Publications of Peter Benner

Vettermann, J.; Aumann, Q.; Saak, J.; Benner, P.: Rechenzeitsparende Modellierung. In: Thermo-energetische Gestaltung von Werkzeugmaschinen, pp. 199 - 212 (Ed. Brecher, C.). Springer Vieweg, Wiesbaden (2025)

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 (2024)

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)

Yevgenieva, Y.; Zuyev, A.; Benner, P.: Stability and Decay Rate Estimates for a Nonlinear Dispersed Flow Reactor Model with Boundary Control. In: 2025 European Control Conference (EEC). European Control Conference 2025 (EEC), Thessaloniki, Greece, June 24, 2025 - June 27, 2025. (accepted)

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)