Publications of Peter Benner

Journal Article (145)

2013
Journal Article
Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM Journal on Scientific Computing 35 , pp. S150 - S170 (2013)
2012
Journal Article
Benner, P.; Breiten, T.: Interpolation-Based H2-Model Reduction of Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 33 (3), pp. 859 - 885 (2012)
Journal Article
Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ-Matrices. SIAM Journal on Scientific Computing 34 (1), pp. A485 - A496 (2012)
2011
Journal Article
Baur, U.; Beattie, C.; Benner, P.; Gugercin, S.: Interpolatory Projection Methods for Parameterized Model Reduction. SIAM Journal on Scientific Computing 33 (5), pp. 2489 - 2518 (2011)
Journal Article
Benner, P.; Damm, T.: Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. SIAM Journal on Control and Optimization 49 (2), pp. 686 - 711 (2011)

Book (3)

2021
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction: Volume I: System- and Data-Driven Methods and Algorithms. De Gruyter, Berlin, Boston (2021)
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction - Volume 2: Snapshot-Based Methods and Algorithms. De Gruyter, Berlin, Boston (2021)
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction: Volume 3: Applications. De Gruyter, Berlin, Boston (2021)

Book Chapter (12)

2024
Book Chapter
Beddig, R. S.; Benner, P.; Dorschky, I.; Reis, T.; Schwerdtner, P.; Voigt, M.; Werner, S. W.R.: Structure-Preserving Model Reduction for Dissipative Mechanical Systems. In: Calm, Smooth and Smart: Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation, pp. 209 - 230 (Ed. Eberhard, P.). Springer, Cham, Switzerland (2024)
2023
Book Chapter
Aumann, Q.; Benner, P.; Saak, J.; Vettermann, J.: Model Order Reduction Strategies for the Computation of Compact Machine Tool Models. In: 3rd International Conference on Thermal Issues in Machine Tools (ICTIMT2023), pp. 132 - 145 (Ed. Ihlenfeldt, S.). Springer International Publishing, Cham (2023)
2022
Book Chapter
Chellappa, S.; Feng, L.; Benner, P.: An Adaptive Sampling Approach for the Reduced Basis Method. In: Realization and Model Reduction of Dynamical Systems – A Festschrift in Honor of 70th Birthday of Thanos Antoulas, pp. 137 - 155 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer International Publishing, Cham (2022)
Book Chapter
Himpe, C.; Grundel, S.; Benner, P.: Next-Gen Gas Network Simulation. In: Progress in Industrial Mathematics at ECMI 2021, pp. 107 - 113 (Eds. Ehrhardt, M.; Günther, M.). Springer, Cham, Switzerland (2022)
Book Chapter
Pontes Duff, I.; Goyal, P. K.; Benner, P.: Data-Driven Identification of Rayleigh-Damped Second-Order Systems. In: Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas, pp. 255 - 272 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer International Publishing, Cham (2022)
2021
Book Chapter
Benner, P.; Feng, L.: Model Order Reduction based on Moment-Matching. In: Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, pp. 57 - 96 (Eds. Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W. et al.). De Gruyter, Berlin, Boston (2021)
Book Chapter
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Model Order Reduction: Basic Concepts and Notation. In: Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, pp. 1 - 14 (Eds. Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W. et al.). De Gruyter, Berlin, Boston (2021)
Book Chapter
Benner, P.; Köhler, M.; Saak, J.: Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model Order Reduction. In: Model Reduction of Complex Dynamical Systems, pp. 369 - 392 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham (2021)
Book Chapter
Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Analysis of Switching Strategies for the Optimization of Periodic Chemical Reactions with Controlled Flow-Rate: DSTA, Łódź, Poland December 2–5, 2019. In: Perspectives in Dynamical Systems III: Control and Stability, pp. 59 - 69 (Ed. Awrejcewicz, J.). Springer International Publishing, Switzerland (2021)
Book Chapter
Benner, P.; Werner, S. W. R.: MORLAB – The Model Order Reduction LABoratory. In: Model Reduction of Complex Dynamical Systems, pp. 393 - 415 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)
Book Chapter
Chellappa, S.; Feng, L.; de la Rubia, V.; Benner, P.: Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain. In: Model Reduction of Complex Dynamical Systems, pp. 97 - 117 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham (2021)
Book Chapter
Zuyev, A.; Benner, P.: Stabilization of Crystallization Models Governed by Hyperbolic Systems. In: Stabilization of Distributed Parameter Systems: Design Methods and Applications, pp. 123 - 135 (Eds. Sklyar, G.; Zuyev, A.). Springer International Publishing, Cham (2021)
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