This is a compilation of the top 10 featured publications. For extended lists, please use the category links above.
(*) is the number of citation
1500* |
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems Peter Benner, Serkan Gugercin, and Karen Willcox SIAM Review, Vol. 57, Issue 4, pp. 483–531, 2015. DOI: 10.1137/130932715 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-14, August 2013. |
560* |
Dimension Reduction of Large-Scale Systems Peter Benner, Volker Mehrmann, and Danny C. Sorensen (Eds.) Lecture Notes in Computational Science and Engineering, Vol. 45, Springer-Verlag, Berlin/Heidelberg, June 2005. [ISBN: 3-540-24545-6] DOI: 10.1007/3-540-27909-1 |
408* |
Numerical Solution of Large-scale Lyapunov Equations, Riccati Equations, and Linear-Quadratic Control Problems Peter Benner, Jing-Rebecca Li, and Thilo Penzl Numerical Linear Algebra with Applications, Vol. 15, No. 9, pp. 755-777, 2008. DOI: 10.1002/nla.622 |
389* |
Model Reduction and Approximation: Theory and Algorithms Peter Benner, Albert Cohen, Mario Ohlberger, and Karen Willcox (Eds.) Computational Science and Engineering, Vol. 15, SIAM Publications, Philadelphia, PA, 2017. [ISBN: 978-1-611974-81-2] DOI: 10.1137/1.9781611974829 Preface |
343* |
SLICOT - A Subroutine Library in Systems and Control Theory Peter Benner, Volker Mehrmann, Vasile Sima, Sabine Van Huffel, and Andras Varga Applied and Computational Control, Signals, and Circuits, Vol. 1, pp. 505-546, 1999. The retrievable version appeared as NICONET Report 97-03, Working Group on Software, June 1997. |
334* |
Model Order Reduction for Linear and Nonlinear Systems: a System-Theoretic Perspective Peter Benner, Ulrike Baur, and Lihong Feng Archives of Computational Methods in Engineering, Vol. 21, No. 4, pp. 331–358, 2014. DOI: 10.1007/s11831-014-9111-2 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-07, March 2014. |
275* |
Interpolatory Projection Methods for Parameterized Model Reduction Ulrike Baur, Christopher Beattie, Peter Benner, and Serkan Gugercin SIAM Journal on Scientific Computing, Vol. 33, Issue 5, pp. 2489-2518, 2011. DOI: 10.1137/090776925 Preliminary version appeared as Chemnitz Scientific Computing Preprints 09-08, TU Chemnitz, November 2009. |
266* |
Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems Peter Benner and Tobias Damm SIAM Journal on Control and Optimization, Vol. 49, No. 2, pp. 686-711, 2011. DOI: 10.1137/09075041X |
216* |
Solving Stable Generalized Lyapunov Equations with the Matrix Sign Function Peter Benner and Enrique S. Quintana-Ortí Numerical Algorithms, Vol. 20, No. 1, pp. 75-100, 1999. DOI: 10.1023/A:1019191431273 Preliminary version appeared as Preprint SFB393/97-23, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, October 1997. |
203* |
On the ADI Method for Sylvester Equations Peter Benner, Reng-Cang Li, and Ninoslav Truhar Journal of Computational and Applied Mathematics, Vol. 233, No. 4, pp. 1035-1045, 2009. DOI: 10.1016/j.cam.2009.08.108. |