Publications of Peter Benner

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Aumann, Q.; Benner, P.; Saak, J.; Vettermann, J.: Model Order Reduction via Substructuring for a Nonlinear, Differential-Algebraic Machine Tool Model with Moving Loads. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Aachen, Germany, August 15, 2022 - August 19, 2022. Proceedings of Applied Mathematics and Mechanics 23 (1), e202200286, 6 pages, (2023)

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical Systems. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Aachen, Germany, August 15, 2022 - August 19, 2022. Proceedings of Applied Mathematics and Mechanics 23 (1), e202200049, (2023)

Benner, P.; Lund, K.; Saak, J.: Towards a Benchmark Framework for Model Order Reduction in the Mathematical Research Data Initiative (MaRDI). 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Aachen, Germany, August 15, 2022 - August 19, 2022. Proceedings of Applied Mathematics and Mechanics e202300147, (2023)

Benner, P.; Penke, C.: GR Decompositions and their Relations to Cholesky-like Factorizations. 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), (Kassel), March 16, 2020 - March 20, 2020. Proceedings in Applied Mathematics & Mechanics 20 (1), e202000065, 2 pages, (2021)