Publications of Peter Benner

Journal Article (121)

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 (8)

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, 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 - 416 (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, Switzerland (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, Switzerland (2021)
2020
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 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer Nature (accepted)
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 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer Nature (accepted)

Conference Paper (15)

2021
Conference Paper
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)
Conference Paper
Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Analysis of Switching Strategies for the Optimization of Periodic Chemical Reactions with Controlled Flow-Rate. In: Perspectives in Dynamical Systems III: Control and Stability (Ed. Awrejcewicz, J.). 15th International Conference on Dynamical Systems Theory and Applications, Łódź, Poland, December 02, 2019 - December 05, 2019. Springer International Publishing, Switzerland (accepted)
Conference Paper
Bremer, J.; Heiland, J.; Benner, P.; Sundmacher, K.: Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO2 Methanation. 16th IFAC Symposium on Advanced Control of Chemical Processes - ADCHEM 2021, Venice, Italy, June 13, 2021 - June 16, 2021. IFAC-PapersOnLine 54 (3), pp. 122 - 127 (2021)
2019
Conference Paper
Benner, P.; Heiland, J.; Werner, S. W. R.: Robust Controller versus Numerical Model Uncertainties for Stabilization of Navier-Stokes Equations. 3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Oaxaca, Mexico, May 20, 2019 - May 24, 2019. IFAC-PapersOnLine 52 (2), pp. 25 - 29 (2019)
2018
Conference Paper
Benner, P.; Werner, S. W. R.: Model Reduction of Descriptor Systems with the MORLAB Toolbox. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51 (2), pp. 547 - 552 (2018)
2017
Conference Paper
Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.: Studying Mixed Precision Techniques for the Solution of Algebraic Riccati Equations. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
Conference Paper
Benner, P.; Köhler, M.; Penke, C.: GPU-Accelerated Implementation of the Storage-Efficient QR Decomposition. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
2016
Conference Paper
Benner, P.; Heiland, J.: Robust Stabilization of Laminar Flows in Varying Flow Regimes. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Bertinoro, Italy, June 13, 2016 - June 15, 2016. IFAC-PapersOnLine 49 (8), pp. 31 - 36 (2016)
Go to Editor View