Selected Introductory Works: Difference between revisions

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Books

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

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

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

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

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

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

A. Quarteroni, G. Rozza. "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 - MS&A, 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.

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, 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.

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

Max Gunzburger and Karen Willcox "Reduced-Order Models of Large-Scale Computational Systems", 2005.

@@ Line 1: / Line 1: @@
 ==Books==
-* P. Benner, V. L. Mehrmann, D. C. Sorensen. "<span class="plainlinks">[http://books.google.de/books?id=7ZEIxkQr39IC 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
-* W. H. Schilders, H. A. van der Vorst, J. Rommes. "<span class="plainlinks">[http://books.google.de/books?id=WWi1evmAQPkC 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
-* A. C. Athanasios. "<span class="plainlinks">[http://books.google.de/books?id=HntlsoAR0NoC Approximation of large-scale dynamical systems]</span>". SIAM - Advances in Design and Control Vol. 6, 2009. ISBN 9780898715293
+* 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
-* G. Obinata, B. D. O. Anderson. "<span class="plainlinks">[http://books.google.de/books?id=Ij_TBwAAQBAJ Model Reduction for Control System Design]</span>". Springer - Communications and Control Engineering, 2012. ISBN 9781447102830
+* 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">[http://books.google.de/books?id=BE3CdTTVH_kC 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
-* A. Quarteroni, G. Rozza. "<span class="plainlinks">[http://books.google.de/books?id=0PW_AwAAQBAJ Reduced Order Methods for Modeling and Computational Reduction]</span>". Springer - Modeling, Simulation \& Application Vol. 9, 2014. ISBN 9783319020907
+* 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
-* J. S. Hesthaven, G. Rozza, B. Stamm. "<span class="plainlinks">[http://books.google.de/books?id=KqtnCgAAQBAJ Certified Reduced Basis Methods for Parametrized Partial Differential Equations]</span>". Springer - Briefs in Mathematics, 2015. ISBN 9783319224701
+* A. Quarteroni, G. Rozza. "<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, A. Manzoni, F. Negri. "<span class="plainlinks">[http://books.google.de/books?id=e6FnCgAAQBAJ Reduced Basis Methods for Partial Differential Equations: An Introduction]</span>". Springer - La Mathematica Per Il 3+2, 2015. ISBN 9783319154312
+* 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
+* A. Quarteroni, A. Manzoni, F. Negri. "<span class="plainlinks">[https://doi.org/10.1007/978-3-319-15431-2 Reduced Basis Methods for Partial Differential Equations: An Introduction]</span>". Springer - La Mathematica Per Il 3+2, 2015. ISBN 9783319154312
 * 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
+==Surveys==
+* A.C. Antoulas, D.C. Sorensen and S. Gugercin. "<span class="plainlinks">[https://doi.org/10.1090/conm/280 A survey of model reduction methods for large-scale systems]</span>". Contemporary Mathematics, 280: 193--219, 2001.
+* 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.
+* 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, 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==
 * Cleve Moler. "<span class="plainlinks">[http://www.mathworks.de/moler/eigs.pdf Eigenvalues and Singular Values]</span>". Chapter 10, Numerical Computing with MATLAB.
@@ Line 49: / Line 67: @@
 * 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])
 ==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.