Selected Introductory Works

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 )

• 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.