Publications of Peter Benner

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)

Bendokat, T.; Benner, P.; Grundel, S.; Nayak, A. S.: Modelling Gas Networks with Compressors: A port-Hamiltonian Approach. 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Proceedings in Applied Mathematics and Mechanics 24 (4), e202400164, (2024)

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation of Quadratic-Bilinear Systems via Regular Multivariate Transfer Functions. 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Magdeburg, Germany, March 18, 2024 - March 22, 2024. Proceedings in Applied Mathematics and Mechanics 24 (3), e202400048, (2024)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. MTNS 2024 - 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 19, 2024 - August 23, 2024. IFAC-PapersOnLine 58 (17), pp. 151 - 156 (2024)

Aumann, Q.; Benner, P.; Gosea, I. V.; Saak, J.: A Tangential Interpolation Framework for the AAA Algorithm. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Aachen, Germany, May 30, 2022 - June 02, 2022. Proceedings in Applied Mathematics and Mechanics 23 (3), e202300183, (2023)

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 in Applied Mathematics and Mechanics 23 (1), e202200286, (2023)

Benner, P.; Chuiko, S.; Chuiko, V.: Adomian Decomposition Method in the Theory of Nonlinear Periodic Boundary Value Problems with Delay. In: DSMSI-2023 - Dynamical System Modelling and Stability Investigation 2023: Selected Papers of the XX International Scientific Conference "Dynamical System Modelling and Stability Investigation " (DSMSI-2023). Volume 1: Mathematical Foundations of Information Technologies, pp. 98 - 106 (Eds. Khusainov, D.; Diblik, J.; Bychkov, O.; Berezansky, L.; Shatyrko, A.). XX International Scientific Conference Dynamical System Modeling and Stability Investigation Conference (DSMSI-2023), Kyiv, Ukraine, December 20, 2023 - December 21, 2023. RWTH Aachen University, Aachen (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 in 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 in Applied Mathematics and Mechanics 23 (3), e202300147, (2023)

Gkimisis, L.; Richter, T.; Benner, P.: Adjacency-based, Non-intrusive Reduced-order Modeling for Fluid-Structure Interactions. 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Dresden, Germany, May 29, 2023 - June 02, 2023. Proceedings in Applied Mathematics and Mechanics 23 (4), e202300047, (2023)