Publications of Peter Benner

Journal Article

Goyal, P. K., Pontes Duff, I., & Benner, P. (2024)Dominant Subspaces of High-Fidelity Polynomial Structured Parametric Dynamical Systems and Model ReductionAdvances in Computational Mathematics, 50, 42doi: 10.1007/s10444-024-10133-8.

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Journal Article

Kapadia, H., Feng, L., & Benner, P. (2024)Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear SystemsComputer Methods in Applied Mechanics and Engineering, 419, 116657doi: 10.1016/j.cma.2023.116657.

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Journal Article

Przybilla, J., Pontes Duff, I., & Benner, P. (2024)Model Reduction for Second-Order Systems with Inhomogeneous Initial ConditionsSystems & Control Letters, 183, 105671doi: 10.1016/j.sysconle.2023.105671.

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Journal Article

Przybilla, J., Pontes Duff, I., & Benner, P. (2024)Semi-Active Damping Optimization of Vibrational Systems using the Reduced Basis MethodAdvances in Computational Mathematics, 50 (3), 56doi: 10.1007/s10444-024-10141-8.

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Journal Article

Sarna, N., Giesselmann, J., & Benner, P. (2024)Data-Driven Snapshot Calibration via Monotonic Feature MatchingFinite Elements in Analysis & Design, 230, 104065doi: 10.1016/j.finel.2023.104065.

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Journal Article

Yevgenieva, Y., Zuyev, A., Benner, P., & Seidel-Morgenstern, A. (2024)Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric ConstraintJournal of Optimization Theory and Applications, 202, 582–604doi: 10.1007/s10957-024-02439-w.

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Journal Article

Yildiz, S., Goyal, P. K., Bendokat, T., & Benner, P. (2024)Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic LiftingsJournal of Machine Learning for Modeling and Computing, 5 (2), 45–71doi: 10.1615/JMachLearnModelComput.2024052810.

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Journal Article

Zuyev, A., Feng, L., & Benner, P. (2024)Estimates of the Kolmogorov n-Width for Nonlinear Transformations with Application to Distributed-Parameter Control SystemsIEEE Control Systems Letters, 8, 1877–1882doi: 10.1109/LCSYS.2024.3418314.

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2023

Journal Article

Benner, P., Chuiko, S., & Nesmelova, O. (2023)Least Squares Method in the Theory of Nonlinear Boundary-Value Problems unsolved with Respect to the DerivativeUkrainian Mathematical Journal, 75, 40–55doi: 10.1007/s11253-023-02184-9.

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Journal Article

Benner, P., Chuiko, S., & Zuyev, A. (2023)A Periodic Boundary Value Problem with Switchings under Nonlinear PerturbationsBoundary Value Problems, 50, 12 pagesdoi: 10.1186/s13661-023-01734-1.

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Journal Article

Benner, P., Chuiko, S., & Zuyev, A. (2023)Iterative Schemes for Periodic Boundary Value Problems with SwitchingsNonlinear Oscillations, 26 (1), 6–21.

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External

Journal Article

Benner, P., Gugercin, S., & Werner, S. W. R. (2023)A Unifying Framework for Tangential Interpolation of Structured Bilinear Control SystemsNumerische Mathematik, 155, 445–483doi: 10.1007/s00211-023-01380-w.

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Journal Article

Benner, P. & Heiland, J. (2023)Space and Chaos-Expansion Galerkin Proper Orthogonal Decomposition Low-order Discretization of PDEs for Uncertainty QuantificationInternational Journal for Numerical Methods in Engineering, 124 (12), 2801–2817doi: 10.1002/nme.7229.

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Journal Article

Benner, P., Heiland, J., & Werner, S. W. R. (2023)A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic TermsNumerical Algorithms, 92, 1083–1103doi: 10.1007/s11075-022-01331-w.

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post-print

Journal Article

Benner, P., Nakatsukasa, Y., & Penke, C. (2023)A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric MatricesSIAM journal on Matrix Analysis and Applications, 44 (3), 1245–1270doi: 10.1137/22M1484985.

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Journal Article

Benner, P., Palitta, D., & Saak, J. (2023)On an integrated Krylov-ADI Solver for Large-Scale Lyapunov EquationsNumerical Algorithms, 92, 35–63doi: 10.1007/s11075-022-01409-5.

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Journal Article

Benner, P. & Van Dooren, P. (2023)Periodic Two-Dimensional Descriptor SystemsElectronic Journal of Linear Algebra, 39, 472–490doi: 10.13001/ela.2023.7989 .

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Journal Article

Chellappa, S., Cansız, B., Feng, L., Benner, P., & Kaliske, M. (2023)Fast and Reliable Reduced-Order Models for Cardiac ElectrophysiologyGAMM-Mitteilungen, 46 (3-4), e202370014doi: 10.1002/gamm.202370014.

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Journal Article

Chellappa, S., Feng, L., de la Rubia, V., & Benner, P. (2023)Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in ElectromagneticsIEEE Transactions on Microwave Theory and Techniques, 71 (11), 4762–4777doi: 10.1109/TMTT.2023.3288642.

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