regelungstechnik', Workshops in
Anif, Salzburg, 23.-27.09.2019},
year = 2019,
editor = {Meurer, T. and Woittennek, F.},
pages = {337--342},
url = {http://www.control.tf.uni-kiel.de/files/gma/2019/Tagungsband2019.pdf}
}
@inproceedings{morBenW19d,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Frequenz- und zeitbeschr{\"{a}}nktes balanciertes {A}bschneiden
f{\"{u}}r {S}ysteme zweiter {O}rdnung},
booktitle = {Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und
Simulation in der Automatisierungstechnik' und GMA-FA 1.40
'Systemtheorie und Regelungstechnik', Workshops in
Anif, Salzburg, 23.-27.09.2019},
year = 2019,
editor = {Meurer, T. and Woittennek, F.},
pages = {460--474},
url = {http://www.control.tf.uni-kiel.de/files/gma/2019/Tagungsband2019.pdf}
}
@misc{morBenW20,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Limited Balanced Truncation for Large-Scale Sparse
Second-Order Systems (Version 2.0)},
year = 2020,
doi = {10.5281/zenodo.3331592}
}
@misc{morBenW20a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally-{D}amped {D}ominant
{P}ole {A}lgorithm (Version 1.1)},
year = 2020,
doi = {10.5281/zenodo.3332706}
}
@article{morBenW20d,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{H}ankel-norm approximation of large-scale descriptor
systems},
journal = advcomputmath,
volume = {46},
number = {3},
pages = {40},
year = {2020},
doi = {10.1007/s10444-020-09750-w}
}
@incollection{morBenW20e,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- {A} Model Order Reduction Framework in {MATLAB}
and {O}ctave},
booktitle = {Mathematical Software -- ICMS 2020},
series = lncs,
volume = {12097},
editor = {Bigatti, A.~M. and Carette, J. and Davenport, J.~H. and
Joswig, M. and de~Wolff, T.},
publisher = {Springer International Publishing},
address = {Cham},
pages = {432--441},
year = {2020},
doi = {10.1007/978-3-030-52200-1_43}
}
@misc{morBenW21,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally-{D}amped {D}ominant
{P}ole {A}lgorithm (Version 2.0)},
month = apr,
year = 2021,
doi = {10.5281/zenodo.3997649}
}
@misc{morBenW21a,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{SOLBT} -- {L}imited Balanced Truncation for Large-Scale
Sparse Second-Order Systems (Version 3.0)},
month = apr,
year = 2021,
doi = {10.5281/zenodo.4600763}
}
@article{morBenW21b,
author = {Benner, P. and Werner, S.~W.~R.},
title = {Frequency- and time-limited balanced truncation for
large-scale second-order systems},
journal = linalgapp,
year = {2021},
volume = {623},
pages = {68--103},
note = {Special issue in honor of P.~Van~Dooren, Edited by
F.~Dopico, D.~Kressner, N.~Mastronardi, V.~Mehrmann, and
R.~Vandebril},
doi = {10.1016/j.laa.2020.06.024}
}
@incollection{morBenW21c,
author = {Benner, P. and Werner, S.~W.~R.},
title = {{MORLAB} -- The {M}odel {O}rder {R}eduction {LAB}oratory},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
publisher = {Birkh{\"{a}}user, Cham},
pages = {393--415},
year = 2021,
doi = {10.1007/978-3-030-72983-7_19}
}
@article{morBenZ22,
author = {Bendokat, T. and Zimmermann, R.},
title = {Geometric Optimization for Structure-Preserving Model
Reduction of {Hamiltonian} Systems},
journal = {IFAC-PapersOnLine: 10th Vienna International Conference on
Mathematical Modelling MATHMOD 2022},
year = 2022,
volume = 55,
number = 20,
pages = {457-462},
issn = {2405-8963},
doi = {10.1016/j.ifacol.2022.09.137}
}
@article{morBerHL93,
author = {Berkooz, G. and Holmes, P. and Lumley, J.~L.},
title = {The proper orthogonal decomposition in the analysis of
turbulent flows},
journal = {Annual review of fluid mechanics},
year = 1993,
volume = 25,
pages = {539--575},
publisher = {Annual Reviews},
address = {Palo Alto, CA},
doi = {10.1146/annurev.fl.25.010193.002543}
}
@inproceedings{morBesSJ14,
author = {Besselink, B. and Sandberg, H. and Johansson, K.~H.},
title = {Model reduction of networked passive systems through
clustering},
booktitle = {Proc. European Control Conf. ECC~2014, Strasbourg},
year = 2014,
pages = {1069--1074},
month = jun,
doi = {10.1109/ECC.2014.6862415}
}
@article{morBesSJ16,
author = {Besselink, B. and Sandberg, H. and Johansson, K.~H.},
title = {Clustering-Based Model Reduction of Networked Passive Systems},
journal = ieeetransac,
year = 2016,
volume = 61,
number = 10,
pages = {2958--2973},
doi = {10.1109/TAC.2015.2505418}
}
@article{morBesTLetal13,
author = {Besselink, B. and Tabak, U. and Lutowska, A. and van de Wouw,
N. and Nijmeijer, H. and Rixen, D.~J. and Hochstenbach, M.~E.
and Schilders, W.~H.~A.},
title = {A comparison of model reduction techniques from structural
dynamics, numerical mathematics and systems and control},
journal = {Journal of Sound and Vibration},
volume = {332},
number = {19},
pages = {4403--4422},
year = {2013},
doi = {10.1016/j.jsv.2013.03.025}
}
@article{morBetA92,
author = {Bettayeb, M. and Al-Saggaf, U.~M.},
title = {Practical model reduction techniques for power systems},
journal = {Electric Power Systems Research},
year = {1992},
volume = {25},
number = {3},
pages = {169--176},
doi = {10.1016/0378-7796(92)90015-S}
}
@inproceedings{morBil05,
author = {Billger, D.},
title = {The Butterfly Gyro},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
volume = 45,
series = {Lecture Notes in Computational Science and Engineering},
pages = {349--352},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
doi = {10.1007/3-540-27909-1_18}
}
@article{morBinPS26,
author = {Bindhak, M. and Pelling, A.~J.~R. and Saak, J.},
title = {Toward an Efficient Shifted {C}holesky {QR} for Applications
in Model Order Reduction Using {pyMOR}},
journal = pamm,
year = 2026,
volume = 26,
number = 2,
pages = {e70143},
fauthor = {Bindhak, Maximilian and Pelling, Art~J.~R. and Saak, Jens},
doi = {10.1002/pamm.70143}
}
@phdthesis{morBlo08,
author = {F. Bl{\"{o}}meling},
title = {Multi-Level Substructuring Methods for Model Order Reduction},
school = {Technische Universit{\"{a}}t Hamburg-Harburg},
year = 2008,
type = {{Ph.D. Thesis}},
address = {Hamburg}
}
@techreport{morBoeNB10,
author = {C. Boess and N.~K. Nichols and A. Bunse-Gerstner},
title = {Model order reduction for discrete unstable control systems
using a balanced truncation approach},
institution = {University of Reading},
year = 2010,
type = {Preprint},
number = {MPS\_2010\_06},
note = {Available from
\url{https://www.reading.ac.uk/maths-and-stats/research/maths-preprints.aspx}}
}
@incollection{morBolE17,
author = {Bollh{\"{o}}fer, M. and Eppler, A.~K.},
title = {Low-Rank {C}holesky Factor {K}rylov Subspace Methods for
Generalized Projected {L}yapunov Equations},
booktitle = {System Reduction for Nanoscale {IC} Design},
publisher = {Springer},
year = 2017,
editor = {Benner, P.},
volume = 20,
series = {Mathematics in Industry},
pages = {157--193},
address = {Cham},
doi = {10.1007/978-3-319-07236-4_5}
}
@inproceedings{morBonD05,
author = {Bond, B. and Daniel, L.},
title = {Parameterized Model Order Reduction of Nonlinear Dynamical
Systems},
booktitle = {Proc. IEEE/ACM Conference on Computer-Aided Design,
ICCAD-2005},
year = 2005,
pages = {487--494},
month = nov,
doi = {10.1109/ICCAD.2005.1560117}
}
@inproceedings{morBonD08,
author = {Bond, B.~N. and Daniel, L.},
title = {Guaranteed stable projection-based model reduction for
indefinite and unstable linear systems},
booktitle = {2008 IEEE/ACM International Conference on Computer-Aided Design},
year = {2008},
doi = {10.1109/ICCAD.2008.4681657}
}
@article{morBonD09,
author = {B. Bond and L. Daniel},
title = {Stable reduced models for nonlinear descriptor systems through
piecewise-linear approximation and projection},
journal = ieeetranscadcs,
year = 2009,
volume = 28,
number = 10,
pages = {1467--1480}
}
@article{morBonFAetal15,
author = {Bonin, T. and Fa{\ss}bender, H. and Soppa, A. and Zaeh, M.},
title = {A fully adaptive rational global {A}rnoldi method for the
model-order reduction of second-order {MIMO} systems with
proportional damping},
journal = {Math. Comput. Simulat.},
year = 2015,
volume = 122,
doi = {10.1016/j.matcom.2015.08.017}
}
@inproceedings{morBonSSetal11,
author = {Bonin, T. and Soppa, A. and Saak, J. and Z{\"{a}}h, M. and
Fa{\ss}bender, H. and Benner, P.},
title = {Moderne {M}odellordnungsreduktionsverfahren f{\"{u}}r
{F}inite-{E}lemente-{M}odelle zur {S}imulation von
{W}erkzeugmaschinen},
booktitle = {Fachtagung MECHATRONIK 2011, Dresden},
year = 2011,
pages = {333--338}
}
@article{morBonZSetal09,
author = {T. Bonin and M. Z{\"{a}}h and A. Soppa and H. Fa{\ss}bender and
J. Saak and P. Benner},
title = {Modale versus moderne {O}rdnungsreduktionsverfahren:
{E}ffiziente {S}imulation von {W}erk\-zeug\-ma\-schi\-nen},
journal = {Mechatronik},
year = 2009,
volume = 117,
number = {11--12},
pages = {46--47},
month = nov,
note = {ISBN/ISSN: 1867-2590}
}
@inproceedings{morBorGZ16,
author = {Borggaard, J. and Gugercin, S. and Zietsman, L.},
title = {Feedback stabilization of fluids using reduced-order models
for control and compensator design},
booktitle = {2016 IEEE 55th Conference on Decision and Control (CDC)},
year = 2016,
pages = {7579--7585},
doi = {10.1109/CDC.2016.7799440}
}
@article{morBouH17,
author = {Bouvrie, J. and Hamzi, B.},
title = {Kernel Methods for the Approximation of Nonlinear Systems},
journal = {SIAM J. Control Optim.},
year = 2017,
volume = 55,
number = 4,
pages = {2460--2492},
doi = {10.1137/14096815X}
}
@article{morBoyBLetal10,
author = {Boyaval, S. and Le Bris, C. and Leli{\`{e}}vre, T. and Maday,
Y. and Nguyen, N.~C. and Patera, A.~T.},
title = {Reduced Basis Techniques for Stochastic Problems},
journal = archcompeng,
year = 2010,
volume = 17,
number = 4,
pages = {435--454},
issn = {1134-3060},
doi = {10.1007/s11831-010-9056-z},
publisher = {Springer Netherlands}
}
@article{morBraGAetal25,
author = {Bradde, T. and Grivet-Talocia, S. and Aumann, Q. and Gosea,
I.~V.},
title = {A modified {AAA} algorithm for learning stable reduced-order
models from data},
journal = jscicomput,
year = 2025,
volume = 103,
number = 14,
pages = {1--28},
publisher = {Springer},
doi = {10.1007/s10915-025-02825-0}
}
@inproceedings{morBraGG24,
author = {Bradde, T. and Gosea, I.~V. and Grivet-Talocia, S.},
title = {Fast macromodeling of large-scale multiports with guaranteed
stability},
booktitle = {2024 IEEE International Symposium on Electromagnetic
Compatibility, Signal \& Power Integrity (EMC+SIPI)},
year = 2024,
volume = {},
number = {},
pages = {472--477},
doi = {10.1109/EMCSIPI49824.2024.10705502}
}
@article{morBre04,
author = {C. Brezinski},
title = {Model reduction by state space projection},
journal = {Comm. Appl. Anal.},
year = 2004,
volume = 8,
number = 3,
pages = {323--333}
}
@mastersthesis{morBre09,
author = {T. Breiten},
title = {{K}rylov Subspace Methods for Model Order Reduction of
Bilinear Control Systems},
school = {Fach\-be\-reich Mathematik, Technische Universit{\"{a}}t
Kaiserslautern},
year = 2009,
type = {Diploma Thesis},
address = {Kaiserslautern},
month = nov
}
@phdthesis{morBre13,
author = {Breiten, T.},
title = {Interpolatory Methods for Model Reduction of Large-Scale
Dynamical Systems},
type = {{D}issertation},
school = ovgu,
address = {Magdeburg, Germany},
year = 2013,
doi = {10.25673/3917}
}
@article{morBre16,
author = {Breiten, T.},
title = {Structure-preserving model reduction for integro-differential
equations},
journal = siamcontrolopt,
year = 2016,
volume = 54,
number = 6,
pages = {2992--3015},
doi = {10.1137/15M1032296}
}
@inproceedings{morBreB10,
author = {Breiten, T. and Benner, P.},
title = {Nonlinear Model Order Reduction via Quadratic Bilinear
Differential Algebraic Equations},
booktitle = {Tagungsband GMA-FA 1.30, 'Modellbildung, Identifikation und
Simulation in der Automatisierungstechnik'},
year = 2010,
editor = {Lohmann, B. and Kugi, A.},
pages = {138--153},
address = {Salzburg, {\"{o}}sterreich},
isbn = {978-39502451-7-2}
}
@article{morBreBG15,
author = {Breiten, T. and Beattie, C. and Gugercin, S.},
title = {Near-optimal frequency-weighted interpolatory model reduction},
journal = scl,
year = 2015,
volume = 78,
pages = {8--18},
issn = {0167-6911},
doi = {10.1016/j.sysconle.2015.01.005}
}
@techreport{morBreBG19,
author = {T. Breiten and C.~A. Beattie and S. Gugercin},
title = {{$\mathcal{H}_2$}-gap model reduction for stabilizable and
detectable systems},
institution = {arXiv},
year = 2019,
type = {e-print},
number = {1909.13764},
note = {math.NA},
url = {https://arxiv.org/abs/1909.13764}
}
@inproceedings{morBreCI06,
author = {Brennan, C. and Condon, M. and Ivanov, R.},
title = {Model Order Reduction of Nonlinear Dynamical Systems},
booktitle = {Progress in Industrial Mathematics at ECMI 2004},
year = 2006,
volume = 8,
pages = {114--118},
doi = {10.1007/3-540-28073-1_11}
}
@article{morBreD10,
author = {T. Breiten and T. Damm},
title = {{K}rylov subspace methods for model order reduction of
bilinear control systems},
journal = scl,
year = 2010,
volume = 59,
number = 8,
pages = {443--450},
doi = {10.1016/j.sysconle.2010.06.003}
}
@inproceedings{morBreGFetal16,
author = {Bremer, J. and Goyal, P. and Feng, L. and Benner, P. and
Sundmacher, K.},
title = {Nonlinear model order reduction for catalytic tubular
reactors},
booktitle = {Proc. of the 26th European Symposium on Computer Aided Process
Engineering},
year = 2016,
pages = {2373--2378},
doi = {10.1016/B978-0-444-63428-3.50400-8}
}
@article{morBreGFetal17,
author = {Bremer, J. and Goyal, P. and Feng, L. and Benner, P. and
Sundmacher, K.},
title = {{POD-DEIM} for Efficient Reduction of a Dynamic 2D Catalytic
Reactor Model},
journal = {Computers \& Chemical Engineering},
year = 2017,
volume = {106},
pages = {777--784},
doi = {10.1016/j.compchemeng.2017.02.032}
}
@inproceedings{morBreHBetal21,
author = {Bremer, J. and Heiland, J. and Benner, P. and Sundmacher,
K.},
title = {Non-intrusive Time {G}alerkin {POD} for Optimal Control of a
Fixed-Bed Reactor for {CO2} Methanation},
booktitle = {11th International Symposium on Advanced Control of Chemical Processes (ADCHEM)},
series = {IFAC-PapersOnLine},
volume = {54},
pages = {122--127},
year = {2021},
doi = {10.1016/j.ifacol.2021.08.229}
}
@article{morBreU22,
author = {Breiten, T. and Unger, B.},
title = {Passivity preserving model reduction via spectral
factorization},
journal = automatica,
year = 2022,
volume = 142,
pages = {Paper No. 110368, 12},
issn = {0005-1098},
doi = {10.1016/j.automatica.2022.110368}
}
@phdthesis{morBru15,
author = {Bruns, A.},
title = {Bilinear {$\mathcal{H}_2$}-optimal Model Order Reduction with
Applications to Thermal Parametric Systems},
type = {{D}issertation},
school = ovgu,
address = {Magdeburg, Germany},
year = 2015
}
@article{morBruB15,
author = {Bruns, A. and Benner, P.},
title = {Parametric model order reduction of thermal models using the
bilinear interpolatory rational {K}rylov algorithm},
journal = mcmds,
year = 2015,
volume = 21,
number = 2,
pages = {103--129},
issn = {1387-3954},
doi = {10.1080/13873954.2014.924534}
}
@article{morBruCT02,
author = {Bru, R. and Coll, C. and Thome, N.},
title = {Symmetric Singular Linear Control Systems},
journal = {Applied Mathematics Letters},
year = 2002,
volume = 15,
number = 6,
pages = {671--675},
doi = {10.1016/S0893-9659(02)00026-5}
}
@article{morBruJOetal16,
author = {Brunton, B.~W. and Johnson, L.~A. and Ojemann, J.~G. and
Kutz, J.~N.},
title = {Extracting spatial-temporal coherent patterns in large-scale
neural recordings using dynamic mode decomposition},
journal = {Journal of Neuroscience Methods},
year = 2016,
volume = 258,
pages = {1--15},
doi = {10.1016/j.jneumeth.2015.10.010}
}
@article{morBucBH19,
author = {Buchfink, P. and Bhatt, A. and Haasdonk, B.},
title = {Symplectic Model Order Reduction with Non-Orthonormal Bases},
journal = {Math. Comput. Appl.},
year = 2019,
volume = 24,
number = 2,
pages = 43,
doi = {10.3390/mca24020043}
}
@inproceedings{morBuiW05,
author = {Bui-Thanh, T. and Willcox, K.},
title = {Model Reduction for Large-Scale {CFD} Applications Using
Balanced Proper Orthogonal Decomposition},
booktitle = {17th AIAA Computational Fluid Dynamics Conference},
year = 2005,
pages = {1--15},
doi = {10.2514/6.2005-4617}
}
@article{morBuiWG08,
author = {Bui-Thanh, T. and Willcox, K. and Ghattas, O.},
title = {Model Reduction for Large-Scale Systems with High-Dimensional
Parametric Input Space},
journal = siamscicomp,
year = 2008,
volume = 30,
pages = {3270--3288},
publisher = {SIAM}
}
@article{morBuiWGetal07,
author = {Bui-Thanh, T. and Willcox, K. and Ghattas, O. and van Bloemen
Waanders, B.},
title = {Goal-oriented, model-constrained optimization for reduction of
large-scale systems},
journal = jcomputphys,
year = 2007,
volume = 224,
number = 2,
pages = {880--896},
publisher = {Elsevier}
}
@article{morBulB86,
author = {Bultheel, A. and Van~Barel, M.},
title = {{P}ad{\'e} techniques for model reduction in linear system
theory: a survey},
journal = compapplmath,
year = 1986,
volume = 14,
number = 3,
pages = {401--438},
doi = {10.1016/0377-0427(86)90076-2}
}
@article{morBunKVetal10,
author = {A. Bunse-Gerstner and D. Kubalinska and G. Vossen and
D. Wilczek},
title = {$h_2$-norm optimal model reduction for large scale discrete
dynamical {MIMO} systems},
journal = compapplmath,
year = 2010,
volume = 233,
number = 5,
pages = {1202--1216},
doi = {10.1016/j.cam.2008.12.029}
}
@article{morBurHSetal15,
author = {Burkovska, O. and Haasdonk, B. and Salomon, J. and Wohlmuth,
B.},
title = {Reduced basis methods for pricing options with the
{B}lack-{S}choles and {H}eston model},
journal = {{SIAM} J. Financ. Math.},
year = 2015,
volume = 6,
number = 1,
pages = {685--712},
doi = {10.1137/140981216}
}
@article{morCanZ99,
author = {Cangellaris, A.~C. and Zhao, L.},
title = {Rapid {FDTD} simulation without time stepping},
journal = ieeemicrow,
year = 1999,
volume = 9,
number = 1,
pages = {4--6}
}
@article{morCaoBPetal20,
author = {Cao, X. and Benner, P. and Pontes Duff, I. and Schilders, W.},
title = {Model order reduction for bilinear control systems with
inhomogeneous initial conditions},
journal = intcontrol,
volume = {},
pages = {},
year = 2020,
doi = {10.1080/00207179.2020.1740945}
}
@inproceedings{morCaoSW15,
author = {Cao, X. and Saltik, M.~B. and Weiland, S.},
title = {Hankel Model Reduction for Descriptor Systems},
booktitle = {2015 54th {IEEE} Conference on Decision and Control (CDC)},
year = 2015,
pages = {4668--4673},
month = dec,
doi = {10.1109/CDC.2015.7402947}
}
@article{morCarGG25,
author = {Carlucci, A. and Gosea, I.~V. and Grivet-Talocia, S.},
title = {Data-Driven Modeling of Weakly Nonlinear Circuits via Generalized Transfer Function Approximation},
journal = {IEEE Access},
year = 2025,
volume = 13,
pages = {2746--2762},
doi = {10.1109/ACCESS.2024.3520388}
}
@incollection{morCarGG25a,
author = {Carlucci, A. and Gosea, I.~V. and Grivet-Talocia, S.},
title = {Approximation of generalized frequency response functions via
{V}ector {F}itting},
booktitle = {Mathematical Optimization for Machine Learning: Proceedings of
the {MATH}+ Thematic {E}instein Semester 2023},
publisher = {De Gruyter},
year = 2025,
pages = {169--180},
doi = {10.1515/9783111376776-011}
}
@article{morCarGG25b,
author = {Carlucci, A. and Gosea, I.~V. and Grivet-Talocia, S.},
title = {On the Generation of {SPICE}-Compatible Nonlinear Behavioral
Macromodels},
journal = ieeetranscpmt,
year = 2025,
volume = 15,
number = 9,
pages = {1857--1867},
doi = {10.1109/TCPMT.2025.3597771}
}
@inproceedings{morCarGG25c,
author = {Carlucci, A. and Gosea, I.~V. and Grivet-Talocia, S.},
title = {An Extension of Vector Fitting to Weakly Nonlinear Circuits},
booktitle = {{IEEE} 29th Workshop on Signal and Power Integrity ({SPI}),
Gaeta, Italy, May 11--14},
year = 2025,
pages = {1--4},
doi = {10.1109/SPI64682.2025.11014338}
}
@article{morCarRV15,
author = {Carlberg, K. and Ray, J. and van Bloemen Waanders, B.},
title = {Decreasing the temporal complexity for nonlinear, implicit
reduced-order models by forecasting},
journal = compmethappmecheng,
year = 2015,
volume = 289,
pages = {79--103},
doi = {10.1016/j.cma.2015.02.013}
}
@article{morCasCJetal17,
author = {Castagnotto, A. and Cruz Varona, M. and Jeschek, L. and
Lohmann, B.},
title = {{sss} \& {sssMOR}: Analysis and Reduction of Large-Scale
Dynamic Systems in {MATLAB}},
journal = atautom,
year = 2017,
volume = 65,
number = 2,
pages = {134--150},
doi = {10.1515/auto-2016-0137}
}
@article{morCasLE12,
author = {R. Casta{\~n}{\'e}-Selga and B. Lohmann and R. Eid},
title = {Stability Preservation in Projection-based Model Order
Reduction of Large-Scale Systems},
journal = europjcon,
year = 2012,
volume = 18,
number = 2,
pages = {122--132}
}
@inproceedings{morCasPL17,
author = {Castagnotto, A. and Panzer, H.~K.~F. and Lohmann B.},
title = {Fast $\mathcal{H}_2$-Optimal Model Order Reduction Exploiting
the Local Nature of {K}rylov-Subspace Methods},
booktitle = {European Control Conference 2016},
year = 2016,
pages = {1958--1963},
address = {Aalborg, Denmark},
doi = {10.1109/ECC.2016.7810578}
}
@article{morCelGKetal03,
author = {Celo, D. and Gunupudi, P.~K. and Khazaka, R. and Walkey,
D.~J. and Smy, T. and Nakhla, M.~S.},
title = {Fast Simulation of steady-state temperature distributions in
electronic components using multidimensional model reduction},
journal = {IEEE Trans. Compon. Packag. Technol.},
year = 2005,
volume = 28,
number = 1,
pages = {70--79},
month = mar,
doi = {10.1109/TCAPT.2004.838877},
issn = {1521-3331}
}
@article{morChaBG16,
author = {Chaturantabut, S. and Beattie, C. and Gugercin, S.},
title = {Structure-Preserving Model Reduction for Nonlinear
Port-{H}amiltonian Systems},
journal = siamscicomp,
year = 2016,
volume = 38,
number = 5,
pages = {B837--B865},
doi = {10.1137/15M1055085}
}
@inproceedings{morChaGVetal05,
author = {Chahlaoui, V. and Gallivan, K.~A. and Vandendorpe, A. and {Van
Dooren}, P.},
title = {Model Reduction of Second-Order Systems},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {Benner, P. and Mehrmann, V. and Sorensen, D.~C.},
volume = 45,
series = lncse,
pages = {149--172},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
doi = {10.1007/3-540-27909-1_6}
}
@article{morChaLVetal06,
author = {Chahlaoui, Y. and Lemonnier, D. and Vandendorpe, A. and
Van~Dooren, P.},
title = {Second-order balanced truncation},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {373--384},
doi = {10.1016/j.laa.2004.03.032}
}
@inproceedings{morChaM11,
author = {Chapman, A. and Mesbahi, M.},
title = {{UAV} flocking with wind gusts: Adaptive topology and model
reduction},
booktitle = {Proceedings of the American Control Conference},
year = 2011,
pages = {1045--1050},
month = jun,
issn = {0743-1619},
doi = {10.1109/ACC.2011.5990799}
}
@article{morChaP05,
author = {Chaniotis, D. and Pai, M.~A.},
title = {Model reduction in power systems using {K}rylov subspace
methods},
journal = {IEEE Transactions on Power Systems},
year = {2005},
volume = {20},
number = {2},
pages = {888--894},
doi = {10.1109/TPWRS.2005.846109}
}
@article{morChaS10,
author = {S. Chaturantabut and D.~C. Sorensen},
title = {Nonlinear model reduction via discrete empirical
interpolation},
journal = siamscicomp,
year = 2010,
volume = 32,
number = 5,
pages = {2737--2764},
doi = {10.1137/090766498}
}
@techreport{morChaV02,
author = {Y. Chahlaoui and Van~Dooren, P.},
title = {A collection of benchmark examples for model reduction of
linear time invariant dynamical systems},
institution = {SLICOT Working Note},
year = 2002,
number = {2002--2},
note = {Available from \url{www.slicot.org}}
}
@phdthesis{morChe22,
author = {Chellappa, S.},
title = {A posteriori Error Estimation and Adaptivity for Model Order
Reduction of Large-Scale Systems},
school = ovgu,
year = 2022,
type = {{D}issertation},
address = {Madgeburg, Germany},
doi = {10.25673/101396}
}
@mastersthesis{morChe99,
author = {Y. Chen},
title = {Model order reduction for nonlinear systems},
school = {Massachusetts Institute of Technology},
year = 1999,
type = {Master's thesis},
address = {Cambrigde, Massachusetts}
}
@article{morCheCFetal23,
author = {Chellappa, S. and Cans{\i}z, B. and Feng, L. and Benner,
P. and Kaliske, M.},
title = {Fast and reliable reduced-order models for cardiac
electrophysiology},
journal = gammmit,
year = 2023,
volume = 46,
pages = {e202370014},
doi = {10.1002/gamm.202370014}
}
@article{morCheFB20a,
author = {Chellappa, S. and Feng, L. and Benner, P.},
title = {Adaptive Basis Construction and Improved Error Estimation for
Parametric Nonlinear Dynamical Systems},
journal = intnumereng,
year = 2020,
volume = 121,
number = 23,
pages = {5320--5349},
note = {Special Issue: {C}redible {H}igh-{F}idelity and {L}ow {C}ost
{S}imulations in {C}omputational {E}ngineering, Guest Eds.:
Giacomini, M. and Veroy, K. and D{\'{\i}} ez, P.},
doi = {10.1002/nme.6462}
}
@article{morCheFB21,
author = {Chellappa, S. and Feng, L. and Benner, P.},
title = {A Training Set Subsampling Strategy for the Reduced Basis
Method},
journal = jscicomput,
year = 2021,
volume = 89,
number = 63,
pages = {1--34},
note = {Topical collection dedicated to the {ICERM} Spring 2020
semester program on model order reduction.},
doi = {10.1007/s10915-021-01665-y}
}
@incollection{morCheFB22,
author = {Chellappa, S. and Feng, L. and Benner, P.},
title = {An Adaptive Sampling Approach for the Reduced Basis Method},
booktitle = {Realization and Model Reduction of Dynamical Systems - A
Festschrift in Honor of the 70th Birthday of {T}hanos
{A}ntoulas},
publisher = {Springer, Cham},
year = 2022,
pages = {137--155},
editors = {Beattie, C. and Benner, P. and Embree, M. and Gugercin, S. and
Lefteriu, S.},
doi = {10.1007/978-3-030-95157-3_8}
}
@article{morCheFB24,
author = {Chellappa, S. and Feng, L. and Benner, P.},
title = {Accurate Error Estimation for Model Reduction of Nonlinear
Dynamical Systems via Data-enhanced Error Closure},
journal = cmame,
year = 2024,
volume = 420,
pages = {Paper No. 116712, 29},
doi = {10.1016/j.cma.2023.116712}
}
@techreport{morCheFB24a,
author = {Chellappa, S. and Feng, L. and Benner, P.},
title = {Discrete empirical interpolation in the tensor t-product
framework},
institution = {arXiv},
year = 2024,
type = {e-prints},
number = {2410.14519},
note = {math.NA},
doi = {10.48550/arXiv.2410.14519}
}
@article{morCheFdeetal23,
author = {Chellappa, S. and Feng, L. and de la Rubia, V. and Benner, P.},
title = {Inf-Sup-Constant-Free State Error Estimator for Model Order
Reduction of Parametric Systems in Electromagnetics},
journal = ieeetransmtt,
year = 2023,
volume = 71,
number = 11,
pages = {4762-4777},
doi = {10.1109/TMTT.2023.3288642}
}
@incollection{morCheFdetal21a,
author = {Chellappa, S. and Feng, L. and de la Rubia, V. and Benner, P.},
title = {Adaptive Interpolatory {MOR} by Learning the Error Estimator
in the Parameter Domain},
booktitle = {Model Reduction of Complex Dynamical Systems},
publisher = {Birkh{\"{a}}user, Cham},
year = 2021,
volume = 171,
series = {International Series of Numerical Mathematics},
pages = {97--117},
editors = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
doi = {10.1007/978-3-030-72983-7_5}
}
@techreport{morCheGB20,
author = {Cherifi, K. and Goyal, P. and Benner, P.},
title = {A Non-Intrusive Method to Inferring Linear Port-{H}amiltonian
Realizations using Time-Domain Data},
institution = {arXiv},
year = 2020,
type = {e-prints},
number = {2005.09371},
note = {math.NA},
url = {https://arxiv.org/abs/2005.09371}
}
@article{morCheGB22,
author = {Cherifi, K. and Goyal, P. and Benner, P.},
title = {A Greedy Data Collection Scheme For Linear Dynamical Systems},
journal = {Data-Centric Engineering},
year = 2022,
volume = 3,
pages = {e16},
publisher = {Cambridge University Press},
doi = {10.1017/dce.2022.16}
}
@inproceedings{morCheKS16,
author = {Cheng, X. and Kawano, Y. and Scherpen, J.~M.~A.},
title = {Graph structure-preserving model reduction of linear network
systems},
booktitle = {European Control Conference (ECC)},
year = 2016,
pages = {1970--1975},
doi = {10.1109/ECC.2016.7810580}
}
@article{morCheKS17,
author = {Cheng, X. and Kawano, Y. and Scherpen, J.~M.~A.},
title = {Reduction of Second-Order Network Systems With Structure
Preservation},
journal = ieeetransac,
year = 2017,
volume = 62,
number = 10,
pages = {5026--5038},
doi = {10.1109/TAC.2017.2679479}
}
@article{morCheKS18,
author = {Cheng, X. and Kawano, Y. and Scherpen, J.~M.~A.},
title = {Model Reduction of Multi-Agent Systems Using
Dissimilarity-Based Clustering},
journal = ieeetransac,
year = 2018,
doi = {10.1109/TAC.2018.2853578}
}
@article{morCheM91,
author = {Cherid, A. and Bettayeb, M.},
title = {Reduced-order models for the dynamics of a single-machine
power system via balancing},
journal = {Electric Power Systems Research},
year = {1991},
volume = {22},
number = {1},
pages = {7--12},
doi = {10.1016/0378-7796(91)90073-V}
}
@inproceedings{morCheS16,
author = {Cheng, X. and Scherpen, J.~M.~A.},
title = {Introducing network Gramians to undirected network systems for
structure-preserving model reduction},
booktitle = {2016 IEEE 55th Conference on Decision and Control},
year = 2016,
pages = {5756--5761},
doi = {10.1109/CDC.2016.7799154}
}
@article{morCheS18,
author = {Cheng, X. and Scherpen, J.~M.~A.},
title = {Clustering approach to model order reduction of power networks
with distributed controllers},
journal = {Advances in Computational Mathematics},
year = 2018,
volume = 44,
number = 6,
pages = {1917--1939},
doi = {10.1007/s10444-018-9617-5}
}
@inproceedings{morCheSK16,
author = {Cheng, X. and Scherpen, J.~M.~A. and Kawano, Y.},
title = {Model reduction of second-order network systems using graph
clustering},
booktitle = {2016 IEEE 55th Conference on Decision and Control (CDC)},
year = 2016,
pages = {7471--7476},
doi = {10.1109/CDC.2016.7799423}
}
@article{morCheTR12,
author = {Chen, K.~K. and Tu, J.~H. and Rowley, R.~W.},
title = {Variants of Dynamic Mode Decomposition: Boundary Condition,
{K}oopman, and {F}ourier Analyses},
journal = {Nonlinear Science},
year = 2012,
volume = 22,
number = 6,
pages = {887--915},
doi = {10.1007/s00332-012-9130-9}
}
@incollection{morChiHRetal17,
author = {Chinesta, F. and Huerta, A. and Rozza, G. and Willcox, K.},
title = {Model Reduction Methods},
booktitle = {Encyclopedia of Computational Mechanics},
publisher = wileysons,
year = 2017,
volume = 1,
pages = {1--36},
edition = {2.},
doi = {10.1002/9781119176817.ecm2110}
}
@book{morChiKL14,
author = {Chinesta, F. and Keunings, R. and Leygue, A.},
title = {The Proper Generalized Decomposition for Advanced Numerical
Simulations},
publisher = {Springer International Publishing},
year = 2014,
series = {SpringerBriefs in Applied Sciences and Technology},
note = {ISBN: 978-3-319-02864-4}
}
@article{morChiN95,
author = {E. Chiprout and M.~S. Nakhla},
title = {Analysis of interconnect networks using complex frequency
hopping ({CFH})},
journal = ieeetranscadcs,
year = 1995,
volume = 14,
number = 2,
pages = {186--200}
}
@book{morCho13,
title = {Power system coherency and model reduction},
publisher = {Springer},
year = {2013},
editor = {Chow, J.~H.},
series = {Power Electronics and Power Systems},
volume = {94},
doi = {10.1007/978-1-4614-1803-0}
}
@inproceedings{morChoS17,
author = {Choroszucha, R.~B. and Sun, J.},
title = {Empirical {R}iccati covariance matrices for closed-loop model
order reduction of nonlinear systems by balanced truncation},
booktitle = {Proceedings of the American Control Conference},
year = 2017,
pages = {3476--3482},
doi = {10.23919/ACC.2017.7963484}
}
@inproceedings{morChoSB16,
author = {Choroszucha, R.~B. and Sun, J. and Butts, K.},
title = {Nonlinear Model Order Reduction for Predictive Control of the
Diesel Engine Airpath},
booktitle = {Proceedings of the American Control Conference},
year = 2016,
pages = {5081--5086},
address = {Bosten, MA, USA},
publisher = {IEEE},
doi = {10.1109/ACC.2016.7526159}
}
@article{morChoWPetal90,
author = {Chow, J.~H. and Winkelman, J.~R. and Pai, M.~A. and Sauer,
P.~W.},
title = {Singular perturbation analysis of large-scale power systems},
journal = {International Journal of Electrical Power \& Energy Systems},
year = {1990},
volume = {12},
number = {2},
doi = {10.1016/0142-0615(90)90007-X}
}
@article{morChuG99,
author = {Chu, Y.-C. and Glover, K.},
title = {Bounds of the Induced Norm and Model Reduction Errors for
Systems with Repeated Scalar Nonlinearities},
journal = ieeetransac,
year = 1999,
volume = 44,
number = 3,
pages = {471--483},
doi = {10.1109/9.751342}
}
@article{morChuLF06,
author = {C.~C. Chu and M.~H. Lai and W.~S. Feng},
title = {{MIMO} interconnects order reductions by using the multiple
point adaptive-order rational global {A}rnoldi algorithm},
journal = {IEICE Transactions on Electronics},
year = 2006,
volume = {E89-C},
number = 6,
pages = {792--802}
}
@article{morChuLF08,
author = {C.~C. Chu and M.~H. Lai and W.~S. Feng},
title = {Model-order reductions for {MIMO} systems using global
{K}rylov subspace methods},
journal = {Math. Comput. Simulation},
year = 2008,
volume = 79,
number = 4,
pages = {1153--1164},
issn = {0378-4754},
doi = {10.1016/j.matcom.2007.09.007}
}
@article{morCod05,
author = {L. Codecasa},
title = {A novel approach for generating boundary condition independent
compact dynamic thermal networks of packages},
journal = ieeecapt,
year = 2005,
volume = 28,
number = 4,
pages = {593--604},
month = dec
}
@article{morColYHetal96,
author = {E.~G. Collins and S.~S. Ying and W.~S. Haddad and S. Richter},
title = {An efficient numerically robust homotopy algorithm for $H_2$
model reduction using the optimal projection equations},
journal = {Mathematical Modelling of Systems},
year = 1996,
volume = 2,
number = 2,
pages = {101--133}
}
@article{morCon07,
author = {Condon, M.},
title = {Model reduction of nonlinear systems},
journal = pamm,
year = 2007,
volume = 7,
number = 1,
pages = {2130011--2130012},
doi = {10.1002/pamm.200701084}
}
@book{morCon15,
author = {Constantine, P.},
title = {Active Subspaces: Emerging Ideas for Dimension Reduction in
Parameter Studies},
publisher = {SIAM},
year = 2015,
series = {SIAM Spotlights},
doi = {10.1137/1.9781611973860}
}
@inproceedings{morConGI08,
author = {Condon, M. and Grahovski, G. and Ivanov, R.},
title = {Balanced Truncation of Perturbative Representations of
Nonlinear Systems},
booktitle = {Proc. 21st EUROPEAN Conference on Modelling and Simulation
ECMS 2007, Prague, Czech Republic},
year = 2008,
url = {http://doras.dcu.ie/2440/1/paper10.pdf}
}
@article{morConI04,
author = {Condon, M. and Ivanov, R.},
title = {Empirical Balanced Truncation of Nonlinear Systems},
journal = {J. Nonlinear Sci.},
year = 2004,
volume = 14,
number = 5,
pages = {405--414},
doi = {10.1007/s00332-004-0617-5}
}
@article{morConI04a,
author = {Condon, M. and Ivanov, R.},
title = {Model reduction of nonlinear systems},
journal = {Compel-Int. J. Comp. Math. Electr. Electron. Eng.},
year = 2004,
volume = 23,
number = 2,
pages = {547--557},
doi = {10.1108/03321640410510730}
}
@article{morConI07,
author = {Condon, M. and Ivanov, R.},
title = {Krylov subspaces from bilinear representations of nonlinear
systems},
journal = {Compel-Int. J. Comp. Math. Electr. Electron. Eng.},
year = 2007,
volume = 26,
number = 2,
pages = {399--406},
doi = {10.1108/03321640710727755}
}
@phdthesis{morCru20,
author = {Cruz Varona, Maria},
title = {Model Reduction of Nonlinear Dynamical Systems by
System-Theoretic Methods},
school = tum,
year = 2020,
type = {Dissertation},
address = {M{\"{u}}nchen}
}
@article{morDaeGS02,
author = {Daems, W. and Gielen, G. and Sansen, W.},
title = {Circuit simplification for the symbolic analysis of analog
integrated circuits},
journal = ieeetranscadcs,
year = 2002,
volume = 21,
number = 4,
pages = {395--407}
}
@inproceedings{morDanP02,
author = {Daniel, L. and Phillips, J.},
title = {Model Order Reduction for Strictly Passive and Causal
Distributed Systems},
booktitle = {Proc. 39rd ACM IEEE Design Automation Conference},
year = 2002,
month = jun
}
@article{morDanSCetal04,
author = {Daniel, L. and Siong, O.~C. and Chay, L.~S. and Lee, K.~H. and
White, J.},
title = {A multiparameter moment-matching model-reduction approach for
generating geometrically parameterized interconnect
performance models},
journal = ieeetranscadcs,
year = 2004,
volume = 23,
number = 5,
pages = {678--693},
month = may,
url = {http://www.gigascale.org/pubs/510.html}
}
@techreport{morDasH23,
author = {Das, A. and Heiland, J.},
title = {Low-order Linear Parameter Varying Approximations for
Nonlinear Controller Design for Flows},
institution = {arXiv},
year = 2023,
number = {2311.05305},
note = {math.OC},
doi = {10.48550/arXiv.2311.05305}
}
@phdthesis{morDav10,
author = {Davoudi, A.},
title = {Reduced-order modeling of power electronics components and
systems},
school = {University of Illinois at Urbana-Champaign},
year = 2010,
url = {http://hdl.handle.net/2142/16097}
}
@article{morDav66,
author = {Davison, E.~J.},
title = {A method for simplifying linear dynamic systems},
journal = ieeetransac,
year = 1966,
volume = {AC--11},
pages = {93--101},
doi = {10.1109/TAC.1966.1098264}
}
@article{morDav86,
author = {Davidson, A.},
title = {Balanced Systems and Model Reduction},
journal = {Electron. Lett.},
year = 1986,
volume = 22,
number = 10,
pages = {531--532},
doi = {10.1049/el:19860362}
}
@article{morDavP15,
author = {Daversin, C. and Prud'homme, C.},
title = {Simultaneous empirical interpolation and reduced basis method
for non-linear problems},
journal = cracadsciparis,
year = 2015,
volume = 353,
number = 12,
pages = {1105--1109},
doi = {10.1016/j.crma.2015.08.003}
}
@article{morDeaF86,
author = {De Abreu-Garcia, J.~A. and Fairman, F.~W.},
title = {A Note on Cross Grammians for Orthogonally Symmetric
Realizations},
journal = ieeetransac,
year = 1986,
volume = 31,
number = 9,
pages = {866--868},
doi = {10.1109/TAC.1986.1104421}
}
@phdthesis{morDen19,
author = {Deni{\ss}en, J.},
title = {On Vibrational Analysis and Reduction for Damped Linear
Systems},
school = ovgu,
year = 2019,
type = {{Dissertation}},
address = {Magdeburg, Germany},
doi = {10.25673/14231}
}
@inproceedings{morDesP82,
author = {Desai, U.~B. and Pal, D.},
title = {A realization approach to stochastic model reduction and
balanced stochastic realizations},
booktitle = {21st IEEE Conference on Decision and Control},
year = 1982,
pages = {1105--1112},
doi = {10.1109/CDC.1982.268322}
}
@article{morDesP84,
author = {U.~B. Desai and D. Pal},
title = {A transformation approach to stochastic model reduction},
journal = ieeetransac,
year = 1984,
volume = 29,
number = 12,
pages = {1097--1100},
doi = {10.1109/TAC.1984.1103438}
}
@article{morDiaHGetal24,
author = {Diaz, A. and Heinkenschloss, M. and Gosea, I.~V. and Antoulas,
A.~C.},
title = {Interpolatory model reduction of quadratic-bilinear dynamical
systems with quadratic-bilinear outputs},
journal = advcomputmath,
year = 2023,
volume = 49,
pages = 95,
doi = {10.1007/s10444-023-10096-2}
}
@article{morDimSN17,
author = {Dimitriu, G. and {\c{S}}tef{\u{a}}nescu, R. and Navon, I.~M.},
title = {Comparative numerical analysis using reduced-order modeling
strategies for nonlinear large-scale systems},
journal = {Journal of Computational and Applied Mathematics},
year = 2017,
volume = 310,
pages = {32--42},
doi = {10.1016/j.cam.2016.07.002}
}
@inproceedings{morDonR03,
author = {N. Dong and J. Roychowdhury},
title = {Piecewise polynomial nonlinear model reduction},
booktitle = dac,
year = 2003,
pages = {484--489},
location = {Anaheim, CA, USA}
}
@inproceedings{morDonR04,
author = {N. Dong and J. Roychowdhury},
title = {Automated extraction of broadly applicable nonlinear analog
macromodels from {SPICE}-level descriptions},
booktitle = {Proc. {IEEE} Custom Integrated Circuits Conference, 2004},
year = 2004,
pages = {117--120}
}
@article{morDonSP11,
author = {Dones, I. and Skogestad, S. and Preisig, H.~A.},
title = {Application of Balanced Truncation to Nonlinear Systems},
journal = {Ind. Eng. Chem. Res.},
year = 2011,
volume = 50,
number = 17,
pages = {10093--10101},
doi = {10.1021/ie200706d}
}
@techreport{morDorRV20,
author = {Dorschky, I. and Reis, T. and Voigt, M.},
title = {Balanced truncation model reduction for symmetric second order
systems -- {A} passivity-based approach},
institution = {arXiv},
type = {e-print},
number = {2006.09170},
note = {math.NA},
year = {2020},
url = {https://arxiv.org/abs/2006.09170}
}
@article{morDowT03,
author = {Dowell, E.~H. and Tang, D.},
title = {Multiscale, multiphenomena modeling and simulation at the
nanoscale: {O}n constructing reduced-order models for
nonlinear dynamical systems with many degrees-of-freedom},
journal = japplmech,
year = 2003,
volume = 70,
number = 3,
pages = {328--338},
doi = {10.1115/1.1558079},
publisher = {American Society of Mechanical Engineers}
}
@phdthesis{morDre05,
author = {Dreyer, A.},
title = {Interval Analysis of Analog Circuits with Component
Tolerances},
school = {Technische Universit{\"{a}}t Kaiserslautern},
year = 2005,
type = {{Ph.D. Thesis}},
address = {Kaiserslautern}
}
@article{morDrmG16,
author = {Drma{\v{c}}, Z. and Gugercin, S.},
title = {A New Selection Operator for the Discrete Empirical
Interpolation Method---Improved A Priori Error Bound and
Extensions},
journal = siamscicomp,
volume = {38},
number = {2},
pages = {A631--A648},
year = {2016},
doi = {10.1137/15M1019271}
}
@article{morDrmGB15,
author = {Drma{\v{c}}, Z. and Gugercin, S. and Beattie, C.},
title = {Quadrature-Based Vector Fitting for Discretized
$\mathcal{H}_{2}$ Approximation},
journal = siamscicomp,
year = 2015,
volume = 37,
number = 2,
pages = {A625--A652},
doi = {10.1137/140961511}
}
@article{morDrmGB15a,
author = {Drma{\v{c}}, Z. and Gugercin, S. and Beattie, C.},
title = {Vector Fitting for Matrix-valued Rational Approximation},
journal = siamscicomp,
year = 2015,
volume = 37,
number = 5,
pages = {A2346--A2379},
doi = {10.1137/15M1010774}
}
@article{morDroHO12,
author = {Drohmann, M. and Haasdonk, B. and Ohlberger, M.},
title = {Reduced Basis Approximation for Nonlinear Parametrized
Evolution Equations based on Empirical Operator Interpolation},
journal = siamscicomp,
year = 2012,
volume = 34,
number = 2,
pages = {A937--A969},
doi = {10.1137/10081157X}
}
@article{morDruS11,
author = {V. Druskin and V. Simoncini},
title = {Adaptive rational {K}rylov subspaces for large-scale dynamical
systems},
journal = scl,
year = 2011,
volume = 60,
number = 8,
pages = {546--560},
doi = {10.1016/j.sysconle.2011.04.013}
}
@article{morDruSZ14,
author = {Druskin, V. and Simoncini, V. and Zaslavsky, M.},
title = {Adaptive Tangential Interpolation in Rational {K}rylov
Subspaces for {MIMO} Dynamical Systems},
journal = siammatrix,
year = 2014,
volume = 35,
number = 2,
pages = {476--498},
doi = {10.1137/120898784}
}
@inproceedings{morDuP17,
author = {Du, X. and Benner, P.},
title = {Parameterized frequency-dependent balanced truncation for
model order reduction of linear systems},
booktitle = {2017 29th Chinese Control And Decision Conference (CCDC)},
year = 2017,
pages = {901--908},
month = may,
doi = {10.1109/CCDC.2017.7978648}
}
@article{morDukS12,
author = {Duki{\'{c}}, S.~D. and Sari{\'{c}}, A.~T.},
title = {Dynamic model reduction: {A}n overview of available techniques
with application to power systems},
journal = {Serbian Journal of Electrical Engineering},
year = {2012},
volume = {9},
number = {2},
pages = {131--169},
doi = {10.2298/SJEE1202131D}
}
@conference{morDycFHetal07,
author = {Dyczij-Edlinger, R. and Farle, O. and Hill, V. and
Ingelstr{\"{o}}m, P.},
title = {Multi-level and parametric Finite Element Techniques
for Time-Harmonic Fields},
booktitle = {EMB 07, Lund University},
year = {2007},
pages = {185--192}
}
@article{morEbe10,
author = {F. Ebert},
title = {A note on {POD} model reduction methods for {DAE}s},
journal = mcmds,
year = 2010,
volume = 16,
number = 2,
pages = {115--131}
}
@article{morEftKP11,
author = {J.~L. Eftang and D.~J. Knezevic and A.~T. Patera},
title = {An hp Certified Reduced Basis Method for Parametrized
Parabolic Partial Differential Equations},
journal = mcmds,
year = 2011,
volume = 17,
number = 4,
pages = {395--422}
}
@article{morEggKLetal18,
author = {Egger, H. and Kugler, T. and Liljegren-Sailer, B. and
Marheineke, M. and Mehrmann, V.},
title = {On Structure-Preserving Model Reduction for Damped Wave
Propagation in Transport Networks},
journal = siamscicomp,
year = 2018,
volume = 40,
number = 1,
pages = {A331--A365},
doi = {10.1137/17M1125303}
}
@phdthesis{morEid09,
author = {Eid, R.},
title = {Time domain model reduction by moment matching},
school = tum,
year = 2009,
type = {{D}issertation},
address = {Munich, Germany}
}
@article{morEidSL07,
author = {Eid, R. and Salimbahrami, B. and Lohmann, B.},
title = {Equivalence of {L}aguerre-based model order reduction and
moment matching},
journal = ieeetransac,
year = 2007,
volume = 52,
number = 6,
pages = {1104--1108},
coden = {IETAA9},
fjournal = {Institute of Electrical and Electronics
Engineers. Transactions on Automatic Control},
issn = {0018-9286}
}
@article{morEidSLetal07,
author = {Eid, R. and Salimbahrami, B. and Lohmann, B. and Rudnyi,
E.~B. and Korvink, J.~G.},
title = {Parametric Order Reduction of Proportionally Damped
Second-Order Systems},
journal = {Sensors and Materials, Tokyo},
year = 2007,
volume = 19,
number = 3,
pages = {149--164}
}
@inproceedings{morEnn84,
author = {Enns, D.~F.},
title = {{M}odel reduction with balanced realizations: {A}n error bound
and a frequency weighted generalization},
booktitle = {Proc. 23rd {IEEE} Conf. Decision Contr.},
year = 1984,
volume = 23,
pages = {127--132},
doi = {10.1109/CDC.1984.272286}
}
@phdthesis{morEnn85,
author = {Enns, D.~F.},
title = {Model Reduction for Control System Design},
school = {Stanford University},
year = 1985,
month = mar,
url = {https://ntrs.nasa.gov/search.jsp?R=19850014087}
}
@article{morEveS95,
author = {Everson, R. and Sirovich, L.},
title = {{K}arhunen-{L}o{\'e}ve Procedure for Gappy Data},
journal = {Journal of the Optical Society of America A},
year = 1995,
volume = 12,
number = 8,
pages = {1657--1664},
doi = {10.1364/JOSAA.12.001657}
}
@incollection{morFahS03,
author = {Fahl, M. and Sachs, E.~W.},
title = {Reduced order modelling approaches to {PDE}-constrained
optimization based on proper orthogonal decomposition},
booktitle = {Large-scale {PDE}-constrained optimization ({S}anta {F}e,
{NM}, 2001)},
publisher = {Springer},
year = 2003,
volume = 30,
series = {Lect. Notes Comput. Sci. Eng.},
pages = {268--280},
address = {Berlin}
}
@phdthesis{morFar07,
author = {Farle, O.},
title = {Ordungsreduktionsverfahren f{\"{u}}r die
{F}inite-{E}lemente-{S}imulation parameterabh{\"{a}}ngiger
passiver {M}ikrowellenstrukturen},
school = {Saarland University},
year = 2007,
type = {{Ph.D. Thesis}},
address = {Lehrstuhl f{\"{u}}r Theoretische Elektrotechnik Saarland
University}
}
@article{morFarHIetal06,
author = {Farle, O. and Hill, V. and Ingelstr{\"{o}}m, P. and
Dyczij-Edlinger, R.},
title = {Model Order Reduction of Linear Finite Element Models
Parameterized by Polynomials in Several Variables},
journal = atautom,
year = 2006,
volume = 54,
number = 4,
pages = {161--169}
}
@article{morFarHIetal08,
author = {Farle, O. and Hill, V. and Ingelstr{\"{o}}m, P. and
Dyczij-Edlinger, R.},
title = {Multi-parameter polynomial order reduction of linear finite
element models},
journal = mcmds,
year = 2008,
volume = 14,
number = 5,
pages = {421--434}
}
@article{morFarHNetal05,
author = {O. Farle and V. Hill and P. Nickel and R. Dyczij-Edlinger},
title = {An {A}rnoldi-Type Algorithm for Parametric Finite Element
Modelling of Microwave Components},
journal = {Proc. Appl. Math. Mech.},
year = 2005,
volume = 5,
number = 1,
pages = {655--656}
}
@article{morFasS11,
author = {H. Fa{\ss}bender and A. Soppa},
title = {Machine tool simulation based on reduced order {FE} models},
journal = {Math. Comput. Simulation},
year = 2011,
volume = 82,
number = 3,
pages = {404--413},
fjournal = {Mathematics and Computers in Simulation}
}
@phdthesis{morFeh11,
author = {J. Fehr},
title = {Automated and Error Controlled Model Reduction in Elastic
Multibody Systems},
school = {Universit{\"{a}}t Stuttgart},
year = 2011,
type = {{Ph.D. Thesis}}
}
@article{morFehE10,
author = {Fehr, J. and Eberhard, P.},
title = {Error-controlled Model Reduction in Flexible Multibody
Dynamics},
journal = {J. Comput. Nonlinear Dynam.},
year = 2010,
volume = 5,
number = 3,
pages = {031005-1--031005-8},
doi = {10.1115/1.4001372}
}
@inproceedings{morFehEL08,
author = {Fehr, J. and Eberhard, P. and Lehner, M},
title = {Improving the Reduction Process in Flexible Multibody Dynamics
by the Use of 2nd Order Position Gramian Matrices},
booktitle = {ENOC-2008, St. Petersburg, Russia},
year = 2008
}
@incollection{morFehGHetal18,
author = {Fehr, J. and Grunert, D. and Holzwarth, P. and Fr{\"{o}}hlich,
B. and Walker, N. and Eberhard, P.},
title = {Morembs---A Model Order Reduction Package for Elastic
Multibody Systems and Beyond},
booktitle = {Reduced-Order Modeling (ROM) for Simulation and Optimization:
Powerful Algorithms as Key Enablers for Scientific Computing},
publisher = {Springer International Publishing},
year = 2018,
pages = {141--166},
address = {Cham},
isbn = {978-3-319-75319-5},
doi = {10.1007/978-3-319-75319-5_7}
}
@article{morFehHE16,
author = {Fehr, J. and Holzwarth, P. and Eberhard, P.},
title = {Interface and model reduction for efficient explicit
simulations - a case study with nonlinear vehicle crash
models},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {380--396},
doi = {10.1080/13873954.2016.1198385}
}
@article{morFehHHetal16,
author = {J. Fehr and J. Heiland and C. Himpe and J. Saak},
title = {Best Practices for Replicability, Reproducibility and
Reusability of Computer-Based Experiments Exemplified by Model
Reduction Software},
journal = {AIMS Mathematics},
year = 2016,
volume = 1,
number = 3,
pages = {261--281},
doi = {10.3934/Math.2016.3.261}
}
@inproceedings{morFelF94,
author = {P. Feldmann and R.~W. Freund},
title = {Efficient Linear Circuit Analysis by {P}ad{\'e} Approximation
via the {L}anczos Process},
booktitle = {Proc. of {EURO}-{DAC} '94 with {EURO}-{VHDL} '94, Grenoble,
France},
year = 1994,
pages = {170--175},
publisher = {IEEE Computer Society Press},
url = {http://citeseer.ist.psu.edu/feldmann94efficient.html}
}
@article{morFelF95,
author = {P. Feldmann and R.~W. Freund},
title = {Efficient linear circuit analysis by {P}ad{\'e} approximation
via the {L}anczos process},
journal = ieeetranscadcs,
year = 1995,
volume = 14,
pages = {639--649}
}
@article{morFelLP07,
author = {Feldmann, S. and Lang, P. and Pr{\"{a}}tzel-Wolters, D.},
title = {A unified least squares approach to identify and to reduce
continuous asymptotically stable systems},
journal = {Linear Algebra and Its Applications},
year = 2007,
volume = 426,
number = {2-3},
pages = {674--689},
publisher = {Elsevier}
}
@article{morFen05,
author = {Feng, L.},
title = {Parameter independent model order reduction},
journal = {Math. Comput. Simulation},
year = 2005,
volume = 68,
number = 3,
pages = {221--234},
fjournal = {Mathematics and Computers in Simulation},
issn = {0378-4754}
}
@article{morFen23,
author = {Feng, L.},
title = {Predicting output responses of nonlinear dynamical systems
with parametrized inputs using {LSTM}},
journal = {IEEE J. Multiscale Multiphysics Comput. Tech.},
year = 2023,
volume = 8,
pages = {97--107},
doi = {10.1109/JMMCT.2023.3242044}
}
@techreport{morFenAB15,
author = {L. Feng and A.~C. Antoulas and P. Benner},
title = {Some a posteriori error bounds for reduced order modelling of
(non-)parametrized linear systems},
institution = {Max Planck Institute Magdeburg},
year = 2015,
type = {Preprint},
number = {MPIMD/15-17},
month = oct,
note = {Available from
\url{http://www.mpi-magdeburg.mpg.de/preprints/}}
}
@inproceedings{morFenAB16,
author = {Feng, L. and Antoulas, A.~C. and Benner, P.},
title = {Automatic generation of reduced order models for linear
parametric systems},
booktitle = {European Conference on Mathematics for Industry (ECMI)},
year = 2016,
volume = 22,
series = {The European Consortium for Mathematics in Industry},
doi = {10.1007/978-3-319-23413-7}
}
@article{morFenAB17,
author = {Feng, L. and Antoulas, A.~C. and Benner, P.},
title = {Some a posteriori error bounds for reduced order modelling of
(non-)parametrized linear systems},
journal = {ESAIM: M2AN},
volume = {51},
number = {6},
pages = {2127--2158},
year = 2017,
doi = {10.1051/m2an/2017014}
}
@inproceedings{morFenB07,
author = {L. Feng and P. Benner},
title = {Parametrische {M}odellreduktion durch impliziten
{M}omentenabgleich},
booktitle = {Tagungsband GMA-FA 1.30 'Modellbildung, Identifizierung und
Simulation in der Automatisierungstechnik', Workshop in Anif,
26.-28.9.2007},
year = 2007,
editor = {B. Lohmann and A. Kugi},
pages = {34--47}
}
@inproceedings{morFenB07a,
author = {Feng, L. and Benner, P.},
title = {A Note on Projection Techniques for Model Order Reduction of
Bilinear Systems},
booktitle = {AIP Conference Proceedings},
year = 2007,
volume = 936,
pages = {208--211},
doi = {10.1063/1.2790110}
}
@article{morFenB08,
author = {Feng, L. and Benner, P.},
title = {A robust algorithm for parametric model order reduction},
journal = pamm,
year = 2008,
volume = 7,
number = 1,
pages = {1021501--1021502},
month = dec,
organization = {GAMM}
}
@inproceedings{morFenB10,
author = {L. Feng and P. Benner},
title = {Model Order Reduction for Systems with Non-Rational Transfer
Function Arising in Computational Electromagnetics},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2008},
year = 2010,
editor = {J. Roos and L.~R.~J. Costa},
volume = 14,
series = {Mathematics in Industry},
pages = {512--522},
address = {Berlin/Heidelberg},
publisher = {Springer-Verlag}
}
@incollection{morFenB14,
author = {Feng, L. and Benner, P.},
title = {A robust algorithm for parametric model order reduction based
on implicit moment matching},
booktitle = {Reduced Order Methods for modeling and computational
reduction},
publisher = springer,
year = 2014,
editor = {Quarteroni, A. and Rozza, G.},
volume = 9,
series = {MS \& A},
pages = {159--186},
address = {Berlin, Heidelberg, New York},
doi = {10.1007/978-3-319-02090-7_6}
}
@inproceedings{morFenB19,
author = {Feng, L. and Benner, P.},
title = {Efficient Error Estimator for Model Order Reduction of Linear
Parametric Systems},
booktitle = {2019 IEEE/MTT-S International Microwave Symposium (IMS 2019)},
year = 2019,
pages = {346--349},
publisher = {IEEE}
}
@incollection{morFenB19a,
author = {Feng, L. and Benner, P.},
title = {Parametric model order reduction for electro-thermal coupled
problems},
booktitle = {Nanoelectronic Coupled Problems Solutions},
publisher = {Springer},
year = 2019,
volume = 29,
series = {Mathematics in Industry book series (MATHINDUSTRY) and The
European Consortium for Mathematics in Industry book sub
series (TECMI)},
pages = {293--309},
doi = {10.1007/978-3-030-30726-4_13}
}
@article{morFenB19b,
author = {Feng, L. and Benner, P.},
title = {A New Error Estimator for Reduced-Order Modeling of Linear
Parametric Systems},
journal = {IEEE Transactions on Microwave Theory and Techniques},
year = {2019},
volume = {67},
number = {12},
pages = {4848--4859},
doi = {10.1109/TMTT.2019.2948858}
}
@article{morFenB21,
author = {Feng, L. and Benner, P.},
title = {On Error Estimation for Reduced-order Modeling of Linear
Non-parametric and Parametric Systems },
journal = m2an,
volume = 55,
number = 2,
pages = {561--594},
year = 2021,
doi = {10.1051/m2an/2021001}
}
@inproceedings{morFenBK09,
author = {L. Feng and P. Benner and J.~G. Korvink},
title = {Parametric Model Order Reduction Accelerated by Recycling
Algorithm},
booktitle = {Proc. 48th IEEE CDC and 28th Chinese Control Conf.},
year = 2009,
pages = {4328--4333},
address = {Los Alamitos, CA},
publisher = {IEEE Publications}
}
@article{morFenBK13,
author = {L. Feng and P. Benner and J.~G. Korvink},
title = {Subspace recycling accelerates the parametric macromodeling of
{MEMS}},
journal = intnumereng,
year = 2013,
volume = 94,
number = 1,
pages = {84--110},
doi = {10.1002/nme.4449}
}
@incollection{morFenBK13a,
author = {Feng, L. and Benner, P. and Korvink, J.~G.},
title = {{System-Level Modeling of {MEMS} by Means of Model Order
Reduction (Mathematical Approximation) - Mathematical
Background}},
booktitle = {System-level Modeling of MEMS},
publisher = {Wiley-VCH},
year = 2013,
editor = {Bechtold, T. and Schrag, G. and Feng, L.},
volume = 10,
series = {Advanced Micro and Nanosystems},
pages = {53--93},
address = {Weinheim},
doi = {10.1002/9783527647132.ch3}
}
@article{morFenBRetal22,
author = {L. Feng and P. Benner and D. Romano and G. Antonini},
title = {Matrix-free Transfer Function Prediction using Model Reduction
and Machine Learning},
journal = ieeetransmtt,
year = 2022,
volume = 70,
number = 12,
pages = {5392--5404},
fjournal = {Transactions on Microwave Theory and Techniques},
doi = {10.1109/TMTT.2022.3218854}
}
@article{morFenCB24,
author = {Feng, L. and Chellappa, S. and Benner, P.},
title = {A Posteriori Error Estimation for Model Order Reduction of
Parametric Systems},
journal = {Adv. Model. and Simul. in Eng. Sci.},
year = 2024,
volume = 11,
number = 5,
pages = {},
month = mar,
fjournal = {Advanced Modeling and Simulation in Engineering Sciences},
doi = {10.1186/s40323-024-00260-8}
}
@article{morFenFW21,
author = {Feng, L. and Fu, G. and Wang, Z.},
title = {A {FOM}/{ROM} Hybrid Approach for Accelerating Numerical
Simulations},
journal = jscicomput,
year = 2021,
volume = 89,
number = 61,
doi = {10.1007/s10915-021-01668-9}
}
@techreport{morFenHS26,
title = {Surrogate modeling for convection-dominated parametric
problems based on error learning},
author = {Feng, L. and Hassan, A. and Sun, S.},
institution = {arXiv},
type = {e-print},
number = {2605.29769},
year = {2026},
month = may,
note = {math.DS},
doi = {10.48550/arXiv.2605.29769}
}
@article{morFenKB15,
author = {Feng, L. and Korvink, J.~G. and Benner, P.},
title = {A fully adaptive scheme for model order reduction based on
moment-matching},
journal = {IEEE Transactions on Components, Packaging and Manufacturing
Technology},
year = 2015,
volume = 5,
number = 12,
pages = {1872--1884},
doi = {10.1109/TCPMT.2015.2491341}
}
@article{morFenKRetal06,
author = {Feng, L. and Koziol, D. and Rudnyi, E.~B. and Korvink, J.~G.},
title = {Parametric Model Reduction for Fast Simulation of Cyclic
Voltammograms},
journal = {Sensor Letters},
year = 2006,
volume = 4,
number = 2,
pages = {165--173},
publisher = {American Scientific Publishers}
}
@inproceedings{morFenLAetal21,
author = {Feng, L. and Lombardi, L. and Antonini, G. and Benner, P.},
title = {Stable Macromodels for Delayed {PEEC} Models with Error
Estimation},
booktitle = {2021 International Applied Computational Electromagnetics
Society (ACES) Symposium ACES2021, August 1--5, 2021,
Online-Live, Interactive},
year = 2021,
pages = {1--4},
publisher = {IEEE},
doi = {10.1109/ACES53325.2021.00011}
}
@article{morFenLAetal23,
author = {Feng, L. and Lombardi, L. and Antonini, G. and Benner, P.},
title = {Multi-fidelity error estimation accelerates greedy model
reduction of complex dynamical systems},
journal = intnumereng,
year = 2023,
volume = 124,
number = 23,
pages = {5312--5333},
doi = {10.1002/nme.7348}
}
@article{morFenLBetal22,
author = {L. Feng and L. Lombardi and P. Benner and D. Romano and
G. Antonini},
title = {Stable Model Order Reduction for Delayed {PEEC} Models with
Guaranteed Accuracy},
journal = {IEEE Trans. Circuits Syst. I, Reg. Papers},
year = 2022,
volume = 69,
number = 10,
pages = {4177--4190},
doi = {10.1109/TCSI.2022.3189389}
}
@article{morFenMB17,
author = {Feng, L. and Mangold, M. and Benner, P.},
title = {Adaptive {POD-DEIM} Basis Construction and its Application to
a Nonlinear Population Balance System},
journal = {AIChE J.},
year = 2017,
volume = {63},
number = {9},
pages = {3832--3844},
doi = {10.1002/aic.15749}
}
@inproceedings{morFenMSetal16,
author = {Feng, L. and Meuris, P. and Schoenmaker, W. and Benner, P.},
title = {Parametric and reduced-order modeling for the thermal analysis
of nanoelectronic structures},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2014},
year = 2016,
volume = 23,
series = {The European Consortium for Mathematics in Industry},
pages = {155--163},
doi = {10.1007/978-3-319-30399-4_16}
}
@techreport{morFenRK04,
author = {Feng, L. and Rudnyi, E.~B. and Korvink, J.~G.},
title = {Parametric Model Reduction to Generate Boundary Condition
Independent Compact Thermal Model},
institution = {IMTEK-Institute for Microsystem Technology},
year = 2004,
type = {Technical report},
url = {http://modelreduction.com/doc/papers/feng04THERMINIC.pdf}
}
@article{morFenRK05,
author = {L. Feng and E.~B. Rudnyi and J.~G. Korvink},
title = {Preserving the film coefficient as a parameter in the compact
thermal model for fast electro-thermal simulation},
journal = ieeetranscadcs,
year = 2005,
volume = 24,
number = 12,
pages = {1838--1847}
}
@article{morFenYBetal16,
author = {Feng, L. and Yue, Y. and Banagaaya, N. and Meuris, P. and
Schoenmaker, W. and Benner, P.},
title = {Parametric Modeling and Model Order Reduction for
(Electro\mbox{-)}Thermal Analysis of Nanoelectronic
Structures},
journal = {J. Math. Ind.},
year = 2016,
volume = 6,
number = 1,
pages = {1--10},
doi = {10.1186/s13362-016-0030-8}
}
@phdthesis{morFer82,
author = {Fernando, K.~V.},
title = {Covariance and Gramian Matrices in Control and Systems Theory},
school = {University of Sheffield},
year = 1982,
type = {{Ph.D. Thesis}},
url = {http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.280627}
}
@inproceedings{morFerDF10,
author = {Fernandez, T. and Djouadi, S.~M. and Foster, J.},
title = {Empirical {H}ankel norm model reduction with application to a
prototype nonlinear convective flow},
booktitle = {Proceedings of the American Control Conference},
year = 2010,
pages = {3771--3776},
doi = {10.1109/ACC.2010.5531560}
}
@article{morFerN82,
author = {Fernando, K.~V. and Nicholson, H.},
title = {Minimality of {SISO} Linear Systems},
journal = procieee,
year = 1982,
volume = 70,
number = 10,
pages = {1241--1242},
doi = {10.1109/PROC.1982.12460}
}
@article{morFerN82a,
author = {Fernando, K.~V. and Nicholson, H.},
title = {Singular perturbational model reduction of balanced systems},
journal = ieeetransac,
year = 1982,
volume = 27,
number = 2,
pages = {466--468},
doi = {10.1109/TAC.1982.1102932}
}
@article{morFerN83,
author = {Fernando, K.~V. and Nicholson, H.},
title = {On the Structure of Balanced and Other Principal
Representations of {SISO} Systems},
journal = ieeetransac,
year = 1983,
volume = 28,
number = 2,
pages = {228--231},
doi = {10.1109/TAC.1983.1103195}
}
@article{morFerN83a,
author = {Fernando, K.~V. and Nicholson, H.},
title = {On the {C}auchy Index of Linear Systems},
journal = ieeetransac,
year = 1983,
volume = 28,
number = 2,
pages = {222--224},
doi = {10.1109/TAC.1983.1103200}
}
@article{morFerN84,
author = {Fernando, K.~V. and Nicholson, H.},
title = {On a Fundamental Property of the Cross-{G}ramian Matrix},
journal = ieeetranscs,
year = 1984,
volume = 31,
number = 5,
pages = {504--505},
doi = {10.1109/TCS.1984.1085524}
}
@article{morFerN84a,
author = {Fernando, K.~V. and Nicholson, H.},
title = {Reachability, Observability, and Minimality of {MIMO} Systems},
journal = procieee,
year = 1984,
volume = 72,
number = 12,
pages = {1820--1821},
doi = {10.1109/PROC.1984.13094}
}
@article{morFerN85,
author = {Fernando, K.~V. and Nicholson, H.},
title = {On the Cross-{G}ramian for Symmetric {MIMO} Systems},
journal = ieeetranscs,
year = 1985,
volume = 32,
number = 5,
pages = {487--489},
doi = {10.1109/TCS.1985.1085737}
}
@article{morFilPGetal23,
author = {Filanova, Y. and Pontes Duff, I. and Goyal, P. and Benner, P.},
title = {An operator inference oriented approach for linear mechanical
systems},
journal = mssp,
year = 2023,
volume = 200,
number = 110620,
doi = {10.1016/j.ymssp.2023.110620}
}
@inproceedings{morFla10,
author = {G.~M. Flagg},
title = {$\mathcal{H}_\infty$-optimal interpolation: New properties and
applications},
booktitle = {Talk given at the 2010 SIAM Annual Meeting},
year = 2010,
publisher = {Pittsburgh (PA)}
}
@phdthesis{morFla12,
author = {G.~M. Flagg},
title = {Interpolation methods for the model reduction of bilinear
systems},
school = vtech,
year = 2012,
type = {{Ph.D. Thesis}},
address = {Blacksburg, Virginia, USA},
month = apr
}
@article{morFlaBG12,
author = {Flagg, G. and Beattie, C. and Gugercin, S.},
title = {Convergence of the Iterative Rational {K}rylov Algorithm},
journal = scl,
year = 2012,
volume = 61,
number = 6,
pages = {688--691},
doi = {10.1016/j.sysconle.2012.03.005}
}
@article{morFlaBG13,
author = {G.~M. Flagg and C.~A. Beattie and S. Gugercin},
title = {Interpolatory $\mathcal{H}_\infty$ Model Reduction},
journal = scl,
year = 2013,
volume = 62,
number = 7,
pages = {567--574}
}
@article{morFlaG15,
author = {Flagg, G.~M. and Gugercin, S.},
title = {Multipoint {V}olterra Series Interpolation and $\mathcal{H}_2$
Optimal Model Reduction of Bilinear Systems},
journal = siammatrix,
year = 2015,
volume = 36,
number = 2,
pages = {549--579},
doi = {10.1137/130947830}
}
@book{morForNG92,
author = {L. Fortuna and G. Nummari and A. Gallo},
title = {Model Order Reduction Techniques with Applications in
Electrical Engineering},
publisher = {Springer-Verlag},
year = 1992
}
@article{morFre00,
author = {R.~W. Freund},
title = {{K}rylov-subspace methods for reduced-order modeling in
circuit simulation},
journal = compapplmath,
year = 2000,
volume = 123,
number = {1--2},
pages = {395--421}
}
@article{morFre03,
author = {Freund, R.~W.},
title = {Model reduction methods based on {K}rylov subspaces},
journal = {Acta Numer.},
year = 2003,
volume = 12,
pages = {267--319},
doi = {10.1017/S0962492902000120}
}
@inproceedings{morFre04,
author = {R.~W. Freund},
title = {{SPRIM}: Structure-Preserving Reduced-Order Interconnect
Macromodeling},
booktitle = {Proc. Int. Conf. on Computer Aided Design (ICCAD)},
year = 2004,
pages = {80--87},
publisher = {IEEE Computer Society Press},
doi = {10.1109/ICCAD.2004.1382547}
}
@inproceedings{morFre05,
author = {Freund, R.~W.},
title = {{P}ad{\'e}-Type Model Reduction of Second-Order and
Higher-Order Linear Dynamical Systems},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {Benner, P. and Mehrmann, V. and Sorensen, D.~C.},
volume = 45,
series = lncse,
pages = {173--189},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
doi = {10.1007/3-540-27909-1_8}
}
@inproceedings{morFre08,
author = {Freund, R.~W.},
title = {Structure-Preserving Model Order Reduction of {RCL} Circuit
Equations},
booktitle = {Model Order Reduction: Theory, Research Aspects and
Applications},
year = 2008,
editor = {W.~H.~A. Schilders and H.~A. van der Vorst and J. Rommes},
pages = {49--73},
publisher = springer
}
@incollection{morFre99,
author = {R.~W. Freund},
title = {Reduced-Order Modeling Techniques Based on {K}rylov Subspaces
and Their Use in Circuit Simulation},
booktitle = {Applied and Computational Control, Signals, and Circuits},
publisher = birkhauser,
year = 1999,
editor = {B.~N. Datta},
volume = 1,
chapter = 9,
pages = {435--498},
address = {Boston, MA}
}
@article{morFreDM21,
author = {Fresca, S. and Ded{\`e}, L. and Manzoni, A},
title = {A Comprehensive Deep Learning-Based Approach to Reduced Order
Modeling of Nonlinear Time-Dependent Parametrized {PDEs}},
journal = jscicomput,
volume = {87},
pages = {61},
year = {2021},
doi = {10.1007/s10915-021-01462-7}
}
@article{morFreF96,
author = {R.~W. Freund and P. Feldmann},
title = {Small-signal circuit analysis and sensitivity computations
with the {PVL} algorithm},
journal = ieeetranscs2,
year = 1996,
volume = 43,
pages = {577--585}
}
@inproceedings{morFreF96a,
author = {R.~W. Freund and P. Feldmann},
title = {Reduced-order modeling of large passive linear circuits by
means of the {SyPVL} algorithm},
booktitle = {Technical Digest of the 1996 IEEE/ACM International Conference
on Computer-Aided Design},
year = 1996,
pages = {280--287},
publisher = {IEEE Computer Society Press}
}
@inproceedings{morFreF97,
author = {R.~W. Freund and P. Feldmann},
title = {The {SyMPVL} algorithm and its applications to interconnect
simulation},
booktitle = {Proc. of the 1997 International Conference on Simulation of
Semiconductor Processes and Devices},
year = 1997,
pages = {113--116},
publisher = {IEEE},
url = {http://citeseer.ist.psu.edu/freund97sympvl.html}
}
@inproceedings{morFreF98,
author = {R.~W. Freund and P. Feldmann},
title = {Reduced-order modeling of large linear passive multi-terminal
circuits using matrix-{P}ad{\'e} approximation},
booktitle = {Proc. Design, Automation and Test in Europe Conference 1998},
year = 1998,
pages = {530--537},
publisher = {IEEE Computer Society Press},
url = {http://citeseer.ist.psu.edu/article/freund98reducedorder.html}
}
@article{morFreJV07,
author = {Freund, R.~W. and Jarre, F. and Vogelbusch, C.~H.},
title = {Nonlinear semidefinite programming: sensitivity, convergence,
and an application in passive reduced-order modeling},
journal = {Mathematical Programming},
year = 2007,
volume = 109,
number = 2,
pages = {581--611},
publisher = {Springer}
}
@article{morFreMDetal20,
author = {Fresca, S. and Manzoni, A. and Ded{\`e}, L. and Quarteroni,
A.},
journal = {PLOS ONE},
title = {Deep learning-based reduced order models in cardiac
electrophysiology},
volume = {15},
number = {10},
pages = {1--32},
year = {2020},
doi = {10.1371/journal.pone.0239416}
}
@article{morFreMVetal11,
author = {F. Freitas and N. Martins and S.~L. Varricchio and J. Rommes
and F.~C. Veliz},
title = {Reduced-Order Transfer Matrices From {RLC} Network Descriptor
Models of Electric Power Grids},
journal = ieeetransps,
year = 2011,
volume = 26,
number = 4,
pages = {1905--1916},
doi = {10.1109/TPWRS.2011.2136442}
}
@article{morFrePR16,
author = {Freitas, F.~D. and Pulch, R. and Rommes, J.},
title = {Fast and Accurate Model Reduction for Spectral Methods in
Uncertainty Quantification},
journal = {Int. J. for Uncertainty Quantification},
year = 2016,
volume = 6,
number = 3,
pages = {271--286},
doi = {10.1615/Int.J.UncertaintyQuantification.2016016646}
}
@article{morFreRM08,
author = {F. Freitas and J. Rommes and N. Martins},
title = {Gramian-Based Reduction Method Applied to Large Sparse Power
System Descriptor Models},
journal = ieeetransps,
year = 2008,
volume = 23,
number = 3,
pages = {1258--1270},
month = aug,
doi = {10.1109/TPWRS.2008.926693}
}
@inproceedings{morFuZDetal10,
author = {Fu, J. and Zhong, C. and Ding, Y. and Zhou, J. and Zhong, C.},
title = {An Information Theoretic Approach to Model Reduction based on
Frequency-domain Cross-{G}ramian Information},
booktitle = {Proceedings of the 8th World Congress on Intelligent Control
and Automation},
year = 2010,
pages = {3679--3683},
address = {Jinan, PRC},
publisher = {IEEE},
doi = {10.1109/WCICA.2010.5553913}
}
@article{morFuZS09,
author = {Fu, J.~B. and H. Zhang and Sun, Y.~X.},
title = {Model reduction by minimizing information loss based on
cross-{G}ramian matrix},
journal = {Journal of Zhejiang University (Engineering Science)},
year = 2009,
volume = 43,
number = 5,
pages = {817--821},
url = {http://en.cnki.com.cn/Article_en/CJFDTOTAL-ZDZC200905005.htm}
}
@inproceedings{morFujS14,
author = {Fujimoto, K. and Scherpen, J.~M.~A.},
title = {On balanced truncation for symmetric nonlinear systems},
booktitle = {International Symposium on Mathematical Theory of Networks and
Systems},
year = 2014,
volume = 21,
pages = {1498--1502},
url = {http://hdl.handle.net/11370/48dc6589-2b34-473a-9e4f-1f1a47b3a892}
}
@article{morGajL01,
author = {Gajic, Z. and Lelic, M.},
title = {Improvement of system order reduction via balancing using the
method of singular perturbation},
journal = automatica,
year = 2001,
volume = 37,
number = 11,
pages = {1859--1865},
doi = {10.1016/S0005-1098(01)00139-X}
}
@incollection{morGalGM15,
author = {Galant, A. and Gro{\ss}mann, K. and M{\"{u}}hl, A.},
title = {Thermo-Elastic Simulation of Entire Machine Tool},
booktitle = {Thermo Energetic Design of Machine Tools},
publisher = {Springer International Publishing Switzerland},
year = 2015,
editor = {Knut Gro{\ss}mann},
series = lnpe,
chapter = 8,
pages = {69--84},
doi = {10.1007/978-3-319-12625-8_7}
}
@article{morGalGV94,
author = {K. Gallivan and E. Grimme and Van~Dooren, P.},
title = {Asymptotic waveform evaluation via a {L}anczos method},
journal = applmathlett,
year = 1994,
volume = 7,
number = 5,
pages = {75--80}
}
@article{morGalGV96,
author = {K. Gallivan and E. Grimme and Van~Dooren, P.},
title = {A rational {L}anczos algorithm for model reduction},
journal = numeralg,
year = 1996,
volume = 12,
pages = {33--63}
}
@article{morGalRD06,
author = {K. Gallivan and X. Rao and Van~Dooren, P.},
title = {Singular {R}iccati equations stabilizing large-scale systems},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {359--372}
}
@article{morGalVV04,
author = {K. Gallivan and A. Vandendorpe and Van~Dooren, P.},
title = {Model reduction of {MIMO} systems via tangential
interpolation},
journal = siammatrix,
year = 2004,
volume = 26,
number = 2,
pages = {328--349},
doi = {10.1137/S0895479803423925}
}
@article{morGalVV04a,
author = {K. Gallivan and A. Vandendorpe and Van~Dooren, P.},
title = {{S}ylvester equations and projection-based model reduction},
journal = compapplmath,
year = 2004,
volume = 162,
number = 1,
pages = {213--229}
}
@article{morGarB02,
author = {Garcia, J.~S. and Basilio, J.~C.},
title = {Computation of reduced-order models of multivariable systems
by balanced truncation},
journal = {Int. J. Syst. Sci.},
year = 2002,
volume = 33,
number = 10,
pages = {847--854},
doi = {10.1080/0020772021000017308}
}
@article{morGarNT99,
author = {Garcia-Archilla, B. and Novo, J. and Titi, E.~S.},
title = {An approximate inertial manifolds approach to postprocessing
the {G}alerkin method for the {N}avier-{S}tokes equations.},
journal = {Math. Comput.},
year = 1999,
volume = 68,
number = 227,
pages = {893--911}
}
@book{morGaw04,
author = {Gawronski, W.~K.},
title = {Advanced structural dynamics and active control structures.},
publisher = {Mechanical Engineering Series. New York, NY: Springer. xxii,
396~p.},
year = 2004
}
@article{morGawJ90,
author = {Gawronski, W. and Juang, J.-N.},
title = {Model reduction in limited time and frequency intervals},
journal = {Int. J. Syst. Sci.},
year = 1990,
volume = 21,
number = 2,
pages = {349--376},
doi = {10.1080/00207729008910366}
}
@article{morGawW91,
author = {Gawronski, W. and Williams, T.},
title = {Model Reduction for Flexible Space Structures},
journal = {Journal of Guidance},
year = 1991,
volume = 14,
number = 1,
pages = {68--76},
doi = {10.2514/3.20606}
}
@inproceedings{morGeuBPetal14,
author = {Geu\ss, M. and Butnaru, D. and Peherstorfer, B. and Bungartz,
H. and Lohmann, B.},
title = {Parametric Model Order Reduction by Sparse-Grid-Based
Interpolation on Matrix Manifolds for Multidimensional
Parameter Spaces},
booktitle = {Proceedings of the European Control Conference, Strasbourg,
France},
year = 2014,
pages = {2727--2732},
doi = {10.1109/ECC.2014.6862414}
}
@incollection{morGeuD13,
author = {Geu\ss, M. and Diepold, K.~J.},
title = {An Approach for Stability-Preserving Model Order Reduction for
Switched Linear Systems Based on Individual Subspaces},
booktitle = {Methoden und Anwendungen der Regelungstechnik},
publisher = {Shaker Verlag},
year = 2013,
editor = {G. Roppenecker and B. Lohmann},
month = sep,
address = {Aachen}
}
@article{morGeuL16,
author = {Geu\ss, M. and Lohmann, B.},
title = {{STABLE} - a stability algorithm for parametric model
reduction by matrix interpolation},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {307--322},
doi = {10.1080/13873954.2016.1198383}
}
@article{morGeuPL13,
author = {Geuss, M. and Panzer, H. and Lohmann, B.},
title = {On parametric model order reduction by matrix interpolation},
journal = {Proceedings of the 12th European Control Conference},
year = 2013,
pages = {3433--3438},
doi = {10.23919/ECC.2013.6669829},
address = {Zurich}
}
@inproceedings{morGeuPWetal12,
author = {Geu\ss, M. and Panzer, H. and Wirtz, A. and Lohmann, B.},
title = {A general framework for parametric model order reduction by
matrix interpolation},
booktitle = {Workshop on Model Reduction of Parametrized Systems II
(MoRePaS II)},
year = 2012
}
@inproceedings{morGeuPWetal14,
author = {Geu\ss, M. and Panzer, H. and Wolf, T. and Lohmann, B.},
title = {Stability Preservation for Parametric Model Order Reduction by
Matrix Interpolation},
booktitle = {Proc. European Control Conf. ECC~2014, Strasbourg},
year = 2014,
pages = {1098--1103}
}
@inproceedings{morGhaVPetal05,
author = {P. Ghanta and S. Vrudhula and R. Panda and J. Wang},
title = {Stochastic power grid analysis considering process variations},
booktitle = {Proc. IEEE/ACM Design, Automation and Test in Europe},
year = 2005,
pages = {964--969}
}
@inproceedings{morGhoS12,
author = {Ghosh, S. and Senroy, N.},
title = {A Comparative Study of Two Model Order Reduction Approaches
for Application in Power Systems},
booktitle = {2012 IEEE Power and Energy Society General Meeting},
year = 2012,
pages = {1--8},
doi = {10.1109/PESGM.2012.6344785}
}
@phdthesis{morGil06,
author = {Gildin, E.},
title = {Model and Controller Reduction of Large-Scale Structures Based
on Projection Methods},
school = {University of Texas at Austin},
year = 2006,
type = {{Ph.D. Thesis}},
url = {http://hdl.handle.net/2152/2693}
}
@article{morGirLLetal14,
author = {Giraldi, L. and Litvinenko, A. and Liu, D. and Matthies,
H.~G. and Nouy, A.},
title = {To Be or Not to Be Intrusive? The Solution of Parametric and
Stochastic Equations---the ``Plain Vanilla'' {G}alerkin Case},
journal = siamscicomp,
year = 2014,
volume = 36,
number = 6,
pages = {A2720--A2744},
doi = {10.1137/130942802}
}
@article{morGirLMetal15,
author = {Giraldi, L. and Liu, D. and Matthies, H.~G. and Nouy, A.},
title = {To Be or Not to be Intrusive? The Solution of Parametric and
Stochastic Equations -- Proper Generalized Decomposition},
journal = siamscicomp,
year = 2015,
volume = 37,
number = 1,
pages = {A347--A368},
doi = {10.1137/140969063}
}
@article{morGkiATetal25,
author = {Gkimisis, L. and Aretz, N. and Tezzele, M. and Richter, T. and
Benner, P. and Willcox, K.~E.},
title = {Non-intrusive reduced-order modeling for dynamical systems
with spatially localized features},
journal = cmame,
year = 2025,
volume = 444,
pages = 118115,
doi = {10.1016/j.cma.2025.118115}
}
@article{morGkiPGetal26,
author = {Gkimisis, L. and Pontes Duff, I. and Goyal, P. and Benner, P.},
title = {On the representation of energy-preserving quadratic operators
with application to {Operator Inference}},
journal = applmathlett,
year = 2026,
volume = 173,
pages = 109761,
issn = {0893-9659},
doi = {10.1016/j.aml.2025.109761}
}
@article{morGkiRB23,
author = {Gkimisis, L. and Richter, T. and Benner, P.},
title = {Adjacency-based, non-intrusive reduced-order modeling for
fluid-structure interactions},
journal = pamm,
year = 2023,
volume = 23,
number = 4,
pages = {e202300047},
doi = {10.1002/pamm.202300047}
}
@article{morGkiRB24,
author = {Gkimisis, L. and Richter, T. and Benner, P.},
title = {Adjacency-based, non-intrusive model reduction for
Vortex-Induced Vibrations},
journal = {Comp. \& Fluids},
year = 2024,
volume = 275,
number = 106248,
fjournal = {Computers \& Fluids},
doi = {10.1016/j.compfluid.2024.106248}
}
@article{morGkiYRetal26,
author = {Gkimisis, L. and Y{\i}ld{\i}z, S. and Richter, T. and Benner, P.},
title = {A {CFL}-type condition and theoretical insights for
discrete-time sparse full-order model inference},
journal = compapplmath,
year = 2026,
volume = 482,
pages = 117269,
issn = {0377-0427},
doi = {10.1016/j.cam.2025.117269}
}
@inproceedings{morGlaMM98,
author = {Glava{\v{s}}ki, S. and Marsden, J.~E. and Murray, R.~M.},
title = {Model Reduction, Centering, and the {K}arhunen-{L}oeve
Expansion},
booktitle = {Decision and Control, 1998. Proceedings of the 37th IEEE
Conference on},
year = 1998,
volume = 2,
pages = {2071--2076},
doi = {10.1109/CDC.1998.758639}
}
@article{morGlo84,
author = {Glover, K.},
title = {All optimal {H}ankel-norm approximations of linear
multivariable systems and their {L}$^\infty$-error norms},
journal = intcontrol,
year = 1984,
volume = 39,
number = 6,
pages = {1115--1193},
doi = {10.1080/00207178408933239}
}
@article{morGlo87,
author = {Glover, K.},
title = {Model Reduction: A Tutorial on {H}ankel-Norm Methods and Lower
Bounds on {$L^2$}~Errors},
journal = {IFAC Proceedings Volume (10th Triennial IFAC Congress on
Automatic Control)},
year = 1987,
volume = 20,
number = 5,
pages = {293--298},
doi = {10.1016/S1474-6670(17)55515-9}
}
@article{morGloK05,
author = {Gl{\"{o}}smann, P. and Kreuzer, E.},
title = {Monitoring of Railway Vehicles-Detection of Critical Rolling
States of Railway Wheelsets},
journal = {Machine Dynamics Problems},
year = 2005,
volume = 29,
number = 4,
pages = {47--58}
}
@incollection{morGloP87,
author = {Glover, K. and Partington, J.~R.},
title = {Bounds on the Achievable Accuracy in Model Reduction},
booktitle = {Modelling, Robustness and Sensitivity Reduction in Control
Systems},
publisher = {Springer},
year = 1987,
editor = {Curtain, R.~F.},
volume = 30,
series = {{NATO} {ASI} Series (Series F: Computer and Systems Sciences)},
pages = {95--118},
doi = {10.1007/978-3-642-87516-8_7}
}
@article{morGos22,
author = {Gosea, I.~V.},
title = {Exact and Inexact Lifting Transformations of Nonlinear
Dynamical Systems: Transfer Functions, Equivalence, and
Complexity Reduction},
journal = {Applied Sciences},
year = 2022,
volume = 12,
number = 5,
pages = 2333,
publisher = {Multidisciplinary Digital Publishing Institute},
doi = {10.3390/app12052333}
}
@inproceedings{morGosA15,
author = {Gosea, I.~V. and Antoulas, A.~C.},
title = {Model reduction of linear and nonlinear systems in the
{L}oewner framework: A summary,},
booktitle = {14th European Control Conference ({ECC}), July 15--17, Linz,
Austria},
year = {2015},
pages = {345--349},
doi = {10.1109/ECC.2015.7330568}
}
@inproceedings{morGosA16,
author = {Gosea, I.~V. and Antoulas, A.~C.},
title = {Stability preserving post-processing methods applied in
the {L}oewner framework},
booktitle = {{IEEE} 20th Workshop on Signal and Power Integrity ({SPI}),
Turin, Italy, May 8--11},
year = {2016},
pages = {1--4},
doi = {10.1109/SaPIW.2016.7496283}
}
@article{morGosA18,
author = {Gosea, I.~V. and Antoulas, A.~C.},
title = {Data-driven model order reduction of quadratic-bilinear
systems},
journal = numalgappl,
year = 2018,
volume = 25,
number = 6,
pages = {e2200},
doi = {10.1002/nla.2200}
}
@inproceedings{morGosA18a,
author = {Gosea, I.~V. and Antoulas, A.~C.},
title = {On the $\mathcal{H}_2$ norm and iterative model order
reduction of linear switched systems},
booktitle = {18th European Control Conference ({ECC}), June 12--15,
Limassol, Cyprus},
year = {2018},
pages = {2983--2988},
doi = {10.23919/ECC.2018.8550591}
}
@inproceedings{morGosA19,
author = {Gosea, I.~V. and Antoulas, A.~C.},
title = {A two-sided iterative framework for model reduction of linear
systems with quadratic output},
booktitle = {58th {IEEE} Conference on Decision and Control ({CDC}),
December 11--13, Nice, France},
year = {2019},
pages = {7812--7817},
doi = {10.1109/CDC40024.2019.9030025}
}
@inproceedings{morGosA19a,
author = {Gosea, I.~V. and Antoulas, A.~C.},
title = {A note on modeling some classes of nonlinear systems from
data},
booktitle = {15th International Conference on Computational Plasticity
({COMPLAS}), September 3--5, Barcelona, Spain},
year = {2019},
pages = {145--156},
url = {https://congress.cimne.com/complas2019/frontal/Doc/EbookCOMPLAS2019.pdf}
}
@inproceedings{morGosG20,
author = {Gosea, I.~V. and Gugercin, S.},
title = {The {AAA} framework for modeling linear dynamical systems with
quadratic output},
booktitle = {21st IFAC World Congress, Berlin, Germany, July 12--17},
year = {2020},
note = {extended abstract, accepted for publication}
}
@article{morGosG21a,
author = {Gosea, I.~V. and G{\"{u}}ttel, S.},
title = {Algorithms for the Rational Approximation of Matrix-Valued
Functions},
journal = {SIAMSciComp},
year = 2021,
volume = 43,
number = 5,
pages = {A3033--A3054},
doi = {10.1137/20M1324727}
}
@article{morGosG22,
author = {Gosea, I.~V. and Gugercin, S.},
title = {Data-driven modeling of linear dynamical systems with
quadratic output in the {AAA} framework},
journal = {J. Sci. Comput.},
year = 2022,
volume = 91,
number = 1,
pages = {1--28},
publisher = {Springer},
doi = {10.1007/s10915-022-01771-5}
}
@article{morGosGB22,
author = {Gosea, I.~V. and Gugercin, S. and Beattie, C.},
title = {Data-driven balancing of linear dynamical systems},
journal = siamscicomp,
year = 2022,
volume = 44,
number = 1,
pages = {A554--A582},
publisher = {SIAM},
doi = {10.1137/21M1411081}
}
@article{morGosGB24,
author = {Gosea, I.~V. and Gugercin, S. and Beattie, C.},
title = {A non-intrusive data-based reformulation of a hybrid
projection-based model reduction method},
journal = {IFAC-PapersOnLine},
year = 2024,
volume = 58,
number = 17,
pages = {226--231},
note = {26th IFAC Symposium on Mathematical Theory of Networks and
Systems MTNS 2024},
doi = {10.1016/j.ifacol.2024.10.171},
issn = {2405-8963}
}
@inproceedings{morGosGU21,
author = {Gosea, I.~V. and Gugercin, S. and Unger, B.},
title = {Parametric model reduction via rational interpolation along
parameters},
booktitle = {60th {IEEE} Conference on Decision and Control ({CDC}),
December 14--17, Austin, TX, USA},
year = 2021,
pages = {6895--6900},
doi = {10.1109/CDC45484.2021.9682841}
}
@article{morGosGW24,
author = {Gosea, I.~V. and Gugercin, S. and Werner, S.~W.~R.},
title = {Structured barycentric forms for interpolation-based
data-driven reduced modeling of second-order systems},
journal = advcomputmath,
year = 2024,
volume = 50,
number = 2,
pages = {1--32},
doi = {10.1007/s10444-024-10118-7}
}
@inproceedings{morGosH24,
author = {Gosea, I.~V. and Heiland, J.},
title = {Implicit and Explicit Matching of Non-Proper Transfer
Functions in the {L}oewner Framework},
booktitle = {2024 European Control Conference (ECC)},
year = 2024,
volume = {},
number = {},
pages = {3452--3457},
doi = {10.23919/ECC64448.2024.10590815}
}
@inproceedings{morGosKA20,
author = {Gosea, I.~V. and Karachalios, D. and Antoulas, A.~C.},
title = {Modeling in the {L}oewner framework: from linear dynamics to
quadratic nonlinearities},
booktitle = {21st IFAC World Congress, Berlin, Germany, July 12--17},
year = 2020,
note = {accepted for publication}
}
@inproceedings{morGosKA21,
author = {Gosea, I.~V. and Karachalios, D. and Antoulas, A.~C.},
title = {Reduced-order modeling of block-oriented nonlinear systems
from data},
booktitle = {24th International Symposium on Mathematical Theory of
Networks and Systems (MTNS), Cambridge, UK, August 23--27},
year = {2021},
note = {extended abstract, accepted for publication}
}
@article{morGosKA21a,
author = {Gosea, I.~V. and Karachalios, D.~S. and Antoulas, A.~C.},
title = {On computing reduced-order bilinear models from time-domain
data},
journal = pamm,
year = 2021,
volume = 21,
number = 1,
pages = {e202100254},
doi = {10.1002/pamm.202100254},
note = {accepted September 2021}
}
@inproceedings{morGosKA21b,
author = {Gosea, I.~V. and Karachalios, D.~S. and Antoulas, A.~C.},
title = {Learning reduced-order models of quadratic control systems
from input-output data},
booktitle = {Proc. European Control Conf. 2021, Delft, Netherlands},
year = 2021,
pages = {1426--1431},
publisher = {IEEE},
doi = {10.23919/ECC54610.2021.9654993}
}
@incollection{morGosP21,
author = {Gosea, I.~V. and Pontes Duff, I.},
title = {Toward fitting structured nonlinear systems by means of
dynamic mode decomposition},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editors = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
publisher = {Birkh{\"{a}}user, Cham},
pages = {53--74},
year = {2021},
doi = {10.1007/978-3-030-72983-7_3}
}
@inproceedings{morGosP22,
author = {Gosea, I.~V. and Pontes Duff, I.},
title = {An iterative realization-free approach for model reduction of
bilinear systems via {H}ermitian interpolation},
booktitle = {20th European Control Conference (ECC)},
year = 2022,
pages = {584--589},
doi = {10.23919/ECC55457.2022.9838095}
}
@article{morGosPA18,
author = {Gosea, I.~V. and Petreczky, M. and Antoulas, A.~C.},
title = {Data-Driven Model Order Reduction of Linear Switched Systems
in the {L}oewner Framework},
journal = siamscicomp,
year = 2018,
volume = 40,
number = 2,
pages = {B572--B610},
doi = {10.1137/17M1120233}
}
@inproceedings{morGosPA21,
author = {Gosea, I.~V. and Petreczky, M. and Antoulas, A.~C.},
title = {Reduced-order modeling of {LPV} systems in the {L}oewner
framework},
booktitle = {60th {IEEE} Conference on Decision and Control ({CDC}),
December 14--17, Austin, TX, USA},
year = 2021,
pages = {3299--3305},
doi = {10.1109/CDC45484.2021.9683742}
}
@inproceedings{morGosPA21a,
author = {Gosea, I.~V. and Poussot-Vassal, C. and Antoulas, A.~C.},
title = {On enforcing stability for data-driven reduced-order models},
booktitle = {29th Mediterranean Conference on Control and Automation (MED),
Virtual},
year = {2021},
pages = {487--493},
doi = {10.1109/MED51440.2021.9480216}
}
@incollection{morGosPA22,
author = {Gosea, I.~V. and Poussot-Vassal, C. and Antoulas, A.~C.},
title = {Data-driven modeling and control of large-scale dynamical
systems in the {L}oewner framework: methodology and
applications},
booktitle = {Numerical Control: Part A},
publisher = {Elsevier},
year = 2022,
editor = {Zuazua, E. and Trelat, E.},
volume = 23,
series = {Handbook on Numerical Analysis},
chapter = 15,
pages = {499--530},
doi = {10.1016/bs.hna.2021.12.015}
}
@article{morGosPAetal18,
author = {Gosea, I.~V. and Petreczky, M. and Antoulas, A.~C. and
Fiter, C.},
title = {Balanced truncation for linear switched systems},
journal = advcomputmath,
year = 2018,
volume = 44,
number = 6,
pages = {1845--1886},
publisher = {Springer},
doi = {10.1007/s10444-018-9610-z}
}
@inproceedings{morGosPBetal19,
author = {Gosea, I.~V. and Pontes Duff, I. and Benner, P. and Antoulas,
A.~C.},
title = {Model order reduction of bilinear time-delay systems},
booktitle = {18th European Control Conference (ECC)},
year = 2019,
pages = {2289--2294},
doi = {10.23919/ECC.2019.8796085}
}
@incollection{morGosPBetal20,
author = {Gosea, I.~V. and Pontes Duff, I. and Benner, P. and Antoulas,
A.~C.},
title = {Model Order Reduction of Switched Linear Systems with
Constrained Switching},
booktitle = {IUTAM Symposium on Model Order Reduction of Coupled Systems,
Stuttgart, Germany, May 22--25, 2018},
publisher = {Springer},
year = {2020},
volume = {36},
series = {IUTAM Bookseries},
pages = {41--53},
address = {Cham, Switzerland},
doi = {10.1007/978-3-030-21013-7_3}
}
@inproceedings{morGosPFetal20,
author = {Gosea, I.~V. and Petreczky, M. and Fiter, C. and Antoulas,
A.~C.},
title = {Balanced Truncation for Linear Switched Systems},
booktitle = {Book of Abstracts of XXI Householder Symposium on Numerical
Linear Algebra, Selva di Fasano, Italy, June 14--19},
year = {2020},
url = {https://users.ba.cnr.it//iac/irmanm21/HHXXI/book_of_abstracts_HHXXI0.pdf}
}
@incollection{morGosPGetal25,
author = {Gosea, I.~V. and Peterson, L. and Goyal, P. and Bremer, J. and
Sundmacher, K. and Benner, P.},
title = {Learning reduced-order Quadratic-Linear models in Process
Engineering using Operator Inference},
booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2023},
publisher = {Springer, Cham},
year = 2025,
editor = {Sequeira, A. and Silvestre, A. and Valtchev, S. and Janela,
J.},
volume = 153,
series = lncse,
pages = {365--376},
doi = {10.1007/978-3-031-86173-4_37}
}
@inproceedings{morGosPLetal20a,
author = {Gosea, I.~V. and Petreczky, M. and Leth, J. and Wisniewski, R.
and Antoulas, A.~C.},
title = {Model reduction of linear hybrid systems},
booktitle = {59th {IEEE} Conference on Decision and Control ({CDC}),
December 14--18, Jeju Island, Republic of Korea},
year = 2020,
pages = {110--117},
doi = {10.1109/CDC42340.2020.9303918}
}
@article{morGosZA20,
author = {Gosea, I.~V. and Zhang, Q. and Antoulas, A.~C.},
title = {Preserving the {DAE} Structure in the {L}oewner Model
Reduction and Identification Framework},
journal = advcomputmath,
year = 2020,
volume = 46,
number = 3,
publisher = {Springer},
doi = {10.1007/s10444-020-09752-8}
}
@inproceedings{morGosZA21,
author = {Gosea, I.~V. and Zhang, Q. and Antoulas, A.~C.},
title = {Data-driven modeling from noisy measurements},
booktitle = {Special Issue: 7th GAMM Juniors' Summer School on Applied
Mathematics and Mechanics (SAMM)},
year = {2021},
doi = {10.1002/pamm.202000358}
}
@inproceedings{morGosZKetal23,
author = {Gosea, I.~V. and Zivkovic, L.~A. and Karachalios, D.~S. and
Vidakovic-Koch T. and Antoulas, A.~C.},
title = {A data-driven nonlinear frequency response approach based on
the {L}oewner framework: preliminary analysis},
booktitle = {IFAC-PapersOnLine, 12th Symposium on Nonlinear Control Systems
NOLCOS 2022 Canberra, Australia, January 4-6, 2023},
year = 2023,
volume = 56,
pages = {234--239},
publisher = {Elsevier},
doi = {10.1016/j.ifacol.2023.02.040}
}
@phdthesis{morGoy18,
author = {Goyal, P.~K.},
title = {System-theoretic model order reduction for bilinear and
quadratic-bilinear systems},
school = ovgu,
year = 2018,
type = {{D}issertation},
address = {Magdeburg, Germany},
doi = {10.25673/5319}
}
@inproceedings{morGoyAP15,
author = {Goyal, P. and Ahmad, M.~I. and Benner, P.},
title = {Model reduction of quadratic-bilinear descriptor systems via
{C}arleman bilinearization},
booktitle = {Proc. European Control Conf. 2015, Linz},
year = 2015,
pages = {1177--1182},
publisher = {IEEE},
doi = {10.1109/ECC.2015.7330699}
}
@inproceedings{morGoyB16,
author = {Goyal, P. and Benner, P.},
title = {An iterative model order reduction scheme for a special class
of bilinear descriptor systems appearing in constraint circuit
simulation},
booktitle = {ECCOMAS Congress 2016, VII European Congress on Computational
Methods in Applied Sciences and Engineering},
year = 2016,
volume = 2,
pages = {4196--4212},
url = {https://drive.google.com/open?id=0B04URlVl3wyuVHhMeFVBSldGX2c}
}
@techreport{morGoyB21,
author = {Goyal, P. and Benner, P.},
title = {{LQResNet}: A Deep Neural Network Architecture for Learning
Dynamic Processes},
institution = {arXiv},
year = 2021,
type = {e-print},
number = {2103.02249},
url = {https://arxiv.org/abs/2103.02249},
note = {cs.LG}
}
@techreport{morGoyB21b,
author = {Goyal, P. and Benner, P.},
title = {Learning Dynamics from Noisy Measurements using Deep Learning
with a {R}unge-{K}utta Constraint},
institution = {arXiv},
year = 2021,
type = {e-prints},
number = {2109.11446},
note = {math.LG},
url = {https://arxiv.org/abs/2109.11446}
}
@inproceedings{morGoyB21c,
author = {Goyal, P. and Benner, P.},
title = {Learning Dynamics from Noisy Measurements using Deep Learning
with a {R}unge-{K}utta Constraint},
booktitle = {Proc. The Symbiosis of Deep Learning and Differential
Equations - NeurIPS},
year = {2021},
url = {https://openreview.net/forum?id=G5i2aj7v7i}
}
@techreport{morGoyB21d,
author = {Goyal, P. and Benner, P.},
title = {Learning low-dimensional quadratic-embeddings of high-fidelity
nonlinear dynamics using deep learning},
institution = {arXiv},
year = 2021,
type = {e-print},
number = {2111.12995},
note = {cs.LG},
url = {http://arxiv.org/abs/2111.12995}
}
@article{morGoyB22a,
author = {Goyal, P. and Benner, P.},
title = {Discovery of nonlinear dynamical systems using a
{R}unge-{K}utta inspired dictionary-based sparse regression
approach},
journal = {Philos. Trans. Roy. Soc. A},
year = 2022,
volume = 478,
number = 2262,
pages = 20210883,
doi = {10.1098/rspa.2021.0883}
}
@article{morGoyB23,
author = {Goyal, P. and Benner, P.},
title = {Neural ordinary differential equations with irregular and
noisy data},
journal = {Roy. Soc. Open Sci.},
year = 2023,
volume = 10,
number = 7,
pages = 221475,
doi = {10.1098/rsos.221475}
}
@article{morGoyB24,
author = {Pawan Goyal and Peter Benner},
title = {Generalized quadratic embeddings for nonlinear dynamics using
deep learning},
journal = {Physica D: Nonlinear Phenomena},
year = 2024,
volume = 463,
pages = 134158,
doi = {10.1016/j.physd.2024.134158}
}
@techreport{morGoyPB23a,
author = {Goyal, P. and Pontes Duff, I. and Benner, P.},
title = {Inference of Continuous Linear Systems from Data with
Guaranteed Stability},
institution = {arXiv},
year = 2023,
type = {e-print},
number = {2301.10060},
note = {cs.LG},
doi = {10.48550/arXiv.2301.10060}
}
@techreport{morGoyPB23b,
author = {Goyal, P. and Pontes Duff, I. and Benner, P.},
title = {Guaranteed Stable Quadratic Models and their applications in
{SINDy} and Operator Inference},
institution = {arXiv},
year = 2023,
type = {e-print},
number = {2308.13819},
note = {Submited to Nonlinear Dynamics},
doi = {10.48550/arXiv.2308.13819}
}
@article{morGoyPB24,
author = {Goyal, P. and Peherstorfer, B. and Benner, P.},
title = {Rank-Minimizing and Structured Model Inference},
journal = siamscicomp,
year = 2024,
volume = 46,
number = 3,
pages = {A1879--A1902},
doi = {10.1137/23M1554308}
}
@article{morGoyPB24a,
author = {Goyal, P. and Pontes Duff, I. and Benner, P.},
title = {Dominant Subspaces of High-Fidelity Polynomial Structured
Parametric Dynamical Systems and Model Reduction},
journal = advcomputmath,
year = 2024,
volume = 50,
pages = 42,
doi = {10.1007/s10444-024-10133-8}
}
@article{morGoyR19,
author = {Goyal, P. and Redmann, M.},
title = {Time-limited $\mathcal{H}_2$-optimal model order reduction},
journal = applmathcomp,
volume = {355},
pages = {184--197},
year = {2019},
doi = {10.1016/j.amc.2019.02.065}
}
@article{morGra74,
author = {Gragg, W.~B.},
title = {Matrix interpretations and applications of the continued
fraction algorithm},
journal = {Rocky Mountain J. Math.},
year = 1974,
volume = 4,
pages = {213--225},
booktitle = {Proc. {I}nt. {C}onf. on {P}ad{\'e} {A}pproximants, {C}ontinued
{F}ractions and {R}elated {T}opics ({U}niv. {C}olorado,
{B}oulder, {C}olo., 1972; dedicated to the memory of
{H}. {S}. {W}all)},
fjournal = {The Rocky Mountain Journal of Mathematics},
issn = {0035-7596}
}
@incollection{morGraHV20,
author = {Gr{\"{a}}{\ss}le, C. and Hinze, M. and Volkwein, S.},
title = {Model order reduction by proper orthogonal decomposition},
editor = {Benner, P. and Grivet-Talocia, S. and Quarteroni, A. and
Rozza, G. and Schilders, W.~H.~A. and Silveira, L.~M.},
booktitle = {Model {O}rder {R}eduction. {V}olume 2: {S}napshot-{B}ased
{M}ethods and {A}lgorithms},
publisher = {De~Gruyter},
year = {2020},
address = {Berlin, Boston},
isbn = {9783110671407},
doi = {10.1515/9783110671490}
}
@article{morGraL83,
author = {Gragg, W.~B. and Lindquist, A.},
title = {On the partial realization problem},
journal = linalgapp,
year = 1983,
volume = 50,
pages = {277--319},
doi = {10.1016/0024-3795(83)90059-9},
fjournal = {Linear Algebra and its Applications},
issn = {0024-3795}
}
@article{morGraMQetal16,
author = {Gr{\"{a}}bner, N. and Mehrmann, V. and Quraishi, S. and
Schr{\"{o}}der, C. and von Wagner, U.},
title = {Numerical methods for parametric model reduction in the
simulation of disk brake squeal},
journal = zangewmathmech,
volume = 96,
number = 12,
pages = {1388--1405},
year = {2016},
doi = {10.1002/zamm.201500217}
}
@phdthesis{morGre05,
author = {Grepl, M.},
title = {Reduced-basis approximation a posteriori error estimation for
parabolic partial differential equations},
school = {Massachussetts Institute of Technology (MIT)},
year = 2005,
address = {Cambridge, USA},
url = {http://hdl.handle.net/1721.1/32387}
}
@article{morGre88a,
author = {M. Green},
title = {Balanced stochastic realizations},
journal = linalgapp,
year = 1988,
volume = 98,
pages = {211--247},
doi = {10.1016/0024-3795(88)90166-8}
}
@article{morGre88b,
author = {M. Green},
title = {A relative error bound for balanced stochastic truncation},
journal = ieeetransac,
year = 1988,
volume = 33,
number = 10,
pages = {961--965},
doi = {10.1109/9.7255}
}
@article{morGreLS16,
author = {Grepl, M. and Lohmann, B. and Saak, J.},
title = {Editorial},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {265--266},
doi = {10.1080/13873954.2016.1198390}
}
@article{morGreMNetal07,
author = {Grepl, M.~A. and Maday, Y. and Nguyen, N.~C. and Patera,
A.~T.},
title = {Efficient Reduced-Basis Treatment of Nonaffine and Nonlinear
Partial Differential Equations},
journal = m2an,
year = 2007,
volume = 41,
number = 3,
pages = {575--605}
}
@article{morGreWF05,
author = {Gressick, W. and Wen, J.~T. and Fish, J.},
title = {Order Reduction for Large-Scale Finite Element Models: A
Systems Perspective},
journal = {International Journal for Multiscale Computational
Engineering},
year = 2005,
volume = 3,
number = 3,
pages = {337--362},
doi = {10.1615/IntJMultCompEng.v3.i3.60}
}
@phdthesis{morGri18,
author = {Grimm, A.~R.},
title = {Parametric Dynamical Systems: Transient Analysis and Data
Driven Modeling},
school = vtech,
year = 2018,
url = {http://hdl.handle.net/10919/83840}
}
@phdthesis{morGri97,
author = {E.~J. Grimme},
title = {{K}rylov projection methods for model reduction},
school = {Univ. of Illinois at Urbana-Champaign, USA},
year = 1997,
type = {{Ph.D. Thesis}},
url = {https://perso.uclouvain.be/paul.vandooren/ThesisGrimme.pdf}
}
@article{morGriABetal07,
author = {S. Grivet-Talocia and S. Acquadro and M. Bandinu and
F.~G. Canavero and I. Kelander and M. Rouvala},
title = {A parameterization scheme for lossy transmission line
macromodels with application to high speed interconnects in
mobile devices},
journal = ieeetransemc,
year = 2007,
volume = 49,
number = 1,
pages = {18--24}
}
@book{morGriG15,
editor = {Grivet-Talocia, S. and Gustavsen, B.},
title = {Passive Macromodeling: Theory and Applications},
publisher = {John Wiley and Sons},
year = 2016,
doi = {10.1002/9781119140931},
isbn = {978-1-119-14093-1}
}
@article{morGriG16,
author = {Grivet-Talocia, S. and Gustavsen, B.},
title = {Black-box macromodeling and its {EMC} applications},
journal = {{IEEE} Electroman. Comp. M.},
year = 2016,
volume = 5,
number = 3,
pages = {71--78},
doi = {10.1109/MEMC.0.7764255}
}
@article{morGriSOetal15,
author = {Grivet-Talocia, S. and Signorini, G. and Olivadese, S.~B. and
Siviero, C. and Brenner, P.},
title = {Thermal Noise Compliant Synthesis of Linear Lumped
Macromodels},
journal = ieeetranscpmt,
year = 2015,
volume = 5,
number = 1,
pages = {75--85},
doi = {10.1109/TCPMT.2014.2370096}
}
@article{morGriSV96,
author = {E.~J. Grimme and D.~C. Sorensen and Van~Dooren, P.},
title = {Model reduction of state space systems via an implicitly
restarted {L}anczos method},
journal = numeralg,
year = 1996,
volume = 12,
pages = {1--31}
}
@article{morGruH23,
author = {Grundel, S. and Herty, M.},
title = {Model-order reduction for hyperbolic relaxation systems},
journal = ijnsns,
year = 2023,
volume = 24,
number = 7,
pages = {2763--2780},
fauthor = {Grundel, Sara and Herty, Michael},
publisher = degruyter
}
@incollection{morGruHKetal13,
author = {Grundel, S. and Hornung, N. and Klaassen, B. and Benner,
P. and Clees, T.},
title = {Computing Surrogates for Gas Network Simulation Using Model
Order Reduction},
booktitle = {Surrogate-Based Modeling and Optimization},
publisher = {Springer},
year = 2013,
editor = {Koziel, S. and Leifsson, L.},
pages = {189--212},
address = {New York},
isbn = {978-1-4614-7551-4},
doi = {10.1007/978-1-4614-7551-4_9}
}
@incollection{morGruHR16,
author = {Grundel, S. and Hornung, N. and Roggendorf, S.},
title = {Numerical Aspects of Model Order Reduction for Gas
Transportation Networks},
booktitle = {Simulation-Driven Modeling and Optimization},
publisher = {Springer},
year = 2016,
editor = {Koziel, S. and Leifsson, L. and Yang, X.-S.},
pages = {1--28},
doi = {10.1007/978-3-319-27517-8_1}
}
@article{morGruHS19,
author = {Grundel, S. and Himpe, C. and Saak, J.},
title = {On Empirical System {G}ramians},
journal = pamm,
year = 2019,
volume = 19,
number = 1,
pages = {e201900006},
doi = {10.1002/PAMM.201900006}
}
@inproceedings{morGruJ15,
author = {S. Grundel and L. Jansen},
title = {Efficient simulation of transient gas networks using {IMEX}
integration schemes and {MOR} methods},
booktitle = {54th IEEE Conference on Decision and Control (CDC)},
year = 2015,
pages = {4579--4584},
doi = {10.1109/CDC.2015.7402934}
}
@article{morGruJ15a,
author = {S. Grundel and L. Jansen},
title = {A joint {IMEX-MOR} approach for Water Networks},
journal = {IFAC-PapersOnLine},
year = 2015,
volume = 48,
number = 1,
pages = {260--261},
doi = {10.1016/j.ifacol.2015.05.201}
}
@incollection{morGruJHetal14,
author = {S. Grundel and L. Jansen and N. Hornung and T. Clees and
C. Tischendorf and P. Benner},
title = {Model order reduction of differential algebraic equations
arising from the simulation of gas transport networks},
booktitle = {Progress in Differential-Algebraic Equations},
publisher = {Springer Berlin Heidelberg},
year = 2014,
series = {Differential-Algebraic Equations Forum},
pages = {183--205},
issn = {2199-7497},
isbn = {978-3-662-44925-7},
doi = {10.1007/978-3-662-44926-4_9}
}
@article{morGruS24,
author = {Grundel, S. and Sarna, N.},
title = {Hyper-reduction for parametrized transport dominated problems
via adaptive reduced meshes},
journal = {Partial Differential Equations and Applications},
year = 2024,
volume = 5,
number = 1,
pages = 3,
fauthor = {Grundel, Sara and Sarna, Neeraj},
publisher = {Springer},
doi = {10.1007/s42985-023-00270-y}
}
@incollection{morGruSW19,
author = {Grundel, S. and Sauerteig, P. and Worthmann, K.},
title = {Surrogate Models For Coupled Microgrids},
booktitle = {Progress in Industrial Mathematics at ECMI 2018},
publisher = {Springer},
year = 2019,
pages = {477--483}
}
@inproceedings{morGu09,
author = {C. Gu},
title = {{QLMOR}: A new projection-based approach for nonlinear model
order reduction},
booktitle = iccad,
year = 2009,
pages = {389--396},
month = nov
}
@article{morGu11,
author = {Gu, C.},
title = {{QLMOR}: A projection-based nonlinear model order reduction
approach using quadratic-linear representation of nonlinear
systems},
journal = {IEEE Trans. Comput. Aided Des. Integr. Circuits. Syst.},
year = 2011,
volume = 30,
number = 9,
pages = {1307--1320},
doi = {10.1109/TCAD.2011.2142184}
}
@mastersthesis{morGue08,
author = {R. G{\"{u}}nzel},
title = {Balanced truncation for descriptor systems arising in
interconnect modeling},
school = {Fakult{\"{a}}t f{\"{u}}r Mathematik, TU Chemnitz},
year = 2008,
type = {Diploma Thesis},
address = {Chemnitz},
month = aug
}
@phdthesis{morGug08,
author = {Gugel, D.},
title = {Ordnungsreduktion in der Mikrosystemtechnik},
school = {Technische Universit{\"{a}}t Chemnitz},
year = 2008,
type = {{Ph.D. Thesis}},
address = {Chemnitz}
}
@inproceedings{morGugA00,
author = {S. Gugercin and A.~C. Antoulas},
title = {A comparative study of 7 algorithms for model reduction},
booktitle = {Proc. 39th {IEEE} Conference on Decision and Control,
{S}ydney, {A}ustralia},
year = 2000,
volume = 3,
pages = {2367--2372},
doi = {10.1109/CDC.2000.914153}
}
@inproceedings{morGugA03,
author = {S. Gugercin and A.~C. Antoulas},
title = {A survey of balancing methods for model reduction},
booktitle = {Proc. European Control Conf. ECC~2003, Cambridge, UK},
year = 2003,
note = {CD Rom}
}
@article{morGugA04,
author = {Gugercin, S. and Antoulas, A.~C.},
title = {A survey of model reduction by balanced truncation and some
new results},
journal = intcontrol,
year = 2004,
volume = 77,
number = 8,
pages = {748--766},
doi = {10.1080/00207170410001713448}
}
@article{morGugA06,
author = {S. Gugercin and A.~C. Antoulas},
title = {Model reduction of large-scale systems by least squares},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {290--321}
}
@article{morGugAB08,
author = {Gugercin, S. and Antoulas, A.~C. and Beattie, C.},
title = {{$\mathcal{H}_2$} Model Reduction for Large-Scale Linear
Dynamical Systems},
journal = siammatrix,
year = 2008,
volume = 30,
number = 2,
pages = {609--638},
doi = {10.1137/060666123}
}
@inproceedings{morGugL05,
author = {S. Gugercin and J.-R. Li},
title = {Smith-type methods for balanced truncation of large systems},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {P. Benner and V. Mehrmann and D. Sorensen},
volume = 45,
series = lncse,
pages = {49--82},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany}
}
@article{morGugPBetal12,
author = {Gugercin, S. and Polyuga, R.~V. and Beattie, C. and van~der
Schaft, A.},
title = {Structure-preserving tangential interpolation for model
reduction of port-{H}amiltonian systems},
journal = automatica,
year = 2012,
volume = 48,
number = 9,
pages = {1963--1974},
doi = {10.1016/j.automatica.2012.05.052}
}
@article{morGugSW13,
author = {Gugercin, S. and Stykel, T. and Wyatt, S.},
title = {Model Reduction of Descriptor Systems by Interpolatory
Projection Methods},
journal = siamscicomp,
year = 2013,
volume = 35,
number = 5,
pages = {B1010--B1033},
doi = {10.1137/130906635}
}
@article{morGuiO13,
author = {Guiver, C. and Opmeer, M.~R.},
title = {Error bounds in the gap metric for dissipative balanced
approximations},
journal = linalgapp,
year = 2013,
volume = 439,
number = 12,
pages = {3659--3698},
doi = {10.1016/j.laa.2013.09.032}
}
@article{morGunKN02,
author = {P.K. Gunupudi and R. Khazaka and M.S. Nakhla},
title = {Analysis of Transmission Line Circuits Using Multidimensional
Model Reduction Techniques},
journal = ieeetransap,
year = 2002,
volume = 25,
number = 2,
pages = {174--180}
}
@article{morGunKetal03,
author = {Gunupudi, P.~K. and Khazaka, R. and Nakhla, M.~S. and Smy,
T. and Celo, D.},
title = {Passive parameterized time-domain macromodels for high-speed
transmission-line networks},
journal = ieeetransmtt,
year = 2003,
volume = 51,
number = 12,
pages = {2347--2354},
month = dec,
doi = {10.1109/TMTT.2003.820169},
issn = {0018-9480}
}
@article{morGusS99,
author = {Gustavsen, B. and Semlyen, A.},
title = {Rational approximation of frequency domain responses by vector
fitting},
journal = ieeetranspd,
year = 1999,
volume = 14,
number = 3,
pages = {1052--1061},
doi = {10.1109/61.772353}
}
@article{morGuy65,
author = {Guyan, R.~J.},
title = {Reduction of stiffness and mass matrices},
journal = aiaa,
year = 1965,
volume = 2,
pages = 380,
doi = {10.2514/3.2874}
}
@article{morHaa13,
author = {B. Haasdonk},
title = {Convergence Rates of the {POD-Greedy} method},
journal = m2an,
year = 2013,
volume = 47,
number = 3,
pages = {859--873}
}
@incollection{morHaa17,
author = {Haasdonk, B.},
title = {Reduced Basis Methods for Parametrized {PDE}s---A Tutorial
Introduction for Stationary and Instationary Problems},
booktitle = {Model Reduction and Approximation: Theory and Algorithms},
publisher = {SIAM},
year = 2017,
editor = {Benner, P. and Cohen, A. and Ohlberger, M. and Willcox, K.},
pages = {65--136},
doi = {10.1137/1.9781611974829.ch2}
}
@article{morHaaDO11,
author = {Haasdonk, B. and Dihlmann, M. and Ohlberger, M.},
title = {A Training Set and Multiple Basis Generation Approach for
Parametrized Model Reduction Based on Adaptive Grids in
Parameter Space},
journal = mcmds,
year = 2011,
volume = 17,
number = 4,
pages = {423--442}
}
@inproceedings{morHaaO08,
author = {Haasdonk, B. and Ohlberger, M.},
title = {Adaptive basis enrichment for the reduced basis method applied
to finite volume schemes},
booktitle = {Proc. 5th International Symposium on Finite Volumes for
Complex Applications},
year = 2008,
pages = {471--478}
}
@article{morHaaO08a,
author = {Haasdonk, B. and Ohlberger, M. and Rozza, G.},
title = {A Reduced Basis Method for Evolution Schemes with
Parameter-Dependent Explicit Operators},
journal = etna,
year = 2008,
volume = 32,
pages = {145--168}
}
@article{morHaaO08b,
author = {Haasdonk, B. and Ohlberger, M.},
title = {Reduced basis method for finite volume approximations of
parametrized linear evolution equations},
journal = m2an,
year = 2008,
volume = 42,
number = 2,
pages = {277--302},
fjournal = {M2AN. Mathematical Modelling and Numerical Analysis},
issn = {0764-583X}
}
@inproceedings{morHaaO09,
author = {B. Haasdonk and M. Ohlberger},
title = {Efficient Reduced Models for Parametrized Dynamical Systems by
Offline/Online Decomposition},
booktitle = {Proc. MATHMOD 2009, 6th Vienna International Conference on
Mathematical Modelling},
year = 2009
}
@article{morHaaO11,
author = {Haasdonk, B. and Ohlberger, M.},
title = {Efficient Reduced Models and A-Posteriori Error Estimation for
Parametrized Dynamical Systems by Offline/Online
Decomposition},
journal = mcmds,
year = 2011,
volume = 17,
number = 2,
pages = {145--161}
}
@article{morHagBRetal07,
author = {Hagleitner, C. and Bonaccio, T. and Rothuizen, H. and
Lienemann, J. and Wiesmann, D. and Cherubini, G. and Korvink,
J.~G. and Eleftheriou, E.},
title = {Modeling, Design, and Verification for the Analog Front-End of
a {MEMS}-Based Parallel Scanning-Probe Storage Device},
journal = ieeessc,
year = 2007,
volume = 42,
number = 8,
pages = {1779--1789},
publisher = {IEEE}
}
@inproceedings{morHahE00,
author = {Hahn, J. and Edgar, T.~F.},
title = {Reduction of nonlinear models using balancing of empirical
{G}ramians and {G}alerkin projections},
booktitle = {Proc. Am. Control. Conf.},
year = 2000,
volume = 4,
pages = {2864--2868},
doi = {10.1109/ACC.2000.878734}
}
@article{morHahE01,
author = {Hahn, J. and Edgar, T.~F.},
title = {A Gramian Based Approach to Nonlinearity Quantification and
Model Classification},
journal = {Ind. Eng. Chem. Res.},
year = 2001,
volume = 40,
number = 24,
pages = {5724--5731},
doi = {10.1021/ie010155v}
}
@article{morHahE02,
author = {Hahn, J. and Edgar, T.~F.},
title = {Balancing Approach to Minimal Realization and Model Reduction
of Stable Nonlinear Systems},
journal = {Ind. Eng. Chem. Res.},
year = 2002,
volume = 41,
number = 9,
pages = {2204--2212},
doi = {10.1021/ie0106175}
}
@article{morHahE02a,
author = {Hahn, J. and Edgar, T.~F.},
title = {An improved method for nonlinear model reduction using
balancing of empirical {G}ramians},
journal = {Comput. Chem. Eng.},
year = 2002,
volume = 26,
number = 10,
pages = {1379--1397},
doi = {10.1016/S0098-1354(02)00120-5}
}
@article{morHahEM03,
author = {Hahn, J. and Edgar, T.~F. and Marquardt, W.},
title = {Controllability and observability covariance matrices for the
analysis and order reduction of stable nonlinear systems},
journal = {J. Process Control},
year = 2003,
volume = 13,
number = 2,
pages = {115--127},
doi = {10.1016/S0959-1524(02)00024-0}
}
@article{morHahKE02,
author = {Hahn, J. and Kruger, U. and Edgar, T.~F.},
title = {Application of Model Reduction for Model Predictive Control},
journal = {IFAC Proceedings Volume (Proceedings of the 15th IFAC World
Congress)},
year = 2002,
volume = 15,
number = 1,
pages = {393--398},
doi = {10.3182/20020721-6-ES-1901.00634}
}
@article{morHaiGIetal17,
author = {Haider, K. and Ghafoor, A. and Imran, M. and Malik, F.~M.},
title = {Model reduction of large scale descriptor systems using time
limited {G}ramians},
journal = {Asian J. Control},
year = 2017,
volume = 19,
number = 3,
pages = {1217--1227},
doi = {10.1002/asjc.1444}
}
@article{morHaiGIetal18,
author = {Haider, K. and Ghafoor, A. and Imran, M. and Malik, F.~M.},
title = {Frequency interval {G}ramians based structure preserving model
reduction for second-order systems},
journal = {Asian J. Control},
year = 2018,
volume = 20,
number = 2,
pages = {790--801},
doi = {10.1002/asjc.1598}
}
@article{morHaiGIetal19,
author = {Haider, K. and Ghafoor, A. and Imran, M. and Malik, F.~M.},
title = {Time-limited {G}ramian-based model order reduction for
second-order form systems},
journal = {Trans. Inst. Meas. Control},
year = 2019,
volume = 41,
number = 8,
pages = {2310--2318},
doi = {10.1177/0142331218798893}
}
@incollection{morHarHW18,
author = {Hartmann, D. and Herz, M. and Wever, U.},
title = {Model Order Reduction a Key Technology for Digital Twins},
booktitle = {Reduced-Order Modeling ({ROM}) for Simulation and
Optimization},
publisher = {Springer, Cham},
year = 2018,
editor = {Keiper, W. and Milde, A. and Volkwein, S.},
pages = {167--179},
doi = {10.1007/978-3-319-75319-5_8}
}
@article{morHarVS10,
author = {Hartmann, C. and Vulcanov, V.-M. and
Sch{\"{u}}tte, C.},
title = {Balanced truncation of linear second-order systems: a
{H}amiltonian approach},
journal = {Multiscale Model. Simul.},
year = 2010,
volume = 8,
number = 4,
pages = {1348--1367},
issn = {1540-3459},
doi = {10.1137/080732717}
}
@article{morHecAV05,
author = {Heckmann, A. and Arnold, M. and Vacul{\'I}n, O.},
title = {A Modal Multifield Approach for an Extended Flexible Body
Description in Multibody Dynamics},
journal = {Multibody System Dynamics},
year = 2005,
volume = 13,
number = 3,
pages = {299--322},
publisher = springer
}
@article{morHeiBB22,
author = {Heiland, J and Benner, P. and Bahmani, R},
title = {Convolutional Neural Networks for Very Low-Dimensional {LPV}
Approximations of Incompressible {N}avier-{S}tokes Equations},
journal = {Frontiers Appl. Math. Stat.},
year = 2022,
volume = 8,
pages = 879140,
doi = {10.3389/fams.2022.879140}
}
@inproceedings{morHeiGRetal25,
author = {Heiland, J. and Gosea, I.~V. and R{\"{o}}mer, U. and
Pradovera, D. and Sreekumar, H. and Langer, S.},
title = {Adaptive Rational Interpolation and Higher-order {SVD} for
Low-rank Tensor Approximation in Structural Dynamics
Simulations},
booktitle = {23rd European Control Conference ({ECC}), June 24--27,
Thessaloniki, Greece},
year = 2025,
pages = {3213--3218},
doi = {10.23919/ECC65951.2025.11186909}
}
@article{morHeiK22,
author = {Heiland, J. and Kim, Y.},
title = {Convolutional Autoencoders and Clustering for Low-dimensional
Parametrization of Incompressible Flows},
journal = {IFAC-PapersOnLine},
year = 2022,
volume = 55,
number = 30,
pages = {430--435},
note = {25th IFAC Symposium on Mathematical Theory of Networks and
Systems MTNS 2022},
doi = {10.1016/j.ifacol.2022.11.091},
issn = {2405-8963},
url = {https://www.sciencedirect.com/science/article/pii/S2405896322027240}
}
@article{morHeiK24,
author = {Heiland, J. and Kim, Y.},
title = {Convolutional autoencoders, clustering, and {POD} for
low-dimensional parametrization of flow equations},
journal = camwa,
year = 2024,
volume = 175,
pages = {49--61},
issn = {0898-1221},
doi = {10.1016/j.camwa.2024.08.032}
}
@techreport{morHeiK24a,
author = {Heiland, J. and Kim, Y.},
title = {Polytopic Autoencoders with Smooth Clustering for
Reduced-order Modelling of Flows},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2401.10620},
note = {cs.LG}
}
@article{morHeiK25,
author = {Heiland, J. and Kim, Y.},
fauthor = {Heiland, Jan and Kim, Yongho},
title = {Polytopic Autoencoders with Smooth Clustering for
Reduced-order Modeling of Flows},
journal = {J. Comput. Phys.},
year = 2025,
volume = 521,
pages = 113526,
doi = {10.1016/j.jcp.2024.113526}
}
@article{morHeiK25a,
author = {Heiland, J. and Kim, Y.},
fauthor = {Heiland, Jan and Kim, Yongho},
title = {Polytopic Autoencoders for Very Low-Dimensional
Parametrizations of Fluid Flow Models},
journal = pamm,
year = 2025,
volume = 25,
number = 2,
pages = {e70008},
note = {94th GAMM Annual Meeting},
doi = {10.1002/pamm.70008}
}
@techreport{morHeiKW24,
author = {Heiland, J. and Kim, Y. and Werner, S.~W.~R.},
title = {Deep Polytopic Autoencoders for Low-dimensional Linear
Parameter-varying Approximations and Nonlinear Feedback
Design},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2403.18044},
note = {submitted to IEEE-LCSS},
doi = {10.48550/arXiv.2403.18044}
}
@article{morHeiKW25,
author = {Heiland, J. and Kim, Y. and Werner, S.~W.~R.},
title = {Deep Polytopic Autoencoders for Low-dimensional Linear
Parameter-varying Approximations and Nonlinear Feedback
Controller Design},
journal = advcomputmath,
year = 2025,
volume = 51,
number = 6,
pages = {Paper No. 55},
doi = {10.1007/s10444-025-10269-1}
}
@article{morHeiRA11,
author = {Heinkenschloss, M. and Reis, T. and Antoulas, A.~C.},
title = {Balanced truncation model reduction for systems with
inhomogeneous initial conditions},
journal = automatica,
year = 2011,
volume = 47,
number = 3,
pages = {559--564},
doi = {10.1016/j.automatica.2010.12.002}
}
@article{morHeiSS08,
author = {M. Heinkenschloss and D.~C. Sorensen and K. Sun},
title = {Balanced truncation model reduction for a class of descriptor
systems with application to the {O}seen equations},
journal = siamscicomp,
year = 2008,
volume = 30,
number = 2,
pages = {1038--1063},
doi = {10.1137/070681910}
}
@techreport{morHeiU21,
author = {Heiland, J. and Unger, B.},
title = {Identification of linear time-invariant systems with {D}ynamic
{M}ode {D}ecomposition},
institution = {arXiv},
year = 2021,
type = {e-print},
number = {2109.06765},
note = {math.NA},
url = {http://arxiv.org/abs/2109.06765}
}
@article{morHeiW23,
author = {Heiland, J. and Werner, S.~W.~R.},
title = {Low-Complexity Linear Parameter-Varying Approximations of
Incompressible {N}avier-{S}tokes Equations for Truncated
State-Dependent {R}iccati Feedback},
journal = ieeecontsyslett,
year = 2023,
volume = 7,
pages = {3012--3017},
doi = {10.1109/LCSYS.2023.3291231}
}
@phdthesis{morHes16,
author = {Hess, M.},
title = {Reduced Basis Approximations for Electromagnetic Applications},
school = ovgu,
year = 2016,
type = {{D}issertation},
address = {Magdeburg, Germany},
url = {https://d-nb.info/1113687223/34}
}
@article{morHesB13,
author = {M.~W. Hess and P. Benner},
title = {Fast Evaluation of Time-Harmonic {M}axwell's Equations Using
the Reduced Basis Method},
journal = ieeetransmtt,
year = 2013,
volume = 61,
number = 6,
pages = {2265--2274},
doi = {10.1109/TMTT.2013.2258167}
}
@inproceedings{morHesB13a,
author = {M.~W. Hess and P. Benner},
title = {Reduced Basis Generation for {M}axwell's Equations by Rigorous
Error Estimation},
booktitle = {Proceedings of 19th International Conference on the
Computation of Electromagnetic Fields (COMPUMAG 2013), Paper
PD2-10 (2 pp.)},
year = 2013,
url = {http://www.mht.bme.hu/~bilicz/compumag2013/files/pd2-10.pdf}
}
@article{morHesB14,
author = {M.~W. Hess and P. Benner},
title = {A Reduced Basis Method for Microwave Semiconductor Devices
with Geometric Variations},
journal = {COMPEL - The International Journal for Computation and
Mathematics in Electrical and Electronic Engineering},
year = 2014,
volume = 33,
number = 4,
pages = {1071--1081},
doi = {10.1108/COMPEL-12-2012-0377}
}
@article{morHesGB15,
author = {M.~W. Hess and S. Grundel and P. Benner},
title = {Estimating the Inf-Sup Constant in Reduced Basis Methods for
Time-Harmonic {M}axwell's Equations},
journal = ieeetransmtt,
year = 2015,
volume = 63,
number = 11,
pages = {3549--3557},
publisher = {IEEE}
}
@book{morHesRS16,
author = {Hesthaven, J.~S. and Rozza, G. and Stamm, B.},
title = {Certified {R}educed {B}asis {M}ethods for {P}arametrized
{P}artial {D}ifferential {E}quations},
publisher = {Springer},
year = 2016,
series = {SpringerBriefs in Mathematics},
address = {Cham},
isbn = {978-3-319-22469-5},
doi = {10.1007/978-3-319-22470-1}
}
@article{morHesSZ14,
author = {Hesthaven, J.~S. and Stamm, B. and Zhang, S.},
title = {Efficient greedy algorithms for high-dimensional parameter
spaces with applications to empirical interpolation and
reduced basis methods},
journal = {ESAIM: Math. Model. Numer. Anal.},
year = 2014,
volume = 48,
number = 1,
pages = {259--283},
doi = {10.1051/m2an/2013100}
}
@inproceedings{morHicSHetal25,
author = {Hickisch, P. and Saak, J. and Hohlfeld, D. and Bechtold, T.},
title = {Two-step Model Order Reduction for a Thermal Finite Element
Model of a Power Electronics Module},
booktitle = {11th Vienna International Conference on Mathematical Modelling
MATHMOD 2025},
year = 2025,
volume = 59,
pages = {379--384},
address = {Vienna, Austria},
note = {11th Vienna International Conference on Mathematical Modelling
MATHMOD 2025},
fauthor = {Hickisch, Philipp and Saak, Jens and Hohlfeld, Dennis and
Bechtold, Tamara},
doi = {10.1016/j.ifacol.2025.03.065},
journal = {{IFAC PapersOnline}}
}
@misc{morHim16a,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.0)},
howpublished = {\url{http://gramian.de}},
year = 2016,
key = {emgr50},
doi = {10.5281/zenodo.162135}
}
@phdthesis{morHim17,
author = {Himpe, C.},
title = {Combined State and Parameter Reduction for Nonlinear Systems
with an Application in Neuroscience},
school = {Westf{\"{a}}lische Wilhelms-Universit{\"{a}}t M{\"{u}}nster},
year = 2017,
note = {Sierke Verlag G{\"{o}}ttingen, ISBN 9783868448818},
doi = {10.14626/9783868448818}
}
@misc{morHim17a,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.1)},
howpublished = {\url{http://gramian.de}},
year = 2017,
key = {emgr51},
doi = {10.5281/zenodo.580804}
}
@misc{morHim17b,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.2)},
howpublished = {\url{http://gramian.de}},
year = 2017,
key = {emgr52},
doi = {10.5281/zenodo.837237}
}
@misc{morHim18,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.3)},
howpublished = {\url{http://gramian.de}},
year = 2018,
key = {emgr53},
doi = {10.5281/zenodo.1134429}
}
@misc{morHim18a,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.4)},
howpublished = {\url{http://gramian.de}},
year = 2018,
key = {emgr54},
doi = {10.5281/zenodo.1241532}
}
@article{morHim18b,
author = {Himpe, C.},
title = {emgr -- The {E}mpirical {G}ramian {F}ramework},
journal = {Algorithms},
year = 2018,
volume = 11,
number = 7,
pages = 91,
doi = {10.3390/a11070091}
}
@misc{morHim18c,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.5)},
howpublished = {\url{https://gramian.de}},
year = 2018,
key = {emgr55},
doi = {10.5281/zenodo.1401500}
}
@misc{morHim19,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.6)},
howpublished = {\url{https://gramian.de}},
year = 2019,
key = {emgr56},
doi = {10.5281/zenodo.2530021}
}
@misc{morHim19a,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.7)},
howpublished = {\url{https://gramian.de}},
year = 2019,
key = {emgr57},
doi = {10.5281/zenodo.2577980}
}
@misc{morHim20a,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.8)},
howpublished = {\url{https://gramian.de}},
year = 2020,
key = {emgr58},
doi = {10.5281/zenodo.3779889}
}
@incollection{morHim21,
author = {Himpe, C.},
title = {Comparing (Empirical-{G}ramian-Based) Model Order Reduction
Algorithms},
booktitle = {Model Reduction of Complex Dynamical Systems},
publisher = {Birkh{\"{a}}user, Cham},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
series = {International Series of Numerical Mathematics},
volume = {171},
year = 2021,
pages = {141--164},
doi = {10.1007/978-3-030-72983-7_7}
}
@misc{morHim21a,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.9)},
howpublished = {\url{https://gramian.de}},
year = 2021,
key = {emgr59},
doi = {10.5281/zenodo.4454679}
}
@misc{morHim22,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework (Version~5.99)},
howpublished = {\url{https://gramian.de}},
year = 2022,
key = {emgr599},
doi = {10.5281/zenodo.6457616}
}
@techreport{morHim22a,
author = {Himpe, C.},
title = {{emgr -- EMpirical GRamian} Framework Version~5.99},
institution = {arXiv},
year = 2022,
type = {e-print},
number = {2209.03833},
url = {https://arxiv.org/abs/2209.03833}
}
@article{morHimGB21a,
author = {Himpe, C. and Grundel, S. and Benner, P.},
title = {Model Order Reduction for Gas and Energy Networks},
journal = {Journal of Mathematics in Industry},
volume = {11},
pages = {13},
year = {2021},
doi = {10.1186/s13362-021-00109-4}
}
@inproceedings{morHimGB21b,
author = {Himpe, C. and Grundel, S. and Benner, P.},
title = {Next-Gen Gas Network Simulation},
booktitle = {Progress in Industrial Mathematics at ECMI 2021},
editor = {},
pages = {(Accepted)},
year = 2021,
doi = {}
}
@incollection{morHimGB22,
author = {Himpe, C. and Grundel, S. and Benner, P.},
title = {Efficient Gas Network Simulations},
booktitle = {German Success Stories in Industrial Mathematics},
editor = {Bock, H.~G. and K{\"{u}}fer, K.~H. and Maa{\ss}, P. and
Milde, A. and Schulz, V.},
series = {Mathematics in Industry},
volume = {35},
publisher = {Springer, Cham},
pages = {17--22},
year = {2022},
doi = {10.1007/978-3-030-81455-7_4}
}
@inproceedings{morHimLR17,
author = {Himpe, C. and Leibner, T. and Rave, S.},
title = {Comprehensive Memory-Bound Simulations on Single Board
Computers},
booktitle = {Book of Abstracts of 2nd Workshop on Power-Aware Computing},
year = 2017,
address = {Ringberg Castle},
url = {http://hdl.handle.net/21.11116/0000-0000-781E-9}
}
@inproceedings{morHimLR18,
author = {Himpe, C. and Leibner, T. and Rave, S.},
title = {{HAPOD} - Fast, Simple and Reliable Distributed {POD}
Computation},
booktitle = {ARGESIM Report (MATHMOD 2018 Extended Abstract Volume)},
year = 2018,
volume = 55,
pages = {119--120},
doi = {10.11128/arep.55.a55283}
}
@article{morHimLR18a,
author = {Himpe, C. and Leibner, T. and Rave, S.},
title = {Hierarchical Approximate Proper Orthogonal Decomposition},
journal = siamscicomp,
year = 2018,
volume = 40,
number = 5,
pages = {A3267--A3292},
doi = {10.1137/16M1085413}
}
@article{morHimLRetal17,
author = {Himpe, C. and Leibner, T. and Rave, S. and Saak, J.},
title = {Fast Low-Rank Empirical Cross {G}ramians},
journal = pamm,
year = 2017,
volume = 17,
number = 1,
pages = {841--842},
doi = {10.1002/pamm.201710388}
}
@article{morHimO13,
author = {Himpe, C. and Ohlberger, M.},
title = {A Unified Software Framework for Empirical {G}ramians},
journal = {J. Math.},
year = 2013,
volume = 2013,
pages = {1--6},
doi = {10.1155/2013/365909}
}
@article{morHimO14,
author = {Himpe, C. and Ohlberger, M.},
title = {Cross-{G}ramian Based Combined State and Parameter Reduction
for Large-Scale Control Systems},
journal = {Mathematical Problems in Engineering},
year = 2014,
volume = 2014,
pages = 843869,
doi = {10.1155/2014/843869}
}
@inproceedings{morHimO14a,
author = {Himpe, C. and Ohlberger, M.},
title = {Model Reduction for Complex Hyperbolic Networks},
booktitle = {Proc. Eur. Control Conf.},
year = 2014,
pages = {2739--2743},
doi = {10.1109/ECC.2014.6862188}
}
@article{morHimO14b,
author = {C. Himpe and M. Ohlberger},
title = {Combined State and Parameter Reduction},
journal = pamm,
year = 2014,
volume = 14,
number = 1,
pages = {825--826},
doi = {10.1002/pamm.201410393}
}
@inproceedings{morHimO15,
author = {Himpe, C. and Ohlberger, M.},
title = {The Versatile Cross {G}ramian},
booktitle = {ScienceOpen Posters},
year = 2015,
volume = {MoRePas 3},
doi = {10.14293/P2199-8442.1.SOP-MATH.PSAHPZ.v1}
}
@article{morHimO15a,
author = {Himpe, C. and Ohlberger, M.},
title = {The Empirical Cross {G}ramian for Parametrized Nonlinear
Systems},
journal = {IFAC-PapersOnLine (Proceedings of the 8th Vienna International
Conference on Mathematical Modelling)},
year = 2015,
volume = 48,
number = 1,
pages = {727--728},
doi = {10.1016/j.ifacol.2015.05.163}
}
@techreport{morHimO15b,
author = {Himpe, C. and Ohlberger, M.},
title = {Accelerating the Computation of Empirical {G}ramians and
Related Methods},
institution = {Extended Abstract 5th IWMRRF},
year = 2015,
doi = {10.5281/zenodo.46643}
}
@article{morHimO15c,
author = {Himpe, C. and Ohlberger, M.},
title = {Data-driven combined state and parameter reduction for inverse
problems},
journal = advcomputmath,
year = 2015,
volume = 41,
number = 5,
pages = {1343--1364},
doi = {10.1007/s10444-015-9420-5}
}
@article{morHimO16,
author = {Himpe, C. and Ohlberger, M.},
title = {A note on the cross {G}ramian for non-symmetric systems},
journal = {Systems Science and Control Engineering},
year = 2016,
volume = 4,
number = 1,
pages = {199--208},
doi = {10.1080/21642583.2016.1215273}
}
@incollection{morHimO17,
author = {Himpe, C. and Ohlberger, M.},
title = {Cross-{G}ramian-Based Model Reduction: A Comparison},
booktitle = {Model Reduction of Parametrized Systems},
publisher = {Springer},
year = 2017,
editor = {Benner, P. and Ohlberger, M. and Patera, A. and Rozza, G. and
Urban, K.},
volume = 17,
series = {Modeling, Simulation and Applications},
pages = {271--283},
address = {Cham},
doi = {10.1007/978-3-319-58786-8_17}
}
@misc{morHimR19,
author = {Himpe, C. and Rave, S.},
title = {{hapod} -- {H}ierarchical {A}pproximate {P}roper {O}rthogonal
{D}ecomposition (Version~2.0)},
howpublished = {\url{https://git.io/hapod}},
year = 2019,
key = {hapod20}
}
@misc{morHimR20,
author = {Himpe, C. and Rave, S.},
title = {{hapod} -- {H}ierarchical {A}pproximate {P}roper {O}rthogonal
{D}ecomposition (Version~3.0)},
howpublished = {\url{https://git.io/hapod}},
year = 2020,
key = {hapod30}
}
@misc{morHimR20a,
author = {Himpe, C. and Rave, S.},
title = {{hapod} -- {H}ierarchical {A}pproximate {P}roper {O}rthogonal
{D}ecomposition (Version~3.1)},
howpublished = {\url{https://git.io/hapod}},
year = 2020,
key = {hapod31}
}
@misc{morHimR21,
author = {Himpe, C. and Rave, S.},
title = {{hapod} -- {H}ierarchical {A}pproximate {P}roper {O}rthogonal
{D}ecomposition (Version~3.2)},
howpublished = {\url{https://git.io/hapod}},
year = 2021,
key = {hapod32}
}
@incollection{morHinKMetal17,
author = {Hinze, M. and Kunkel, M. and Matthes, U. and Vierling, M.},
title = {Model Order Reduction of Integrated Circuits in Electrical
Networks},
booktitle = {System Reduction for Nanoscale {IC} Design},
publisher = {Springer},
year = 2017,
editor = {Benner, P.},
volume = 20,
series = {Mathematics in Industry},
pages = {1--37},
address = {Cham},
doi = {978-3-319-07236-4_1}
}
@inproceedings{morHinV05,
author = {M. Hinze and S. Volkwein},
title = {Proper Orthogonal Decomposition Surrogate Models for Nonlinear
Dynamical Systems: Error Estimates and Suboptimal Control},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
volume = 45,
series = lncse,
pages = {261--306},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany}
}
@article{morHinV08,
author = {Hinze, M. and Volkwein, S.},
title = {Error estimates for abstract linear-quadratic optimal control
problems using proper orthogonal decomposition},
journal = {Comput. Optim. Appl.},
year = 2008,
volume = 39,
number = 3,
pages = {319--345},
fjournal = {Computational Optimization and Applications. An International
Journal},
issn = {0926-6003}
}
@inproceedings{morHipAS05,
author = {Hippmann, G. and Arnold, M. and Schittenhelm, M.},
title = {Efficient simulation of bush and roller chain drives},
booktitle = {Proceedings of Multibody Dynamics 2005 (ECCOMAS Thematic
Conference), Madrid, Spain, 21-24 June},
year = 2005,
editor = {Cuadrado, J. and Orden, J.~C.~G. and Goicolea, J.~M.}
}
@article{morHirHKetal20,
author = {Hirsch, S.~M. and Harris, K.~D. and Kutz, J.~N. and Brunton,
B.~W.},
title = {Centering Data Improves the Dynamic Mode Decomposition},
journal = siamappdynsys,
volume = {19},
number = {3},
pages = {1920--1955},
year = {2020},
doi = {10.1137/19M1289881}
}
@phdthesis{morHoc00,
author = {Hockenberry, J.~R.},
title = {Evaluation of uncertainty in dynamic reduced-order power
system models},
school = {Massachusetts Institute of Technology},
year = {2000},
url = {http://hdl.handle.net/1721.1/46685}
}
@article{morHocL04,
author = {Hockenberry, J.~R. and Lesieutre, B.~C.},
title = {Evaluation of uncertainty in dynamic simulations of power
system models: The probabilistic collocation method},
journal = {IEEE Transactions on Power Systems},
year = {2004},
volume = {19},
number = {3},
pages = {1483--1491},
doi = {10.1109/TPWRS.2004.831689}
}
@incollection{morHocVRetal13,
author = {A. Hochman and D.~M. Vasilyev and M.~J. Rewie{\'n}ski and
J.~K. White},
title = {Projection-based nonlinear model order reduction},
booktitle = {System-Level Modeling of {MEMS}},
publisher = wileyvch,
year = 2013,
editor = {T. Bechtold and G. Schrag and L. Feng},
series = {Advanced Micro {\&} Nanosystems},
vol = 10,
isbn = {978-3-527-31903-9}
}
@inproceedings{morHof02,
author = {Hofer, A.},
title = {Controller Reduction in l1-optimal Control},
booktitle = {Proceedings of the 20th American Control Conference,
Anchorage},
year = 2002,
pages = {1162--1167}
}
@inproceedings{morHof06,
author = {Hofer, A.},
title = {A Special Method for Controller Reduction},
booktitle = {Proceedings of the 5th MATHMOD Vienna Symposium on
Mathematical Modelling},
year = 2006
}
@article{morHof08,
author = {Hofer, A.},
title = {Two controller reduction methods based on convex programming},
journal = mcmds,
year = 2008,
volume = 14,
number = 5,
pages = {451--468},
annote = {Taylor and Francis}
}
@article{morHohZ04,
author = {Hohlfeld, D. and Zappe, H.},
title = {An all-dielectric tunable optical filter based on the
thermo-optic effect},
journal = {Journal of Optics A: Pure and Applied Optics},
year = 2004,
volume = 6,
number = 6,
pages = {504--511},
doi = {10.1088/1464-4258/6/6/002}
}
@book{morHolLB96,
author = {Holmes, P. and Lumley, J.~L. and Berkooz, G.},
title = {Turbulence, coherent structures, dynamical systems and
symmetry},
publisher = {Cambridge University Press},
year = 1996,
series = {Cambridge Monographs on Mechanics},
address = {Cambridge},
pages = {xviii+420},
isbn = 0521551420
}
@book{morHolLBetal12,
author = {Holmes, P. and Lumley, J.~L. and Berkooz, G. and Rowley,
C.~W.},
title = {Turbulence, coherent structures, dynamical systems and
symmetry},
publisher = {Cambridge University Press},
year = 2012,
series = {Cambridge Monographs on Mechanics},
address = {Cambridge},
pages = 402,
doi = {10.1017/CBO9780511919701},
isbn = 9781107008250
}
@article{morHomPS05,
author = {C. Homescu and L.~R. Petzold and R. Serban},
title = {Error estimation for reduced order models of dynamical
systems},
journal = siamnumanal,
year = 2005,
volume = 43,
number = 4,
pages = {1693--1714},
doi = {10.1137/040603541}
}
@article{morHorDFetal06,
author = {Horenko, I. and Dittmer, E. and Fischer, A. and Sch{\"{u}}tte, C.},
title = {Automated model reduction for complex systems exhibiting
metastability},
journal = {Multiscale Model. Simul.},
year = 2006,
volume = 5,
number = 3,
pages = {802--827 (electronic)},
fjournal = {Multiscale Modeling \& Simulation. A SIAM Interdisciplinary
Journal},
issn = {1540-3459}
}
@article{morHosB08,
author = {M.-S. Hossain and P. Benner},
title = {Projection-Based Model Reduction for {LTV} Descriptor System
Using Multipoint {K}rylov-Subspace Projectors},
journal = pamm,
year = 2008,
volume = 8,
number = 1,
pages = {10081--10084},
month = dec,
organization = {GAMM}
}
@inproceedings{morHosB12,
author = {Hossain, M.-S. and Benner, P.},
title = {Iterative solvers for periodic matrix equations and model
reduction for periodic control systems},
booktitle = {7th International Conference on Electrical and Computer
Engineering},
year = 2012,
pages = {791--794},
publisher = {IEEE},
isbn = {978-1-4673-1436-7},
doi = {10.1109/ICECE.2012.6471669}
}
@inproceedings{morHosB14,
author = {M.-S. Hossain and P. Benner},
title = {Generalized inverses of periodic matrix pairs and model
reduction for periodic control systems},
booktitle = {Proc. of 1st International Conference on Electrical
Engineering and Information \& Communication Technology
(ICEEICT)},
year = 2014,
pages = {1--6},
address = {Dhaka, Bangladesh},
publisher = {IEEE},
isbn = {978-1-4799-4820-8},
doi = {10.1109/ICEEICT.2014.6919033}
}
@inproceedings{morHsuDC83,
author = {Hsu, C.~S. and Desai, U.~B. and Crawley, C.~A.},
title = {Realization algorithms and approximation methods of bilinear
systems},
booktitle = {The 22nd {IEEE} Conference on Decision and Control, San
Antonio, TX, USA},
year = 1983,
pages = {783--788},
doi = {10.1109/CDC.1983.269628}
}
@article{morHuaJX20,
author = {Huang, Y. and Jiang, Y.-L. and Xu, K.-L.},
title = {Structure-preserving model reduction of port-{H}amiltonian
systems based on projection},
journal = {Asian J. Control},
volume = {},
pages = {},
year = {2020},
doi = {10.1002/asjc.2332}
}
@article{morHuaLHetal03,
author = {L. Zhang and J. Lam and B. Huang and G.~H. Yang},
title = {On gramians and balanced truncation of discrete-time bilinear
systems},
journal = intcontrol,
year = 2003,
volume = 76,
number = 4,
pages = {414--427}
}
@mastersthesis{morHun15,
author = {Hund, Manuela},
title = {{Z}eitbereichs-{M}odellreduktion und
{S}ylvester-{G}leichungen},
school = ovgu,
year = 2015,
address = {Magdeburg, Germany},
note = {available from:
\url{http://nbn-resolving.de/urn:nbn:de:gbv:ma9:1-7794}},
url = {http://nbn-resolving.de/urn:nbn:de:gbv:ma9:1-7794}
}
@article{morHunMMetal22,
author = {Hund, M. and Mitchell, T. and Mlinari{\'c}, P. and Saak, J.},
title = {Optimization-based Parametric Model Order Reduction via
$\mathcal{H}_2 \otimes \mathcal{L}_2$ First-order
Necessary Conditions},
journal = siamscicomp,
year = 2022,
volume = 44,
number = 3,
pages = {A1554--A1578},
doi = {10.1137/21M140290X}
}
@article{morHunMS18,
author = {Hund, M. and Mlinari{\'c}, P. and Saak, J.},
title = {An \(\mathcal{H}_2 \otimes \mathcal{L}_2\)-Optimal Model Order
Reduction Approach for Parametric Linear Time-Invariant
Systems},
journal = pamm,
year = 2018,
volume = 18,
number = 1,
pages = {e201800084},
doi = {10.1002/pamm.201800084}
}
@inproceedings{morHunS14,
author = {M. Hund and J. Saak},
title = {Numerische {A}spekte der {Zeitbereichs-MOR} mittels
orthogonaler {P}olynome},
booktitle = {Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik"},
year = 2014,
editor = {Sawodny, O. and Adamy, J.},
pages = {176--185},
organization = {Institut f{\"{u}}r Automatisierungstechnik und Mechatronik},
publisher = {Technische Universit{\"{a}}t Darmstadt}
}
@article{morHunS16,
author = {Hund, M. and Saak, J.},
title = {A Connection between Time Domain Model Order Reduction and
Moment Matching},
journal = pamm,
year = 2016,
volume = 16,
number = 1,
pages = {727--728},
month = oct,
publisher = wileyvch,
issn = {1617-7061},
doi = {10.1002/pamm.201610352}
}
@article{morHunS18,
author = {Hund, M. and Saak, J.},
title = {A Connection Between Time Domain Model Order Reduction and
Moment Matching for {LTI} Systems},
journal = mcmds,
year = 2018,
volume = 24,
number = 5,
pages = {455--484},
doi = {10.1080/13873954.2018.1488742}
}
@article{morHuyKCetal10,
author = {Huynh, D.~B.~P. and Knezevic, D.~J. and Chen, Y. and
Hesthaven, J.~S. and Patera, A.~T.},
title = {A natural-norm Successive Constraint Method for inf-sup lower
bounds},
journal = compmethappmecheng,
year = 2010,
volume = 199,
number = 29,
pages = {1963--1975},
doi = {10.1016/j.cma.2010.02.011}
}
@article{morHuyRSetal07,
author = {Huynh, D.~B.~P. and Rozza, G. and Sen, S. and Patera, A.~T.},
title = {A successive constraint linear optimization method for lower
bounds of parametric coercivity and inf-sup lower bounds},
journal = cracadsciparis,
year = 2007,
volume = 345,
number = 8,
pages = {473--478},
doi = {10.1016/j.crma.2007.09.019}
}
@incollection{morIapTV16,
author = {Iapichino, L. and Trenz, S. and Volkwein, S.},
title = {Reduced-Order Multiobjective Optimal Control of Semilinear
Parabolic Problems},
booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2015},
publisher = {Springer International Publishing},
year = 2016,
editor = {Karas{\"{o}}zen, B. and Manguo{\u g}lu, M. and Tezer-Sezgin,
M. and G{\"{o}}ktepe, S. and U{\u g}ur, {\"{o}}},
series = lncse,
pages = {389--397},
address = {Cham},
doi = {10.1007/978-3-319-39929-4_37}
}
@article{morIapUV17,
author = {Iapichino, L. and Ulbrich, S. and Volkwein, S.},
title = {Multiobjective PDE-constrained Optimization using the
Reduced-Basis Method},
journal = advcomputmath,
year = 2017,
doi = {10.1007/s10444-016-9512-x}
}
@article{morIapVW16,
author = {Iapichino, L. and Volkwein, S. and Wesche, A.},
title = {A-posteriori error analysis for lithium-ion concentrations in
batteries utilizing the reduced-basis method},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {362--379},
doi = {10.1080/13873954.2016.1198387}
}
@article{morIglFBetal26,
author = {Iglesias-Tesouro, C. and Feng, L. and Balicki, L. and Romano,
D. and Gugercin, S. and Antonini, G. and Gosea I.~V. and
Benner, P.},
title = {Learning Multivariate Matrix-Valued Electromagnetic Transfer
Functions using p-{AAA}},
journal = {Research in the Mathematical Science},
year = 2026,
note = {submitted}
}
@article{morImrG15,
author = {Imran, M. and Ghafoor, A.},
title = {Model reduction of descriptor systems using frequency limited
{G}ramians},
journal = {J. Franklin Inst.},
year = 2015,
volume = 352,
number = 1,
pages = {33--51},
doi = {10.1016/j.jfranklin.2014.10.013}
}
@inproceedings{morImu12,
author = {Imura, J.-i.},
title = {Clustered model reduction of large-scale complex networks},
booktitle = {Proceedings of the 20th International Symposium on
Mathematical Theory of Networks and Systems, Melbourne,
Australia},
year = 2012,
url = {http://www.mtns2012.conference.net.au/Full\%20Paper/MTNS2012_0311_paper.pdf}
}
@article{morIonA14,
author = {Ionita, A.~C. and Antoulas, A.~C.},
title = {Data-Driven Parametrized Model Reduction in the {L}oewner
Framework},
journal = siamscicomp,
year = 2014,
volume = 36,
number = 3,
pages = {A984--A1007},
doi = {10.1137/130914619}
}
@inproceedings{morIonFS09,
author = {Ionescu, T.~C. and Fujimoto, K. and Scherpen, J.~M.~A.},
title = {The Cross Operator and the Singular Value Analysis for
Nonlinear Symmetric Systems},
booktitle = {Proc. Eur. Control Conf.},
year = 2009,
pages = {1565--1570},
url = {http://hdl.handle.net/11370/1bcfd3be-c006-49e0-bbbe-5c09ca055d87}
}
@article{morIonFS11,
author = {Ionescu, T.~C. and Fujimoto, K. and Scherpen, J.~M.~A.},
title = {Singular Value Analysis of Nonlinear Symmetric Systems},
journal = ieeetransac,
year = 2011,
volume = 56,
number = 9,
pages = {2073--2086},
doi = {10.1109/TAC.2011.2126630}
}
@article{morIonRA08,
author = {Ionutiu, R. and Rommes, J. and Antoulas, A.~C.},
title = {Passivity preserving model reduction using dominant spectral
zero interpolation},
journal = ieeetranscadcs,
year = 2008,
volume = 27,
number = 12,
pages = {2250--2263}
}
@inproceedings{morIonS07,
author = {Ionescu, T.~C. and Scherpen, J.~M.~A.},
title = {Cross Gramians for Nonlinear Systems},
booktitle = {TC7 Conference on System Modeling and Optimization},
year = 2007,
volume = 23,
pages = {322--323},
url = {http://ifip2007.agh.edu.pl/abstracts/48.pdf}
}
@inproceedings{morIonS07a,
author = {Ionescu, T.~C. and Scherpen, J.~M.~A.},
title = {Nonlinear Cross Gramians and Gradient Systems},
booktitle = {Proc. IEEE Conf. Decis. Control},
year = 2007,
volume = 46,
pages = {3745--3750},
doi = {10.1109/CDC.2007.4434707}
}
@incollection{morIonS09,
author = {Ionescu, T.~C. and Scherpen, J.~M.~A.},
title = {Nonlinear Cross Gramians},
booktitle = {System Modeling and Optimization},
publisher = {Springer},
year = 2009,
volume = 312,
series = {IFIP Advances in Information and Communication Technology},
pages = {293--306},
doi = {10.1007/978-3-642-04802-9_16}
}
@article{morIshI15,
author = {Ishizaki, T. and Imura, J.},
title = {Clustered model reduction of interconnected second-order
systems},
journal = {Nonlinear Theory and Its Applications, IEICE},
year = 2015,
volume = 6,
number = 1,
pages = {26--37},
doi = {10.1587/nolta.6.26}
}
@inproceedings{morIshKGetal12,
author = {Ishizaki, T. and Kashima, K. and Girard, A. and Imura, J. and
Chen, L. and Aihara, K.},
title = {Clustering-based {$\mathcal{H}_2$}-state aggregation of
positive networks and its application to reduction of chemical
master equations},
booktitle = {51st IEEE Conference on Decision and Control (CDC), Maui,
Hawaii},
year = 2012,
pages = {4175--4180},
month = dec,
doi = {10.1109/CDC.2012.6426793},
issn = {0743-1546}
}
@article{morIshKGetal15,
author = {Ishizaki, T. and Kashima, K. and Girard, A. and Imura,
J. and Chen, L. and Aihara, K.},
title = {Clustered model reduction of positive directed networks},
journal = automatica,
year = 2015,
volume = 59,
pages = {238--247},
issn = {0005-1098},
doi = {10.1016/j.automatica.2015.06.027}
}
@inproceedings{morIshKI16,
author = {Ishizaki, T. and Ku, R. and Imura, J.},
title = {Clustered model reduction of networked dissipative systems},
booktitle = {American Control Conference (ACC)},
year = 2016,
pages = {3662--3667},
doi = {10.1109/ACC.2016.7525482}
}
@inproceedings{morIshKI16a,
author = {Ishizaki, T. and Ku, R. and Imura, J.},
title = {Eigenstructure analysis from symmetrical graph motives with
application to aggregated controller design},
booktitle = {55th IEEE Conference on Decision and Control (CDC), Las Vegas,
USA},
year = 2016,
pages = {5744--5749},
doi = {10.1109/CDC.2016.7799152}
}
@inproceedings{morIshKIetal12a,
author = {Ishizaki, T. and Kashima, K. and Imura, J. and Aihara, K.},
title = {Model reduction of multi-input dynamical networks based on
clusterwise controllability},
booktitle = {Proc. Am. Control Conf.},
year = 2012,
pages = {2301--2306},
month = jun,
organization = {IEEE},
doi = {10.1109/ACC.2012.6314893}
}
@article{morIshKIetal14,
author = {Ishizaki, T. and Kashima, K. and Imura, J. and Aihara, K.},
title = {Model Reduction and Clusterization of Large-Scale
Bidirectional Networks},
journal = ieeetransac,
year = 2014,
volume = 59,
number = 1,
pages = {48--63},
month = jan,
doi = {10.1109/TAC.2013.2275891},
issn = {0018-9286}
}
@article{morItoK06,
author = {K. Ito and K. Kunisch},
title = {Reduced order control based on approximate inertial manifolds},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {531--541}
}
@article{morJai97,
author = {I.~M. Jaimoukha},
title = {A general minimal residual {K}rylov subspace method for
large-scale model reduction},
journal = ieeetransac,
year = 1997,
volume = 42,
number = 10,
pages = {1422--1427}
}
@article{morJaiK94,
author = {I.~M. Jaimoukha and E.~M. Kasenally},
title = {{K}rylov subspace methods for solving large {L}yapunov
equations},
journal = siamnumanal,
year = 1994,
volume = 31,
number = 1,
pages = {227--251},
doi = {10.1137/0731012}
}
@article{morJaiK95,
author = {I.~M. Jaimoukha and E.~M. Kasenally},
title = {Oblique projection methods for large scale model reduction},
journal = siammatrix,
year = 1995,
volume = 16,
number = 2,
pages = {602--627},
doi = {10.1137/S0895479893250740}
}
@article{morJaiK97,
author = {I.~M. Jaimoukha and E.~M. Kasenally},
title = {Implicitly restarted {K}rylov subspace methods for stable
partial realizations},
journal = siammatrix,
year = 1997,
volume = 18,
number = 3,
pages = {633--652}
}
@inproceedings{morJazST15,
author = {Jazlan, A. and Sreeram, V. and Togneri, R.},
title = {Cross {G}ramian Based Time Interval Model Reduction},
booktitle = {Proceedings of the 5th Australien Control Conference (AUCC)},
year = 2015,
pages = {274--276},
url = {http://ieeexplore.ieee.org/abstract/document/7361947/}
}
@article{morJbiR06,
author = {K. Jbilou and A.~J. Riquet},
title = {Projection methods for large {L}yapunov matrix equations},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {344--358}
}
@article{morJenW21,
author = {Jendersie, R. and Werner, S.~W.~R.},
title = {A comparison of numerical methods for model reduction of dense
discrete-time systems},
journal = atautom,
year = 2021,
volume = 69,
number = 8,
pages = {683--694},
doi = {10.1515/auto-2021-0035}
}
@article{morJiaC12,
author = {Jiang, Y.-L. and Chen, H-~B.},
title = {Time domain model order reduction of general orthogonal
polynomials for linear input-output systems},
journal = ieeetransac,
year = 2012,
volume = 57,
number = 2,
pages = {330--343}
}
@article{morJiaQY19,
author = {Jiang, Y.-L. and Qi, Z.-Z. and Yang, P.},
title = {Model order reduction of linear systems via the cross
{G}ramian and {SVD}},
journal = {IEEE Transactions on Circuits and Systems II: Express Briefs},
year = 2019,
volume = 66,
number = 3,
pages = {422--426},
doi = {10.1109/TCSII.2018.2864115}
}
@article{morJonMGetal18,
author = {Jongsma, H.-J. and Mlinari{\'c}, P. and Grundel, S. and
Benner, P. and Trentelman, H.~L.},
title = {Model reduction of linear multi-agent systems by clustering
with {$\mathcal{H}_2$} and {$\mathcal{H}_\infty$} error
bounds},
journal = mcss,
volume = 30,
pages = 6,
year = 2018,
doi = {10.1007/s00498-018-0212-6}
}
@article{morJonS83,
author = {E.~A. Jonckheere and L.~M. Silverman},
title = {A new set of invariants for linear systems -- application to
reduced order compensator design},
journal = ieeetransac,
year = 1983,
volume = 28,
number = 10,
pages = {953--964},
doi = {10.1109/TAC.1983.1103159}
}
@inproceedings{morJonTC15,
author = {Jongsma, H.~J. and Trentelman, H.~L. and {\c{C}}amlibel,
M.~K.},
title = {Model reduction of consensus networks by graph simplification},
booktitle = {54th IEEE Conference on Decision and Control, Osaka, Japan},
year = 2015,
pages = {5340--5345},
organization = {IEEE},
doi = {10.1109/CDC.2015.7403055}
}
@article{morJooLJ04,
author = {Joo, S.-K. and Liu, C.-C. and Jones, L.~E. and Choe, J.-W.},
title = {Coherency and aggregation techniques incorporating rotor and
voltage dynamics},
journal = {IEEE Transactions on Power Systems},
year = {2004},
volume = {19},
number = {2},
pages = {1068--1075},
doi = {10.1109/TPWRS.2004.825825}
}
@article{morKab85,
author = {Kabamba, P.~T.},
title = {Balanced Gains and Their Significance for {L}$^2$ Model
Reduction},
journal = ieeetransac,
year = 1985,
volume = 30,
number = 7,
pages = {690--693},
doi = {10.1109/TAC.1985.1104017}
}
@article{morKalBAetal14,
author = {I. Kalashnikova and M.F. Barone and S. Arunajatesan and
B.G. van Bloemen Waanders},
title = {Construction of energy-stable projection-based reduced order
models},
journal = {Applied Mathematics and Computation},
year = 2014,
volume = 249,
pages = {569--596},
doi = {10.1016/j.amc.2014.10.073}
}
@article{morKamWW00,
author = {Kamon, M. and Wang, F. and White, J.},
title = {Generating nearly optimally compact models from
{K}rylov-subspace based reduced-order models},
journal = ieeetranscs,
year = 2000,
volume = 47,
number = 4,
pages = {239--248}
}
@techreport{morKapBF25,
author = {Kapadia, H. and Benner, P. and Feng, L.},
title = {Subspace-Distance-Enabled Active Learning for Efficient
Data-Driven Model Reduction of Parametric Dynamical Systems},
institution = {arXiv},
year = 2025,
type = {e-print},
number = {2505.00460},
note = {math.NA},
doi = {10.48550/arXiv.2505.00460}
}
@article{morKapFB24,
author = {Kapadia, H. and Feng, L. and Benner, P.},
title = {Active-learning-driven surrogate modeling for efficient
simulation of parametric nonlinear systems},
journal = cmame,
fjournal = {Computer Methods in Applied Mechanics and Engineering},
volume = {419},
pages = {Paper No. 116657, 36},
year = {2024},
doi = {10.1016/j.cma.2023.116657}
}
@phdthesis{morKar23,
author = {Karachalios, D.~S.},
title = {Data-driven System Reduction and Identification from
Input-Output Time-Domain Data with the {L}oewner Framework},
school = ovgu,
year = 2023,
type = {{D}issertation},
address = {Madgeburg, Germany},
url = {https://pure.mpg.de/rest/items/item_3520850_4/component/file_3571675/content}
}
@article{morKarAU15,
author = {Karas{\"{o}}zen, B. and Akkoyunlu, C. and Uzunca, M.},
title = {Model Order Reduction for Nonlinear {S}chr{\"{o}}dinger
Equation},
journal = applmathcomp,
year = 2015,
volume = 258,
pages = {509--519},
doi = {10.1016/j.amc.2015.02.001}
}
@article{morKarGA19,
author = {Karachalios, D.~S. and Gosea, I.~V. and Antoulas, A.~C.},
title = {A bilinear identification-modeling framework from time domain
data},
journal = pamm,
year = 2019,
volume = 19,
number = 1,
pages = {e201900246},
doi = {10.1002/pamm.201900246}
}
@incollection{morKarGA19a,
author = {Karachalios, D.~S. and Gosea, I.~V. and Antoulas, A.~C.},
title = {The {L}oewner framework for system identification and
reduction},
booktitle = {Model Reduction Handbook: Volume I: System- and Data-Driven
Methods and Algorithms},
publisher = {De Gruyter},
year = 2021,
editor = {Benner, P. and Grivet-Talocia, S. and Quarteroni, A. and
Rozza, G. and Schilders, W.~H.~A. and Silveira, L.~M.},
volume = 1,
series = {Handbook on Model Reduction},
pages = {181--228},
doi = {10.1515/9783110498967-006}
}
@article{morKarGA21,
author = {Karachalios, D.~S. and Gosea, I.~V. and Antoulas, A.~C.},
title = {The {L}oewner framework for nonlinear identification and
reduction of {H}ammerstein cascaded dynamical systems},
journal = pamm,
volume = {20},
number = {1},
pages = {e202000337},
doi = {10.1002/pamm.202000337},
year = {2021}
}
@incollection{morKarGA21a,
author = {Karachalios, D.~S. and Gosea, I.~V. and Antoulas, A.~C.},
title = {On Bilinear Time-Domain Identification and Reduction in the
{L}oewner Framework},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editors = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
publisher = {Birkh{\"{a}}user, Cham},
pages = {3--30},
year = {2021},
doi = {10.1007/978-3-030-72983-7_1}
}
@inproceedings{morKarGA22,
author = {Karachalios, D.~S. and Gosea, I.~V. and Antoulas, A.~C.},
title = {A framework for fitting quadratic-bilinear systems with
applications to models of electrical circuits},
booktitle = {IFAC-PapersOnLine, 18th Vienna International Conference on
Mathematical Modelling MATHMOD 2022},
year = 2022,
volume = 55,
pages = {7--12},
publisher = {Elsevier},
doi = {10.1016/j.ifacol.2022.09.064}
}
@article{morKarGGetal25,
author = {Karachalios, D.~S. and Gosea, I.~V. and Gkimisis, L. and
Antoulas, A.~C.},
title = {Data-Driven Quadratic Modeling in the {L}oewner Framework from
Input-Output Time-Domain Measurements},
journal = siamappdynsys,
year = 2025,
volume = 24,
number = 1,
pages = {457--500},
publisher = {SIAM},
doi = {10.1137/22M153567X}
}
@inproceedings{morKarGKetal24,
author = {Karachalios, D.~S. and Gosea, I.~V. and Kour, K. and Antoulas,
A.~C.},
title = {Bilinear Realization from {I}/{O} Data with {NN}s},
booktitle = {Scientific Computing in Electrical Engineering {SCEE} 2022},
year = 2024,
editor = {van Beurden, M. and Budko, N.V. and Ciuprina, G. and
Schilders, W. and Bansal, H. and Barbulescu, R.},
volume = 43,
series = {Mathematics in Industry},
pages = {184--192},
publisher = {Springer, Cham},
doi = {10.1007/978-3-031-54517-7_21}
}
@article{morKarKU15,
author = {Karas{\"{o}}zen, B. and K{\"{u}}{\c{c}}{\"{u}}kseyhan, T. and
Uzunca, M.},
title = {Structure preserving integration and model order reduction of
skew-gradient reaction-diffusion systems},
journal = {Ann. Oper. Res.},
year = 2015,
pages = {1--28},
doi = {10.1007/s10479-015-2063-6}
}
@incollection{morKarUK16,
author = {Karas{\"{o}}zen, B. and Uzunca, M. and
K{\"{u}}{\c{c}}{\"{u}}kseyhan, T.},
title = {Model Order Reduction for Pattern Formation in
{F}itz{H}ugh-{N}agumo Equations},
booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2015},
publisher = {Springer International Publishing},
year = 2016,
editor = {Karas{\"{o}}zen, B. and Manguo{\u{g}}lu, M. and Tezer-Sezgin,
M. and G{\"{o}}ktepe, S. and U{\u{g}}ur, {\"{o}}.},
series = lncse,
pages = {369--377},
address = {Cham},
doi = {10.1007/978-3-319-39929-4_35},
isbn = {978-3-319-39929-4}
}
@article{morKauFHetal15,
author = {Kaulmann, S. and Flemisch, B. and Haasdonk, B. and Lie,
K.-A. and Ohlberger, M.},
title = {The Localized Reduced Basis Multiscale Method for Two-Phase
Flows in Porous Media},
journal = intnumereng,
year = 2015,
volume = 102,
number = 5,
pages = {1018--1040},
doi = {10.1002/nme.4773}
}
@article{morKauLPetal08,
author = {D. Kauzlari{\'c} and J. Lienemann and L. Pastewka and
A. Greiner and J.~G. Korvink},
title = {Integrated process simulation of primary shaping: multi scale
approaches},
journal = {Microsyst. Technol.},
year = 2008,
volume = 14,
number = 12,
pages = {1789--1796},
address = {Berlin, Heidelberg},
doi = {10.1007/s00542-008-0612-5},
issn = {0946-7076},
publisher = {Springer-Verlag}
}
@inproceedings{morKawS15,
author = {Kawano, Y. and Scherpen, J.~M.~A.},
title = {Model Reduction by Generalized Differential Balancing},
booktitle = {Mathematical Control Theory I: Nonlinear and Hybrid Control
Systems},
year = 2015,
volume = 461,
series = lncis,
pages = {349--362},
doi = {10.1007/978-3-319-20988-3}
}
@article{morKawS17,
author = {Kawano, Y. and Scherpen, J.~M.~A.},
title = {Empirical Differential Balancing for Nonlinear Systems},
journal = {IFAC-PapersOnLine (Proceedings of the 20th IFAC World
Congress)},
year = 2017,
volume = 50,
number = 1,
pages = {6326--6331},
doi = {10.1016/j.ifacol.2017.08.920}
}
@techreport{morKeiG03,
author = {Keil, A. and Gouz{\'e}, J.~L.},
title = {Model reduction of modular systems using balancing methods},
institution = tum,
year = 2003,
url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.485.2449}
}
@article{morKerG22,
author = {Kergus, P. and Gosea, I.~V.},
title = {Data-driven approximation and reduction from noisy data in
matrix pencils frameworks},
journal = {IFAC-PapersOnLine},
year = 2022,
volume = 55,
number = 30,
pages = {371--376},
note = {25th International Symposium on Mathematical Theory of
Networks and Systems, MTNS 2022},
doi = {10.1016/j.ifacol.2022.11.081}
}
@article{morKerGP24,
author = {Kergus, P. and Gosea, I.~V. and Petreczky, M.},
title = {Loewner functions for bilinear systems},
journal = {IFAC-PapersOnLine},
year = 2024,
volume = 58,
number = 5,
pages = {102--107},
note = {7th IFAC Conference on Analysis and Control of Nonlinear
Dynamics and Chaos ACNDC 2024},
doi = {10.1016/j.ifacol.2024.07.071}
}
@article{morKerGV05,
author = {Kerschen, G. and Golinval, J.~C. and Vakakis A.~F.},
title = {The Method of Proper Orthogonal Decomposition for Dynamical
Characterization and Order Reduction of Mechanical Systems: An
Overview},
journal = {Nonlinear Dynamics},
year = 2005,
volume = 41,
pages = {147--169}
}
@inproceedings{morKerWY95,
author = {K.~J. Kerns and I.~L. Wemple and A.~T. Yang},
title = {Stable and efficient reduction of substrate model networks
using congruence transforms},
booktitle = {ICCAD '95: Proc. of the 1995 IEEE/ACM international conference
on Computer-aided design},
year = 1995,
pages = {207--214},
address = {Washington, DC, USA},
isbn = {0-8186-7213-7},
location = {San Jose, California, United States}
}
@article{morKhaAFetal22,
author = {Khattak, M.~A. and Ahmad, M.~I. and Feng, L. and Benner, B.},
title = {Multivariate moment matching for model order reduction of
quadratic-bilinear systems using error bounds},
journal = amses,
year = 2022,
volume = 9,
number = 23,
doi = {10.1186/s40323-022-00236-6}
}
@inproceedings{morKhaZ16,
author = {Khatibi, M. and Zargarzadeh, H.},
title = {Power system dynamic model reduction by means of an iterative
{SVD}-{K}rylov model reduction method},
booktitle = {2016 IEEE Power \& Energy Society Innovative Smart Grid
Technologies Conference (ISGT)},
year = {2016},
pages = {16526042},
doi = {10.1109/ISGT.2016.7781027}
}
@techreport{morKimH23,
author = {Kim, Y. and Heiland, J.},
title = {Convolutional Autoencoders, Clustering, and {POD} for
Low-dimensional Parametrization of {N}avier-{S}tokes
Equations},
institution = {arXiv},
year = 2023,
type = {e-print},
url = {https://arxiv.org/abs/2302.01278}
}
@article{morKirS20,
author = {Kirsten, G. and Simoncini, V.},
title = {Order reduction methods for solving large-scale differential
matrix {R}iccati equations},
journal = siamscicomp,
volume = {42},
number = {4},
pages = {A2182--A2205},
year = {2020},
doi = {10.1137/19M1264217}
}
@article{morKluNKetal18,
author = {Klus, S. and N{\"{u}}ske, F. and Koltai, P. and Wu, H. and
Kevrekidis, I. and Sch{\"{u}}tte, C. and No{\'{e}}, F.},
title = {Data-Driven Model Reduction and Transfer Operator
Approximation},
journal = {Journal of Nonlinear Science},
volume = {28},
pages = {985--1010},
year = {2018},
doi = {10.1007/s00332-017-9437-7}
}
@article{morKneP10,
author = {D.~J. Knezevic and A.~T. Patera},
title = {A Certified Reduced Basis Method for the {F}okker-{P}lanck
Equation of Dilute Polymeric Fluids: {FENE} Dumbbells in
Extensional Flow.},
journal = siamscicomp,
year = 2010,
volume = 32,
number = 2,
pages = {793--817}
}
@article{morKocL07,
author = {Koch, O. and Lubich, C.},
title = {Dynamical Low-Rank Approximation},
journal = siammatrix,
year = 2007,
volume = 29,
number = 2,
pages = {434--454},
publisher = {SIAM}
}
@incollection{morKoeS13,
author = {K{\"{o}}hler, M. and Saak, J.},
title = {A Shared Memory Parallel Implementation of the {IRKA}
Algorithm for $\mathcal{H}_2$ Model Order Reduction},
booktitle = {Applied Parallel and Scientific Computing},
publisher = springer,
year = 2013,
editor = {Manninen, Pekka and {\"{o}}ster, Per},
volume = 7782,
series = lncs,
pages = {541--544},
address = {Berlin/Heidelberg},
isbn = {978-3-642-36802-8},
doi = {10.1007/978-3-642-36803-5_42}
}
@inproceedings{morKonFD08,
author = {Y. Konkel and O. Farle and R. Dyczij-Edlinger},
title = {Ein {F}ehlersch{\"{a}}tzer f{\"{u}}r die {K}rylov-{U}nterraum
basierte {O}rdnungsreduktion zeitharmonischer
{A}nregungsprobleme (in {G}erman)},
booktitle = {Tagungsband GMA-FA 1.30, 'Modellbildung, Identifikation und
Simulation in der Automatisierungstechnik'},
year = 2008,
editor = {B. Lohmann and A. Kugi},
pages = {139--149}
}
@article{morKonFSetal14,
author = {Konkel, Y. and Farle, O. and Sommer, A. and Burgard, S. and
R. Dyczij-Edlinger},
title = {A Posteriori Error Bounds for {K}rylov-Based Fast Frequency
Sweeps of {F}inite-{E}lement Systems},
journal = ieeetransmag,
year = 2014,
volume = 50,
number = 2,
pages = {441--444},
doi = {10.1109/TMAG.2013.2285442}
}
@incollection{morKorPDetal23,
author = {J. Korvink and K. Poletkin and Y. Deng and L. Feng},
title = {A digital twin for {MEMS} and {NEMS}},
booktitle = {Springer Handbook of Semiconductor Devices, Part 4, Modeling},
publisher = {Springer},
year = 2023,
editor = {M. Rudan and R. Brunetti and S. Reggiani},
pages = {1303--1334},
isbn = {978-3-030-79827-7},
doi = {10.1007/978-3-030-79827-7}
}
@incollection{morKorR05,
author = {Korvink, J.~G. and Rudnyi, E.~B.},
title = {Oberwolfach Benchmark Collection},
booktitle = {Dimension Reduction of Large-Scale Systems},
publisher = {Springer Berlin Heidelberg},
year = 2005,
editor = {Benner, P. and Sorensen, D.~C. and Mehrmann, V.},
volume = 45,
series = lncse,
pages = {311--315},
doi = {10.1007/3-540-27909-1_11}
}
@article{morKosJH16,
author = {Koskela, A. and Jarlebring, E. and Hochstenbach, M.~E.},
title = {{K}rylov Approximation of Linear ODEs with Polynomial
Parameterization},
journal = siammatrix,
year = 2016,
volume = 37,
number = 2,
pages = {519--538},
doi = {10.1137/15M1032831}
}
@article{morKouB08,
author = {Koutsovasilis, P. and Beitelschmidt, M.},
title = {Comparison of model reduction techniques for large mechanical
systems},
subtitle = {A study on an elastic rod},
journal = {Multibody System Dynamics},
volume = {20},
pages = {111--128},
year = {2008},
doi = {10.1007/s11044-008-9116-4}
}
@article{morKraG16,
author = {Kramer, B. and Gugercin, S.},
title = {Tangential interpolation-based eigensystem realization
algorithm for MIMO systems},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {282--306},
doi = {10.1080/13873954.2016.1198389}
}
@article{morKraW19,
author = {Kramer, B. and Willcox, K.~E.},
title = {Nonlinear model order reduction via lifting transformations
and proper orthogonal decomposition},
journal = {AIAA Journal},
year = 2019,
volume = 57,
number = 6,
pages = {2297--2307},
doi = {10.2514/1.J057791}
}
@techreport{morKraW19a,
author = {Kramer, B. and Willcox, K.},
title = {Balanced truncation model reduction for lifted nonlinear
systems},
institution = {arXiv},
type = {e-print},
number = {arxiv:1907.12084},
note = {math.NA},
year = {2019},
url = {https://arxiv.org/abs/1907.12084}
}
@article{morKreK96,
author = {Kreuzer, E. and Kust, O.},
title = {Analysis of long torsional strings by proper orthogonal
decomposition},
journal = {Archive of Applied Mechanics},
year = 1996,
volume = 67,
number = 1,
pages = {68--80},
publisher = {Springer}
}
@conference{morKreS05,
author = {Kreuzer, E. and Struck, H.},
title = {Active Damping of Spatio-Temporal Dynamics of
Drill-Strings},
booktitle = {IUTAM Symposium on Chaotic Dynamics And Control of
Systems And Processes in Mechanics: Proceedings of the
IUTAM Symposium Held in Rome, Italy, 8-13 June 2003},
year = {2005},
pages = {407--417},
organization = {Springer}
}
@article{morKryLM01,
author = {Krysl, P. and Lall, S. and Marsden, J.~E.},
title = {Dimensional model reduction in non-linear finite element
dynamics of solids and structures},
journal = intnumereng,
year = 2001,
volume = 51,
number = 4,
pages = {479--504},
coden = {IJNMBH},
fjournal = {International Journal for Numerical Methods in Engineering},
issn = {0029-5981}
}
@mastersthesis{morKue10,
author = {P. K{\"{u}}rschner},
title = {Two-Sided Eigenvalue Methods for Modal Approximation},
school = {Chemnitz University of Technology, Department of Mathematics,
Germany},
year = 2010,
type = {Diploma Thesis}
}
@article{morKue18,
author = {K{\"{u}}rschner, P.},
title = {Balanced truncation model order reduction in limited time
intervals for large systems},
journal = {Advances in Computational Mathematics},
volume = {44},
number = {6},
year = 2018,
pages = {1821--1844},
doi = {10.1007/s10444-018-9608-6}
}
@inproceedings{morKulL17,
author = {Kula, S. and Lup, A.~S.},
title = {Parametrized reduced model of {RF} {MEMS} capacitive switch},
booktitle = {2017 10th International Symposium on Advanced Topics in
Electrical Engineering (ATEE)},
year = 2017,
pages = {529--532},
doi = {10.1109/ATEE.2017.7905180}
}
@article{morKunV01,
author = {Kunisch, K. and Volkwein, S.},
title = {Galerkin proper orthogonal decomposition methods for parabolic
systems},
journal = numermath,
year = 2001,
volume = 90,
pages = {117--148}
}
@article{morKunV02,
author = {Kunisch, K. and Volkwein, S.},
title = {Galerkin proper orthogonal decomposition methods for a general
equation in fluid dynamics},
journal = siamnumanal,
year = 2002,
volume = 40,
number = 2,
pages = {492--515},
doi = {10.1137/S0036142900382612},
fjournal = {SIAM Journal on Numerical Analysis},
issn = {0036-1429}
}
@article{morKunV08,
author = {Kunisch, K. and Volkwein, S.},
title = {Proper orthogonal decomposition for optimality systems},
journal = m2an,
year = 2008,
volume = 42,
number = 1,
pages = {1--23},
fjournal = {M2AN. Mathematical Modelling and Numerical Analysis},
issn = {0764-583X}
}
@article{morKunVX04,
author = {Kunisch, K. and Volkwein, S. and Xie, L.},
title = {H{JB}-{POD}-based feedback design for the optimal control of
evolution problems},
journal = siamappdynsys,
year = 2004,
volume = 3,
number = 4,
pages = {701--722 (electronic)},
fjournal = siamappdynsys,
issn = {1536-0040}
}
@book{morKutBBetal16,
author = {Kutz, J.~N. and Brunton, S.~L. and Brunton, B.~W. and Proctor,
J.~L.},
title = {Dynamic Mode Decomposition: Data-Driven Modeling of Complex
Systems},
publisher = {Society of Industrial and Applied Mathematics},
year = 2016,
address = {Philadelphia, USA},
doi = {10.1137/1.9781611974508},
isbn = 9781611974492
}
@techreport{morKweFSetal17,
author = {Kweyu, C. and Feng, L. and Stein, M. and Benner, P.},
title = {Fast Solution of the {P}oisson-{B}oltzmann Equation with
nonaffine Parametrized Boundary Conditions Using the Reduced
Basis Method},
institution = {arXiv},
year = 2017,
type = {e-prints},
number = {1705.08349},
note = {math.OC},
url = {https://arxiv.org/abs/1705.08349}
}
@article{morKweFSetal20,
author = {Kweyu, C. and Feng, L. and Stein, M. and Benner, P.},
title = {Fast Solution of the Linearized Poisson-Boltzmann Equation
with nonaffine Parametrized Boundary Conditions Using the
Reduced Basis Method},
journal = {Computing and Visualization in Science},
volume = {23},
pages = {15},
doi = {10.1007/s00791-020-00336-z},
year = {2020}
}
@article{morKweFSetal23,
author = {Kweyu, C. and Feng, L. and Stein, M. and Benner, P.},
title = {Reduced basis method for the nonlinear {Poisson-Boltzmann}
equation regularized by the range-separated canonical tensor
format},
journal = ijnsns,
year = 2023,
volume = 24,
number = 8,
pages = {2915--2935},
fjournal = {International Journal of Nonlinear Sciences and Numerical
Simulation}
}
@inproceedings{morKweHFetal16,
author = {Kweyu, C. and Hess, M. and Feng, L. and Stein, M. and Benner,
P.},
title = {Reduced Basis Method for {P}oisson-{B}oltzmann Equation},
booktitle = {ECCOMAS Congress 2016, VII European Congress on Computational
Methods in Applied Sciences and Engineering},
year = 2016,
volume = 2,
pages = {4187--4195},
url = {http://csc.mpi-magdeburg.mpg.de/mpcsc/benner/pub/Kweyu_etal_ECCOMAS2016.pdf}
}
@article{morLalKM03,
author = {Lall, S. and Krysl, P. and Marsden, J.~E.},
title = {Structure-preserving model reduction for mechanical systems},
journal = {Phys. D},
year = 2003,
volume = 184,
number = {1-4},
pages = {304--318},
note = {Complexity and nonlinearity in physical systems (Tucson, AZ,
2001)},
coden = {PDNPDT},
fjournal = {Physica D. Nonlinear Phenomena},
issn = {0167-2789},
doi = {10.1016/S0167-2789(03)00227-6}
}
@article{morLalMG02,
author = {Lall, S. and Marsden, J.~E. and Glava{\v{s}}ki, S.},
title = {A subspace approach to balanced truncation for model reduction
of nonlinear control systems},
journal = introbcont,
year = 2002,
volume = 12,
number = 6,
pages = {519--535},
issn = {1049-8923},
doi = {10.1002/rnc.657}
}
@article{morLalMG99,
author = {Lall, S. and Marsden, J.~E. and Glava{\v{s}}ki, S.},
title = {Empirical model reduction of controlled nonlinear systems},
journal = {IFAC Proceedings Volumes (14th IFAC World Congress)},
year = 1999,
volume = 32,
number = 2,
pages = {2598--2603},
doi = {10.1016/S1474-6670(17)56442-3}
}
@article{morLamA92,
author = {Lam, J. and Anderson, B.~D.~O.},
title = {{L}$_1$ impulse response error bound for balanced truncation},
journal = scl,
year = 1992,
volume = 18,
number = 2,
pages = {129--137},
doi = {10.1016/0167-6911(92)90017-M}
}
@incollection{morLanL96,
author = {W. Lang and U. Lezius},
title = {Numerical realization of the balanced reduction of a control
problem},
booktitle = {Progress in Industrial Mathematics at ECMI94},
publisher = {John Wiley \& Sons Ltd and B.~G. Teubner},
year = 1996,
editor = {H. Neunzert},
pages = {504--512},
address = {New York and Leipzig},
doi = {10.1007/978-3-322-82967-2\_58}
}
@article{morLanSB14,
author = {Lang, N. and Saak, J. and Benner, P.},
title = {Model Order Reduction for Systems with Moving Loads},
journal = atautom,
year = 2014,
volume = 62,
number = 7,
pages = {512--522},
month = jun,
doi = {10.1515/auto-2014-1095},
publisher = {deGruyter}
}
@incollection{morLanSB15,
author = {Lang, N. and Saak, J. and Benner, P.},
title = {Model Order Reduction for Thermo-Elastic Assembly Group
Models},
booktitle = {Thermo Energetic Design of Machine Tools},
publisher = {Springer International Publishing Switzerland},
year = 2015,
editor = {Knut Gro{\ss}mann},
series = lnpe,
chapter = 8,
pages = {85--92},
doi = {10.1007/978-3-319-12625-8_8}
}
@article{morLanSS15,
author = {Lang, N. and Saak, J. and Stykel, T.},
title = {Towards Practical Implementations of Balanced Truncation for
{LTV} Systems},
journal = {IFAC-PapersOnLine},
year = 2015,
volume = 48,
number = 1,
pages = {7--8},
issn = {2405-8963},
doi = {10.1016/j.ifacol.2015.05.135}
}
@article{morLanSS16,
author = {Lang, N. and Saak, J. and Stykel, T.},
title = {Balanced truncation model reduction for linear time-varying
systems},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {267--281},
doi = {10.1080/13873954.2016.1198386}
}
@inproceedings{morLanZWetal16,
author = {Lan, X. and Zhao, H. and Wang, Y. and Mi, Z.},
title = {Nonlinear power system model reduction based on empirical
{G}ramians},
booktitle = {2016 IEEE International Conference on Power System Technology
(POWERCON)},
year = {2016},
pages = {16487940},
doi = {10.1109/POWERCON.2016.7754074}
}
@inproceedings{morLauHPetal86,
author = {Laub, A.~J. and Heath, M.~T. and Paige, C.~C. and Ward, R.~C.},
title = {Computation of system balancing transformations},
booktitle = {Proceedings of the 25th IEEE Conference on Decision and
Control},
year = 1986,
pages = {548--553},
doi = {10.1109/CDC.1986.267343}
}
@article{morLauHPetal87,
author = {Laub, A.~J. and Heath, M.~T. and Paige, C.~C. and Ward, R.~C.},
title = {Computation of System Balancing Transformations and Other
Applications of Simultaneous Diagonalization Algorithms},
journal = ieeetransac,
year = 1987,
volume = 32,
number = 2,
pages = {115--122},
doi = {10.1109/TAC.1987.1104549}
}
@article{morLauSV83,
author = {Laub, A.~J. and Silverman, L.~M. and Verma, M.},
title = {A Note on Cross-Grammians for Symmetric Realizations},
journal = procieee,
year = 1983,
volume = 71,
number = 7,
pages = {904--905},
doi = {10.1109/PROC.1983.12688}
}
@inproceedings{morLawMC05,
author = {Lawrence, D. and Myatt, J.~H. and Camphouse, R.~C.},
title = {On Model Reduction via Empirical Balanced Truncation},
booktitle = {Proc. Am. Control Conf.},
year = 2005,
volume = 5,
pages = {3139--3144},
doi = {10.1109/ACC.2005.1470454}
}
@article{morLeeCF06,
author = {H.-J. Lee and C.-C. Chu and W.-S.Feng},
title = {An adaptive-order rational {A}rnoldi method for model-order
reductions of linear time-invariant systems},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {235--261}
}
@article{morLeeECetal00,
author = {Lee, K.~S. and Eom, Y. and Chung, J.~W. and Choi, J. and Yang,
D.},
title = {A control-relevant model reduction technique for nonlinear
systems},
journal = {Computers and Chemical Engineering},
volume = {24},
number = {2--7},
pages = {309--315},
year = {2000},
doi = {10.1016/S0098-1354(00)00465-8}
}
@inproceedings{morLeeVVetal05,
author = {J.~H. Lee and D. Vasilyev and A. Vithayathil and L. Daniel and
J. White},
title = {Accelerated Optical Topography Inspection Using Parameterized
Model Order Reduction},
booktitle = {Microwave Symposium Digest, 2005 IEEE MTT-S International},
year = 2005,
month = jun,
doi = {10.1109/MWSYM.2005.1517065}
}
@inproceedings{morLefG16,
author = {Lefteriu, S. and Grivet-Talocia, S.},
title = {{L}oewner-based macromodeling with exact interpolation
constraints},
booktitle = {2016 IEEE 25th Conference on Electrical Performance of
Electronic Packaging And Systems (EPEPS)},
year = 2016,
pages = {43--46},
doi = {10.1109/EPEPS.2016.7835414}
}
@phdthesis{morLeh07,
author = {Lehner, M.},
title = {Modellreduktion in elastischen Mehrk{\"{o}}rpersystemen},
school = {Universit{\"{a}}t Stuttgart},
year = 2007,
type = {{Dissertation}},
address = {Germany},
url = {https://www.shaker.de/de/content/catalogue/index.asp?lang=de&ID=8&ISBN=978-3-8322-6783-4&search=yes}
}
@article{morLehE06,
author = {Lehner, M. and Eberhard, P.},
title = {{Modellreduktion in elastischen Mehrk{\"{o}}rpersystemen (Model
Reduction in Flexible Multibody Systems)}},
journal = atautom,
year = 2006,
volume = 54,
number = 4,
pages = {170--177},
publisher = {Oldenbourg}
}
@article{morLehE07,
author = {Lehner, M. and Eberhard, P.},
title = {A two-step approach for model reduction in flexible multibody
dynamics},
journal = {Multibody Syst. Dyn.},
year = 2007,
volume = 17,
number = {2-3},
pages = {157--176},
coden = {MSDYFC},
fjournal = {Multibody System Dynamics},
issn = {1384-5640},
doi = {10.1007/s11044-007-9039-5}
}
@article{morLeiV06,
author = {F. Leibfritz and S. Volkwein},
title = {Reduced order output feedback control design for {PDE} systems
using proper orthogonal decomposition and nonlinear
semidefinite programming},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {542--575}
}
@article{morLeuK05,
author = {Leung, A.~T.-M. and Khazaka, R.},
title = {Parametric model order reduction technique for design
optimization},
journal = {Circuits and Systems, 2005. ISCAS 2005. IEEE International
Symposium on},
year = 2005,
volume = 2,
pages = {1290--1293},
month = may,
doi = {10.1109/ISCAS.2005.1464831}
}
@inproceedings{morLeuKMetal19,
author = {Leung, J. and Kinnaert, M. and Maun, J.-C. and Villella, F.},
title = {{LPV} modeling of clusters in dynamic power system models},
booktitle = {2019 IEEE Milan PowerTech},
year = {2019},
pages = {18938976},
doi = {10.1109/PTC.2019.8810442}
}
@inproceedings{morLeuKMetal19a,
author = {Leung, J. and Kinnaert, M. and Maun, J.-C. and Villella, F.},
title = {Model reduction of coherent {LPV} models in power systems},
booktitle = {2019 IEEE Power \& Energy Society General Meeting (PESGM)},
year = {2019},
pages = {19302246},
doi = {10.1109/PESGM40551.2019.8973651}
}
@article{morLevB17,
author = {Levron, Y. and Belikov, J.},
title = {Reduction of power system dynamic models using sparse
representations},
journal = {IEEE Transactions on Power Systems},
year = {2017},
volume = {32},
number = {5},
pages = {3893--3900},
doi = {10.1109/TPWRS.2017.2648979}
}
@phdthesis{morLi00,
author = {J.-R. Li},
title = {Model Reduction of Large Linear Systems via Low Rank System
{G}ramians},
school = {Massachusettes Institute of Technology},
year = 2000,
type = {{Ph.D. Thesis}},
month = sep
}
@article{morLi06,
author = {Li, J.-R.},
title = {Low order approximation of the spherical nonreflecting
boundary kernel for the wave equation},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {455--468}
}
@incollection{morLiB04,
author = {Li, R.-C. and Bai, Z.},
title = {Structure-preserving model reduction},
booktitle = {Applied Parallel Computing. State of the Art in Scientific
Computing: 7th International Workshop, PARA 2004, Lyngby,
Denmark, June 20-23, 2004. Revised Selected Papers},
publisher = {Springer Berlin Heidelberg},
year = 2006,
editor = {Dongarra, J. and Madsen, K. and Wa{\'s}niewski, J.},
pages = {323--332},
organization = {Springer},
isbn = {978-3-540-33498-9},
doi = {10.1007/11558958_38}
}
@article{morLiB05,
author = {R.~C. Li and Z. Bai},
title = {Structure-Preserving model reduction using a {K}rylov subspace
projection formulation},
journal = commmathsci,
year = 2005,
volume = 3,
number = 2,
pages = {179--199}
}
@inproceedings{morLiBSetal07,
author = {Li, Y.~T. and Bai, Z. and Su, Y. and Zeng, X.},
title = {Parameterized model order reduction via a two-directional
{A}rnoldi process},
booktitle = {Proc. of the 2007 IEEE/ACM international conference on
Computer-aided design},
year = 2007,
pages = {868--873},
organization = {IEEE Press Piscataway, NJ, USA}
}
@article{morLiBSetal08,
author = {Y.~T. Li and Z. Bai and Y. Su and X. Zeng},
title = {Model Order Reduction of Parameterized Interconnect Networks
via a Two-Directional {A}rnoldi Process},
journal = ieeetranscadcs,
year = 2008,
volume = 27,
number = 9,
pages = {1571--1582}
}
@article{morLiD06,
author = {Li, A. and Dowell, E.~H.},
title = {Modal reduction of mathematical models of biological
molecules},
journal = jcomputphys,
year = 2006,
volume = 211,
number = 1,
pages = {262--288},
publisher = {Elsevier}
}
@article{morLiDNetal15,
author = {Li, C. and Du, Z. and Ni, Y. and Zhang, G.},
title = {Reduced Model-Based Coordinated Design of Decentralized Power
System Controllers},
journal = ieeetransps,
year = 2015,
volume = 31,
number = 3,
pages = {2172--2181},
doi = {10.1109/TPWRS.2015.2456240}
}
@inproceedings{morLiFBetal12,
author = {Li, S. and Feng, L. and Benner, P. and Seidel-Morgenstern, A.},
title = {Efficient optimization of simulated moving bed processes using
reduced order models},
booktitle = {European Symposium on Computer Aided Process Engineering},
year = 2012,
editor = {Bogle, David Lockhart and Fairweather, Michael},
volume = 30,
series = {Computer Aided Chemical Engineering},
pages = {1232--1236},
address = {London, UK},
publisher = {Elsevier},
doi = {10.1016/B978-0-444-59520-1.50105-6}
}
@article{morLiFBetal14,
author = {Li, S. and Feng, L. and Benner, P. and Seidel-Morgenstern,
A.},
title = {Using Surrogate Models for Efficient Optimization of Simulated
Moving Bed Chromatography},
journal = {Computers \& Chemical Engineering},
volume = {67},
year = 2014,
pages = {121--132},
doi = {10.1016/j.compchemeng.2014.03.024}
}
@inproceedings{morLiLP05,
author = {X. Li and P. Li and L.~T. Pileggi},
title = {Parameterized interconnect order reduction with
explicit-and-implicit multi-parameter moment matching for
inter/ intra-die variations},
booktitle = {Proc. IEEE/ACM Int. Conf. Comput.-Aided Des.},
year = 2005,
pages = {806--812}
}
@inproceedings{morLiP03,
author = {P. Li and L.~T. Pileggi},
title = {{NORM}: Compact Model Order Reduction of Weakly Nonlinear
Systems},
booktitle = dac,
year = 2003,
pages = {472--477},
doi = {10.1145/775832.775955}
}
@inproceedings{morLiS06,
author = {P. Li and W. Shi},
title = {Model order reduction of linear networks with massive ports
via frequency-dependent port packing},
booktitle = iccad,
year = 2006,
pages = {267--272}
}
@article{morLiW01,
author = {J.-R. Li and J. White},
title = {Reduction of large circuit models via low rank approximate
{G}ramians},
journal = intjappcompsci,
year = 2001,
volume = 11,
number = 5,
pages = {1151--1171},
url = {http://eudml.org/doc/207549}
}
@inproceedings{morLiW99,
author = {Li, J.-R. and White, J.},
title = {Efficient model reduction of interconnect via approximate
system {G}ramians},
booktitle = {1999 IEEE/ACM International Conference on Computer-Aided
Design. Digest of Technical Papers},
year = 1999,
pages = {380--383},
doi = {10.1109/ICCAD.1999.810679}
}
@inproceedings{morLiWW99,
author = {J.-R. Li and F. Wang and J. White},
title = {An efficient {L}yapunov equation-based approach for generating
reduced-order models of interconnect},
booktitle = {Proc.~36th IEEE/ACM Design Automation Conference},
year = 1999,
pages = {1--6},
address = {New Orleans, LA}
}
@article{morLiYFetal14,
author = {Li, S. and Yue, Y. and Feng, L. and Benner, P. and
Seidel-Morgenstern, A.},
title = {Model reduction for linear simulated moving bed chromatography
systems using {K}rylov-subspace methods},
journal = {AIChE-J.},
year = 2014,
volume = 60,
number = 11,
pages = {3773--3783},
issn = {0001-1541},
doi = {10.1002/aic.14561},
publisher = {American Institute of Chemical Engineers (AIChE)},
address = {New York}
}
@article{morLieBK05,
author = {W. Liebermeister and U. Baur and E. Klipp},
title = {Biochemical network models simplified by balanced truncation},
journal = {FEBS Journal (formerly known as European Journal of
Biochemistry)},
year = 2005,
volume = 272,
pages = {4034--4043},
month = aug,
issue = 16
}
@inproceedings{morLieBRetal04,
author = {Lienemann, J. and Billger, D. and Rudnyi, E.~B. and Greiner,
A. and Korvink, J.~G.},
title = {{MEMS} Compact Modeling Meets Model Order Reduction: Examples
of the Application of {A}rnoldi Methods to Microsystem
Devices},
booktitle = {Technical Proceedings of the 2004 Nanotechnology Conference
and Trade Show},
year = 2004,
pages = {303--306},
address = {Boston},
publisher = {Nano Science and Technology Institute},
url = {https://nsti.org/publications/Nanotech/2004/pdf/B2-73.pdf}
}
@article{morLieFWetal13,
author = {Lieberman, C.~E. and Fidkowski, K. and Willcox, K. and Van
Bloemen Waanders, B.},
title = {Hessian-based model reduction: large-scale inversion and
prediction},
journal = {Int. J. Numer. Methods Fluids},
year = 2013,
volume = 71,
number = 2,
pages = {135--150},
doi = {10.1002/fld.3650}
}
@article{morLieRK06,
author = {J. Lienemann and E.~B. Rudnyi and J.~G. Korvink},
title = {{MST MEMS} model order reduction: Requirements and benchmarks},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {469--498},
doi = {10.1016/j.laa.2005.04.002}
}
@phdthesis{morLil20,
author = {Liljegren-Sailer, B.},
title = {On port-{H}amiltonian modeling andstructure-preserving model
reduction},
school = {University of Trier},
year = 2020,
type = {Dissertation},
url = {https://nbn-resolving.org/urn:nbn:de:hbz:385-1-14498}
}
@article{morLilG24,
author = {Liljegren-Sailer, B. and Gosea, I.~V.},
title = {Data-driven and low-rank implementations of {B}alanced
{S}ingular {P}erturbation {A}pproximation},
journal = siamscicomp,
year = 2024,
volume = 46,
number = 1,
pages = {A483-A507},
doi = {10.1137/23M155791X}
}
@incollection{morLilM17,
author = {Liljegren-Sailer, B. and Marheineke, M.},
title = {A Structure-Preserving Model Order Reduction Approach for
Space-Discrete Gas Networks with Active Elements},
booktitle = {Progress in Industrial Mathematics at ECMI 2016},
publisher = {Springer},
year = 2017,
editor = {Quintela, P. and Barral, P. and G{\'o}mez, D. and Pena, F.~J.
and Rodr{\'\i}guez, J. and Salgado, P. and
V{\'a}zquez-M{\'e}ndez, M.~E.},
volume = 26,
series = {Mathematics in Industry},
pages = {439--446},
doi = {10.1007/978-3-319-63082-3_69}
}
@article{morLinBW07,
author = {Y. Lin and L. Bao and Y. Wei},
title = {A model-order reduction method based on {K}rylov subspace for
{MIMO} bilinear dynamical systems},
journal = jappmathcom,
year = 2007,
volume = 25,
number = {1-2},
pages = {293--304}
}
@book{morLit79,
author = {Litz, L.},
title = {Reduktion der Ordnung linearer Zustandsraummodelle mittels
modaler Verfahren},
publisher = {Hochschul-Verlag},
year = 1979,
volume = 4,
series = {Hochschulsammlung Ingenieurwissenschaft : Datenverarbeitung},
address = {Stuttgart},
pages = 164
}
@article{morLiuA86,
author = {Y. Liu and B.~D.~O. Anderson},
title = {Controller reduction via stable factorization and balancing},
journal = intcontrol,
year = 1986,
volume = 44,
pages = {507--531}
}
@article{morLiuA89,
author = {Liu, Y. and Anderson, B.~D.~O.},
title = {Singular perturbation approximation of balanced systems},
journal = {Internat. J. Control},
year = 1989,
volume = 50,
number = 4,
pages = {1379--1405},
doi = {10.1080/00207178908953437}
}
@inproceedings{morLiuPS99,
author = {Y. Liu and L.~T. Pileggi and A.~J. Strojwas},
title = {Model order-reduction of {RC(L)} interconnect including
variational analysis},
booktitle = {Proc. 36th IEEE/ACM Des. Autom. Conf.},
year = 1999,
pages = {201--206}
}
@inproceedings{morLiuS00,
author = {W.~Q. Liu and V. Sreeram},
title = {Model reduction of singular systems},
booktitle = {Proc. 39th IEEE Conf. Dec. Control 2000},
year = 2000,
pages = {2373--2378}
}
@article{morLiuST98,
author = {Liu, W.~Q. and Sreeram, V. and Teo, K.~L.},
title = {Model reduction for state-space symmetric systems},
journal = scl,
year = 1998,
volume = 34,
number = 4,
pages = {209--215},
doi = {10.1016/S0167-6911(98)00024-3}
}
@inproceedings{morLiuST98a,
author = {Liu, W.~Q. and Sreeram, V. and Teo, K.~L.},
title = {Model reduction and ${H}_\infty$ norm computation for
state-space symmetric systems},
booktitle = {Proceedings of the 37th IEEE Conference on Decision and
Control},
year = 1998,
pages = {2195--2200},
doi = {10.1109/CDC.1998.758666}
}
@inproceedings{morLiuTLetal05,
author = {P. Liu and X.-D. Tan and H. Li and Z. Qi and J. Kong and
B. McGaughy and L. He},
title = {An efficient method for termical reduction of interconnect
circuits considering delay variations},
booktitle = iccad,
year = 2005,
pages = {820--825}
}
@article{morLofM91,
author = {L{\"{o}}ffler, H.~P. and Marquardt, W.},
title = {Order reduction of non-linear differential-algebraic process
models},
journal = {J. Process Control},
year = 1991,
volume = 1,
number = 1,
pages = {32--40},
doi = {10.1016/0959-1524(91)87005-I}
}
@article{morLoh94,
author = {Lohmann, B.},
title = {Ordnungsreduktion und {D}ominanzanalyse nichtlinearer
{S}ysteme},
journal = atautom,
year = 1994,
volume = 42,
pages = {466--474}
}
@article{morLovMR06,
author = {L{\o}vgren, A.~E. and Maday, Y. and R{\o}nquist, E.~M.},
title = {A reduced basis element method for the steady {S}tokes
problem},
journal = m2an,
year = 2006,
volume = 40,
pages = {529--552}
}
@article{morLuMM14,
author = {Lu, Y. and Marheineke, M. and Mohring, J.},
title = {Interpolation-based nonlinear parametric {MOR} for gas
pipelines},
journal = pamm,
volume = 14,
pages = {971--972},
year = 2014,
doi = {10.1002/pamm.201410466}
}
@incollection{morLuMM16,
author = {Lu, Y. and Marheineke, M. and Mohring, J.},
title = {Stability-Preserving Interpolation Strategy for Parametric
{MOR} of Gas Pipeline-Networks},
booktitle = {Progress in Industrial Mathematics at ECMI 2016},
publisher = {Springer},
year = 2016,
editor = {Quintela, P. and Barral, P. and G{\'o}mez, D. and Pena, F.~J.
and Rodr{\'\i}guez, J. and Salgado, P. and
V{\'a}zquez-M{\'e}ndez, M.~E.},
volume = 26,
series = {Mathematics in Industry},
pages = {431--437},
doi = {10.1007/978-3-319-63082-3_68}
}
@incollection{morLuMM17,
author = {Lu, Y. and Marheineke, M. and Mohring, J.},
title = {Interpolation Strategy for {BT}-Based Parametric {MOR} of Gas
Pipeline-Networks},
booktitle = {Model Reduction of Parametrized Systems},
publisher = {Springer},
year = 2017,
editor = {Benner, P. and Ohlberger, M. and Patera, A. and Rozza G. and
Urban, K.},
volume = 17,
series = {MS \& A},
pages = {387--401},
doi = {10.1007/978-3-319-58786-8_24}
}
@article{morLucAB15,
author = {De Luca, G. and Antonini, G. and Benner, P.},
title = {Parallel Model Order Reduction of Sparse
Electromagnetic/Circuit Models},
journal = {Appl. Comput. Electrom.},
year = 2015,
volume = 30,
number = 1,
pages = {1--21},
url = {http://acemap.sjtu.edu.cn/paper/paperpage?PaperID=5922479B}
}
@inproceedings{morLucGB13,
author = {De Luca, G. and Antonini, G. and Benner, P.},
title = {A parallel, adaptive multi-point model order reduction
algorithm},
booktitle = {IEEE 22nd Conference on Electrical Performance of Electronic
Packaging and Systems, EPEPS 2013},
year = 2013,
pages = {115--118},
address = {San Jose, US},
isbn = {978-146732536-3},
doi = {10.1109/EPEPS.2013.6703479}
}
@book{morLuoC19,
author = {Luo, Z. and Chen, G.},
title = {Proper Orthogonal Decomposition Methods for Partial
Differential Equations},
publisher = {Academic Press},
series = {Mathematics in Science and Engineering},
year = {2019},
doi = {10.1016/C2017-0-04826-7}
}
@inproceedings{morMaD88,
author = {Ma, X. and De~Abreu-Garcia, J.~A.},
title = {On the Computation of Reduced Order Models of Nonlinear
Systems using Balancing Technique},
booktitle = {Proc. 27th IEEE Conf. Decis. Control},
year = 1988,
volume = 2,
pages = {1165--1166},
doi = {10.1109/CDC.1988.194502}
}
@article{morMaK07,
author = {Ma, M. and Khazaka, R.},
title = {Model Order Reduction with Parametric Port Formulation},
journal = ieeetransap,
year = 2007,
volume = 30,
number = 4,
pages = {763--775},
publisher = {IEEE}
}
@inproceedings{morMaTK05,
author = {Ma, M. and Tze-Mun Leung, A. and Khazaka, R.},
title = {Multi-level parametric model order reduction for interconnect
networks},
booktitle = {IEEE 14th Topical Meeting on Electrical Performance of
Electronic Packaging, 2005},
year = 2005,
pages = {235--238},
month = oct
}
@inproceedings{morMaTK06,
author = {Ma, M. and Tze-Mun Leung, A. and Khazaka, R.},
title = {Sparse {M}acromodels for {P}arametric {N}etworks},
booktitle = {Proc. IEEE International Symposium on Circuits and Systems},
year = 2006,
month = may
}
@article{morMabH17,
author = {Maboudi Afkham, B. and Hesthaven, J.~S.},
title = {Structure Preserving Model Reduction of Parametric
{H}amiltonian Systems},
journal = siamscicomp,
volume = {39},
number = {6},
pages = {A2616--A2644},
year = {2019},
doi = {10.1137/17M1111991}
}
@article{morMabH19,
author = {Maboudi Afkham, B. and Hesthaven, J.S.},
title = {Structure-Preserving Model-Reduction of Dissipative
{H}amiltonian Systems},
journal = {J. Sci. Comput.},
volume = {81},
pages = {3--21},
year = {2019},
doi = {10.1007/s10915-018-0653-6}
}
@article{morMadPT02,
author = {Maday, Y.and Patera, A.~T. and Turinici, G.},
title = {A priori convergence theory for reduced-basis approximations
of single-parameter elliptic partial differential equations},
journal = jscicomput,
year = 2002,
volume = 17,
number = {1--4},
pages = {437--446},
coden = {JSCOEB},
issn = {0885-7474}
}
@article{morMaeG06,
author = {Maess, M. and Gaul, L.},
title = {Substructuring and model reduction of pipe components
interacting with acoustic fluids},
journal = {Mech. Syst. Signal Proc.},
year = 2006,
volume = 20,
number = 1,
pages = {45--64},
publisher = {Elsevier}
}
@inproceedings{morMagBG10,
author = {C. Magruder and C. Beattie and S. Gugercin},
title = {Rational Krylov methods for optimal {$\mathcal{L}_2$} model
reduction},
booktitle = {49th IEEE Conference on Decision and Control (CDC)},
year = 2010,
pages = {6797--6802},
doi = {10.1109/CDC.2010.5717454},
month = dec
}
@inproceedings{morMahG21,
author = {Mahmoudi, M.~H. and Grundel, S.},
title = {Estimation of time-dependent parameters in a simple
compartment model using {Covid 19} data},
booktitle = {21st ECMI Conference on Industrial and Applied Mathematics},
volume = {},
pages = {},
year = {2021},
doi = {},
note = {Submitted}
}
@phdthesis{morMal17,
author = {Malik, M.~H.},
title = {Reduced order modeling for smart grids' simulation and
optimization},
school = {{\'{E}}cole Centrale de Nantes \& Universitat
Polit{\`{e}}cnica de Catalunya},
year = {2017},
url = {https://hal.inria.fr/tel-02149921}
}
@article{morMalBCetal16,
author = {Malik, M.~H. and Borzacchiello, D. and Chinesta, F. and
Diez, P.},
title = {Reduced order modeling for transient simulation of power
systems using tracetory piece-wise linear approximation},
journal = {Advanced Modeling and Simulation in Engineering Sciences},
year = {2016},
volume = {3},
pages = {31},
doi = {10.1186/s40323-016-0084-6}
}
@article{morManFKetal15,
author = {Mangold, M. and Feng, L. and Khlopov, D. and Palis, S. and
Benner, P. and Binev, D. and Seidel-Morgenstern, A.},
title = {Nonlinear model reduction of a continuous fluidized bed
crystallizer},
journal = {Journal of Computational and Applied Mathematics},
year = 2015,
volume = 289,
pages = {253--266},
doi = {10.1016/j.cam.2015.01.028}
}
@techreport{morManFPetal25,
author = {Manvelyan-Stroot, D. and Filanova,Y. and Pontes Duff, I. and
Benner, P. and Wever, U.},
title = {Inference of Substructured Reduced-Order Models for Dynamic
Contact from Contact-free Simulations},
institution = {arXiv},
year = 2025,
type = {e-print},
number = {2505.18050},
note = {math.NA},
doi = {10.48550/arXiv.2505.18050}
}
@article{morManN15,
author = {Manzoni, A. and Negri, F.},
title = {Heuristic strategies for the approximation of stability
factors in quadratically nonlinear parametrized {PDE}s},
journal = advcomputmath,
year = 2015,
volume = 41,
number = 5,
pages = {1255--1288},
doi = {10.1007/s10444-015-9413-4}
}
@inproceedings{morMar02,
author = {Marquardt, W.},
title = {Nonlinear Model Reduction for Optimization Based Control of
Transient Chemical Processes},
booktitle = {AIChE Symposium Series},
year = 2002,
pages = {12--42},
url = {http://hdl.handle.net/10068/132792},
extra = {http://www.nt.ntnu.no/users/skoge/prost/proceedings/incoop_workshop_jan03/PUBLIC~1/CPC_2001.PDF}
}
@article{morMar66,
author = {Marshall, S.~A.},
title = {An Approximate Method for reducing the Order of a Linear
System},
journal = intcontrol,
year = 1966,
volume = 10,
pages = {642--643}
}
@article{morMarLP96,
author = {N. Martins and L.~T.~G. Lima and H.~J.~C.~P. Pinto},
title = {Computing dominant poles of power system transfer functions},
journal = ieeetransps,
year = 1996,
volume = 11,
number = 1,
pages = {162--170},
issn = {0885-8950},
doi = {10.1109/59.486093}
}
@article{morMarRH15,
author = {Martini, I. and Rozza, G. and Haasdonk, B.},
title = {Reduced basis approximation and a-posteriori error estimation
for the coupled {S}tokes-{D}arcy system},
journal = advcomputmath,
year = 2015,
volume = 41,
number = 5,
pages = {1131--1157},
doi = {10.1007/s10444-014-9396-6}
}
@article{morMarRH17,
author = {Martini, I. and Rozza, G. and Haasdonk, B.},
title = {Certified Reduced Basis Approximation for the Coupling of
Viscous and Inviscid Parametrized Flow Models},
journal = jscicomput,
year = 2017,
pages = {1--23},
doi = {10.1007/s10915-017-0430-y}
}
@inproceedings{morMatFBetal23,
author = {E. Mattucci. and L. Feng and P. Benner and D. Romano and
G. Antonini},
title = {Fast Frequency-Domain Analysis for Parametric Electromagnetic
Models Using Deep Learning},
booktitle = {IEEE 32nd Conference on Electrical Performance of Electronic
Packaging and Systems (EPEPS)},
year = 2023,
publisher = {IEEE},
doi = {10.1109/EPEPS58208.2023.10314879}
}
@article{morMatG06,
author = {Matichard, F. and Gaudiller, L.},
title = {Hybrid modal nodal method for multibody smart structure model
reduction: application to modal feedback control},
journal = {Smart Materials and Structures},
year = 2006,
volume = 15,
number = 6,
pages = 1887,
doi = {10.1088/0964-1726/15/6/045},
publisher = {IOP PUBLISHING}
}
@article{morMatM03,
author = {Matthies, H.~G. and Meyer, M.},
title = {Nonlinear {G}alerkin methods for the model reduction of
nonlinear dynamical systems},
journal = {Computers and Structures},
year = 2003,
volume = 81,
number = 12,
pages = {1277--1286},
doi = {10.1016/S0045-7949(03)00042-7}
}
@article{morMayA07,
author = {Mayo, A.~J. and Antoulas, A.~C.},
title = {A framework for the solution of the generalized realization
problem},
journal = linalgapp,
year = 2007,
volume = 425,
number = {2--3},
pages = {634--662},
note = {Special Issue in honor of P.~A. Fuhrmann, Edited by
A.~C. Antoulas, U. Helmke, J. Rosenthal, V. Vinnikov, and
E. Zerz},
doi = {10.1016/j.laa.2007.03.008}
}
@inbook{morMeh08,
author = {Mehner, J.},
title = {Introduction to Microsystem Technology},
chapter = {8: Design of Microsystems},
publisher = {John Wiley \& Sons Ltd.},
year = 2008,
pages = {255--282},
note = {ISBN 978-0-470-05861-9},
annote = {editor : {G. Gerlach und W. D{\"{o}}tzel}}
}
@conference{morMehDSetal03,
author = {Mehner, J.~E. and Doetzel, W. and Schauwecker, B. and
Ostergaard, D.},
title = {Reduced order modeling of fluid structural interactions
in {MEMS} based on model projection techniques},
booktitle = {TRANSDUCERS, Solid-State Sensors, Actuators and
Microsystems, 12th International Conference on, 2003},
year = {2003},
volume = {2},
pages = {465--470}
}
@article{morMehGS00,
author = {Mehner, J.~E. and Gabbay, L.~D. and Senturia, S.~D.},
title = {Computer-aided generation of nonlinear reduced-order dynamic
macromodels -- {II: S}tress-stiffened case},
journal = {Microelectromechanical Systems},
year = 2000,
volume = 9,
number = 2,
pages = {270--278}
}
@inproceedings{morMehS05,
author = {Mehrmann, V. and Stykel, T.},
title = {Balanced Truncation Model Reduction for Large-Scale Systems in
Descriptor Form},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
editor = {P. Benner and V. Mehrmann and D.~C. Sorensen},
volume = 45,
series = lncse,
pages = {83--115},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
doi = {10.1007/3-540-27909-1_3}
}
@article{morMeiL67,
author = {Meier, L. and Luenberger, D.~G.},
title = {Approximation of linear constant systems},
journal = ieeetransac,
year = 1967,
volume = 12,
number = 5,
pages = {585--588},
doi = {10.1109/TAC.1967.1098680}
}
@inproceedings{morMelLV12,
author = {Melchior, S. and Legat, V. and Van~Dooren, P.},
title = {{G}ramian Based Model Reduction of Nonlinear {MIMO} Systems},
booktitle = {Mathematical Theory of Networks and Systems},
year = 2012,
note = {(Extended Abstract)},
url = {http://www.mtns2012.conference.net.au/Extended\%20Abstract/MTNS2012_0170_paper.pdf}
}
@article{morMenWZetal18,
author = {Meng, X. and Wang, Q. and Zhou, N. and Xiao, S. and Chi, Y.},
title = {Multi-time scale model order reduction and stability
consistency certification of inverter-interfaced {DG} system
in {AC} microgrid},
journal = {Energies},
year = {2018},
volume = {11},
number = {1},
pages = {254},
doi = {10.3390/en11010254}
}
@phdthesis{morMey02,
author = {Meyer, M.},
title = {Reduktionsmethoden zur {S}imulation der aeroelastischen
{W}echselwirkung von {W}indkraftanlagen},
school = {TU Braunschweig},
year = 2002,
type = {{Ph.D. Thesis}},
address = {Braunschweig, Germany}
}
@article{morMeyM03,
author = {Meyer, M. and Matthies, H.~G.},
title = {Efficient model reduction in non-linear dynamics using the
{K}arhunen-{L}o{\`e}ve expansion and dual-weighted-residual
methods},
journal = {Comp. Mech.},
year = 2003,
volume = 31,
number = {1-2},
pages = {179--191}
}
@article{morMeyS96,
author = {Meyer, D.~G. and Srinivasan, S.},
title = {Balancing and model reduction for second-order form linear
systems},
journal = ieeetransac,
year = 1996,
volume = 41,
number = 11,
pages = {1632--1644},
doi = {10.1109/9.544000}
}
@article{morMez05,
author = {Mezic, I.},
title = {Spectral Properties of Dynamical Systems, Model Reduction and
Decompositions},
journal = {Nonlinear Dynamics},
year = 2005,
volume = 41,
number = 1,
pages = {309--325},
doi = {10.1007/s11071-005-2824-x}
}
@inproceedings{morMij06,
author = {Mijalkovic, S.},
title = {Truly Nonlinear Model-Order Reduction Techniques},
booktitle = {Proc. 7th. Int. Conf. on Thermal, Mechanical and Multiphysics
Simulation and Experiments in Micro-Electronics and
Micro-Systems, EuroSimE},
year = 2006,
pages = {1--5}
}
@article{morMilRS16,
author = {Milk, R. and Rave, S. and Schindler, F.},
title = {{pyMOR} -- Generic Algorithms and Interfaces for Model Order
Reduction},
journal = siamscicomp,
year = 2016,
volume = 38,
number = 5,
pages = {S194--S216},
doi = {10.1137/15M1026614}
}
@article{morMilS09,
author = {Milano, F. and Srivastava, K.},
title = {Dynamic {REI} equivalents for short circuit and transient
stability analyses},
journal = {Electric Power Systems Research},
year = {2009},
volume = {79},
number = {6},
pages = {878--887},
doi = {10.1016/j.epsr.2008.11.007}
}
@phdthesis{morMli20,
author = {Mlinari{\'c}, P.},
title = {Structure-preserving model order reduction for network
systems},
school = ovgu,
year = 2020,
type = {{D}issertation},
address = {Magdeburg, Germany},
doi = {10.25673/33570}
}
@techreport{morMliBG23,
author = {Mlinari{\'{c}}, P. and Benner, P. and Gugercin, S.},
title = {Interpolatory $\mathcal{H}_2$-optimality Conditions for
Structured Linear Time-invariant Systems},
institution = {arXiv},
year = 2023,
type = {e-print},
number = {2310.10618},
note = {math.NA},
doi = {10.48550/arXiv.2310.10618}
}
@techreport{morMliBG24,
author = {Mlinari{\'{c}}, P. and Benner, P. and Gugercin, S.},
title = {Interpolatory Necessary Optimality Conditions for
Reduced-order Modeling of Parametric Linear Time-invariant
Systems},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2401.10047},
note = {math.OC},
fauthor = {Petar Mlinari{\'{c}} and Peter Benner and Serkan Gugercin},
doi = {10.48550/arXiv.2401.10047}
}
@inproceedings{morMliGB15,
author = {Mlinari{\'c}, P. and Grundel, S. and Benner, P.},
title = {Efficient model order reduction for multi-agent systems using
{QR} decomposition-based clustering},
booktitle = {54th IEEE Conference on Decision and Control (CDC), Osaka,
Japan},
year = 2015,
pages = {4794--4799},
month = dec,
doi = {10.1109/CDC.2015.7402967}
}
@inproceedings{morMliGB16,
author = {Mlinari{\'c}, P. and Grundel, S. and Benner, P.},
title = {Clustering-Based Model Order Reduction for Multi-Agent Systems
with General Linear Time-Invariant Agents},
booktitle = {Proceedings of the 22nd International Symposium on
Mathematical Theory of Networks and Systems},
year = 2016,
pages = {230--235},
address = {Minneapolis, MN, USA},
url = {http://hdl.handle.net/11299/181518}
}
@inproceedings{morMliICetal18,
author = {Mlinari{\'c}, P. and Ishizaki, T. and Chakrabortty, A. and
Grundel, S. and Benner, P. and Imura, J.-{i}.},
title = {Synchronization and Aggregation of Nonlinear Power Systems
with Consideration of Bus Network Structures},
booktitle = {2018 European Control Conference (ECC)},
year = 2018,
pages = {2266--2271},
doi = {10.23919/ECC.2018.8550528}
}
@incollection{morMliRS21,
author = {Mlinari{\'c}, P. and Rave, S. and Saak, J.},
title = {Parametric model order reduction using {pyMOR}},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
publisher = {Birkh{\"{a}}user, Cham},
pages = {357--367},
year = 2021,
doi = {10.1007/978-3-030-72983-7_17}
}
@article{morMoeRS11,
author = {M{\"{o}}ckel, J. and Reis, T. and Stykel, T.},
title = {Linear-quadratic {G}aussian balancing for model reduction of
differential-algebraic systems},
journal = intcontrol,
year = 2011,
volume = 84,
number = 10,
pages = {1627--1643},
doi = {10.1080/00207179.2011.622791}
}
@inproceedings{morMohHHetal04,
author = {Mohring, J. and Hoffmann, J. and Halfmann, T. and Zemitis, A.
and Basso, G. and Lagoni, P.},
title = {Automated Model Reduction of Complex Gas Pipeline Networks},
booktitle = {PSIG Annual Meeting},
year = 2004,
pages = {PSIG-04B3},
url = {https://www.onepetro.org/conference-paper/PSIG-04B3}
}
@inproceedings{morMonBL23,
author = {Monem Abdelhafez, S. and Benner, P. and Lessig, C.},
title = {Improved Projective Dynamics Global Using Snapshots-based
Reduced Bases},
booktitle = {{ACM SIGGRAPH 2023 Posters}},
year = 2023,
series = {SIGGRAPH '23},
address = {New York, NY, USA},
publisher = {Association for Computing Machinery},
isbn = 9798400701528,
doi = {10.1145/3588028.3603665}
}
@inproceedings{morMonS14,
author = {Monshizadeh, N. and van der Schaft, A.},
title = {Structure-preserving model reduction of physical network
systems by clustering},
booktitle = {53rd IEEE Conference on Decision and Control (CDC)},
year = 2014,
pages = {4434--4440},
month = dec,
doi = {10.1109/CDC.2014.7040081}
}
@inproceedings{morMonTC11,
author = {Monshizadeh, N. and Trentelman, H.~L. and Camlibel, M.~K.},
title = {Simultaneous balancing and model reduction of switched linear
systems},
booktitle = {50th IEEE Conference on Decision and Control and European
Control Conference (CDC-ECC), Orlando, Florida},
year = 2011,
pages = {6552--6557},
doi = {10.1109/CDC.2011.6160263}
}
@article{morMonTC13,
author = {Monshizadeh, N. and Trentelman, H.~L. and Camlibel, M.~K.},
title = {Stability and synchronization preserving model reduction of
multi-agent systems},
journal = scl,
year = 2013,
volume = 62,
number = 1,
pages = {1--10},
issn = {0167-6911},
doi = {10.1016/j.sysconle.2012.10.011}
}
@article{morMonTC14,
author = {Monshizadeh, N. and Trentelman, H.~L. and Camlibel, M.~K.},
title = {Projection-Based Model Reduction of Multi-Agent Systems Using
Graph Partitions},
journal = ieeetransconnetw,
year = 2014,
volume = 1,
number = 2,
pages = {145--154},
month = jun,
doi = {10.1109/TCNS.2014.2311883},
issn = {2325-5870}
}
@phdthesis{morMoo07,
author = {Moosmann, C.},
title = {{ParaMOR} - Model Order Reduction for parameterized {MEMS}
applications},
school = {Albert-Ludwigs-Universit{\"{a}}t Freiburg},
year = 2007,
url = {http://nbn-resolving.de/urn:nbn:de:bsz:25-opus-39719}
}
@inproceedings{morMoo78,
author = {Moore, B.~C.},
title = {Singular Value Analysis of Linear Systems},
booktitle = {1978 IEEE Conference on Decision and Control including the
17th Symposium on Adaptive Processes},
year = 1978,
pages = {66--73},
doi = {10.1109/CDC.1978.267894}
}
@inproceedings{morMoo79,
author = {Moore, B.~C.},
title = {Principal Component Analysis in Nonlinear Systems: Preliminary
Results},
booktitle = {18th IEEE Conference on Decision and Control including the
Symposium on Adaptive Processes},
year = 1979,
volume = 2,
pages = {1057--1060},
doi = {10.1109/CDC.1979.270114}
}
@article{morMoo81,
author = {Moore, B.~C.},
title = {Principal component analysis in linear systems:
controllability, observability, and model reduction},
journal = ieeetransac,
year = 1981,
volume = {AC--26},
number = 1,
pages = {17--32},
doi = {10.1109/TAC.1981.1102568}
}
@inproceedings{morMooG05,
author = {Moosmann, C. and Greiner, A.},
title = {Convective Thermal Flow Problems},
booktitle = {Dimension Reduction of Large-Scale Systems},
year = 2005,
volume = 45,
pages = {341--343},
publisher = {Springer},
doi = {10.1007/3-540-27909-1_16}
}
@inproceedings{morMooK06,
author = {C. Moosmann and J.~G. Korvink},
title = {Automatic parametric {MOR} for {MEMS} design},
booktitle = {Tagungsband GMA-FA 1.30, 'Modellbildung, Identifizierung und
Simulation in der Automatisierungstechnik', Workshop am
Bostalsee, 27.-29.9.2009},
year = 2006,
pages = {89--99}
}
@inproceedings{morMooRGetal04,
author = {C. Moosmann and E.~B. Rudnyi and A. Greiner and J.~G. Korvink},
title = {Model Order Reduction for Linear Convective Thermal Flow},
booktitle = {THERMINIC 2004},
year = 2004,
pages = {317--321},
address = {Sophia Antipolis, France},
url = {http://modelreduction.rudnyi.ru/doc/papers/moosmann04THERMINIC.pdf}
}
@inproceedings{morMooRGetal05,
author = {C. Moosmann and E.~B. Rudnyi and A. Greiner and J.~G. Korvink
and M. Hornung},
title = {Parameter Preserving Model Order Reduction of a Flow Meter},
booktitle = {2005 NSTI Nanotech, Nanotechnology Conference and Trade Show
2005},
year = 2005,
pages = {8--12}
}
@article{morMunWWetal00,
author = {Munteanu, I. and Wittig, T. and Weiland, T. and Ioan, D.},
title = {{FIT/PVL} circuit-parameter extraction for general
electromagnetic devices},
journal = ieeetransmag,
year = 2000,
volume = 36,
number = {4 Part 1},
pages = {1421--1425}
}
@article{morMus00,
author = {Muscato, G.},
title = {Parametric generalized singular perturbation approximation for
model order reduction},
journal = ieeetransac,
year = 2000,
volume = 45,
number = 2,
pages = {339--343},
doi = {10.1109/9.839963}
}
@article{morMusG91,
author = {Mustafa, D. and Glover, K.},
title = {Controller Reduction by $\mathcal{H}_\infty$-Balanced
Truncation},
journal = ieeetransac,
year = 1991,
volume = 36,
number = 6,
pages = {668--682},
doi = {10.1109/9.86941}
}
@inproceedings{morNakNA07,
author = {N. Nakhla and M.~S. Nakhla and R. Achar},
title = {Sparse and Passive Reduction of Massively Coupled Large
Multiport Interconnects},
booktitle = iccad,
year = 2007,
pages = {622--626}
}
@techreport{morNauKVetal24,
author = {Naumann, C. and Kumar, T.~S. and Vettermann, J. and Geist,
A. and Saak, J. and Benner, P. and Ihlenfeldt, S.},
title = {Training of artificial neural networks with reduced-order
models for the prediction of thermal errors on machine tools},
institution = {Research Square},
year = 2024,
type = {preprint},
month = aug,
doi = {10.21203/rs.3.rs-4744195/v1}
}
@article{morNguyenPP08,
author = {N. Nguyen and A.~T. Patera and J. Peraire},
title = {A best points interpolation method for efficient approximation
of parametrized functions},
journal = intnumereng,
year = 2008,
volume = 73,
number = 4,
pages = {521--543}
}
@inproceedings{morNilR09,
author = {Nilsson, O. and Rantzer, A.},
title = {A novel nonlinear model reduction method applied to automotive
controller software},
booktitle = {Proc. Am. Control Conf.},
year = 2009,
pages = {4587--4592},
doi = {10.1109/ACC.2009.5159949}
}
@inproceedings{morNilR09a,
author = {Nilsson, O. and Rantzer, A.},
title = {A novel approach to balanced truncation of nonlinear systems},
booktitle = {Proc. Europ. Control Conf.},
year = 2009,
url = {http://ieeexplore.ieee.org/abstract/document/7074628/}
}
@article{morNou09,
author = {A. Nouy},
title = {Recent Developments in Spectral Stochastic Methods for the
Numerical Solution of Stochastic Partial Differential
Equations},
journal = archcompeng,
year = 2009,
volume = 16,
number = 3,
pages = {251--285},
doi = {10.1007/s11831-009-9034-5},
publisher = {Springer Netherlands}
}
@article{morNowKEetal13,
author = {Nowakowski, C. and K{\"{u}}rschner, P. and Eberhard, P. and
Benner, P.},
title = {Model reduction of an elastic crankshaft for elastic multibody
simulations},
journal = zangewmathmech,
year = 2013,
volume = 93,
pages = {198--216},
note = {Available from
\url{http://www.mpi-magdeburg.mpg.de/preprints/}},
publisher = wileyvch,
issn = {1521-4001},
issue = 4,
doi = {10.1002/zamm.201200054}
}
@misc{morOWF,
title = {Oberwolfach Model Reduction Benchmark Collection},
howpublished = {Available at
\url{http://portal.uni-freiburg.de/imteksimulation/downloads/benchmark}},
key = {Oberwolfach}
}
@book{morObiA01,
author = {Obinata, G. and Anderson, B.~D.~O.},
title = {Model Reduction for Control System Design},
publisher = springer,
year = 2001,
series = {Comm. Control Eng.},
address = {London, UK},
doi = {10.1007/978-1-4471-0283-0}
}
@inproceedings{morOdaCP97,
author = {A. Odabasioglu and M. Celik and L.~T. Pileggi},
title = {{PRIMA}: passive reduced-order interconnect macromodeling
algorithm},
booktitle = {Tech. Dig. 1997 IEEE/ACM Intl. Conf. Computer-Aided Design},
year = 1997,
pages = {58--65},
publisher = {IEEE Computer Society Press, Los Alamitos, CA}
}
@article{morOdaCP98,
author = {A. Odabasioglu and M. Celik and L.~T. Pileggi},
title = {{PRIMA}: passive reduced-order interconnect macromodeling
algorithm},
journal = ieeetranscadcs,
year = 1998,
volume = 17,
number = 8,
pages = {645--654}
}
@article{morOhlR13,
author = {Ohlberger, M. and Rave, S.},
title = {Nonlinear reduced basis approximation of parameterized
evolution equations via the method of freezing},
journal = {Comptes Rendus Mathematique},
volume = {351},
number = {23--24},
pages = {901--906},
year = {2013},
doi = {10.1016/j.crma.2013.10.028}
}
@inproceedings{morOhlRS16,
author = {Ohlberger, M. and Rave, S. and Schindler, F.},
title = {Model Reduction for Multiscale Lithium-Ion Battery Simulation},
booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2015},
year = 2016,
editor = {B{\"{u}}lent Karas{\"{o}}zen and Murat Manguo{\u{g}}lu and
M{\"{u}}nevver Tezer-Sezgin and Serdar G{\"{o}}ktepe and
{\"{o}}m{\"{u}}r U{\u{g}}ur},
volume = 112,
series = lncse,
pages = {317--331},
publisher = springer,
doi = {10.1007/978-3-319-39929-4_31}
}
@article{morOliGSetal14,
author = {Olivadese, S.~B. and Grivet-Talocia, S. and Siviero, C. and
Kaller, D.},
title = {Macromodel-Based Iterative Solvers for Simulation of
High-Speed Links With Nonlinear Terminations},
journal = ieeetranscpmt,
year = 2014,
volume = 4,
number = 11,
pages = {1847--1861},
doi = {10.1109/TCPMT.2014.2359982}
}
@article{morOliSGetal15,
author = {Olivadese, S.~B. and Signorini, G. and Grivet-Talocia, S. and
Brenner, P.},
title = {Parameterized and {DC}-Compliant Small-Signal Macromodels of
{RF} Circuit Blocks},
journal = ieeetranscpmt,
year = 2015,
volume = 5,
number = 4,
pages = {508--522},
doi = {10.1109/TCPMT.2015.2403071}
}
@incollection{morOnoM20,
author = {Onorati, A. and Montenegro, G.},
title = {Control-Oriented Gas Dynamic Simulation via Model Order
Reduction},
booktitle = {{1D} and Multi-{D} Modeling Techniques for {IC} Engine
Simulation},
publisher = {SAE},
pages = {221--255},
year = 2020,
doi = {10.4271/9780768099522}
}
@article{morOpdJ88,
author = {P.~C. Opdenacker and E.~A. Jonckheere},
title = {A contraction mapping preserving balanced reduction scheme and
its infinity norm error bounds},
journal = ieeetranscs,
year = 1988,
volume = 35,
number = 2,
pages = {184--189},
doi = {10.1109/31.1720}
}
@article{morOpm12,
author = {M.~R. Opmeer},
title = {Model Order Reduction by Balanced Proper Orthogonal
Decomposition and by Rational Interpolation},
journal = ieeetransac,
year = 2012,
volume = 57,
number = 2,
pages = {472--477}
}
@article{morOpmC04,
author = {Opmeer, M.~R. and Curtain, F.},
title = {Linear Quadratic Gaussian Balancing for Discrete-Time
Infinite-Dimensional Linear Systems},
journal = siamcontrolopt,
year = 2004,
volume = 43,
number = 4,
pages = {1196--1221},
doi = {10.1137/S0363012903431189}
}
@article{morOpmR15,
author = {Opmeer, M.~R. and Reis, T.},
title = {A Lower Bound for the Balanced Truncation Error for {MIMO}
Systems},
journal = ieeetransac,
year = 2015,
volume = 60,
number = 8,
pages = {2207--2212},
doi = {10.1109/TAC.2014.2368232}
}
@article{morOrS08,
author = {Or, A.~C. and Speyer, J.~L.},
title = {Model Reduction of Input-Output Dynamical Systems by Proper
Orthogonal Decomposition},
journal = {J. Guid. Control Dyn.},
year = 2008,
volume = 31,
number = 2,
pages = {322--328},
doi = {10.2514/1.29456}
}
@article{morOrSK12,
author = {Or, A.~C. and Speyer, J.~L. and Kim, J.},
title = {Reduced Balancing Transformations for Large Nonnormal
State-Space Systems},
journal = {J. Guid. Control Dyn.},
year = 2012,
volume = 35,
number = 1,
pages = {129--137},
doi = {10.2514/1.53777}
}
@inproceedings{morOsiDDetal18,
author = {Osipov, D. and Duan, N. and Dimitrovski, A. and Allu, S. and
Simunovic, S. and Sun, K.},
title = {Adaptive model reduction for {P}arareal in time method for
transient stability simulations},
booktitle = {2018 IEEE Power \& Energy Society General Meeting (PESGM)},
year = {2018},
doi = {10.1109/PESGM.2018.8585841}
}
@article{morOsiS18,
author = {Osipov, D. and Sun, K.},
title = {Adaptive nonlinear model reduction for fast power system
simulation},
journal = {IEEE Transactions on Power Systems},
year = {2018},
volume = {33},
number = {6},
pages = {6746--6754},
doi = {10.1109/TPWRS.2018.2835766}
}
@techreport{morPadGPetal25,
author = {Padhi, R. and Gosea, I.~V. and Pontes Duff, I. and Gugercin,
S.},
title = {Data-driven balanced truncation for linear systems with
quadratic outputs},
institution = {arXiv},
year = 2025,
type = {e-prints},
number = {2509.12393},
note = {math.NA, math.DS, submitted to IEEE Control Systems Letters
(L-CSS), September, 2025},
doi = {10.48550/arXiv.2509.12393}
}
@inproceedings{morPaiA81,
author = {Pai, M.~A. and Adgaonkar, R.~P.},
title = {Singular perturbation analysis of nonlinear transients in
power systems},
booktitle = {1981 20th IEEE Conference on Decision and Control including
the Symposium on Adaptive Processes},
year = {1981},
pages = {221--222},
doi = {10.1109/CDC.1981.269515}
}
@article{morPal87,
author = {Pallaske, U.},
title = {Ein Verfahren zur Ordnungsreduktion mathematischer
Prozessmodelle},
journal = {Chem. Ing. Tech.},
year = 1987,
volume = 59,
number = 7,
pages = {604--605},
doi = {10.1002/cite.330590720}
}
@phdthesis{morPan14,
author = {Panzer, H.~K.~F.},
title = {Model Order Reduction by {K}rylov Subspace Methods with Global
Error Bounds and Automatic Choice of Parameters},
school = tum,
year = 2014,
type = {{D}issertation},
address = {Munich, Germany},
url = {https://mediatum.ub.tum.de/doc/1207822/1207822.pdf}
}
@inproceedings{morPanJWetal13,
author = {Panzer, H. and Jaensch, S. and Wolf, T. and Lohmann, B.},
title = {A Greedy Rational {K}rylov Method for {$H_2$}-Pseudooptimal
Model Order Reduction with Preservation of Stability},
booktitle = {Proceedings of the American Control Conference},
year = 2013,
pages = {5512--5517}
}
@article{morPanMEetal10,
author = {H. Panzer and J. Mohring and R. Eid and B. Lohmann},
title = {Parametric Model Order Reduction by Matrix Interpolation},
journal = atautom,
year = 2010,
volume = 58,
number = 8,
pages = {475--484}
}
@inproceedings{morPanWL13,
author = {Panzer, H.~K.~F. and Wolf, T. and Lohmann, B.},
title = {{$H_2$} and {$H_\infty$} Error Bounds for Model Order
Reduction of Second Order Systems by {K}rylov Subspace
Methods},
booktitle = {2013 European Control Conference (ECC), July 17--19, 2013,
Z{\"{u}}rich, Switzerland},
pages = {4484--4489},
year = 2013,
doi = {10.23919/ECC.2013.6669657}
}
@article{morPar92,
author = {Parlett, B.~N.},
title = {Reduction to tridiagonal form and minimal realizations},
journal = siammatrix,
year = 1992,
volume = 13,
number = 2,
pages = {567--593},
fjournal = {SIAM Journal on Matrix Analysis and Applications},
issn = {0895-4798}
}
@inproceedings{morParLPetal99,
author = {Parrilo, P.~A. and Lall, S. and Paganini, F. and Verghese,
G.~C. and Lesieutre, B.~C. and Marsden, J.~E.},
title = {Model reduction for analysis of cascading failures in power
systems},
booktitle = {1999 American Control Conference (ACC)},
year = {1999},
doi = {10.1109/ACC.1999.786351}
}
@article{morParMA19,
author = {Parang, B. and Mohammadi, M. and Arefi, M.~M.},
title = {Residualisation-based model order reduction in power networks
with penetration of photovoltaic resources},
journal = {IET Generation, Transmission \& Distribution},
year = {2019},
volume = {13},
number = {13},
pages = {2619--2626},
doi = {10.1049/iet-gtd.2018.6172}
}
@book{morPatR07,
author = {Patera, A.~T. and Rozza, G.},
title = {Reduced Basis Approximation and a Posteriori Error Estimation
for Parametrized Partial Differential Equations},
publisher = {{MIT}},
year = 2007,
note = {{T}o appear in (tentative rubric) MIT Pappalardo Graduate
Monographs in Mechanical Engineering},
annote = {Version 1.0, Copyright MIT 2006-2007,}
}
@article{morPatSGetal25,
author = {Patel, B. and Sorrentino, A. and Gosea, I.~V. and Antoulas,
A.~C. and Vidakovi{\'{c}}-Koch, T.},
title = {A data-driven, noise-resilient algorithm for extraction of
distribution of relaxation times using the Loewner framework},
journal = {Journal of Power Sources},
year = 2025,
volume = 655,
pages = 237909,
publisher = {Elsevier},
doi = {10.1016/j.jpowsour.2025.237909}
}
@article{morPauA15,
author = {Paul-Dubois-Taine, A. and Amsallem, D.},
title = {An adaptive and efficient greedy procedure for the optimal
training of parametric reduced-order models},
journal = intnumereng,
year = 2015,
volume = 102,
number = 5,
pages = {1262--1292},
doi = {10.1002/nme.4759}
}
@article{morPehW16,
author = {Peherstorfer, B. and Willcox, K.},
title = {Data-driven operator inference for nonintrusive
projection-based model reduction},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = {306},
pages = {196--215},
year = {2016},
doi = {10.1016/j.cma.2016.03.025}
}
@techreport{morPelCGetal24,
author = {Pelling, A.~J.~R. and Cherifi, K. and Gosea, I.~V. and
Sarradj, E.},
title = {Snapshot-driven rational interpolation of parametric systems},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2406.01236},
note = {math.DS},
doi = {10.48550/arXiv.2406.01236}
}
@article{morPen06,
author = {T. Penzl},
title = {Algorithms for model reduction of large dynamical systems},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {322--343},
note = {(Reprint of Technical Report SFB393/99-40, TU Chemnitz,
1999.)},
doi = {10.1016/j.laa.2006.01.007}
}
@techreport{morPen99,
author = {T. Penzl},
title = {Algorithms for model reduction of large dynamical systems},
institution = {Sonderforschungsbereich 393 {\itshape Numerische Simulation
auf massiv parallelen Rechnern}, TU Chem\-nitz},
year = 1999,
type = {Technical report},
number = {SFB393/99-40},
address = {09107 Chem\-nitz, FRG},
note = {Available from
\url{http://www.tu-chemnitz.de/sfb393/sfb99pr.html}.}
}
@article{morPenM16,
author = {Peng, L. and Mohseni, K.},
title = {Symplectic Model Reduction of {H}amiltonian Systems},
journal = siamscicomp,
volume = 38,
number = 1,
pages = {A1--A27},
year = 2016,
doi = {10.1137/140978922}
}
@article{morPer16,
author = {Perev, K.},
title = {The Unifying Feature of Projection in Model Order Reduction},
journal = {Information Technologies and Control},
year = 2016,
volume = 12,
number = {3--4},
pages = {17--27},
doi = {10.1515/itc-2016-0003}
}
@article{morPerS82,
author = {Pernebo, L. and Silverman, L.~M.},
title = {Model reduction via balanced state space representations.},
journal = ieeetransac,
year = 1982,
volume = 27,
number = 2,
pages = {382--387},
doi = {10.1109/TAC.1982.1102945}
}
@phdthesis{morPet13,
author = {Petersson, D.},
title = {A Nonlinear Optimization Approach to
{$\mathcal{H}_{2}$}-Optimal Modeling and Control},
school = {Link{\"{o}}ping University},
year = 2013,
type = {Dissertation},
url = {http://liu.diva-portal.org/smash/get/diva2:647068/FULLTEXT01.pdf},
isbn = {978-91-7519-567-4},
issn = {0345-7524}
}
@inproceedings{morPetBFetal25,
author = {Peterson, L. and B{\"{u}}ttner, M. and Forootani, A. and Gosea,
I.~V. and Benner, P. and Sundmacher, K.},
title = {Greedy Sampling Neural Network {SINDy} with Control for a
Catalytic CO$_2$ Methanation Reactor},
booktitle = lncs,
year = 2025,
publisher = {Springer},
note = {full paper, presented at the 15th International Conference on
Large-Scale Scientific Computations (LSSC), Sozopol, Bulgaria,
June 16 - 20}
}
@article{morPetFSetal25,
author = {Peterson, L. and Forootani, A. and Sanchez Medina, E.~I. and
Gosea, I.~V. and Sundamcher, K. and Benner, P.},
title = {Towards {D}igital {T}wins for {P}ower-to-{X}: Comparing
Surrogate Models for a Catalytic {CO}$_2$ {M}ethanation
Reactor},
journal = {IEEE Trans. Autom. Sci. Eng.},
year = 2025,
volume = {},
number = {},
pages = {},
doi = {10.1109/TASE.2025.3564637}
}
@incollection{morPetG20,
author = {Petreczky, M. and Gosea, I.~V.},
title = {Model reduction and realization theory of linear switched
systems},
booktitle = {Realization and Model Reduction of Dynamical Systems -
A Festschrift in Honor of the 70th Birthday of Thanos
Antoulas},
editors = {Beattie, C. and Benner, P. and Embree, M. and Gugercin, S. and
Lefteriu, S.},
publisher = {Springer},
year = {2020},
note = {accepted July 2020}
}
@article{morPetGBetal25,
author = {Peterson, L. and Gosea, I.~V. and Benner, P. and Sundmacher,
K.},
title = {Digital Twins in Process Engineering: An Overview on
Computational and Numerical Methods},
journal = {Computers $\&$ Chemical Engineering},
year = 2025,
volume = 193,
pages = 108917,
doi = {10.1016/j.compchemeng.2024.108917}
}
@incollection{morPetGGetal24,
author = {Peterson, L. and Goyal, P. and Gosea, I.~V. and Bremer, J. and
Benner, P. and Sundmacher, K.},
title = {Learning reduced-order models for dynamic {CO}$_2$ methanation
using operator inference},
booktitle = {34th European Symposium on Computer Aided Process Engineering
/ 15th International Symposium on Process Systems Engineering},
publisher = {Elsevier},
year = 2024,
editor = {Flavio Manenti and Gintaras V. Reklaitis},
volume = 53,
series = {Computer Aided Chemical Engineering},
pages = {3319--3324},
issn = {1570-7946},
doi = {10.1016/B978-0-443-28824-1.50554-8}
}
@inproceedings{morPetGGetal25,
author = {Peterson, L. and Goyal, P. and and Gosea, I.~V. and Benner,
P. and Sundmacher, K.},
title = {Reduced-order modeling for a methanation reactor by harnessing
the effectiveness of nonlinear decoders},
booktitle = {7th International Workshop on Model Order Reduction Techniques
(MORTech 2025), Zaragoza, Spain, November 26 - 28},
year = 2025,
note = {extended abstract, accepted for presentation}
}
@article{morPetWL13,
author = {M. Petreczky and R. Wisniewski and J. Leth},
title = {Balanced truncation for linear switched systems},
journal = {Nonlinear Analysis: Hybrid Systems},
year = 2013,
volume = 10,
pages = {4--20},
doi = {10.1016/j.nahs.2013.03.007}
}
@article{morPhi03,
author = {Phillips, J.~R.},
title = {Projection-Based Approaches for Model Reduction of Weakly
Nonlinear, Time-Varying Systems},
journal = ieeetranscadcs,
year = 2003,
volume = 22,
number = 2,
pages = {171--187}
}
@inproceedings{morPhi04,
author = {Phillips, J.~R.},
title = {Variational interconnect analysis via {PMTBR}},
booktitle = {Proc. IEEE/ACM Int. Conf. Comput.-Aided Des.},
year = 2004,
pages = {872--879}
}
@inproceedings{morPhiCL96,
author = {Phillips, J.~R. and Chiprout, E. and Ling, D.~D.},
title = {Efficient full-wave electromagnetic analysis via model-order
reduction of fast integral transforms},
booktitle = {Proc. 33rd ACM IEEE Design Automation Conference},
year = 1996,
pages = {377--382},
month = jun
}
@article{morPhiDS03,
author = {Phillips, J.~R. and Daniel, L. and Silveira, M.},
title = {Guaranteed passive balancing transformations for model order
reduction},
journal = ieeetranscadcs,
year = 2003,
volume = 22,
number = 8,
pages = {1027--1041},
doi = {10.1109/TCAD.2003.814949}
}
@article{morPhiS05,
author = {Phillips, J.~R. and Silveira, L.~M.},
title = {Poor man's {TBR}: A simple model reduction scheme},
journal = ieeetranscadcs,
year = 2005,
volume = 24,
number = 1,
pages = {43--55},
doi = {10.1109/TCAD.2004.839472}
}
@article{morPilR90,
author = {L.~T. Pillage and R.~A. Rohrer},
title = {Asymptotic waveform evaluation for timing analysis},
journal = ieeetranscadcs,
year = 1990,
volume = 9,
number = 4,
pages = {352--366}
}
@article{morPinS07,
author = {Pinnau, R. and Schulze, A.},
title = {Model reduction techniques for frequency averaging in
radiative heat transfer},
journal = jcomputphys,
year = 2007,
volume = 226,
number = 1,
pages = {712--731},
publisher = {Elsevier}
}
@inproceedings{morPolv10,
author = {Polyuga, R.~V. and van der Schaft, A.},
title = {Model Reduction of port-{H}amiltonian Systems as Structured
Systems},
booktitle = {Proceedings of the 19th International Symposium on
Mathematical Theory of Networks and Systems},
pages = {1509--1513},
year = {2010},
url = {https://www.conferences.hu/mtns2010/proceedings/Papers/264_246.pdf}
}
@article{morPonGB19,
author = {Pontes Duff, I. and Goyal, P. and Benner, P.},
title = {Balanced Truncation for a Special Class of Bilinear Descriptor
Systems},
journal = {IEEE Control Systems Letters},
year = 2019,
volume = 3,
number = 3,
pages = {535--540},
doi = {10.1109/LCSYS.2019.2911904}
}
@article{morPonGB20,
author = {Pontes Duff, I. and Grundel, S. and Benner, P.},
title = {New {G}ramians for Linear Switched Systems: Reachability,
Observability, and Model Reduction},
journal = ieeetransac,
year = 2020,
volume = 65,
number = 6,
pages = {2526--2535},
doi = {10.1109/TAC.2019.2934020}
}
@incollection{morPonGB20a,
author = {Benner, P. and Goyal, P. and Pontes Duff, I.},
title = {Data-driven identification of {R}ayleigh-damped second-order
systems},
booktitle = {Realization and Model Reduction of Dynamical Systems --
A Festschrift in Honor of the 70th Birthday of Thanos
Antoulas},
editors = {Beattie, C. and Benner, P. and Embree, M. and Gugercin, S. and
Lefteriu, S.},
publisher = {Springer},
year = {2020},
url = {https://arxiv.org/abs/1910.00838},
note = {accepted April 2020}
}
@techreport{morPonGB24,
author = {Pontes Duff, I. and Goyal, P. and Benner, P.},
title = {Stability-Certified Learning of Control Systems with Quadratic
Nonlinearities},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2403.00646},
note = {Submited to the Proceedings of the26th International Symposium
on Mathematical Theory of Networks and Systems (MTNS), August
19-23, 2024, Cambridge, UK},
doi = {10.48550/arXiv.2403.00646}
}
@article{morPonGBetal16,
author = {Pontes Duff, I. and Gugercin, S. and Beattie, C. and
Poussot-Vassal, C. and Seren, C.},
title = {$\mathcal{H}_{2}$-optimality conditions for reduced time-delay
systems of dimensions one},
journal = {IFAC-PapersOnLine},
year = 2016,
volume = 49,
number = 10,
pages = {7--12},
note = {13th {IFAC} on Time Delay Systems {TDS} 2019},
doi = {10.1016/j.ifacol.2016.07.464}
}
@article{morPonK21,
author = {Pontes Duff, I. and K{\"{u}}rschner},
title = {Numerical computation and new output bounds for time-limited
balanced truncation of discrete-time systems},
journal = linalgapp,
year = 2021,
volume = 623,
pages = {367--397},
month = aug,
doi = {10.1016/j.laa.2020.09.029}
}
@inproceedings{morPonPS15,
author = {Pontes Duff, I. and Poussot-Vassal, C. and Seren, C.},
title = {Realization independent single time-delay dynamical model
interpolation and $\mathcal{H}_2$-optimal approximation},
booktitle = {54th IEEE Conference on Decision and Control (CDC)},
pages = {4662--4667},
year = {2015},
doi = {10.1109/CDC.2015.7402946}
}
@article{morPonPS18,
author = {Pontes Duff, I. and Poussot-Vassal, C. and Seren, C.},
title = {$\mathcal{H}_{2}$-optimal model approximation by
input/output-delay structured reduced-order models},
journal = scl,
volume = 117,
pages = {60--67},
year = 2018,
doi = {10.1016/j.sysconle.2018.05.003}
}
@article{morPouQV18,
author = {Poussot-Vassal, C. and Quero, D. and Viullemin, P.},
title = {Data-driven approximation of a high fidelity gust-oriented
flexible aircraft dynamical model},
journal = {{IFAC-PapersOnLine} 9th Vienna International Conference on
Mathematical Modelling {MATHMOD} 2018, Vienna, Austria, 21--23
February 2018},
year = 2018,
volume = 51,
number = 2,
pages = {559--564},
doi = {10.1016/j.ifacol.2018.03.094}
}
@techreport{morPraGH24,
author = {Pradovera, D. and Gosea, I.~V. and Heiland, J.},
title = {Barycentric rational approximation for learning the index of a
dynamical system from limited data},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2410.02000},
note = {math.NA},
doi = {10.48550/arXiv.2410.02000}
}
@article{morProBK16,
author = {Proctor, J.~L. and Brunton, S.~L. and Kutz, J.~N.},
title = {Dynamic Mode Decomposition with Control},
journal = {SIAM J. Applied Dynamical Systems},
year = 2016,
volume = 15,
number = 1,
pages = {142--161},
doi = {10.1137/15M1013857}
}
@article{morProBK18,
author = {Proctor, J.~L. and Brunton, S.~L. and Kutz, J.~N.},
title = {Generalizing {K}oopman Theory to Allow for Inputs and Control},
journal = siamappdynsys,
year = 2016,
volume = 17,
number = 1,
pages = {909--930},
doi = {10.1137/16M1062296}
}
@article{morPruRVetal01,
author = {Prud'homme, C. and Rovas, D.~V. and Veroy, K. and Machiels, L.
and Maday, Y. and Patera, A.~T. and Turinici, G.},
title = {Reliable Real-Time Solution of Parametrized Partial
Differential Equations: Reduced-Basis Output Bound Methods},
journal = {ASME.~J. Fluids Eng},
year = 2001,
volume = 124,
number = 1,
pages = {70--80},
doi = {10.1115/1.1448332}
}
@techreport{morPrzPB23,
author = {Przybilla, J. and Pontes Duff, I. and Benner, P.},
title = {Semi-active damping optimization of vibrational systems using
the reduced basis method},
institution = {arXiv},
year = 2023,
type = {e-print},
number = {2305.12946},
doi = {10.48550/arXiv.2305.12946},
note = {To appear in Adv. Comput. Math.}
}
@article{morPrzPB24,
author = {Przybilla, J. and Pontes Duff, I. and Benner, P.},
title = {Model reduction for second-order systems with inhomogeneous
initial conditions},
journal = scl,
year = 2024,
volume = 183,
doi = {10.1016/j.sysconle.2023.105671},
publisher = {Elsevier}
}
@techreport{morPrzPGetal24,
author = {Przybilla, J. and Pontes Duff, I. and Goyal, P. and Benner,
P.},
title = {Balanced Truncation of Descriptor Systems with a Quadratic
Output},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2402.14716},
note = {Submited to {SIAM} J. Control Optim.},
doi = {10.48550/arXiv.2402.14716}
}
@techreport{morPrzV21,
author = {Przybilla, J. and Voigt, M.},
title = {Model Reduction of Parametric Differential-Algebraic Systems
by Balanced Truncation},
institution = {arXiv},
year = 2021,
type = {e-print},
number = {2108.08646},
note = {math.DS},
url = {https://arxiv.org/abs/2108.08646}
}
@article{morPulM15,
author = {Pulch, R. and ter Maten, E.~J.~W.},
title = {Stochastic Galerkin Methods and Model Order Reduction for
Linear Dynamical Systems},
journal = {Int. J. for Uncertainty Quantification},
year = 2015,
volume = 5,
number = 3,
pages = {255--273},
doi = {10.1615/Int.J.UncertaintyQuantification.2015010171}
}
@article{morPulMA15,
author = {Pulch, R. and ter Maten, E.~J.~W. and Augustin, F.},
title = {Sensitivity analysis and model order reduction for random
linear dynamical systems},
journal = {Math. Comput. Simulat.},
year = 2015,
volume = 111,
pages = {80--95},
doi = {10.1016/j.matcom.2015.01.003}
}
@article{morPurCHetal17,
author = {Purvine, E. and Cotilla-Sanchez, E. and Halappanavar, M. and
Huang, Z. and Lin, G. and Lu, S. and Wang, S.},
title = {Comparative study of clustering techniques for real-time
dynamic model reduction},
journal = {Statistical Analysis and Data Mining},
year = 2017,
volume = 10,
number = 5,
pages = {263--276},
doi = {10.1002/sam.11352}
}
@article{morQiaKPetal20,
author = {Qian, E. and Kr{\"{a}}mer, B. and Peherstorfer, B. and
Willcox, K.},
title = {Lift \& Learn: Physics-informed machine learning for
large-scale nonlinear dynamical systems},
journal = {Physica D: Nonlinear Phenomena},
year = 2020,
volume = 406,
number = 1,
pages = {art. 132401},
doi = {10.1016/j.physd.2020.132401}
}
@book{morQu04,
author = {Qu, Z.-Q.},
title = {Model Order Reduction Techniques: with Applications in Finite
Element Analysis},
publisher = {Springer-Verlag},
year = 2004,
address = {Berlin},
isbn = 1852338075
}
@book{morQuaMN16,
author = {Quarteroni, A. and Manzoni, A. and Negri, F.},
title = {Reduced Basis Methods for Partial Differential Equations},
publisher = {Springer International Publishing},
year = 2016,
volume = 92,
series = {La Matematica per il 3+2},
note = {ISBN: 978-3-319-15430-5}
}
@book{morQuaR14,
author = {Quarteroni, A. and Rozza, G.},
title = {Reduced Order Methods for Modeling and Computational
Reduction},
series = {MS{\&}A -- Modeling, Simulation and Applications},
volume = {9},
publisher = {Springer International Publishing},
address = {Cham, Switzerland},
year = {2014},
doi = {10.1007/978-3-319-02090-7}
}
@inproceedings{morRahVA14,
author = {Rahrovani, S. and Vakilzadeh, M.~K. and Abrahamsson, T.},
title = {On {G}ramian-Based Techniques for Minimal Realization of
Large-Scale Mechanical Systems},
booktitle = {Topics in Modal Analysis},
year = 2014,
volume = 7,
pages = {797--805},
doi = {10.1007/978-1-4614-6585-0_75}
}
@article{morRamMHetal16,
author = {Ramirez, A. and Mehrizi-Sani, A. and Hussein, D. and Matar,
M. and Abdel-Rahman, M. and Chavez, J.~J. and Davoudi, A. and
Kamalasadan, S.},
title = {Application of balanced realizations for model-order reduction
of dynamic power system equivalents},
journal = {IEEE Transactions on Power Delivery},
volume = {31},
number = {5},
pages = {2304--2312},
year = {2016},
doi = {10.1109/TPWRD.2015.2496498}
}
@inproceedings{morRan88,
author = {A.~C.~M. Ran},
title = {An Overview of {H}ankel Norm Model Reduction},
booktitle = {{SVD} and Signal Processing: Algorithms, Applications and
Architectures},
year = 1988,
editor = {F. Deprettere},
pages = {149--159},
address = {Amsterdam, NL},
publisher = {Elsevier Science Publishers B.~V. (North--Holland)}
}
@incollection{morRavS21,
author = {Rave, S. and Saak, J.},
title = {A Non-stationary Thermal-Block Benchmark Model for Parametric
Model Order Reduction},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M.
and Stykel, T. and Zimmermann, R.},
publisher = {Birkh{\"{a}}user, Cham},
pages = {349--356},
year = {2021},
doi = {10.1007/978-3-030-72983-7_16}
}
@phdthesis{morRed16,
author = {Redmann, M.},
title = {Balancing Related Model Order Reduction Applied to Linear
Controlled Evolution Equations with {L}{\'e}vy Noise},
school = ovgu,
year = 2016,
type = {{D}issertation},
address = {Magdeburg, Germany},
url = {https://d-nb.info/1118572203/34}
}
@inproceedings{morRedB15,
author = {Redmann, M. and Benner, P.},
title = {Approximation and model order reduction for second order
systems with {L}{\'e}vy-noise},
booktitle = {Proceedings of the 10th AIMS International Conference on
Dynamical Systems and Differential Equations},
year = 2015,
pages = {945--953},
publisher = {AIMS},
doi = {10.3934/proc.2015.0945}
}
@article{morRedBG21,
title = {Low-Dimensional Approximations of High-Dimensional Asset Price
Models},
author = {Redmann, M. and Bayer, C. and Goyal, P.},
journal = {{SIAM} J. Finan. Math.},
volume = {12},
number = {1},
pages = {1--28},
year = {2021},
doi = {10.1137/20M1325666}
}
@article{morRedH16,
author = {Redeker, M. and Haasdonk, B.},
title = {A {POD-EIM} reduced two-scale model for precipitation in
porous media},
journal = mcmds,
year = 2016,
volume = 22,
number = 4,
pages = {323--344},
doi = {10.1080/13873954.2016.1198384}
}
@article{morRedK18,
author = {Redmann, M. and K{\"{u}}rschner, P.},
title = {An Output Error Bound for Time-Limited Balanced Truncation},
journal = scl,
year = 2018,
volume = 121,
pages = {1--6},
doi = {10.1016/j.sysconle.2018.08.004}
}
@article{morRedP22,
author = {Redmann, M. and Pontes Duff, I.},
title = {Full state approximation by {G}alerkin projection reduced
order models for stochastic and bilinear systems},
journal = applmathcomp,
year = 2022,
volume = 420,
issn = {0096-3003},
doi = {10.1016/j.amc.2021.126561}
}
@article{morRedP22a,
author = {Redmann, M. and Pontes Duff, I.},
title = {Model order reduction for bilinear systems with non-zero
initial states -- different approaches with error bounds},
journal = intcontrol,
year = 2023,
volume = 96,
number = 6,
pages = {1491--1504},
doi = {10.1080/00207179.2022.2053209}
}
@article{morReiGG25,
author = {Reiter, S. and Gosea, I.~V. and Gugercin, S.},
title = {Generalizations of data-driven balancing: What to sample for
different balancing-based reduced models},
journal = automatica,
year = 2025,
volume = 182,
pages = 112518,
doi = {10.1016/j.automatica.2025.112518}
}
@techreport{morReiGPetal25,
author = {Reiter, S. and Gosea, I.~V. and Pontes Duff, I. and Gugercin,
S.},
title = {$\mathcal{H}_2$-optimal model reduction of linear
quadratic-output systems by multivariate rational
interpolation},
institution = {arXiv},
year = 2025,
type = {e-prints},
number = {2505.03057},
note = {math.NA},
doi = {10.48550/arXiv.2505.03057}
}
@techreport{morReiPGetal24,
author = {Reiter, S. and Pontes Duff, I. and Gosea, I.~V. and Gugercin,
S.},
title = {$\mathcal{H}_2$ optimal model reduction of linear systems with
multiple quadratic outputs},
institution = {arXiv},
year = 2024,
type = {e-print},
number = {2405.05951},
note = {math.NA, eess.SY, math.DS, math.OC},
doi = {10.48550/arXiv.2405.05951}
}
@article{morReiS07,
author = {T. Reis and Stykel, T.},
title = {Stability analysis and model order reduction of coupled
systems},
journal = mcmds,
year = 2007,
volume = 13,
number = 5,
pages = {413--436},
doi = {10.1080/13873950701189071}
}
@article{morReiS08,
author = {Reis, T. and Stykel, T.},
title = {Balanced truncation model reduction of second-order systems},
journal = mcmds,
year = 2008,
volume = 14,
number = 5,
pages = {391--406},
doi = {10.1080/13873950701844170}
}
@incollection{morReiS08a,
author = {Reis, T. and Stykel, T.},
title = {A Survey on Model Reduction of Coupled Systems},
booktitle = {Model Order Reduction: Theory, Research Aspects and
Applications},
publisher = {Springer Berlin Heidelberg},
year = 2008,
editor = {Schilders, W.~H.~A. and van der Vorst, H.~A. and Rommes, J.},
pages = {133--155},
address = {Berlin, Heidelberg},
doi = {10.1007/978-3-540-78841-6_7}
}
@article{morReiS10,
author = {Reis, T. and Stykel, T.},
title = {Positive real and bounded real balancing for model reduction
of descriptor systems},
journal = intcontrol,
year = 2010,
volume = 83,
number = 1,
pages = {74--88},
doi = {10.1080/00207170903100214}
}
@article{morReiS10a,
author = {T. Reis and Stykel, T.},
title = {{PABTEC}: Passivity-preserving balanced truncation for
electrical circuits},
journal = ieeetranscadcs,
year = 2010,
volume = 29,
number = 9,
pages = {1354--1367},
doi = {10.1109/TCAD.2010.2059330}
}
@article{morReiS11,
author = {T. Reis and Stykel, T.},
title = {{L}yapunov balancing for passivity-preserving model reduction
of {RC} circuits},
journal = siamappdynsys,
year = 2011,
volume = 10,
number = 1,
pages = {1--34},
doi = {10.1137/090779802}
}
@article{morReiW11,
author = {Reis, T. and Willems, J.~C.},
title = {A balancing approach to the realization of systems with
internal passivity and reciprocity},
journal = scl,
year = 2011,
volume = 60,
number = 1,
pages = {69--74},
doi = {10.1016/j.sysconle.2010.10.009}
}
@phdthesis{morRew03,
author = {Rewie{\'n}ski, M.~J.},
title = {A Trajectory Piecewise-Linear Approach to Model Order
Reduction of Nonlinear Dynamical Systems},
school = {Massachusetts Institute of Technology},
year = 2003,
type = {{Ph.D. Thesis}}
}
@article{morRewW03,
author = {Rewie{\'n}ski, M.~J. and White, J.},
title = {A Trajectory Piecewise-Linear Approach to Model Order
Reduction and Fast Simulation of Nonlinear Circuits and
Micromachined Devices},
journal = ieeetranscadcs,
year = 2003,
volume = 22,
number = 2,
pages = {155--170}
}
@article{morRewW06,
author = {M.~J. Rewie{\'n}ski and J. White},
title = {Model order reduction for nonlinear dynamical systems based on
trajectory piecewise-linear approximations},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {426--454}
}
@article{morRitWBetal20,
author = {Ritschel, T.~K.~S. and Wei{\ss}, F. and Baumann, M. and
Grundel, S.},
title = {Nonlinear model reduction of dynamical power grid models using
quadratization and balanced truncation},
journal = atautom,
volume = {68},
number = {12},
pages = {1022--1034},
year = 2020,
doi = {10.1515/auto-2020-0070}
}
@article{morRob80,
author = {Roberts, J.~D.},
title = {Linear Model Reduction and Solution of the Algebraic {R}iccati
Equation by Use of the Sign Function},
journal = intcontrol,
year = 1980,
volume = 32,
number = 4,
pages = {677--687},
note = {(Reprint of Technical Report No. TR-13, CUED/B-Control,
Cambridge University, Engineering Department, 1971)},
doi = {10.1080/00207178008922881}
}
@article{morRodGB18,
author = {Rodriguez, A.~C. and Gugercin, S. and Boggaard, J.},
title = {Interpolatory model reduction of parameterized bilinear
dynamical systems},
journal = advcomputmath,
volume = 44,
number = 6,
pages = {1887--1916},
year = 2018,
doi = {10.1007/s10444-018-9611-y}
}
@mastersthesis{morRog15,
author = {Roggendorf, S.},
school = {Universit{\"{a}}t Bonn},
title = {Model Order Reduction for Linearized Systems arising from
the Simulation of Gas Transport Transport Networks},
year = {2015},
url = {https://bonnus.ulb.uni-bonn.de/SummonRecord/FETCH-bonn_catalog_41770072/Description#tabnav}
}
@phdthesis{morRom07,
author = {Rommes, J.},
title = {Methods for eigenvalue problems with applications in model
order reduction},
type = {{Dissertation}},
school = {Utrecht University},
address = {Netherlands},
year = 2007,
url = {https://dspace.library.uu.nl/handle/1874/21787}
}
@article{morRow05,
author = {Rowley, C.~W.},
title = {Model reduction for fluids, using balanced proper orthogonal
decomposition},
journal = {Int. J. Bifurcat. Chaos},
year = 2005,
volume = 15,
number = 3,
pages = {997--1013},
issn = {0218-1274},
doi = {10.1142/S0218127405012429}
}
@article{morRowCM04,
author = {Rowley, C.~W. and Colonius, T. and Murray, R.~M.},
title = {Model reduction for compressible flows using {POD} and
Galerkin projection},
journal = {Physica D: Nonlinear Phenomena},
year = 2004,
volume = 189,
number = {1--2},
pages = {115--129},
doi = {10.1016/j.physd.2003.03.001}
}
@article{morRowD17,
author = {Rowley, C.~W. and Dawson, S.~T.~M.},
title = {Model Reduction for Flow Analysis and Control},
journal = {Annual Review of Fluid Mechanics},
year = 2017,
volume = 49,
pages = {387--417},
doi = {10.1146/annurev-fluid-010816-060042}
}
@article{morRowM00,
author = {Rowley, C.~W. and Marsden, J.~E.},
title = {Reconstruction equations and the Karhunen-Lo{\`{e}}ve expansion for systems with symmetry},
journal = {Physica D: Nonlinear Phenomena},
volume = {142},
number = {1--2},
pages = {1--19},
year = {2000},
doi = {10.1016/S0167-2789(00)00042-7}
}
@article{morRowMBetal09,
author = {Rowley, C.~W. and Mezic, I. and Bagheri, S. and Schlatter,
P. and Henningson, D.~S.},
title = {Spectral analysis of nonlinear flows},
journal = {Journal of Fluid Mechanics},
year = 2009,
volume = 641,
pages = {115--1127},
doi = {10.1017/S0022112009992059}
}
@article{morRozHP08,
author = {Rozza, G. and Huynh, D.~B.~P. and Patera, A.~T.},
title = {Reduced Basis Approximation and a Posteriori Error Estimation
for Affinely Parametrized Elliptic Coercive Partial
Differential Equations},
journal = {Archives of Computational Methods in Engineering},
year = 2008,
volume = 15,
number = 3,
pages = {229--275},
publisher = {Springer Netherlands},
doi = {10.1007/s11831-008-9019-9}
}
@incollection{morRudK05,
author = {Rudnyi, E.~B. and Korvink, J.~G.},
title = {Boundary Condition Independent Thermal Model},
booktitle = {Dimension Reduction of Large-Scale Systems},
publisher = {Springer Berlin Heidelberg},
year = 2005,
editor = {Benner, P. and Sorensen, D.~C. and Mehrmann, V.},
volume = 45,
series = {Lecture Notes in Computational Science and Engineering},
pages = {345--348},
doi = {10.1007/3-540-27909-1_17}
}
@inproceedings{morRudK06,
author = {Rudnyi, E.~B. and Korvink, J.~G.},
title = {Model Order Reduction for Large Scale Engineering Models
Developed in {ANSYS}},
booktitle = {Applied Parallel Computing. State of the Art in Scientific
Computing},
year = 2006,
editor = {Dongarra, J. and Madsen, K. and Wa{\'{s}}niewski, J.},
pages = {349--356},
address = {Berlin, Heidelberg},
publisher = {Springer},
doi = {10.1007/11558958_41}
}
@conference{morRudLGetal04,
author = {Rudnyi, E.~B. and Lienemann, J. and Greiner, A. and Korvink,
J.~G.},
title = {mor4ansys: {G}enerating Compact Models Directly from {ANSYS}
Models},
booktitle = {Tech. Proc. 2004 Nanotechnology Conf. and Trade Show,
Nanotech},
year = 2004,
volume = 2,
pages = {279--282}
}
@article{morRudPB81,
author = {Rudnick, H. and Patino, R.~I. and Brameller, A.},
title = {Power-system dynamic equivalents: coherency recognition via
the rate of change of kinetic energy},
journal = {IEE Proceedings C - Generation, Transmission and
Distribution},
year = {1981},
pages = {325--333},
doi = {10.1049/ip-c.1981.0052}
}
@article{morRueGJetal23,
author = {R{\"{u}}ther, T. and Gosea, I.~V. and Jahn, L. and Antoulas,
A.~C. and Danzer, M.~A.},
title = {Introducing the {L}oewner Method as a Data-Driven and
Regularization-Free Approach for the Distribution of
Relaxation Times Analysis of {L}ithium-{I}on Batteries},
journal = {Batteries},
year = 2023,
volume = 9,
number = 2,
doi = {10.3390/batteries9020132}
}
@article{morSaaSW19,
author = {Saak, J. and Siebelts, D. and Werner, S.~W.~R.},
title = {A comparison of second-order model order reduction methods for
an artificial fishtail},
journal = atautom,
year = 2019,
volume = 67,
number = 8,
pages = {648--667},
doi = {10.1515/auto-2019-0027}
}
@inproceedings{morSaaUV13,
author = {Saak, J. and Uddin, M.~M. and Voigt, M.},
title = {Modellreduktion f{\"{u}}r strukturierte {I}ndex-3-{S}ysteme},
booktitle = {Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik"},
year = 2013,
editor = {Sawodny, O. and Adamy, J.},
pages = {180--190},
organization = {Institut f{\"{u}}r Automatisierungstechnik und Mechatronik},
publisher = {Technische Universit{\"{a}}t Darmstadt}
}
@article{morSaaV18,
author = {Saak, J. and Voigt, M.},
title = {Model reduction of constrained mechanical systems in
{M-M.E.S.S.}},
journal = {{IFAC-PapersOnLine} 9th Vienna International Conference on
Mathematical Modelling {MATHMOD} 2018, Vienna, Austria, 21--23
February 2018},
year = 2018,
volume = 51,
number = 2,
pages = {661--666},
doi = {10.1016/j.ifacol.2018.03.112}
}
@article{morSafC88,
author = {M.~G. Safonov and R.~Y. Chiang},
title = {Model reduction for Robust Control: A {S}chur Relative Error
Method},
journal = {Int. J. Adapt. Cont. and Sign. Proc.},
year = 1988,
volume = 2,
pages = {259--272}
}
@inproceedings{morSafC88a,
author = {M.~G. Safonov and R.~Y. Chiang},
title = {A {S}chur Method for Balanced Model Reduction},
booktitle = {Proceedings of the American Control Conference},
year = 1988,
pages = {1036--1040},
doi = {10.23919/ACC.1988.4789873}
}
@article{morSafC89,
author = {Safonov, M.~G. and Chiang, R.~Y.},
title = {A {S}chur method for balanced-truncation model reduction},
journal = ieeetransac,
year = 1989,
volume = 34,
number = 7,
pages = {729--733},
doi = {10.1109/9.29399}
}
@article{morSafCL90,
author = {M.~G. Safonov and R.~Y. Chiang and D.~J.~N. Limebeer},
title = {Optimal {H}ankel Model Reduction for Nonminimal Systems},
journal = ieeetransac,
year = 1990,
volume = 35,
number = 4,
pages = {496--502},
doi = {10.1109/9.52314}
}
@phdthesis{morSal05,
author = {Salimbahrami, B.},
title = {Structure Preserving Order Reduction of Large Scale Second
Order Models},
school = tum,
year = 2005,
type = {{D}issertation},
address = {Munich, Germany},
url = {https://mediatum.ub.tum.de/doc/601950/00000941.pdf}
}
@inproceedings{morSalL03,
author = {Salimbahrami, B. and Lohmann, B.},
title = {A Simulation Free Nonlinear Model Order Reduction Approach and
Comparison Study},
booktitle = {Proceedings of the 4th MATHMOD},
year = 2003,
pages = {429--435}
}
@article{morSalL06,
author = {Salimbahrami, B. and Lohmann, B.},
title = {Order reduction of large scale second-order systems using
{K}rylov subspace methods},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {385--405},
doi = {10.1016/j.laa.2004.12.013}
}
@article{morSamPG95,
author = {Samar, R. and Postlewaite, I. and Gu, D.~W.},
title = {Model reduction with balanced realizations},
journal = intcontrol,
year = 1995,
volume = 62,
number = 1,
pages = {33--64},
doi = {10.1080/00207179508921533}
}
@inproceedings{morSanCG95,
author = {Sanchez-Gasca, J.~J. and Chow, J.~H. and Galarza, R.},
title = {Reduction of linearized power systems for the study of
interarea oscillations},
booktitle = {International Conference on Control Applications (CCA)},
year = {1995},
pages = {5119382},
doi = {10.1109/CCA.1995.555806}
}
@article{morSanM08,
author = {Sandberg, H. and Murray, R.~M.},
title = {Model Reduction of Interconnected Linear Systems Using
Structured {G}ramians},
journal = {IFAC Proceedings Volumes (17th IFAC World Congress)},
year = 2009,
volume = 41,
number = 2,
pages = {8725--8730},
doi = {10.3182/20080706-5-KR-1001.01475}
}
@article{morSanM09,
author = {Sandberg, H. and Murray, R.~M.},
title = {Model reduction of interconnected linear systems},
journal = {Optim. Control Appl. Methods},
year = 2009,
volume = 30,
number = 3,
pages = {225--245},
doi = {10.1002/oca.854}
}
@techreport{morSarB21,
author = {Sarna, N. and Benner, P.},
title = {Data-Driven Model Order Reduction for Problems with
Parameter-Dependent Jump-Discontinuities},
institution = {arXiv},
year = {2021},
type = {e-prints},
number = {2105.00547},
note = {cs.NA},
url = {https://arxiv.org/abs/2105.00547}
}
@techreport{morSarG20,
author = {Sarna, N. and Grundel, S.},
title = {Model Reduction of Time-Dependent Hyperbolic Equations using
Collocated Residual Minimisation and Shifted Snapshots},
institution = {arXiv},
year = 2020,
type = {e-prints},
number = {2003.06362},
note = {cs.NA},
url = {https://arxiv.org/abs/2003.06362}
}
@article{morSarGB24,
author = {Sarna, N. and Giesselmann, J. and Benner, P.},
title = {Data-Driven Snapshot Calibration via Monotonic Feature
Matching},
journal = {Finite Elements in Analysis and Design},
year = 2024,
volume = 230,
pages = 104065,
doi = {10.1016/j.finel.2023.104065}
}
@article{morSat17,
author = {Sato, K.},
title = {Riemannian Optimal Model Reduction of Linear Second-Order
Systems},
journal = {{IEEE} Contr. Syst. Lett.},
year = 2017,
volume = 1,
number = 1,
pages = {2--7},
month = jul,
doi = {10.1109/LCSYS.2017.2698178}
}
@techreport{morSawKP21,
author = {Sawant, N. and Kramer, B. and Peherstorfer, B.},
title = {Physics-informed regularization and structure preservation for
learning stable reduced models from data with operator
inference},
institution = {arXiv},
type = {e-print},
number = {2107.02597},
note = {math.NA},
year = {2021},
url = {https://arxiv.org/abs/2107.02597}
}
@inproceedings{morSca15,
author = {Scarciotti, G.},
title = {Model reduction of power systems with preservation of slow and
poorly damped modes},
booktitle = {2015 IEEE Power \& Energy Society General Meeting},
pages = {15502166},
year = {2015},
doi = {10.1109/PESGM.2015.7285719}
}
@article{morScaA17,
author = {Scarciotti, G. and Astolfi, A.},
title = {Nonlinear Model Reduction by Moment Matching},
journal = {Foundations and Trends\textsuperscript{\textregistered} in
Systems and Control},
volume = {4},
number = {3--4},
pages = {224--409},
year = {2017},
doi = {10.1561/2600000012}
}
@phdthesis{morSch07,
author = {Schmidt, M.},
title = {Systematic discretization of input/output maps and other
contributions to the control of distributed parameter systems},
school = {Technische Universit{\"{a}}t Berlin},
year = 2007,
type = {{Ph.D. Thesis}},
address = {Berlin},
doi = {10.14279/depositonce-1600}
}
@article{morSch10,
author = {Schmid, P.~J.},
title = {Dynamic mode decomposition of numerical and experimental data},
journal = {J. Fluid Mech.},
year = 2010,
volume = 656,
pages = {5--28},
doi = {10.1017/S0022112010001217}
}
@article{morSch93,
author = {Scherpen, J.~M.~A.},
title = {Balancing for nonlinear systems},
journal = scl,
year = 1993,
volume = 21,
number = 2,
pages = {143--153},
doi = {10.1016/0167-6911(93)90117-O}
}
@phdthesis{morSch96,
author = {G. Schelfhout},
title = {Model Reduction for Control Design},
school = {Dept. Electrical Engineering, KU Leuven},
year = 1996,
type = {{Ph.D. Thesis}},
address = {3001 Leuven--Heverlee, Belgium}
}
@inproceedings{morSchD95,
author = {Schelfhout, G. and De~Moor, B.},
title = {Time-Domain Weighted Balanced Truncation},
booktitle = {3rd European Control Conference},
year = 1995,
pages = {1--4},
url = {ftp://ftp.esat.kuleuven.ac.be/SISTA/schelfhout/reports/tbalred.ps.Z}
}
@inproceedings{morSchDH15,
author = {Schmidt, A. and Dihlmann, M. and Haasdonk, B.},
title = {Basis generation approaches for a reduced basis linear
quadratic regulator},
booktitle = {8th Vienna International Conferenceon Mathematical Modelling},
year = 2015,
volume = {48(1)},
pages = {713--718},
doi = {10.1016/j.ifacol.2015.05.016}
}
@article{morSchFD08,
author = {Schultschik, A. and Farle, O. and Dyczij-Edlinger, R.},
title = {A Model Order Reduction Method for the Finite-Element
Simulation of Inhomogeneous Waveguides},
journal = ieeetransmag,
year = 2008,
volume = 44,
number = 6,
pages = {1394--1397}
}
@techreport{morSchH15,
author = {Schmidt, A. and Haasdonk, B.},
title = {Reduced Basis Approximation of Large Scale Algebraic {R}iccati
Equations},
institution = {University of Stuttgart},
year = 2015,
url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=999}
}
@incollection{morSchHL17,
author = {Schmidt, O. and Hauser, M. and Lang, P.},
title = {Coupling of Numeric/Symbolic Reduction Methods for Generating
Parametrized Models of Nanoelectronic Systems},
booktitle = {System Reduction for Nanoscale {IC} Design},
publisher = {Springer},
year = 2017,
editor = {Benner, P.},
volume = 20,
series = {Mathematics in Industry},
pages = {136--156},
address = {Cham},
doi = {10.1007/978-3-319-07236-4_4}
}
@inproceedings{morSchIS16,
author = {Schulze, P. and Ionescu, T.~C. and Scherpen, J.~M.~A.},
title = {Families of moment matching-based reduced order models for
linear descriptor systems},
booktitle = {European Control Conference (ECC)},
year = 2016,
pages = {1964--1969},
doi = {10.1109/ECC.2016.7810579}
}
@incollection{morSchRM18,
author = {Schulze, P. and Reiss, J. and Mehrmann, V.},
title = {Model Reduction for a Pulsed Detonation Combuster via Shifted
Proper Orthogonal Decomposition},
booktitle = {Active Flow and Combustion Control 2018},
editor = {King, R.},
series = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design},
volume = {141},
publisher = {Springer, Cham},
pages = {271--286},
year = {2019},
doi = {10.1007/978-3-319-98177-2\_17}
}
@article{morSchV11,
author = {Scherpen, J.~M.~A. and Van~Der~Schaft, A.~J.},
title = {Balanced model reduction of gradient systems},
journal = {Inf. Software Technol.},
year = 2011,
volume = 44,
number = 1,
pages = {12745--12750},
doi = {10.3182/20110828-6-IT-1002.03550}
}
@book{morSchVR08,
author = {W.~H.~A. Schilders and H.~A. {van der Vorst} and J. Rommes},
title = {Model Order Reduction: Theory, Research Aspects and
Applications},
publisher = {Springer-Verlag},
year = 2008,
address = {Berlin, Heidelberg}
}
@inproceedings{morSchW04,
author = {Schuhmann, R. and Weiland, T.},
title = {Recent Advances in Finite Integration Technique for High
Frequency Applications},
booktitle = {Scientific Computing in Electrical Engineering},
year = 2004,
editor = {W.~H.~A. Schilders and E.~J.~W. {ter Maten} and
S.~H.~M.~J. Houben},
pages = {46--57},
publisher = springer
}
@article{morSchWH20,
author = {Schmidt, A. and Wittwar, D. Haasdonk, B.},
title = {Rigorous and effective a-posteriori error bounds for nonlinear
problems---application to {RB} methods},
journal = advcomputmath,
year = 2020,
volume = 46,
number = 2,
pages = {Paper No. 32, 30},
issn = {1019-7168},
doi = {10.1007/s10444-020-09741-x}
}
@article{morSerLGetal12,
author = {Serre, G. and Lafon, P. and Gloerfelt, X. and Bailly, C.},
title = {Reliable reduced-order models for time-dependent linearized
{E}uler equations},
journal = {Journal of Computational Physics},
volume = {231},
number = {15},
pages = {5176--5194},
year = {2012},
doi = {10.1016/j.jcp.2012.04.019}
}
@inproceedings{morSha12,
author = {Shaker, H.~R.},
title = {Generalized Cross-{G}ramian for Linear Systems},
booktitle = {Proc. IEEE Conf. Ind. Electron. Appl.},
year = 2012,
pages = {749--751},
doi = {10.1109/ICIEA.2012.6360824}
}
@article{morSha75,
author = {Shamash, Y.},
title = {Linear system reduction using {P}ade approximation to allow
retention of dominant modes},
journal = intcontrol,
volume = {21},
number = {2},
pages = {257--272},
year = {1975},
doi = {10.1080/00207177508921985}
}
@article{morShiHS06,
author = {Shi, G. and Hu, B. and Shi, C.},
title = {On Symbolic Model Order Reduction},
journal = ieeetranscadcs,
year = 2006,
volume = 25,
number = 7,
pages = {1257--1272},
publisher = {IEEE INSTITUTE OF ELECTRICAL AND ELECTRONICS}
}
@article{morShiS05,
author = {Shi, G. and Shi, C.-R.~J.},
title = {Model-order reduction by dominant subspace projection: error
bound, subspace computation, and circuit applications},
journal = {IEEE Transactions on Circuits and Systems I: Regular Papers},
year = 2005,
volume = 52,
number = 5,
pages = {975--993},
doi = {10.1109/TCSI.2005.846217}
}
@inproceedings{morShoA17,
author = {Shomalzadeh, K. and Amraee, T.},
title = {Unstable power system model reduction using balanced
truncation},
booktitle = {2017 25th Iranian Conference on Electrical Engineering (ICEE)},
year = {2017},
pages = {17045511},
doi = {10.1109/IranianCEE.2017.7985241}
}
@article{morShoSV83,
author = {Shokoohi, S. and Silverman, L.~M. and Van~Dooren, P.},
title = {Linear Time-Variable Systems: Balancing and Model Reduction},
journal = ieeetransac,
year = 1983,
volume = 28,
number = 8,
pages = {810--822},
doi = {10.1109/TAC.1983.1103331}
}
@article{morSigSGetal16,
author = {Signorini, G. and Siviero, C. and Grivet-Talocia, S. and
Stievano, I.~S.},
title = {Macromodeling of {I/O} Buffers via Compressed Tensor
Representations and Rational Approximations},
journal = ieeetranscpmt,
year = 2016,
volume = 6,
number = 10,
pages = {1522--1534},
doi = {10.1109/TCPMT.2016.2602212}
}
@inproceedings{morSimB07,
author = {V. Sima and P. Benner},
title = {Fast System Identification and Model Reduction Solvers},
booktitle = {Preprints 9th {IFAC Workshop ``Adaptation and Learning in
Control and Signal Processing'' (ALCOSP 2007)}, August, 29-31,
2007, Saint Petersburg, Russia},
year = 2007,
editor = {B.~R. Andrievsky and A.~L. Fradkov},
annote = {Session {\bfseries ALCOSP-FrM2}: {\em Applications and CAD\/}
(Friday, August 31, 11:20-13:20, Paper 5)}
}
@inproceedings{morSinH05,
author = {Singh, A.~K. and Hahn, J.},
title = {On the Use of Empirical {G}ramians for Controllability and
Observability Analysis},
booktitle = {Proc. Am. Control conf.},
year = 2005,
volume = 2005,
pages = {140--141},
doi = {10.1109/ACC.2005.1469922}
}
@article{morSinH05a,
author = {Singh, A.~K. and Hahn, J.},
title = {State estimation for high-dimensional chemical processes},
journal = {Comput. Chem. Eng.},
year = 2005,
volume = 29,
number = {11--12},
pages = {2326--2334},
doi = {10.1016/j.compchemeng.2005.05.009}
}
@article{morSir87,
author = {Sirovich, L.},
title = {Turbulence and the dynamics of coherent structures. Parts
{I}-{III}},
journal = {Quart. Appl. Math.},
year = 1987,
volume = 45,
number = 3,
pages = {561--590},
fjournal = {Quarterly of Applied Mathematics},
url = {http://www.jstor.org/stable/43637457}
}
@article{morSir87a,
author = {Sirovich, L.},
title = {Turbulence and the dynamics of coherent
structures. {I}. Coherent structures},
journal = {Quart. Appl. Math.},
year = 1987,
volume = 45,
number = 3,
pages = {561--571},
fjournal = {Quarterly of Applied Mathematics}
}
@inproceedings{morSivGSetal15,
author = {Siviero, C. and Grivet-Talocia, S. and Stievano, I.~S. and
Signorini, G.},
title = {Behavioral Macromodeling of High-Speed Drivers via Compressed
Tensor Representations},
booktitle = {2015 IEEE MTT-S International Conference on Numerical
Electromagnetic and Multiphysics Modeling and Optimization
(NEMO)},
year = 2015,
pages = {1--3},
note = {{\bfseries Invited paper}},
doi = {10.1109/NEMO.2015.7415004}
}
@article{morSloLL03,
author = {Slone, R.~D. and Lee, R. and Lee, J.~F.},
title = {Broadband model order reduction of polynomial matrix equations
using single point well-conditioned asymptotic waveform
evaluation: derivation and theory},
journal = intnumereng,
year = 2003,
volume = 58,
pages = {2325--2342}
}
@techreport{morSmeZP18,
author = {Smetana, K. and Zahm, O. and Patera, A.~T.},
title = {Randomized residual-based error estimators for parametrized
equations},
institution = {Cornell University},
year = 2018,
type = {arXiv e-prints},
number = {1807.10489},
note = {math.NA},
url = {https://arxiv.org/abs/1807.10489}
}
@article{morSnoVT17,
author = {Snowden, T.~J. and van der Graaf, P.~H. and Tindall, M.~J.},
title = {A combined model reduction algorithm for controlled
biochemical systems},
journal = {BMC Systems Biology},
year = 2017,
volume = 11,
number = 1,
pages = {1--18},
doi = {10.1186/s12918-017-0397-1}
}
@article{morSomHB08,
author = {Sommer, R. and Halfmann, T. and Broz, J.},
title = {Automated behavioral modeling and analytical model-order
reduction by application of symbolic circuit analysis for
multi-physical systems},
journal = {Simulation Modelling Practice and Theory},
year = 2008,
volume = 16,
number = 8,
pages = {1024--1039},
publisher = {Elsevier}
}
@phdthesis{morSon12,
author = {Son, N.~T.},
title = {Interpolation Based Parametric Model Order Reduction},
school = {Zentrum f{\"{u}}r Technomathematik, Universit{\"{a}}t Bremen},
year = 2012,
type = {{Ph.D. Thesis}}
}
@incollection{morSonGMetal21,
author = {Son, N.~T. and Gousenbourger, P.-Y. and Massart,
E. and Stykel, T.},
title = {Balanced truncation for parametric linear systems using
interpolation of {G}ramians: a comparison of algebraic and
geometric approaches},
booktitle = {Model reduction of complex dynamical systems},
publisher = {Birkh{\"{a}}user/Springer, Cham},
year = 2021,
volume = 171,
series = {Internat. Ser. Numer. Math.},
pages = {31--51},
doi = {10.1007/978-3-030-72983-7\_2}
}
@article{morSonH04,
author = {Song, X.~J. and Huang, X.~X.},
title = {{L}$_2$ Optimal Model Reduction for State Space Symmetrc},
journal = {Natural Science Journal of Xiangtan University},
year = 2004,
volume = 26,
number = 1,
pages = {148--154},
url = {http://caod.oriprobe.com/articles/6934254/L2Optimal_Model_Reduction_for_State_Space_Symmetrc.htm}
}
@article{morSonS17,
author = {Son, N.~T. and Stykel, T.},
title = {Solving Parameter-Dependent {L}yapunov Equations Using the
Reduced Basis Method with Application to Parametric Model
Order Reduction},
journal = siammatrix,
year = 2017,
volume = 38,
number = 2,
pages = {478--504},
doi = {10.1137/15M1027097}
}
@article{morSor05,
author = {Sorensen, D.~C.},
title = {Passivity preserving model reduction via interpolation of
spectral zeros},
journal = scl,
year = 2005,
volume = 54,
number = 4,
pages = {347--360},
publisher = {Elsevier}
}
@techreport{morSorA01,
author = {Sorensen, D.~C. and Antoulas, A.~C.},
title = {Projection methods for balanced model reduction},
institution = {Rice University},
year = 2001,
url = {http://www.caam.rice.edu/caam/trs/2001/TR01-03.pdf}
}
@article{morSorA02,
author = {Sorensen, D.~C. and Antoulas, A.~C.},
title = {The {S}ylvester equation and approximate balanced reduction},
journal = numalgappl,
year = 2002,
volume = {351--352},
pages = {671--700},
doi = {10.1016/S0024-3795(02)00283-5}
}
@article{morSorPGetal23,
author = {Sorrentino, A. and Patel, B. and Gosea, I.~V. and Antoulas,
A.~C. and Vidakovi{\'{c}}-Koch, T.},
title = {Determination of the distribution of relaxation times through
{L}oewner framework: A direct and versatile approach},
journal = {Journal of Power Sources},
year = 2023,
volume = 585,
pages = 233575,
publisher = {Elsevier},
doi = {10.1016/j.jpowsour.2023.233575}
}
@inproceedings{morSouMD05,
author = {K.~C. Sou and A. Megretski and L. Daniel},
title = {A Quasi-Convex Optimization Approach to Parameterized Model
Order Reduction},
booktitle = {Proc. 42nd ACM IEEE Design Automation Conference},
year = 2005,
month = jun
}
@article{morSouMD08,
author = {K.~C. Sou and A. Megretski and L. Daniel},
title = {A quasi-convex optimization approach to parameterized model
order reduction},
journal = ieeetranscadcs,
year = 2008,
volume = 27,
number = 3,
pages = {456--469},
month = mar
}
@phdthesis{morSpe18,
author = {Spescha, D.},
title = {Framework for Efficient and Accurate Simulation of the
Dynamics of Machine Tools},
school = {Clausthal University of Technology},
year = 2018,
type = {{D}issertation},
address = {Germany},
doi = {10.21268/20181119-132644}
}
@inproceedings{morSre02,
author = {Sreeram, V.},
title = {Frequency response error bounds for time-weighted balanced
truncation},
booktitle = {Proceedings of the 41st IEEE Conference on Decision and
Control},
pages = {3330--3331},
year = {2002},
doi = {10.1109/CDC.2002.1184388}
}
@article{morSreA94,
author = {Sreeram, V. and Agathoklis, P.},
title = {On the Properties of the Gram Matrix},
journal = {IEEE Trans. Circuits Syst. I Fundam. Theor. Appl.},
year = 1994,
volume = 41,
number = 3,
pages = {234--237},
doi = {10.1109/81.273922}
}
@phdthesis{morSri07,
author = {Srisupattarawanit, T.},
title = {Computational Multi-Physics for Simulation of Offshore Wind
Turbines},
school = {Technische Universit{\"{a}}t Braunschweig},
year = 2007,
type = {{Ph.D. Thesis}},
address = {Braunschweig},
annote = {accepted 2006}
}
@article{morSte87,
author = {R. Stelter},
title = {Two Stage Singular Perturbation Model Reduction for Gas
Transmission Networks},
journal = {IFAC Proceedings Volumes (10th Triennial IFAC Congress on
Automatic Control)},
year = 1987,
volume = 20,
number = 5,
pages = {157--162},
doi = {10.1016/S1474-6670(17)55079-X}
}
@article{morSte97,
author = {Steindl, A.},
title = {Dimension Reduction Methods for a Fluid Conveying Tube},
journal = zangewmathmech,
year = 1997,
volume = 77,
pages = {321--322},
publisher = wileyvch
}
@misc{morSteGRetal25,
author = {Steiger, M. and Gosea, I.~V. and R{\"{u}}diger, D. and Benner,
P. and Brachtendorf, H.-G. and Reichl, U.},
title = {Reconstructing Governing Equations of Influenza Virus Dynamics
from incomplete Measurements},
year = 2025,
note = {14th IFAC Symposium on Dynamics and Control of Process Systems, including Biosystems (DYCOPS 2025)}
}
@incollection{morSteS17,
author = {Steinbrecher, A. and Stykel, T.},
title = {Element-Based Model Reduction in Circuit Simulation},
booktitle = {System Reduction for Nanoscale {IC} Design},
publisher = {Springer},
year = 2017,
editor = {Benner, P.},
volume = 20,
series = {Mathematics in Industry},
pages = {39--85},
address = {Cham},
doi = {10.1007/978-3-319-07236-4_2}
}
@article{morStrBG09,
author = {Striebel, M. and Bartel, A. and G{\"{u}}nther, M.},
title = {A multirate {ROW}-scheme for index-1 network equations},
journal = {Applied Numerical Mathematics},
year = 2009,
volume = 59,
number = 3,
pages = {800--814},
doi = {10.1016/j.apnum.2008.03.014},
publisher = {Elsevier}
}
@phdthesis{morStu12,
author = {Sturk, C.},
title = {Structured model reduction and its application to power
systems},
school = {KTH Royal Institute of Technology},
year = {2012},
url = {http://urn.kb.se/resolve?urn=urn\%3Anbn\%3Ase\%3Akth\%3Adiva-104789}
}
@inproceedings{morStuVCetal12,
author = {Sturk, C. and Vanfretti, L. and Chompoobutrgool, Y. and
Sandberg, H.},
title = {Structured power system model reduction of non-coherent
areas},
booktitle = {2012 IEEE Power and Energy Society General Meeting (PESGM)},
year = {2012},
pages = {13170255},
doi = {10.1109/PESGM.2012.6344913}
}
@article{morStuVCetal14,
author = {Sturk, C. and Vanfretti, L. and Chompoobutrgool, Y. and
Sandberg, H.},
title = {Coherency-independent structured model reduction of power
systems},
journal = {IEEE Transactions on Power Systems},
year = {2014},
volume = {29},
number = {5},
pages = {2418--2426},
doi = {10.1109/TPWRS.2014.2302871}
}
@inproceedings{morStuVMetal12,
author = {Sturk, C. and Vanfretti, L. and Milano, F. and Sandberg, H.},
title = {Structured model reduction of power systems},
booktitle = {2012 American Control Conference (ACC)},
year = {2012},
pages = {2276--2282},
doi = {10.1109/ACC.2012.6315207}
}
@article{morSty04,
author = {Stykel, T.},
title = {Gramian-based model reduction for descriptor systems},
journal = {Math. Control Signals Systems},
year = 2004,
volume = 16,
number = 4,
pages = {297--319},
fjournal = {Mathematics of Control, Signals, and Systems},
issn = {0932-4194},
doi = {10.1007/s00498-004-0141-4}
}
@article{morSty06,
author = {Stykel, T.},
title = {Balanced truncation model reduction for semidiscretized
{S}tokes equation},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {262--289},
doi = {10.1016/j.laa.2004.01.015}
}
@article{morSuC91,
author = {Su, T.-J. and Craig~Jr., R.~R.},
title = {Model reduction and control of flexible structures using
{K}rylov vectors},
journal = {Journal of Guidance, Control, and Dynamics},
year = 1991,
volume = 14,
number = 2,
pages = {260--267},
doi = {10.2514/3.20636}
}
@book{morSun08,
author = {Sun, Kai},
title = {Model order reduction and domain decomposition for large-scale
dynamical systems},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = 2008,
note = {Thesis (Ph.D.)--Rice University},
pages = 169,
isbn = {978-1109-21236-5},
url = {https://search.proquest.com/docview/304507831?accountid=104761}
}
@article{morSunFB26,
author = {Sun, Shuwen and Feng, Lihong and Benner, Peter},
title = {Data-augmented predictive deep neural network: {E}nhancing the
extrapolation capabilities of non-intrusive surrogate models},
journal = cmame,
year = 2026,
volume = 450,
pages = {Paper No. 118604},
issn = {0045-7825,1879-2138},
doi = {10.1016/j.cma.2025.118604}
}
@techreport{morSunFCetal23,
author = {Sun, S. and Feng, L. and Chan, H. and Mili{\v{c}}i{\'c},
T. and Vidakovi{\'c}-Koch, T. and Benner, P.},
title = {Parametric Dynamic Mode Decomposition for nonlinear parametric
dynamical systems},
institution = {arXiv},
year = 2023,
type = {e-print},
number = {2305.06197},
note = {math.NA},
doi = {10.48550/arXiv.2305.06197}
}
@article{morSunH05,
author = {Sun, C. and Hahn, J.},
title = {Reduction of stable differential-algebraic equation systems
via projections and system identification},
journal = {J. Process Control},
year = 2005,
volume = 15,
number = 6,
pages = {639--650},
doi = {10.1016/j.jprocont.2005.01.003}
}
@article{morSunH06,
author = {Sun, C. and Hahn, J.},
title = {Parameter reduction for stable dynamical systems based on
{H}ankel singular values and sensitivity analysis},
journal = {Chem. Eng. Sci.},
year = 2006,
volume = 61,
number = 16,
pages = {5393--5403},
doi = {10.1016/j.ces.2006.04.027}
}
@article{morSunH06a,
author = {Sun, C. and Hahn, J.},
title = {Model reduction in the presence of uncertainty in model
parameters},
journal = {J. Process Control},
year = 2006,
volume = 16,
number = 6,
pages = {645--649},
doi = {10.1016/j.jprocont.2005.10.001}
}
@techreport{morSunH06b,
author = {Sun, C. and Hahn, J.},
title = {Nonlinear Model Reduction Routines for {MATLAB}},
institution = {Rensselaer Polytechnic Institute},
year = 2006,
url = {http://www.hahnresearchgroup.com/downloads/nonlinear-model-reduction-routines-matlab}
}
@article{morSunP99,
author = {Sung, Y.~G. and Park, Y.~P.},
title = {{Model Reduction of Semi-Positive Definite Systems Reflected
to Actuator and Sensor Locations}},
journal = {KSME International Journal},
year = 1999,
volume = 13,
number = 10,
pages = {714--726}
}
@article{morTanD04,
author = {Tang, D. and Dowell, E.~H.},
title = {Reduced Order Model Analysis for Two-Dimensional Molecular
Dynamic Chain Structure Attached to an Atomic Force
Microscope},
journal = {Journal of Dynamic Systems, Measurement, and Control},
year = 2004,
volume = 126,
number = 3,
pages = {531--546},
publisher = {ASME}
}
@book{morTanH07,
author = {S.~X.-D. Tan and L. He},
title = {Advanced Model Order Reduction Techniques in {VLSI} Design},
publisher = {Cambridge University Press},
year = 2007,
address = {New York, NY, USA}
}
@article{morTanLAetal04,
author = {Tang, D. and Li, A. and Attar, P. and Dowell, E.~H.},
title = {Reduced order dynamic model for polysaccharides molecule
attached to an atomic force microscope},
journal = jcomputphys,
year = 2004,
volume = 201,
number = 2,
pages = {723--752},
publisher = {Elsevier}
}
@inproceedings{morTaoZYetal06,
author = {Tao, J. and Zeng, X. and Yang, F. and Su, Y. and Feng, L. and
Cai, W. and Zhou, D. and Chiang, C.},
title = {A {O}ne-shot {P}rojection {M}ethod for {I}nterconnects with
{P}rocess {V}ariations},
booktitle = {Proc. IEEE International Symposium on Circuits and Systems},
year = 2006,
month = may
}
@phdthesis{morTen04,
author = {Teng, Cong},
title = {Model Order Reduction of Second-Order Linear Dynamical
Systems},
school = rice,
year = 2004,
address = {Houston, Texas},
month = jun
}
@article{morTen12,
author = {Teng, C.},
title = {Second-Order Model Reduction Based on Gramians},
journal = {J. Control Sci. Eng.},
year = 2012,
volume = 2012,
pages = {1--9},
doi = {10.1155/2012/302498}
}
@inproceedings{morThaGK16,
author = {Thakallapelli, A. and Ghosh, S. and Kamalasadan, S.},
title = {Real-time frequency based reduced order modeling of large
power grid},
booktitle = {2016 IEEE Power and Energy Society General Meeting (PESGM)},
pages = {16464882},
year = {2016},
doi = {10.1109/PESGM.2016.7741877}
}
@article{morTinGK08,
author = {Tin, L.~D. and Greiner, A. and Korvink, J.~G.},
title = {Model Order Reduction for Circuit Level Simulation of {RF
MEMS} Frequency Selective Devices},
journal = {Sensor Letters},
year = 2008,
volume = 6,
number = 1,
pages = {1--8},
publisher = {American Scientific Publishers}
}
@article{morTolA17,
author = {Tolks, C. and Ament, C.},
title = {Model Order Reduction of Glucose-Insulin Homeostasis Using
Empirical {G}ramians and Balanced Truncation},
journal = {IFAC-PapersOnline (Proceedings of the 20th IFAC World
Congress)},
year = 2017,
volume = 50,
number = 1,
pages = {14735--14740},
doi = {10.1016/j.ifacol.2017.08.2576}
}
@phdthesis{morTom11,
author = {Tomljanovi{\'c}, Z.},
title = {Optimal damping for vibrating systems using dimension
reduction},
school = jjsuo,
year = 2011,
url = {https://hrcak.srce.hr/68645}
}
@article{morTomBG18,
author = {Tomljanovi{\'c}, Z. and Beattie, C. and Gugercin, S.},
title = {Damping optimization of parameter dependent mechanical systems
by rational interpolation},
journal = advcomputmath,
year = 2018,
volume = 44,
number = 6,
pages = {1797--1820},
doi = {10.1007/s10444-018-9605-9}
}
@article{morTomP87,
author = {Tombs, M.~S. and Postlethwaite, I.},
title = {Truncated balanced realization of a stable non-minimal
state-space system},
journal = intcontrol,
year = 1987,
volume = 46,
number = 4,
pages = {1319--1330},
doi = {10.1080/00207178708933971}
}
@article{morTomV20,
author = {Tomljanovi{\'c}, Z. and Voigt, M.},
title = {Semi-active $\mathcal{H}_\infty$ damping optimization by
adaptive interpolation},
journal = numalgappl,
volume = {27},
number = {4},
pages = {e2300},
year = 2020,
doi = {10.1002/nla.2300}
}
@article{morTorLMetal23,
author = {Torchio, R. and Lucchini, F. and Filippini, M. and Romano,
D. and Feng, L. and Benner, P. and Antonini, G.},
title = {A reduced order modelling approach for full-{M}axwell
lightning strike analyses in layered backgrounds},
journal = ieeetranspd,
year = 2023,
volume = 38,
number = 3,
pages = {1949--1957},
doi = {10.1109/TPWRD.2022.3228900}
}
@article{morTroMF92,
author = {I. Troch and P.~C. M{\"{u}}ller and K.-H. Fasol},
title = {Modellreduktion f{\"{u}}r {S}imulation und {R}eglerentwurf},
journal = atautom,
year = 1992,
volume = 40,
number = 4,
pages = {132--141}
}
@article{morTroV09,
author = {Tr{\"{o}}ltzsch, F. and Volkwein, S.},
title = {{POD} a-posteriori error estimates for linear-quadratic
optimal control problems},
journal = {Comput. Optim. Appl.},
year = 2009,
volume = 44,
number = 1,
pages = {83--115}
}
@article{morTuRLetal14,
author = {Tu, J.~H. and Rowley, C.~W. and Luchtenburg, D.~M. and
Brunton, S.~L. and Kutz, J.~N.},
title = {On dynamic mode decomposition: Theory and applications},
journal = {Journal of Computational Dynamics},
year = 2014,
volume = 1,
number = 2,
pages = {391--421},
doi = {10.3934/jcd.2014.1.391}
}
@mastersthesis{morUdd11,
author = {Uddin, M.~M.},
title = {Model Reduction for Piezo-Mechanical Systems using {B}alanced
{T}runcation},
school = {Stockholm University},
year = 2011,
type = {Master's thesis},
address = {Stockholm, Sweden},
url = {http://www.qucosa.de/fileadmin/data/qucosa/documents/7822/Master_Thesis_Uddin.pdf}
}
@phdthesis{morUdd15,
author = {Uddin, M.~M.},
title = {Computational Methods for Model Reduction of Large-Scale
Sparse Structured Descriptor Systems},
type = {{D}issertation},
school = ovgu,
address = {Magdeburg, Germany},
year = 2015,
url = {http://nbn-resolving.de/urn:nbn:de:gbv:ma9:1-6535}
}
@article{morUddSKetal12,
author = {Uddin, M.~M. and Saak, J. and Kranz, B. and Benner, P.},
title = {Computation of a compact state space model for an adaptive
spindle head configuration with piezo actuators using balanced
truncation},
journal = {Production Engineering},
year = 2012,
volume = 6,
pages = {577--586},
issn = {0944-6524},
issue = 6,
doi = {10.1007/s11740-012-0410-x},
publisher = springer
}
@incollection{morUzuK17,
author = {Uzunca, M. and Karas{\"{o}}zen, B.},
title = {Energy stable model order reduction for the {A}llen-{C}ahn
equation},
booktitle = {Model Reduction of Parametrized Systems},
publisher = {Springer},
year = 2017,
editor = {Benner, P. and Ohlberger, M. and Patera, A.~T. and Rozza,
G. and Urban, K.},
volume = 17,
series = {Modeling, Simulation and Applications},
pages = {403--419},
address = {Cham},
doi = {10.1007/978-3-319-58786-8_25}
}
@inproceedings{morVakK99,
author = {Vakilian, M. and Ketabi, A.},
title = {A method for reduction of power system transient model},
booktitle = {1999 IEEE Transmission and Distribution Conference},
pages = {198--205},
year = {1999},
doi = {10.1109/TDC.1999.755340}
}
@inproceedings{morVan00,
author = {Van~Dooren, P.},
title = {Gramian Based Model Reduction of Large-Scale Dynamical
Systems},
booktitle = {Numerical Analysis 1999. Proc. 18th Dundee Biennial Conference
on Numerical Analysis},
year = 2000,
editor = {D.~F. Griffiths and G.~A. Watson},
pages = {231--247},
address = {London, UK},
publisher = {Chapman \& Hall/CRC},
url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.2500}
}
@phdthesis{morVan04,
author = {Vandendorpe, A.},
title = {Model reduction of linear systems, an interpolation point of
view},
school = {Universit{\'e} Catholique De Louvain},
year = 2004,
address = {Lleuven, Belgium}
}
@article{morVanGA08,
author = {Van~Dooren, P. and Gallivan, K. and Absil, P.-A.},
title = {{$\mathcal{H}_2$}-optimal model reduction of {MIMO} systems},
journal = applmathlett,
year = 2008,
volume = 21,
pages = {1267--1273},
doi = {10.1016/j.aml.2007.09.015}
}
@article{morVanGA10,
author = {Van~Dooren, P. and Gallivan, K.~A. and Absil, P.-A.},
title = {{$\mathcal{H}_2$}-Optimal Model Reduction with Higher-Order
Poles},
journal = siammatrix,
year = 2010,
volume = 31,
number = 5,
pages = {2738--2753},
doi = {10.1137/080731591}
}
@incollection{morVanV08,
author = {Vandendorpe, A. and Van~Dooren, P.},
title = {Model Reduction of Interconnected Systems},
booktitle = {Model Order Reduction: Theory, Research Aspects and
Applications},
publisher = {Springer},
year = 2008,
editor = {Schilders, W.~H.~A. and van~der~Vorst, H.~A. and Rommes, J.},
volume = 13,
series = {Mathematics in Industry},
pages = {305--321},
address = {Berlin, Heidelberg},
isbn = {978-3-540-78841-6},
doi = {10.1007/978-3-540-78841-6_14}
}
@incollection{morVar01,
author = {A. Varga},
title = {Model Reduction Software in the {SLICOT} Library},
booktitle = {Applied and Computational Control, Signals, and Circuits},
publisher = {Kluwer Academic Publishers},
year = 2001,
editor = {B.~N. Datta},
volume = 629,
series = {The Kluwer International Series in Engineering and Computer
Science},
pages = {239--282},
address = {Boston, MA}
}
@inproceedings{morVar91,
author = {Varga, A.},
title = {Efficient minimal realization procedure based on balancing},
booktitle = {Prepr. of the IMACS Symp. on Modelling and Control of
Technological Systems},
volume = 2,
pages = {42--47},
year = 1991
}
@inproceedings{morVar91a,
author = {A. Varga},
title = {Balancing-free square-root algorithm for computing singular
perturbation approximations},
booktitle = {Proc. 30th IEEE Conf. Dec. Control, Brighton, UK},
year = 1991,
pages = {1062--1065},
doi = {10.1109/CDC.1991.261486}
}
@incollection{morVar91b,
author = {A. Varga},
title = {Minimal realization procedures based on balancing and related
techniques},
booktitle = {Computer Aided Systems Theory -- EUROCAST'91},
publisher = {Springer},
year = 1991,
editor = {Pichler, F. and Diaz, R.~M.},
volume = 585,
series = {Lecture Notes in Computer Science},
pages = {733--761},
doi = {10.1007/BFb0021056}
}
@article{morVar95,
author = {A. Varga},
title = {Enhanced modal approach for model reduction},
journal = {Math. Model. Syst.},
year = 1995,
volume = 1,
number = 2,
pages = {91--105}
}
@techreport{morVar98,
author = {A. Varga},
title = {Task {II.~A.1} -- Selection of Model Reduction Routines},
institution = {The Working Group on Software (WGS)},
year = 1998,
type = {SLICOT Working Note},
number = {1998--2},
month = jun,
note = {Available from \url{www.slicot.org}}
}
@techreport{morVar99,
author = {A. Varga},
title = {Model reduction routines for {SLICOT}},
institution = {The Working Group on Software (WGS)},
year = 1999,
type = {NICONET Report},
number = {1999--8},
month = jun,
note = {Available from \url{www.slicot.org}}
}
@article{morVar99a,
author = {A. Varga},
title = {Balancing related methods for minimal realization of periodic
systems},
journal = scl,
year = 1999,
volume = 36,
pages = {339--349}
}
@techreport{morVar99b,
author = {A. Varga},
title = {Task {II.~B.1} -- Selection of Software for Controller
Reduction},
institution = {The Working Group on Software (WGS)},
year = 1999,
type = {SLICOT Working Note},
number = {1999--18},
month = dec,
note = {Available from \url{www.slicot.org}}
}
@article{morVarA03,
author = {Varga, A. and Anderson, B.~D.~O.},
title = {Accuracy-enhancing methods for balancing-related
frequency-weighted model and controller reduction},
journal = automatica,
year = 2003,
volume = 39,
pages = {919--927}
}
@inproceedings{morVarF93,
author = {A. Varga and K.~H. Fasol},
title = {A new square--root balancing--free stochastic truncation model
reduction algorithm},
booktitle = {Prepr. 12th {IFAC} World Congress},
year = 1993,
volume = 7,
pages = {153--156},
address = {Sydney, Australia}
}
@article{morVerP05,
author = {Veroy, K. and Patera, A.~T.},
title = {Certified real-time solution of the parametrized steady
incompressible {N}avier-{S}tokes equations: rigorous
reduced-basis a posteriori error bounds},
journal = {Internat. J. Numer. Methods Fluids},
year = 2005,
volume = 47,
number = {8-9},
pages = {773--788},
coden = {IJNFDW},
fjournal = {International Journal for Numerical Methods in Fluids},
issn = {0271-2091}
}
@inproceedings{morVerPRetal03,
author = {Veroy, K. and Prud'Homme, C. and Rovas, D.~V. and Patera,
A.~T.},
title = {A Posteriori Error Bounds for Reduced-Basis Approximation of
Parametrized Noncoercive and Nonlinear Elliptic Partial
Differential Equations},
booktitle = {16th AIAA Computational Fluid Dynamics Conference},
address = {Orlando, United States},
year = {2003},
url = {https://hal.archives-ouvertes.fr/hal-01219051}
}
@article{morVetSBetal22,
author = {Vettermann, J. and Steinert, A. and Brecher, C.
and Benner, P. and Saak, J.},
title = {Compact thermo-mechanical models for the fast simulation of
machine tools with nonlinear component behavior},
journal = atautom,
year = 2022,
volume = 70,
number = 8,
pages = {692--704},
doi = {10.1515/auto-2022-0029}
}
@article{morVetSNetal21,
author = {Vettermann, J. and Sauerzapf, S. and Naumann, A. and
Beitelschmidt, M. and Herzog, R. and Benner, P. and Saak, J.},
title = {Model order reduction methods for coupled machine tool models},
journal = {MM Science Journal},
year = 2021,
volume = {Special Issue ICTIMT2021 --- 2nd International Conference on
Thermal Issues in Machine Tools, April 20, 2021, Prague,
Czech Republic},
number = 3,
pages = {4652--4659},
issn = {1805-0476},
doi = {10.17973/mmsj.2021_7_2021072}
}
@article{morVilS87,
author = {Villemagne, De~C. and Skelton, R.~E.},
title = {Model Reduction using a Projection Formulation},
journal = intcontrol,
year = 1987,
volume = 46,
number = 6,
pages = {2141--2169},
doi = {10.1080/00207178708934040}
}
@phdthesis{morVol01,
author = {Volkwein, S.},
title = {Optimal and Suboptimal Control of Partial Differential
Equations: Augmented {L}agrange-{SQP} Methods and
Reduced-order Modeling with Proper Orthogonal Decomposition},
school = {Karl-Franzens-Universit{\"{a}}t Graz},
year = 2001,
type = {habilitation},
series = {Grazer Mathematische Berichte 343}
}
@techreport{morVol13,
author = {S. Volkwein},
title = {Model Reduction using Proper Orthogonal Decomposition},
institution = {University of Konstanz},
year = 2013,
type = {Lecture notes},
annote = {Script in English language, 41 pages}
}
@article{morVolH08,
author = {Volkwein, S. and Hepberger, A.},
title = {Impedance Identification by {POD} Model Reduction Techniques
{(Impedanz-Identifikation mittels POD Modellreduktion)}},
journal = atautom,
year = 2008,
volume = 56,
number = {8/2008},
pages = {437--446},
publisher = {Oldenbourg}
}
@mastersthesis{morVos05,
author = {Vo{\ss}, T.},
title = {Model reduction for nonlinear differential algebraic
equations},
school = {Universit{\"{a}}t Wuppertal},
year = 2005,
type = {Diploma Thesis},
address = {Wuppertal}
}
@article{morVosPMetal07,
author = {Vo{\ss}, T. and Pulch, R. and Maten, E.~J.~W. and
{El~Guennouni}, A.},
title = {Trajectory Piecewise Linear Approach for Nonlinear
Differential-Algebraic Equations in circuit simulation},
journal = {Mathematics in industry},
year = 2007,
volume = 11,
pages = {167--174},
editor = {Ciuprina, G. and Ioan, D.},
publisher = {Springer}
}
@phdthesis{morVui14,
author = {Vuillemin, P.},
title = {Frequency-limited model approximation of large-scale dynamical
models},
school = {Universit{\'e} de Toulouse},
year = 2014,
url = {http://www.pierre-vuillemin.fr/publi/vuillemin_thesis_2014.pdf}
}
@article{morWalH12,
author = {S. Waldherr and B. Haasdonk},
title = {Efficient Parametric Analysis of the Chemical Master Equation
through Model Order Reduction},
journal = {BMC Systems Biology},
year = 2012,
volume = 6,
pages = 81,
doi = {10.1186/1752-0509-6-81}
}
@inproceedings{morWanFLetal24,
author = {C. Wang and L. Feng and W. Lu and W. Bian and Z. You and
P. Benner},
title = {Active learning enhanced deep-learning surrogate model for
fast {MEMS} design with high-dimensional design parameter
spaces},
booktitle = {19th IEEE International Conference on Nano/Micro Engineered
and Molecular Systems (IEEE NEMS 2024)},
year = 2024,
note = {accepted}
}
@inproceedings{morWanGV04,
author = {Wang, J. and Ghanta, P. and Vrudhula, S.},
title = {Stochastic analysis of interconnect performance in the
presence of process variations},
booktitle = {Computer Aided Design, 2004. ICCAD-2004. IEEE/ACM
International Conference on},
year = 2004,
pages = {880--886}
}
@inproceedings{morWanHW06,
author = {Wang, S.-C. and Huang, P.-H. and Wu, C.-J.},
title = {Application of fuzzy {C}-means clustering in power system
model reduction for controller design},
booktitle = {5th WSEAS International Conference on Computational
Intelligence, Man-machine systems and Cybernetics},
year = {2006},
pages = {223--227},
url = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.588.6659&rep=rep1&type=pdf}
}
@article{morWanLZetal14,
author = {Wang, S. and Lu, S. and Zhou, N. and Lin, G. and Elizondo, M.
and Pai, M.~A.},
title = {Dynamic-feature extraction, attribution, and reconstruction
({DEAR}) method for power system model reduction},
journal = {IEEE Transactions on Power Systems},
year = {2014},
volume = {29},
number = {5},
pages = {2049--2059},
doi = {10.1109/TPWRS.2014.2301032}
}
@article{morWanY18,
author = {Wang, X. and Yu, M.},
title = {The Error Bound of Timing Domain in Model Order Reduction by
{K}rylov Subspace Methods},
journal = {Journal of Circuits, Systems, and Computers},
volume = {27},
number = {6},
pages = {1850093},
year = {2018},
doi = {10.1142/S0218126618500937}
}
@inproceedings{morWanYLetal13,
author = {Wang, C. and Yu, H. and Li, P. and Ding, C. and Sun, C. and
Guo, X. and Zhang, F. and Zhou, Y. and Yu, Z.},
title = {{K}rylov subspace based model reduction method for transient
simulation of active distribution grid},
booktitle = {2013 IEEE Power \& Energy Society General Meeting},
year = {2013},
pages = {13933173},
doi = {10.1109/PESMG.2013.6672277}
}
@article{morWanYLetal15,
author = {Wang, C. and Yu, H. and Li, P. and Wu, J. and Ding, C.},
title = {Model order reduction for transient simulation of active
distribution networks},
journal = {IET Generation, Transmission \& Distribution},
year = {2015},
volume = {9},
number = {5},
doi = {10.1049/iet-gtd.2014.0219}
}
@article{morWebW88,
author = {Weber, H. and Welfonder, E.},
title = {Dynamic model reduction for the modal analysis of frequency
and power oscillations in large power systems},
journal = {IFAC Proceedings Volumes},
volume = {21},
number = {11},
pages = {233--239},
year = {1988},
doi = {10.1016/S1474-6670(17)53749-0}
}
@article{morWeiMGetal99,
author = {Weile, D.~S. and Michielssen, E. and Grimme, E. and Gallivan,
K.},
title = {A method for generating rational interpolant reduced order
models of two-parameter linear systems},
journal = applmathlett,
year = 1999,
volume = 12,
number = 5,
pages = {93--102},
coden = {AMLEEL},
fjournal = {Applied Mathematics Letters. An International Journal of Rapid
Publication},
issn = {0893-9659}
}
@mastersthesis{morWer16,
author = {Werner, S.},
title = {Hankel-Norm Approximation of Descriptor Systems},
school = ovgu,
year = 2016,
address = {Magdeburg, Germany},
doi = {10.25673/4507}
}
@inproceedings{morWerGG22,
author = {Werner, S.~W.~R. and Gosea, I.~V. and Gugercin, S.},
title = {Structured vector fitting framework for mechanical systems},
booktitle = {IFAC-PapersOnLine, 18th Vienna International Conference on
Mathematical Modelling MATHMOD 2022},
year = 2022,
volume = 55,
pages = {163--168},
doi = {10.1016/j.ifacol.2022.09.089}
}
@misc{morWiki,
author = {{The MORwiki Community}},
title = {{MORwiki} - {M}odel {O}rder {R}eduction {W}iki},
howpublished = {\url{http://modelreduction.org}},
key = {morwiki}
}
@article{morWil07,
author = {Willems, J.~C.},
title = {ln Control, Almost from the Beginning Until the Day After
Tomorrow},
journal = europjcon,
year = 2007,
volume = 13,
pages = {71--81}
}
@article{morWil70,
author = {Wilson, D.~A.},
title = {Optimum Solution of Model-Reduction Problem},
journal = {Proceedings of the Institution of Electrical Engineers},
year = 1970,
volume = 117,
number = 6,
pages = {1161--1165},
doi = {10.1049/piee.1970.0227}
}
@article{morWil85,
author = {Wilson, D.~A.},
title = {The {H}ankel operator and its induced norms},
journal = intcontrol,
year = 1985,
volume = 42,
number = 1,
pages = {65--70},
doi = {10.1080/00207178508933346}
}
@article{morWilP02,
author = {Willcox, K. and Peraire, J.},
title = {Balanced Model Reduction via the Proper Orthogonal
Decomposition},
journal = aiaa,
year = 2002,
volume = 40,
number = 11,
pages = {2323--2330},
doi = {10.2514/2.1570}
}
@article{morWilSK13,
author = {Williams, M.~O. and Schmid, P.~J. and Kutz, J.~N.},
title = {Hybrid Reduced-Order Integration with Proper Orthogonal
Decomposition and Dynamic Mode Decomposition},
journal = {Multiscale Modeling \& Simulation},
year = 2013,
volume = 11,
number = 2,
pages = {522--544},
doi = {10.1137/120874539}
}
@article{morWirKH14,
author = {Wirtz, D. and Karajan, N. and Haasdonk, B.},
title = {Surrogate modeling of multiscale models using kernel methods},
journal = {Int. J. Numer. Methods Eng.},
year = 2014,
volume = 101,
number = 1,
pages = {1--28},
doi = {10.1002/nme.4767}
}
@inproceedings{morWitMSetal02,
author = {Wittig, T. and Munteanu, I. and Schuhmann, R. and Weiland, T.},
title = {Two-Step {L}anczos Algorithm for Model Order Reduction},
booktitle = ieeetransmag,
year = 2002,
volume = 38,
pages = {673--676}
}
@article{morWitMSetal02a,
author = {Wittig, T. and Munteanu, I. and Schuhmann, R. and Weiland, T.},
title = {Model Order Reduction and Equivalent Circuit Extraction for
{FIT} Discretized Electromagnetic Systems},
journal = {International Journal of Numerical Modelling: Electronic
Networks, Devices and Fields},
year = 2002,
volume = 15,
number = 6,
pages = {517--533},
month = oct
}
@article{morWitSW06,
author = {Wittig, T. and Schuhmann, R. and Weiland, T.},
title = {Model order reduction for large systems in computational
electromagnetics},
journal = linalgapp,
year = 2006,
volume = 415,
number = {2--3},
pages = {499--530}
}
@article{morWitTKetal16,
author = {Wittmuess, P. and Tarin, C. and Keck, A. and Arnold, E. and
Sawodny, O.},
title = {Parametric Model Order Reduction via Balanced Truncation with
{T}aylor Series Representation},
journal = {{IEEE} Trans. Autom. Control},
year = 2016,
volume = 61,
number = 11,
pages = {3438--3451},
month = nov,
doi = {10.1109/TAC.2016.2521361},
issn = {2334-3303}
}
@phdthesis{morWol15,
author = {Wolf, T.},
title = {${H}_2$ Pseudo-Optimal Model Order Reduction},
school = tum,
year = 2015,
type = {{D}issertation},
address = {Munich, Germany}
}
@article{morWolP16,
author = {T. Wolf and H.K.F. Panzer},
title = {The {ADI} iteration for {L}yapunov equations implicitly performs
{H2} pseudo-optimal model order reduction},
journal = intcontrol,
year = 2016,
volume = 89,
number = 3,
pages = {481--493},
publisher = {Taylor \& Francis},
doi = {10.1080/00207179.2015.1081985}
}
@article{morWolPL11,
author = {Wolf, T. and Panzer, H. and Lohmann, B.},
title = {{G}ramian-based error bound in model reduction by {K}rylov
subspace methods},
journal = {IFAC Proceedings Volumes (18th IFAC World Congress)},
year = 2011,
volume = 44,
number = 1,
pages = {3587--3592},
doi = {10.3182/20110828-6-IT-1002.02809}
}
@article{morWolPL13,
author = {Wolf, T. and Panzer, H.~K.~F. and Lohmann, B.},
title = {Model Order Reduction by Approximate Balanced Truncation: A
Unifying Framework},
journal = atautom,
year = 2013,
volume = 61,
number = 8,
pages = {545--556},
doi = {10.1524/auto.2013.1007}
}
@article{morWon08,
author = {Wong, N.},
title = {Efficient Positive-Real Balanced Truncation of Symmetric
Systems Via Cross-{R}iccati Equations},
journal = ieeetranscadcs,
year = 2008,
volume = 27,
number = 3,
pages = {470--480},
doi = {10.1109/TCAD.2008.915534}
}
@article{morWonB07,
author = {Wong, N. and Balakrishnan, V.},
title = {Fast Positive-Real Balanced Truncation Via Quadratic
Alternating Direction Implicit Iteration},
journal = ieeetranscadcs,
year = 2007,
volume = 26,
number = 9,
pages = {1725--1731},
month = sep,
doi = {10.1109/TCAD.2007.895617}
}
@article{morWonBKetal06,
author = {Wong, N. and Balakrishnan, V. and Koh, C.-K. and Ng, T.-S.},
title = {Two Algorithms for Fast and Accurate Passivity-Preserving
Model Order Reduction},
journal = {IEEE Trans. Comput. Aided. Des. Integr. Circuits Syst.},
year = 2006,
volume = 25,
number = 10,
pages = {2062--2075},
month = oct,
doi = {10.1109/TCAD.2006.873893}
}
@phdthesis{morWor94,
author = {P.~M.~R. Wortelboer},
title = {Frequency-weighted Balanced Reduction of Closed-loop
Mechanical Servo-systems: Theory and Tools},
school = {Delft University of Technology},
year = 1994,
type = {{Ph.D. Thesis}},
address = {Delft, NL}
}
@phdthesis{morWya12,
author = {Wyatt, S.},
title = {Issues in Interpolatory Model Reduction: Inexact Solves,
Second-order Systems and {DAE}s},
school = vtech,
year = 2012,
address = {Blacksburg, Virginia, USA},
month = may,
url = {http://hdl.handle.net/10919/27668}
}
@article{morXiaJ14,
author = {Xiao, Zhi-Hua and Jiang, Yao-Lin},
title = {Dimension reduction for second-order systems by general
orthogonal polynomials},
journal = mcmds,
year = 2014,
volume = 20,
number = 4,
pages = {414--432},
doi = {10.1080/13873954.2013.867274}
}
@article{morXuJ20,
author = {Xu, K. and Jiang, Y.},
title = {Structure-preserving interval-limited balanced truncation
reduced models for port-{H}amiltonian systems},
journal = {IET Control Theory \& Applications},
volume = {14},
number = {3},
pages = {405--414},
year = {2020},
doi = {10.1049/iet-cta.2019.0566}
}
@article{morXuLBetal25,
author = {Xu, Kang-Li and Li, Zhen and Benner, Peter},
title = {Parametric Interpolation Model Order Reduction on {Grassmann}
Manifolds by Parallelization},
journal = ieeetranscsii,
year = 2025,
volume = 72,
number = 1,
pages = {198--202},
doi = {10.1109/TCSII.2024.3460171}
}
@article{morXuZ11,
author = {Xu, Y. and Zeng, T.},
title = {Optimal {$\mathcal{H}_2$} Model Reduction for Large Scale
{MIMO} Systems via Tangential Interpolation},
journal = {Int. J. Numer. Anal. Model.},
year = 2011,
volume = 8,
number = 1,
pages = {174--188},
url = {http://www.math.ualberta.ca/ijnam/Volume-8-2011/No-1-11/2011-01-10.pdf}
}
@inproceedings{morXueC16,
author = {Xue, N. and Chakrabortty, A.},
title = {$\mathcal{H}_2$-clustering of closed-loop consensus networks
under a class of {LQR} design},
booktitle = {American Control Conference (ACC)},
year = 2016,
pages = {7141--7146},
doi = {10.1109/ACC.2016.7526799}
}
@inproceedings{morXueC16a,
author = {Xue, N. and Chakrabortty, A.},
title = {$\mathcal{H}_2$-clustering of closed-loop consensus networks
under generalized {LQR} designs},
booktitle = {IEEE 55th Conference on Decision and Control (CDC)},
year = 2016,
pages = {5116--5121},
doi = {10.1109/CDC.2016.7799051}
}
@techreport{morXueC16b,
author = {Xue, N. and Chakrabortty, A.},
title = {Optimal Control of Large-Scale Networks using Clustering Based
Projections},
institution = {arXiv},
year = 2016,
type = {e-print},
number = {1609.05265},
note = {cs.SY},
url = {https://arxiv.org/abs/1609.05265}
}
@inproceedings{morXueC17,
author = {Xue, N. and Chakrabortty, A.},
title = {{LQG} control of large networks: A clustering-based approach},
booktitle = {American Control Conference (ACC)},
year = 2017,
pages = {2333--2338},
doi = {10.23919/ACC.2017.7963301}
}
@article{morYanCDetal93,
author = {Yang, J. and Chen, C.~S. and De Abreu-Garcia, J.~A. and Xu,
Y.},
title = {Model reduction of unstable systems},
journal = {International Journal of Systems Science},
year = 1993,
volume = 24,
number = 12,
pages = {2407--2414},
doi = {10.1080/00207729308949638},
publisher = {Taylor \& Francis}
}
@inproceedings{morYanL96,
author = {Yan, W.-Y. and Lam, J.},
title = {$L_2$ Optimal Model Reduction},
booktitle = {Proceedings of 35th IEEE Conference on Decision and Control},
year = 1996,
pages = {4276--4281},
doi = {10.1109/CDC.1996.577460}
}
@article{morYanTM08,
author = {Yan, B. and Tan, S.~X.-D. and McGaughy, B.},
title = {Second-Order Balanced Truncation for Passive-Order Reduction
of {RLCK} Circuits},
journal = ieeetranscsii,
year = 2008,
volume = 55,
number = 9,
pages = {942--946},
month = sep
}
@inproceedings{morYanWT08,
author = {Yan, B. and Wang, H. and Tan, S.~X.~D.},
title = {A Survey of RLCK Reduction and Simulation Methods by Fast
Truncated Balanced Realization},
booktitle = {Solid-State and Integrated-Circuit Technology},
year = 2008,
volume = 9,
pages = {2236--2239},
doi = {10.1109/ICSICT.2008.4735035}
}
@inproceedings{morYaoDY08,
author = {Yao, S. and Deng, Y. and Yu, Z.},
title = {Balanced Truncation on Empirical Gramians for
Model-Order-Reduction of Non-Quasi-Static Effects in
{MOSFET}s},
booktitle = {9th International Conference on Solid-State and
Integrated-Circuit Technology},
year = 2008,
pages = {309--312},
doi = {10.1109/ICSICT.2008.4734525}
}
@techreport{morYeuLH17,
author = {Yeung, E. and Liu, Z. and Hodas, N.~O.},
title = {A {K}oopman Operator Approach for Computing and Balancing
{G}ramians for Discrete Time Nonlinear Systems},
institution = {arXiv},
year = 2017,
type = {e-print},
number = {1709.08712},
note = {cs.SY},
url = {https://arxiv.org/abs/1709.08712}
}
@article{morYilGBetal20,
author = {Y{\i}ld{\i}z, S. and Goyal, P. and Benner, P. and
Karas{\"{o}}zen, B.},
title = {Learning Reduced-order Dynamics for Parametrized Shallow Water
Equations from Data},
journal = {International Journal for Numerical Methods in Fluids},
volume = {93},
number = {8},
pages = {2803--2821},
year = {2021},
doi = {10.1002/fld.4998}
}
@phdthesis{morYou06,
author = {Yousefi, A.},
title = {Preserving Stability in Model and Controller Reduction with
application to embedded systems},
school = tum,
year = 2006,
type = {{Ph.D. Thesis}},
address = {M{\"{u}}nchen}
}
@article{morYouL07,
author = {Yousefi, A. and Lohmann, B.},
title = {{Eine Parametrierung reduzierter stabiler Modelle und
stabilisierender Regler} ({A} Parameterization of Reduced
Stable Models and Controllers)},
journal = atautom,
year = 2007,
volume = 55,
number = 9,
pages = {449--456},
publisher = {Oldenbourg}
}
@article{morYouL08,
author = {Yousefi, A. and Lohmann, B.},
title = {A parameterization of reduced stable models and controllers},
journal = intcontrol,
year = 2008,
volume = 81,
number = 1,
pages = {146--155},
coden = {IJCOAZ},
issn = {0020-7179}
}
@inproceedings{morYueFB18,
author = {Yue, Y. and Feng, L. and Benner, P.},
title = {Interpolation of Reduced-Order Models Based on Modal
Analysis},
booktitle = {2018 IEEE MTT-S International Conference on Numerical
Electromagnetic and Multiphysics Modeling and Optimization
(NEMO 2018)},
year = 2018,
pages = {},
doi = {10.1109/NEMO.2018.8503114}
}
@inproceedings{morYueFB19,
author = {Yue, Y. and Feng, L. and Benner, P.},
title = {An Adaptive Method for Interpolating Reduced-Order Models
Based on Matching and Continuation of Poles},
booktitle = {2019 IEEE MTT-S International Conference on Numerical
Electromagnetic and Multiphysics Modeling and Optimization
(NEMO 2019)},
year = 2019,
pages = {},
doi = {10.1109/NEMO43056.2019.9247028}
}
@techreport{morYueFB19a,
author = {Yue, Y. and Feng, L. and Benner, P.},
title = {An Adaptive Pole-Matching Method for Interpolating
Reduced-Order Models},
institution = {arXiv},
year = 2019,
type = {e-print},
number = {1908.00820},
note = {math.NA},
url = {https://arxiv.org/abs/1908.00820}
}
@article{morYueFB19b,
author = {Yue, Y. and Feng, L. and Benner, P.},
title = {Reduced-order Modelling of Parametric Systems via
Interpolation of Heterogeneous Surrogates},
journal = {Advanced Modeling and Simulation in Engineering Sciences},
year = 2019,
volume = 6,
pages = 10,
doi = {10.1186/s40323-019-0134-y}
}
@incollection{morYueFBetal19,
author = {Yue, Y. and Feng, L. and Benner, P. and Pulch, R. and
Sch{\"{o}}ps, S.},
title = {Reduced models and uncertainty quantification},
booktitle = {Nanoelectronic Coupled Problems Solutions},
publisher = {Springer},
year = 2019,
volume = 29,
series = {Mathematics in Industry book series (MATHINDUSTRY) and The
European Consortium for Mathematics in Industry book sub
series (TECMI)},
pages = {329--346},
doi = {10.1007/978-3-030-30726-4_15}
}
@inproceedings{morYueFMetal15,
author = {Yue, Y. and Feng, L. and Meuris, P. and Schoenmaker, W. and
Benner, P.},
title = {Application of {K}rylov-type parametric model order reduction
in efficient uncertainty quantification of electro-thermal
circuit models},
booktitle = {Progress In Electromagnetics Research Symposium (PIERS 2015)},
year = 2015,
pages = {379--384},
doi = {10.17617/2.2223025}
}
@inproceedings{morYueFSetal14,
author = {Yue, Y. and Feng, L. and Seidel-Morgenstern, A. and Benner,
P.},
title = {Efficient Model Reduction of {SMB} Chromatography by
{K}rylov-subspace Method with Application to Uncertainty
Quantification},
booktitle = {24 European Symposium on Computer Aided Process Engineering},
year = 2014,
volume = 33,
series = {Computer Aided Chemical Engineering},
pages = {925--930},
address = {Budapest, Ungarn},
doi = {10.1016/B978-0-444-63456-6.50155-1}
}
@inproceedings{morYueLFetal14,
author = {Yue, Y. and Li, S. and Feng, L. and Seidel-Morgenstern, A. and
Benner, P.},
title = {Using model order reduction to accelerate optimization of
multi-stage linear dynamical systems},
booktitle = {Engineering Optimization 2014},
year = 2014,
pages = {453--458},
address = {Lisbon, Portugal},
publisher = {CRC Press},
isbn = {978-1-138-02725-1},
doi = {10.1201/b17488-80}
}
@article{morZenZC02,
author = {Zeng, X. and Zhou, D. and Cai, W.},
title = {An efficient {DC}-gain matched balanced truncation realization
for {VLSI} interconnect circuit order reduction},
journal = {Microelectronic Engineering},
year = 2002,
volume = 60,
number = {1--2},
pages = {3--15},
doi = {10.1016/S0167-9317(01)00576-7}
}
@article{morZhaC08,
author = {Zhanfeng, M. and Chao, H.},
title = {Structure-preserving balanced truncation for flexible
spacecraft using cross {G}ramian},
journal = {Journal of Beijing University of Aeronautics and Astronautics},
year = 2008,
volume = 34,
number = 12,
pages = {1437--1440},
url = {http://en.cnki.com.cn/Article_en/CJFDTOTAL-BJHK200812017.htm}
}
@article{morZhaFLetal14,
author = {Zhang, Y. and Feng, L. and Li, S. and Benner, P.},
title = {Accelerating {PDE} constrained optimization by the reduced
basis method: application to batch chromatography},
journal = intnumereng,
year = 2015,
volume = 104,
number = 11,
pages = {983--1007},
doi = {10.1002/nme.4950},
publisher = {Wiley Online Library}
}
@article{morZhaFLetal15,
author = {Zhang, Y. and Feng, L. and Li, S. and Benner, P.},
title = {An efficient output error estimation for model order reduction
of parametrized evolution equations},
journal = siamscicomp,
year = 2015,
volume = 37,
number = 6,
pages = {B910--B936},
doi = {10.1137/140998603}
}
@article{morZhaFLetal15a,
author = {Zhang, Y. and Feng, L. and Li, S. and Benner, P.},
title = {Accelerating PDE constrained optimization by the reduced basis
method: application to batch chromatography},
journal = {International Journal for Numerical Methods in Engineering},
year = 2015,
volume = 104,
number = 11,
pages = {983--1007},
doi = {10.1002/nme.4950}
}
@inproceedings{morZhaFLetal15b,
author = {Zhang, Y. and Feng, L. and Li, S. and Benner, P.},
title = {An efficient output error bound for model order reduction of
parametrized evolution equations},
booktitle = {IFAC-PapersOnLine, 18th Vienna International Conference on
Mathematical Modelling MATHMOD 2015},
year = 2015,
volume = 48,
pages = {9--10},
publisher = {Elsevier},
doi = {10.1016/j.ifacol.2015.05.096}
}
@article{morZhaFSetal17,
author = {Zhang, Y. and Feng, L. and Seidel-Morgenstern, A. and Benner,
P.},
title = {Accelerating optimization and uncertainty quantification of
nonlinear {SMB} chromatography using reduced-order models},
journal = {Computers \& Chemical Engineering},
year = 2017,
pages = {237--247},
doi = {10.1016/j.compchemeng.2016.09.017}
}
@article{morZhaL02,
author = {Zhang, L. and Lam, J.},
title = {On {$H_2$} model reduction of bilinear systems},
journal = automatica,
year = 2002,
volume = 38,
number = 2,
pages = {205--216},
coden = {ATCAA9},
doi = {10.1016/S0005-1098(01)00204-7}
}
@article{morZhaLR17,
author = {Zhao, H. and Lan, X. and Ren, H.},
title = {Nonlinear power system model reduction based on empirical
{G}ramians},
journal = {Journal of Electrical Engineering},
year = {2017},
volume = {68},
number = {6},
pages = {425--434},
doi = {10.1515/jee-2017-0077}
}
@inproceedings{morZhaW19,
author = {Zhang, W. and Wei, M.},
title = {Solving Generalized Eigenvalue Problem: an Alternative
Approach for Dynamic Mode Decomposition},
booktitle = {AIAA Scitech 2019 Forum},
year = 2019,
pages = 1897,
doi = {10.2514/6.2019-1897}
}
@article{morZhaXS13,
author = {Zhao, H.-S. and Xue, N. and Shi, N.},
title = {Nonlinear dynamic power system model reduction analysis using
balanced empirical {G}ramian},
journal = {Applied Mechanics and Materials},
year = 2013,
volume = {448--453},
pages = {2368--2374},
doi = {10.4028/www.scientific.net/AMM.448-453.2368}
}
@inproceedings{morZhoLSetal11,
author = {Zhou, N. and Lu, S. and Singh, R. and Elizondo, M.~A.},
title = {Calibration of reduced dynamic models of power systems using
phasor measurement unit ({PMU}) data},
booktitle = {2011 North American Power Symposium},
year = {2011},
pages = {12318618},
doi = {10.1109/NAPS.2011.6024873}
}
@article{morZhoS08,
author = {Zhou, Y. and Sorensen, D.~C.},
title = {Approximate implicit subspace iteration with alternating
directions for {LTI} system model reduction},
journal = numalgappl,
year = 2008,
volume = 15,
pages = {873--886},
doi = {10.1002/nla.602}
}
@article{morZhoSW99,
author = {K. Zhou and G. Salomon and E. Wu},
title = {Balanced realization and model reduction for unstable systems},
journal = introbcont,
year = 1999,
volume = 9,
number = 3,
pages = {183--198},
doi = {10.1002/(SICI)1099-1239(199903)9:3<183::AID-RNC399>3.0.CO;2-E}
}
@article{morZhuGQ16,
author = {Zhu, Z. and Geng, G. and Jiang, Q.},
title = {Power system dynamic model reduction based on extended
{K}rylov subspace method},
journal = {IEEE Transactions on Power Systems},
volume = {31},
number = {6},
pages = {4483--4494},
year = {2016},
doi = {10.1109/TPWRS.2015.2509481}
}
@inproceedings{morZil91,
author = {A. Zilouchian},
title = {Balanced structures and model reduction of unstable systems},
booktitle = {IEEE Proceedings of the SOUTHEASTCON '91},
year = 1991,
volume = 2,
pages = {1198--1201},
month = apr,
doi = {10.1109/SECON.1991.147956}
}
@inproceedings{morZuyG23,
author = {Zuyev, A. and Gosea, I.~V.},
title = {Approximating a flexible beam model in the {L}oewner
framework},
booktitle = {21st European Control Conference (ECC)},
year = 2023,
pages = {1--7},
doi = {10.23919/ECC57647.2023.10178203}
}
@article{mordelCFetal22,
author = {de la Rubia, V. and Chellappa, S. and Feng, L. and Benner, P.},
title = {Fast A Posteriori State Error Estimation for Reliable
Frequency Sweeping in Microwave Circuits via the Reduced-Basis
Method},
journal = ieeetransmtt,
year = 2022,
volume = 70,
number = 11,
pages = {5172--5184},
doi = {10.1109/TMTT.2022.3203726}
}
@misc{morembsweb,
title = {{MOREMBS} (Model Order Reduction of Elastic Multibody
Systems)},
howpublished = {\url{https://www.itm.uni-stuttgart.de/en/software/morembs/}},
key = {MOREMBS},
organization = {Institute of Engineering and Computational Mechanics,
University of Stuttgart}
}
@misc{morpackweb,
title = {{MORPACK} (Model Order Reduction PACKage)},
howpublished = {\url{https://tu-dresden.de/ing/maschinenwesen/ifkm/dmt/forschung/projekte/morpack}},
key = {MORPACK},
organization = {Chair of Dynamics and Mechanism Design, TU Dresden}
}
@misc{morpymorrepo,
author = {{pyMOR developers and contributors}},
title = {{pyMOR} - Model Order Reduction with {P}ython},
howpublished = {\url{https://github.com/pymor/pymor}},
key = {pymor}
}
@misc{morpymorweb,
author = {{pyMOR developers and contributors}},
title = {{pyMOR} - Model Order Reduction with {P}ython},
howpublished = {\url{https://pymor.org}},
key = {pymor}
}
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