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[[Category:Miscellaneous]]
Following is a list of selected works introducing the field of model order reduction.
A comprehensive list of journal articles, conference proceedings, collection chapters, and PhD theses can be found on the [[Publications]] page.
==Books==
==Books==
* L. Fortuna, G. Nunnari, A. Gallo. "<span class="plainlinks">[https://doi.org/10.1007/978-1-4471-3198-4 Model Order Reduction Techniques with Applications in Electrical Engineering]</span>". Springer, 1992. ISBN 9781447132004


* P. Benner, V. L. Mehrmann, D. C. Sorensen. "<span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1 Dimension Reduction of Large-scale Systems]</span>". Springer, 2005. ISBN 9783540279099
* P. Benner, V. L. Mehrmann, D. C. Sorensen. "<span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1 Dimension Reduction of Large-scale Systems]</span>". Springer, 2005. ISBN 9783540279099
* S.X.-D. Tan and L. Hei. "<span class="plainlinks">[https://doi.org/10.1017/CBO9780511541117 Advanced Model Order Reduction Techniques in VLSI Design]</span>". Cambridge University Press, 2007. ISBN 9780511541117


* W. H. Schilders, H. A. van der Vorst, J. Rommes. "<span class="plainlinks">[https://doi.org/10.1007/978-3-540-78841-6 Model Order Reduction: Theory, Research Aspects and Applications]</span>". Springer - Mathematics in Industry Vol. 13, 2008. ISBN  9783540788416
* W. H. Schilders, H. A. van der Vorst, J. Rommes. "<span class="plainlinks">[https://doi.org/10.1007/978-3-540-78841-6 Model Order Reduction: Theory, Research Aspects and Applications]</span>". Springer - Mathematics in Industry Vol. 13, 2008. ISBN  9783540788416


* S.X.-D. Tan and L. Hei. "<span class="plainlinks">[https://doi.org/10.1017/CBO9780511541117 Advanced Model Order Reduction Techniques in VLSI Design]</span>". Cambridge University Press, 2007. ISBN 9780511541117
* A. C. Antoulas. "<span class="plainlinks">[https://doi.org/10.1137/1.9780898718713 Approximation of large-scale dynamical systems]</span>". SIAM - Advances in Design and Control Vol. 6, 2009. ISBN 9780898715293


* A. C. Athanasios. "<span class="plainlinks">[https://doi.org/10.1137/1.9780898718713 Approximation of large-scale dynamical systems]</span>". SIAM - Advances in Design and Control Vol. 6, 2009. ISBN 9780898715293
* P. Benner, M. Hinze, E. J. W. ter Maten. "<span class="plainlinks">[https://doi.org/10.1007/978-94-007-0089-5 Model Reduction for Circuit Simulation]</span>". Springer - Lecture Notes in Electrical Engineering Vol. 74, 2011. ISBN 9789400700895


* G. Obinata, B. D. O. Anderson. "<span class="plainlinks">[https://doi.org/10.1007/978-1-4471-0283-0 Model Reduction for Control System Design]</span>". Springer - Communications and Control Engineering, 2012. ISBN 9781447102830
* G. Obinata, B. D. O. Anderson. "<span class="plainlinks">[https://doi.org/10.1007/978-1-4471-0283-0 Model Reduction for Control System Design]</span>". Springer - Communications and Control Engineering, 2012. ISBN 9781447102830


* P. Benner, M. Hinze, E. J. W. ter Maten. "<span class="plainlinks">[https://doi.org/10.1007/978-94-007-0089-5 Model Reduction for Circuit Simulation]</span>". Springer - Lecture Notes in Electrical Engineering Vol. 74, 2011. ISBN  9789400700895
* A. Quarteroni, G. Rozza (Editors). "<span class="plainlinks">[https://doi.org/10.1007/978-3-319-02090-7 Reduced Order Methods for Modeling and Computational Reduction]</span>". Springer - Modeling, Simulation & Application Vol. 9, 2014. ISBN 9783319020907
 
* A. Quarteroni, G. Rozza (Editors). "<span class="plainlinks">[https://doi.org/10.1007/978-3-319-02090-7 Reduced Order Methods for Modeling and Computational Reduction]</span>". Springer - Modeling, Simulation \& Application Vol. 9, 2014. ISBN 9783319020907


* J. S. Hesthaven, G. Rozza, B. Stamm. "<span class="plainlinks">[https://doi.org/10.1007/978-3-319-22470-1 Certified Reduced Basis Methods for Parametrized Partial Differential Equations]</span>". Springer - Briefs in Mathematics, 2015. ISBN 9783319224701
* J. S. Hesthaven, G. Rozza, B. Stamm. "<span class="plainlinks">[https://doi.org/10.1007/978-3-319-22470-1 Certified Reduced Basis Methods for Parametrized Partial Differential Equations]</span>". Springer - Briefs in Mathematics, 2015. ISBN 9783319224701
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* P. Benner, M. Ohlberger, A. Cohen and K. Willcox (Editors). "<span class="plainlinks">[https://doi.org/10.1137/1.9781611974829 Model Reduction and Approximation: Theory and Algorithms]</span>". SIAM - Computational Science & Engineering, 2017. ISBN 9781611974812
* P. Benner, M. Ohlberger, A. Cohen and K. Willcox (Editors). "<span class="plainlinks">[https://doi.org/10.1137/1.9781611974829 Model Reduction and Approximation: Theory and Algorithms]</span>". SIAM - Computational Science & Engineering, 2017. ISBN 9781611974812


* P. Benner, M. Ohlberger, A. Patera, G. Rozza and K. Urban (Editors). "<span class="plainlinks">[https://doi.org/10.1007/978-3-319-58786-8 Model Reduction of Parametrized Systems]</span>". Springer - MS&A, Vol. 17, 2017. ISBN 9783319587851
* P. Benner, M. Ohlberger, A. Patera, G. Rozza and K. Urban (Editors). "<span class="plainlinks">[https://doi.org/10.1007/978-3-319-58786-8 Model Reduction of Parametrized Systems]</span>". Springer - Modeling, Simulation & Application, Vol. 17, 2017. ISBN 9783319587851
 
* P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, R. Zimmermann (Editors). "<span class="plainlinks">[https://doi.org/10.1007/978-3-030-72983-7 Model Reduction of Complex Dynamical Systems]</span>". Springer -  International Series of Numerical Mathematics, Vol. 171, 2021. ISBN 9783030729820
 
* A. C. Antoulas , C. A. Beattie and S. Gugercin. "<span class="plainlinks">[https://doi.org/10.1137/1.9781611976083 Interpolatory Methods for Model Reduction]</span>". SIAM - Computational Science & Engineering, 2020. ISBN 9781611976076
 
* "Model Order Reduction" Handbook Series:
** P. Benner, W. Schilders, S. Grivet-Talocia, A. Quarteroni, G. Rozza and L. M. Silveira. "<span class="plainlinks">[https://www.degruyter.com/view/title/523453 Model Order Reduction, Volume 1: System- and Data-Driven Methods and Algorithms]</span>". De Gruyter, 2021. ISBN 9783110500431
** P. Benner, W. Schilders, S. Grivet-Talocia, A. Quarteroni, G. Rozza and L. M. Silveira. "<span class="plainlinks">[https://doi.org/10.1515/9783110671490 Model Order Reduction, Volume 2: Snapshot-Based Methods and Algorithms]</span>". De Gruyter, 2021. ISBN 9783110671407
** P. Benner, W. Schilders, S. Grivet-Talocia, A. Quarteroni, G. Rozza and L. M. Silveira. "<span class="plainlinks">[https://doi.org/10.1515/9783110499001 Model Order Reduction, Volume 3: Applications]</span>". De Gruyter, 2021. ISBN 9783110500448


==Surveys==
==Surveys==
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* A.C. Antoulas. "<span class="plainlinks">[https://doi.org/10.1016/j.arcontrol.2005.08.002 An overview of approximation methods for large-scale dynamical systems]</span>". Annual Reviews in Control, 29(2): 181--190, 2005.
* A.C. Antoulas. "<span class="plainlinks">[https://doi.org/10.1016/j.arcontrol.2005.08.002 An overview of approximation methods for large-scale dynamical systems]</span>". Annual Reviews in Control, 29(2): 181--190, 2005.
* M. Frangos, Y. Marzouk, K. Willcox, and B. van Bloemen Waanders. "<span class="plainlinks">[https://doi.org/10.1002/9780470685853.ch7 Surrogate and Reduced-Order Modeling: A Comparison of Approaches for Large-Scale Statistical Inverse Problems]</span>". In: Large-Scale Inverse Problems and Quantification of Uncertainty: 123--149. John Wiley & Sons, 2010.


* U. Baur, P. Benner, L. Feng. "<span class="plainlinks">[https://doi.org/10.1007/s11831-014-9111-2 Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective]</span>". Archives of Computational Methods in Engineering, 21(4): 331--358, 2014.
* U. Baur, P. Benner, L. Feng. "<span class="plainlinks">[https://doi.org/10.1007/s11831-014-9111-2 Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective]</span>". Archives of Computational Methods in Engineering, 21(4): 331--358, 2014.
* P. Benner and H. Fassbender. "<span class="plainlinks">[https://doi.org/10.1007/978-1-4471-5102-9_142-1 Model Order Reduction: Techniques and Tools]</span>". In: Encyclopedia of Systems and Control, pages 1--10. Springer, 2014.


* P. Benner, S. Gugercin, and K. Willcox. "<span class="plainlinks">[https://doi.org/10.1137/130932715 A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems]</span>". SIAM Review, 57(4): 483--531, 2015.
* P. Benner, S. Gugercin, and K. Willcox. "<span class="plainlinks">[https://doi.org/10.1137/130932715 A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems]</span>". SIAM Review, 57(4): 483--531, 2015.
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* C.W. Rowley and S.T.M. Dawson. "<span class="plainlinks">[https://doi.org/10.1146/annurev-fluid-010816-060042 Model Reduction for Flow Analysis and Control]</span>". Annual Review of Fluid Mechanics, 49: 387--417, 2017.
* C.W. Rowley and S.T.M. Dawson. "<span class="plainlinks">[https://doi.org/10.1146/annurev-fluid-010816-060042 Model Reduction for Flow Analysis and Control]</span>". Annual Review of Fluid Mechanics, 49: 387--417, 2017.


==Lectures==
* C. Moler. "<span class="plainlinks">[http://www.mathworks.de/moler/eigs.pdf Eigenvalues and Singular Values]</span>". Chapter 10, Numerical Computing with MATLAB.


* S. Lall "<span class="plainlinks">[https://web.archive.org/web/20170421213348/http://lall.stanford.edu/engr210a/ Robust Control Analysis and Synthesis]</span>", 2001.


==Lectures==
* H. Sandberg "<span class="plainlinks">[http://www.ee.kth.se/~hsan/modred_files/L6.pdf Applications: Controller and Nonlinear Model Order Reduction]</span>", 2008.
 
* S. Volkwein "<span class="plainlinks">[http://www.math.uni-konstanz.de/numerik/personen/volkwein/teaching/POD-Vorlesung.pdf Model Reduction Using Proper Orthogonal Decomposition]</span>", 2011.


* Cleve Moler. "<span class="plainlinks">[http://www.mathworks.de/moler/eigs.pdf Eigenvalues and Singular Values]</span>". Chapter 10, Numerical Computing with MATLAB.
* S. Volkwein "<span class="plainlinks">[https://doi.org/10.24350/CIRM.V.18587203 POD a-posteriori error estimation for PDE constrained optimization]</span>", CIRM Model Reduction and Approximation for Complex Systems, 2013. ([https://youtu.be/Vwiep77kdWw video])


* Sanjay Lall "<span class="plainlinks">[http://lall.stanford.edu/engr210a/ Robust Control Analysis and Synthesis]</span>", 2001.
* P. Benner "<span class="plainlinks">[http://g2s3.cs.ucdavis.edu/lecturers/Benner/Benner-lectures-online.pdf Matrix Equations and Model Reduction]</span>", 2013. (video: [http://youtu.be/qyIsF17Wf0k Part 1], [http://youtu.be/XTkMEdn-HYY Part 2], [http://youtu.be/x3lU68L_E1E Part 3], [http://youtu.be/M3KgWHQar8I Part 4], [http://youtu.be/7DGLGT_jReU Part 5])


* Henrik Sandberg "<span class="plainlinks">[http://www.ee.kth.se/~hsan/modred_files/L6.pdf Applications: Controller and Nonlinear Model Order Reduction]</span>", 2008.
* V. Mehrmann "<span class="plainlinks">[http://www.cs.cas.cz/more2015/download/mehrmann.pdf Model Reduction: Analysis, Numerical Solution and Real World Applications]</span>", 2015. (video: [http://slideslive.com/38894556/model-reduction-a-survey Model Reduction, a Survey], [http://slideslive.com/38894557/preservation-of-physical-properties-in-model-reduction-methods Preservation of Physical Properties in Model Reduction Methods], [http://slideslive.com/38894558/model-reduction-in-real-world-and-industrial-applications Model Reduction in Real World and Industrial Applications ])


* Stefan Volkwein "<span class="plainlinks">[http://www.math.uni-konstanz.de/numerik/personen/volkwein/teaching/POD-Vorlesung.pdf Model Reduction Using Proper Orthogonal Decomposition]</span>", 2011.
* N. Kutz "Reduced Order Modelling", 2016. (video: [http://youtu.be/YtFuVwrZxC4 ROM], [http://youtu.be/YX24Jgd90uY POD 1], [http://youtu.be/X5GhhjpX0ao POD 2], [http://youtu.be/sK0cUVD7mxw POD 3])


* Peter Benner "<span class="plainlinks">[http://g2s3.cs.ucdavis.edu/lecturers/Benner/Benner-lectures-online.pdf Matrix Equations and Model Reduction]</span>", 2013. (video: [http://youtu.be/qyIsF17Wf0k Part 1], [http://youtu.be/XTkMEdn-HYY Part 2], [http://youtu.be/x3lU68L_E1E Part 3], [http://youtu.be/M3KgWHQar8I Part 4], [http://youtu.be/7DGLGT_jReU Part 5])
* K. Carlberg "Reduced Order Modelling", 2016. (video: [http://youtu.be/KOHxCIx04Dg part 1],[http://youtu.be/MKL_AGo6Ktk part 2], [http://youtu.be/9zASWKu002U part 3], [http://youtu.be/j38c4hqsEI0 part 4], [http://youtu.be/wcH1BMRDOJY part 5])


* Volker Mehrmann "<span class="plainlinks">[http://www.cs.cas.cz/more2015/download/mehrmann.pdf Model Reduction: Analysis, Numerical Solution and Real World Applications]</span>", 2015. (video: [http://slideslive.com/38894556/model-reduction-a-survey Model Reduction, a Survey], [http://slideslive.com/38894557/preservation-of-physical-properties-in-model-reduction-methods Preservation of Physical Properties in Model Reduction Methods], [http://slideslive.com/38894558/model-reduction-in-real-world-and-industrial-applications Model Reduction in Real World and Industrial Applications ])
* M. Hinze "Proper Orthogonal Decomposition - mathematics and practical aspects". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1453hinz.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1634hinz.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/common/ball1.png part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1453hinz.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1634hinz.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1635hinz.mp4 part 3])


* Nathan Kutz "Reduced Order Modelling", 2016. (video: [http://youtu.be/YtFuVwrZxC4 ROM], [http://youtu.be/YX24Jgd90uY POD 1], [http://youtu.be/X5GhhjpX0ao POD 2], [http://youtu.be/sK0cUVD7mxw POD 3])
* B. Haasdonk. "Reduced Basis Methods for Parametrized Partial Differential Equations". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1448haas.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1642haas.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1643haas.pdf part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1448haas.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1642haas.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1643haas.mp4 part 3])


* Kevin Carlberg "Reduced Order Modelling", 2016. (video: [http://youtu.be/KOHxCIx04Dg part 1],[http://youtu.be/MKL_AGo6Ktk part 2], [http://youtu.be/9zASWKu002U part 3], [http://youtu.be/j38c4hqsEI0 part 4], [http://youtu.be/wcH1BMRDOJY part 5])
* T. Stykel. "Balanced truncation model reduction". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1494styk.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1644styk.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1645styk.pdf part 3])


* Michael Hinze "Proper Orthogonal Decomposition - mathematics and practical aspects". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1453hinz.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1634hinz.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/common/ball1.png part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1453hinz.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1634hinz.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1635hinz.mp4 part 3])
* S. Gugercin, C. Beattie, and A. C. Antoulas. "Model Reduction via Interpolation". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1445guce.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1646guge.pdf part 2]; video [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1445guge.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1646guge.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1647guge.mp4 part 3])


* Bernard Haasdonk. "Reduced Basis Methods for Parametrized Partial Differential Equations". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1448haas.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1642haas.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1643haas.pdf part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1448haas.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1642haas.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1643haas.mp4 part 3])
* T. Damm. "Model order reduction for stochastic systems". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1428damm.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1640damm.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1641damm.pdf part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1428damm.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1640damm.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1641damm.mp4 part 3])


* Tatjana Stykel. "Balanced truncation model reduction". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1494styk.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1644styk.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1645styk.pdf part 3])
* P. Benner. "Parameter-preserving model order reduction of dynamical systems". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1420benn.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1631benn.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1632benn.pdf part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1420benn.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1631benn.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1632benn.mp4 part 3])


* Serkan Gugercin, Christopher Beattie, and Athanasios Antoulas. "Model Reduction via Interpolation". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1445guce.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1646guge.pdf part 2]; video [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1445guge.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1646guge.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1647guge.mp4 part 3])
* C. Beattie, P. Benner, S. Gugercin "An Introduction to System-theoretic Methods for Model Reduction". ICERM - Model and dimension reduction in uncertain and dynamic systems, 2020. (videos:
[https://icerm.brown.edu/video_archive/?play=2126 part 1A], [https://icerm.brown.edu/video_archive/?play=2127 part 1B], [https://icerm.brown.edu/video_archive/?play=2128 part 1C],
[https://icerm.brown.edu/video_archive/?play=2129 part 2A], [https://icerm.brown.edu/video_archive/?play=2130 part 2B],
[https://icerm.brown.edu/video_archive/?play=2132 part 3A], [https://icerm.brown.edu/video_archive/?play=2133 part 3B],
[https://icerm.brown.edu/video_archive/?play=2139 part 4],
[https://icerm.brown.edu/video_archive/?play=2140 part 5])


* Tobias Damm. "Model order reduction for stochastic systems". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1428damm.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1640damm.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1641damm.pdf part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1428damm.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1640damm.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1641damm.mp4 part 3])
==News==


* Peter Benner. "Parameter-preserving model order reduction of dynamical systems". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1420benn.pdf part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1631benn.pdf part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/talks/1632benn.pdf part 3]; video: [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1420benn.mp4 part 1], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1631benn.mp4 part 2], [http://www.maths.dur.ac.uk/events/Meetings/LMS/107/movies/1632benn.mp4 part 3])
* P Benner. "<span class="plainlinks">[https://doi.org/10.1109/MCS.2004.1272745 Solving large-scale control problems]</span>", IEEE Control Systems Magazine 24(1): 44--59, 2004.


* M. Gunzburger and K. Willcox. "<span class="plainlinks">[https://archive.siam.org/news/news.php?id=119 Reduced-Order Models of Large-Scale Computational Systems]</span>", SIAM News 38(5): 2005.


==News==
* P. Benner. "<span class="plainlinks">[https://doi.org/10.1002/gamm.201490034 Numerical Linear Algebra for Model Reduction in Control and Simulation]</span>", GAMM Mitteilungen 29(2): 275--296, 2006.
 
* P. Benner. "<span class="plainlinks">[https://archive.siam.org/pdf/news/1226.pdf Model Reduction at ICIAM '07]</span>", SIAM News 40(8): 2007.
 
* M. Ohlberger and B. Haasdonk. "<span class="plainlinks">[https://www.gamm-ev.de/images/publikationen/pdf/RB_2014_01_weba.pdf#page=6 Wenn die Probleme zahlreicher werden: Reduzierte Basis Methoden für effiziente und gesicherte numerische Simulation]</span>", GAMM Rundbrief 2014(1): 6--13, 2014.


* Max Gunzburger and Karen Willcox "<span class="plainlinks">[https://siam.org/news/news.php?id=119 Reduced-Order Models of Large-Scale Computational Systems]</span>", 2005.
* R. Brueckner. "<span class="plainlinks">[https://insidehpc.com/2020/01/predictive-data-science-for-physical-systems-from-model-reduction-to-scientific-machine-learning/ Predictive Data Science for Physical Systems: From Model Reduction to Scientific Machine Learning]</span>", Inside HPC, 2020.

Latest revision as of 23:41, 27 November 2021


Following is a list of selected works introducing the field of model order reduction. A comprehensive list of journal articles, conference proceedings, collection chapters, and PhD theses can be found on the Publications page.


Books

  • P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, R. Zimmermann (Editors). "Model Reduction of Complex Dynamical Systems". Springer - International Series of Numerical Mathematics, Vol. 171, 2021. ISBN 9783030729820

Surveys

Lectures

  • M. Hinze "Proper Orthogonal Decomposition - mathematics and practical aspects". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: part 1, part 2, part 3; video: part 1, part 2, part 3)
  • B. Haasdonk. "Reduced Basis Methods for Parametrized Partial Differential Equations". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: part 1, part 2, part 3; video: part 1, part 2, part 3)
  • T. Stykel. "Balanced truncation model reduction". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: part 1, part 2, part 3)
  • S. Gugercin, C. Beattie, and A. C. Antoulas. "Model Reduction via Interpolation". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: part 1, part 2; video part 1, part 2, part 3)
  • T. Damm. "Model order reduction for stochastic systems". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: part 1, part 2, part 3; video: part 1, part 2, part 3)
  • P. Benner. "Parameter-preserving model order reduction of dynamical systems". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: part 1, part 2, part 3; video: part 1, part 2, part 3)
  • C. Beattie, P. Benner, S. Gugercin "An Introduction to System-theoretic Methods for Model Reduction". ICERM - Model and dimension reduction in uncertain and dynamic systems, 2020. (videos:

part 1A, part 1B, part 1C, part 2A, part 2B, part 3A, part 3B, part 4, part 5)

News

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