Selected Introductory Works: Difference between revisions

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Books

L. Fortuna, G. Nunnari, A. Gallo. "Model Order Reduction Techniques with Applications in Electrical Engineering". Springer, 1992. ISBN 9781447132004

P. Benner, V. L. Mehrmann, D. C. Sorensen. "Dimension Reduction of Large-scale Systems". Springer, 2005. ISBN 9783540279099

S.X.-D. Tan and L. Hei. "Advanced Model Order Reduction Techniques in VLSI Design". Cambridge University Press, 2007. ISBN 9780511541117

W. H. Schilders, H. A. van der Vorst, J. Rommes. "Model Order Reduction: Theory, Research Aspects and Applications". Springer - Mathematics in Industry Vol. 13, 2008. ISBN 9783540788416

A. C. Antoulas. "Approximation of large-scale dynamical systems". SIAM - Advances in Design and Control Vol. 6, 2009. ISBN 9780898715293

P. Benner, M. Hinze, E. J. W. ter Maten. "Model Reduction for Circuit Simulation". Springer - Lecture Notes in Electrical Engineering Vol. 74, 2011. ISBN 9789400700895

G. Obinata, B. D. O. Anderson. "Model Reduction for Control System Design". Springer - Communications and Control Engineering, 2012. ISBN 9781447102830

A. Quarteroni, G. Rozza (Editors). "Reduced Order Methods for Modeling and Computational Reduction". Springer - Modeling, Simulation & Application Vol. 9, 2014. ISBN 9783319020907

J. S. Hesthaven, G. Rozza, B. Stamm. "Certified Reduced Basis Methods for Parametrized Partial Differential Equations". Springer - Briefs in Mathematics, 2015. ISBN 9783319224701

A. Quarteroni, A. Manzoni, F. Negri. "Reduced Basis Methods for Partial Differential Equations: An Introduction". Springer - La Mathematica Per Il 3+2, 2015. ISBN 9783319154312

P. Benner, M. Ohlberger, A. Cohen and K. Willcox (Editors). "Model Reduction and Approximation: Theory and Algorithms". SIAM - Computational Science & Engineering, 2017. ISBN 9781611974812

P. Benner, M. Ohlberger, A. Patera, G. Rozza and K. Urban (Editors). "Model Reduction of Parametrized Systems". Springer - Modeling, Simulation & Application, Vol. 17, 2017. ISBN 9783319587851

Surveys

A.C. Antoulas, D.C. Sorensen and S. Gugercin. "A survey of model reduction methods for large-scale systems". Contemporary Mathematics, 280: 193--219, 2001.

A.C. Antoulas. "An overview of approximation methods for large-scale dynamical systems". Annual Reviews in Control, 29(2): 181--190, 2005.

M. Frangos, Y. Marzouk, K. Willcox, and B. van Bloemen Waanders. "Surrogate and Reduced-Order Modeling: A Comparison of Approaches for Large-Scale Statistical Inverse Problems". In: Large-Scale Inverse Problems and Quantification of Uncertainty: 123--149. John Wiley & Sons, 2010.

U. Baur, P. Benner, L. Feng. "Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective". Archives of Computational Methods in Engineering, 21(4): 331--358, 2014.

P. Benner and H. Fassbender. "Model Order Reduction: Techniques and Tools". In: Encyclopedia of Systems and Control, pages 1--10. Springer, 2014.

P. Benner, S. Gugercin, and K. Willcox. "A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems". SIAM Review, 57(4): 483--531, 2015.

C.W. Rowley and S.T.M. Dawson. "Model Reduction for Flow Analysis and Control". Annual Review of Fluid Mechanics, 49: 387--417, 2017.

Lectures

Cleve Moler. "Eigenvalues and Singular Values". Chapter 10, Numerical Computing with MATLAB.

Sanjay Lall "Robust Control Analysis and Synthesis", 2001.

Henrik Sandberg "Applications: Controller and Nonlinear Model Order Reduction", 2008.

Stefan Volkwein "Model Reduction Using Proper Orthogonal Decomposition", 2011.

Stefan Volkwein "POD a-posteriori error estimation for PDE constrained optimization", CIRM Model Reduction and Approximation for Complex Systems, 2013. (video)

Peter Benner "Matrix Equations and Model Reduction", 2013. (video: Part 1, Part 2, Part 3, Part 4, Part 5)

Volker Mehrmann "Model Reduction: Analysis, Numerical Solution and Real World Applications", 2015. (video: Model Reduction, a Survey, Preservation of Physical Properties in Model Reduction Methods, Model Reduction in Real World and Industrial Applications )

Nathan Kutz "Reduced Order Modelling", 2016. (video: ROM, POD 1, POD 2, POD 3)

Kevin Carlberg "Reduced Order Modelling", 2016. (video: part 1,part 2, part 3, part 4, part 5)

Michael 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)

Bernard 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)

Tatjana Stykel. "Balanced truncation model reduction". LMS - EPSRC Durham Symposium on Model Order Reduction, 2017. (slides: part 1, part 2, part 3)

Serkan Gugercin, Christopher Beattie, and Athanasios 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)

Tobias 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)

Peter 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)

News

P Benner. "Solving large-scale control problems", IEEE Control Systems Magazine 24(1): 44--59, 2004.

M. Gunzburger and K. Willcox. "Reduced-Order Models of Large-Scale Computational Systems", SIAM News 38(5): 2005.

P. Benner. "Numerical Linear Algebra for Model Reduction in Control and Simulation", GAMM Mitteilungen 29(2): 275--296, 2006.

@@ Line 2: / Line 2: @@
 ==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
+* 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
-* 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. 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
+* 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
-* 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
@@ Line 23: / Line 25: @@
 * 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
 ==Surveys==
@@ Line 30: / Line 32: @@
 * 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.
+* 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.
 * 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==
@@ Line 48: / Line 52: @@
 * 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.
+* Stefan 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])
 * 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])
@@ Line 71: / Line 77: @@
 ==News==
-* 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.
+* 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.
+* 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.