Peter Benner

ORCID

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 224

Top Venues

CoRR

SIAM J. Sci. Comput.

Adv. Comput. Math.

SIAM J. Matrix Anal. Appl.

Publications

Lihong Feng, Sridhar Chellappa, Peter Benner
A posteriori error estimation for model order reduction of parametric systems. Adv. Model. Simul. Eng. Sci. 11 (1) (2024)
Jennifer Przybilla, Igor Pontes Duff, Peter Benner
Semi-active damping optimization of vibrational systems using the reduced basis method. Adv. Comput. Math. 50 (3) (2024)
B. Baran, Peter Benner, Jens Saak, Tony Stillfjord
Numerical methods for closed-loop systems with non-autonomous data. CoRR (2024)
Pawan Goyal, Benjamin Peherstorfer, Peter Benner
Rank-Minimizing and Structured Model Inference. SIAM J. Sci. Comput. 46 (3) (2024)
Jennifer Przybilla, Igor Pontes Duff, Peter Benner
Model reduction for second-order systems with inhomogeneous initial conditions. Syst. Control. Lett. 183 (2024)
Yevgeniia Yevgenieva, Alexander L. Zuyev, Peter Benner, Andreas Seidel-Morgenstern
Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. J. Optim. Theory Appl. 202 (2) (2024)
Petar Mlinaric, Peter Benner, Serkan Gugercin
Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems. CoRR (2024)
Peter Benner, Pawan Goyal
Balanced truncation for quadratic-bilinear control systems. Adv. Comput. Math. 50 (4) (2024)
Alexander Zuyev, Lihong Feng, Peter Benner
Estimates of the Kolmogorov n-Width for Nonlinear Transformations With Application to Distributed-Parameter Control Systems. IEEE Control. Syst. Lett. 8 (2024)
Pawan Goyal, Igor Pontes Duff, Peter Benner
Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction. Adv. Comput. Math. 50 (3) (2024)
Peter Benner, Pawan Goyal, Paul Van Dooren
Parameterized Interpolation of Passive Systems. SIAM J. Matrix Anal. Appl. 45 (2) (2024)
Ali Forootani, Peter Benner
GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations. CoRR (2024)
Igor Pontes Duff, Pawan Goyal, Peter Benner
Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. CoRR (2024)
Pavan L. Veluvali, Jan Heiland, Peter Benner
MaRDIFlow: A CSE workflow framework for abstracting meta-data from FAIR computational experiments. CoRR (2024)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. Adv. Comput. Math. 50 (2) (2024)
Ion Victor Gosea, Luisa Peterson, Pawan Goyal, Jens Bremer, Kai Sundmacher, Peter Benner
Learning reduced-order Quadratic-Linear models in Process Engineering using Operator Inference. CoRR (2024)
Peter Benner, Kathryn Lund, Jens Saak
Towards a Benchmark Framework for Model Order Reduction in the Mathematical Research Data Initiative (MaRDI). CoRR (2023)
Harshit Kapadia, Lihong Feng, Peter Benner
Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems. CoRR (2023)
Peter Benner, Yuji Nakatsukasa, Carolin Penke
A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. SIAM J. Matrix Anal. Appl. 44 (3) (2023)
Jingjing Zhang, Jan Heiland, Peter Benner, Xin Du
Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. CoRR (2023)
Peter Benner, Davide Palitta, Jens Saak
On an integrated Krylov-ADI solver for large-scale Lyapunov equations. Numer. Algorithms 92 (1) (2023)
Petar Mlinaric, Peter Benner, Serkan Gugercin
-optimality Conditions for Structured Linear Time-invariant Systems. CoRR (2023)
Pawan Goyal, Benjamin Peherstorfer, Peter Benner
Rank-Minimizing and Structured Model Inference. CoRR (2023)
Vipin Kumar, Jan Heiland, Peter Benner
Projective lag quasi-synchronization of coupled systems with mixed delays and parameter mismatch: a unified theory. Neural Comput. Appl. 35 (32) (2023)
Pawan Goyal, Igor Pontes Duff, Peter Benner
Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction. CoRR (2023)
Sridhar Chellappa, Baris Cansiz, Lihong Feng, Peter Benner, Michael Kaliske
Fast and Reliable Reduced-Order Models for Cardiac Electrophysiology. CoRR (2023)
Peter Benner, Sergey Chuiko, Viktor Chuiko
Adomian Decomposition Method in The Theory of Nonlinear Periodic Boundary Value Problems with Delay. DSMSI (2023)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. CoRR (2023)
Peter Benner, Pawan Goyal, Paul Van Dooren
Parameterized Interpolation of Passive Systems. CoRR (2023)
Pawan Goyal, Süleyman Yildiz, Peter Benner
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. CoRR (2023)
Kirandeep Kour, Sergey Dolgov, Peter Benner, Martin Stoll, Max Pfeffer
A weighted subspace exponential kernel for support tensor machines. CoRR (2023)
Ali Forootani, Pawan Goyal, Peter Benner
A Robust SINDy Approach by Combining Neural Networks and an Integral Form. CoRR (2023)
Lihong Feng, Luigi Lombardi, Giulio Antonini, Peter Benner
Accelerating greedy algorithm for model reduction of complex systems by multi-fidelity error estimation. CoRR (2023)
Shaimaa Monem Abdelhafez, Peter Benner, Christian Lessig
Improved Projective Dynamics Global Using Snapshots-based Reduced Bases. SIGGRAPH Posters (2023)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
A unifying framework for tangential interpolation of structured bilinear control systems. Numerische Mathematik 155 (3-4) (2023)
Shuwen Sun, Lihong Feng, Hoon Seng Chan, Tamara Milicic, Tanja Vidakovic-Koch, Peter Benner
Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems. CoRR (2023)
Sridhar Chellappa, Lihong Feng, Peter Benner
Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure. CoRR (2023)
Kirandeep Kour, Sergey Dolgov, Martin Stoll, Peter Benner
Efficient Structure-preserving Support Tensor Train Machine. J. Mach. Learn. Res. 24 (2023)
Süleyman Yildiz, Pawan Goyal, Peter Benner
Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. CoRR (2023)
Peter Benner, Jan Heiland, Steffen W. R. Werner
A low-rank solution method for Riccati equations with indefinite quadratic terms. Numer. Algorithms 92 (2) (2023)
Pavan L. Veluvali, Jan Heiland, Peter Benner
MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational Experiments. CoRDI (2023)
Süleyman Yildiz, Pawan Goyal, Thomas Bendokat, Peter Benner
Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. CoRR (2023)
Vipin Kumar, Jan Heiland, Peter Benner
Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales. Neural Process. Lett. 55 (7) (2023)
Pawan Goyal, Igor Pontes Duff, Peter Benner
Inference of Continuous Linear Systems from Data with Guaranteed Stability. CoRR (2023)
Pawan Goyal, Igor Pontes Duff, Peter Benner
Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. CoRR (2023)
Jan Heiland, Peter Benner, Rezvan Bahmani
Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations. Frontiers Appl. Math. Stat. 8 (2022)
Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng, Peter Benner
Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds. Adv. Model. Simul. Eng. Sci. 9 (1) (2022)
Peter Benner, Davide Palitta, Jens Saak
Krylov techniques for low-rank ADI. CoRR (2022)
Björn Baran, Peter Benner, Jens Saak
Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. CoRR (2022)
Peter Benner, Pawan Goyal, Igor Pontes Duff
Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs. IEEE Trans. Autom. Control. 67 (2) (2022)
Peter Benner, Yuji Nakatsukasa, Carolin Penke
A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. CoRR (2022)
Peter Benner, Carolin Penke
Efficient and accurate algorithms for solving the Bethe-Salpeter eigenvalue problem for crystalline systems. J. Comput. Appl. Math. 400 (2022)
Julia Vettermann, Alexander Steinert, Christian Brecher, Peter Benner, Jens Saak
Compact thermo-mechanical models for the fast simulation of machine tools with nonlinear component behavior. Autom. 70 (8) (2022)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
A unifying framework for tangential interpolation of structured bilinear control systems. CoRR (2022)
Hussam Al Daas, Grey Ballard, Peter Benner
Parallel Algorithms for Tensor Train Arithmetic. SIAM J. Sci. Comput. 44 (1) (2022)
Lihong Feng, Luigi Lombardi, Peter Benner, Daniele Romano, Giulio Antonini
Model Order Reduction for Delayed PEEC Models With Guaranteed Accuracy and Observed Stability. IEEE Trans. Circuits Syst. I Regul. Pap. 69 (10) (2022)
Peter Benner, Heike Faßbender, Michel-Niklas Senn
The Hamiltonian Extended Krylov Subspace Method. CoRR (2022)
Pawan Goyal, Peter Benner
Neural ODEs with Irregular and Noisy Data. CoRR (2022)
Peter Benner, Xin Liang
Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues. Numer. Linear Algebra Appl. 29 (6) (2022)
Peter Benner, Jan Heiland, Steffen W. R. Werner
-controllers. Comput. Optim. Appl. 82 (1) (2022)
Pawan Goyal, Peter Benner
Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. CoRR (2022)
Peter Benner, Yuji Nakatsukasa, Carolin Penke
Stable and Efficient Computation of Generalized Polar Decompositions. SIAM J. Matrix Anal. Appl. 43 (3) (2022)
Peter Benner, Enrique S. Quintana-Ortí, Jens Saak
Introduction to the Special Issue related to the Power-Aware Computing Workshop 2019 - PACO 2019. Int. J. High Perform. Comput. Appl. 35 (3) (2021)
Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Cleophas Kweyu, Matthias Stein
Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM J. Sci. Comput. 43 (1) (2021)
Peter Benner, Jan Heiland, Steffen W. R. Werner
A low-rank solution method for Riccati equations with indefinite quadratic terms. CoRR (2021)
Neeraj Sarna, Peter Benner
Learning reduced order models from data for hyperbolic PDEs. CoRR (2021)
Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Rodrigo Gallardo, Enrique S. Quintana-Ortí
Factorized solution of generalized stable Sylvester equations using many-core GPU accelerators. J. Supercomput. 77 (9) (2021)
Sridhar Chellappa, Lihong Feng, Peter Benner
A Training Set Subsampling Strategy for the Reduced Basis Method. CoRR (2021)
Mian Muhammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner, Lihong Feng, Tatjana Stykel
Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. J. Frankl. Inst. 358 (3) (2021)
Valentin de la Rubia, Sridhar Chellappa, Lihong Feng, Peter Benner
Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method. CoRR (2021)
Pawan Goyal, Peter Benner
Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach. CoRR (2021)
Maximilian Behr, Peter Benner, Jan Heiland
Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations. Appl. Math. Comput. 410 (2021)
Neeraj Sarna, Peter Benner
Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. CoRR (2021)
Sridhar Chellappa, Lihong Feng, Valentin de la Rubia, Peter Benner
Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics. CoRR (2021)
Christian Himpe, Sara Grundel, Peter Benner
Next-Gen Gas Network Simulation. CoRR (2021)
Xingang Cao, Peter Benner, Igor Pontes Duff, Wil H. A. Schilders
Model order reduction for bilinear control systems with inhomogeneous initial conditions. Int. J. Control 94 (10) (2021)
Sridhar Chellappa, Lihong Feng, Peter Benner
A Training Set Subsampling Strategy for the Reduced Basis Method. J. Sci. Comput. 89 (3) (2021)
Karim Cherifi, Pawan Goyal, Peter Benner
A Greedy Data Collection Scheme For Linear Dynamical Systems. CoRR (2021)
Peter Benner, Yuji Nakatsukasa, Carolin Penke
Stable and Efficient Computation of Generalized Polar Decompositions. CoRR (2021)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
Structure-preserving interpolation of bilinear control systems. Adv. Comput. Math. 47 (3) (2021)
Pawan Goyal, Peter Benner
LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. CoRR (2021)
Peter Benner, Pawan Goyal
Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM J. Sci. Comput. 43 (1) (2021)
Peter Benner, Heike Faßbender, Philip Saltenberger
A Rational Even-IRA Algorithm for the Solution of T-Even Polynomial Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 42 (3) (2021)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
Structure-preserving interpolation for model reduction of parametric bilinear systems. Autom. 132 (2021)
Cleophas Kweyu, Lihong Feng, Matthias Stein, Peter Benner
Reduced basis method for the nonlinear Poisson-Boltzmann equation regularized by the range-separated canonical tensor format. CoRR (2021)
Peter Benner, Bruno Iannazzo, Beatrice Meini, Davide Palitta
Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations. CoRR (2021)
Pawan Goyal, Peter Benner
Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. CoRR (2021)
Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner
Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format. CoRR (2021)
Pawan Goyal, Peter Benner
Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. CoRR (2021)
Peter Benner, Martin Köhler, Jens Saak
Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 - Philosophy, Features and Application for (Parametric) Model. CoRR (2020)
Igor Pontes Duff, Sara Grundel, Peter Benner
New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction. IEEE Trans. Autom. Control. 65 (6) (2020)
Peter Benner, Davide Palitta
On the Solution of the Nonsymmetric T-Riccati Equation. CoRR (2020)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. CoRR (2020)
Peter Benner, Steffen W. R. Werner
Hankel-norm approximation of large-scale descriptor systems. Adv. Comput. Math. 46 (3) (2020)
Peter Benner, Heike Faßbender, Philip Saltenberger
A rational Even-IRA algorithm for the solution of T-even polynomial eigenvalue problems. CoRR (2020)
Neeraj Sarna, Jan Giesselmann, Peter Benner
Data-Driven Snapshot Calibration via Monotonic Feature Matching. CoRR (2020)
Peter Benner, Jan Heiland
Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. CoRR (2020)
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
Structure-Preserving Interpolation of Bilinear Control Systems. CoRR (2020)
Peter Benner, Pawan Goyal, Jan Heiland, Igor Pontes Duff
Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. CoRR (2020)
Anke Stoll, Peter Benner
Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. CoRR (2020)

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Publication Activity (10 Years)

Top Topics

Top Venues

Peter Benner