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* Cleve Moler. "<span class="plainlinks">[http://www.mathworks.de/moler/eigs.pdf Eigenvalues and Singular Values]</span>". Chapter 10, Numerical Computing with MATLAB. | * Cleve Moler. "<span class="plainlinks">[http://www.mathworks.de/moler/eigs.pdf Eigenvalues and Singular Values]</span>". Chapter 10, Numerical Computing with MATLAB. | ||
* Sanjay Lall "<span class="plainlinks">[http://lall.stanford.edu/engr210a/ Robust Control Analysis and Synthesis]</span>", 2001. | * Sanjay Lall "<span class="plainlinks">[https://web.archive.org/web/20170421213348/http://lall.stanford.edu/engr210a/ Robust Control Analysis and Synthesis]</span>", 2001. | ||
* Henrik Sandberg "<span class="plainlinks">[http://www.ee.kth.se/~hsan/modred_files/L6.pdf Applications: Controller and Nonlinear Model Order Reduction]</span>", 2008. | * Henrik Sandberg "<span class="plainlinks">[http://www.ee.kth.se/~hsan/modred_files/L6.pdf Applications: Controller and Nonlinear Model Order Reduction]</span>", 2008. | ||
| Line 68: | Line 68: | ||
* 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]) | * 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== | ==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. | * 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. | ||
Revision as of 12:53, 2 January 2019
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 (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 - 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 )
- 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.