| [S30] |
Reduced-Order Inference with Structure-Preserving Parametrization for Bending and Rotating Systems
Yevgeniya Filanova, Igor Pontes Duff, Pawan Goyal, and Peter Benner
Preprint arXiv: 2601.00026, [math.DS], 28 December 2025.
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| [S29] |
Computation of Structured Stability Radii for Dissipative-Hamiltonian Systems
Peter Benner, Volker Mehrmann, Anshul Prajapati, and Punit Sharma
Preprint arXiv: 2511.14935, [math.OC], 18 November 2025.
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| [S28] |
Fast Tensor-based Electrostatic Energy Calculations in the Perspective of Protein-ligand Docking Problem
Peter Benner, Boris N. Khoromskij, Venera Khoromskaia, and Matthias Stein
Preprint arXiv: 2510.26611, [math.NA], 30 October 2025.
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| [S27] |
Mixed-Precision Iterative Refinement for Low-Rank Lyapunov Equations
Peter Benner and Xiaobo Liu
Preprint arXiv: 2510.02126, [math.NA], 2 October 2025.
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| [S26] |
Time-adaptive HénonNets for Separable Hamiltonian systems
Konrad Janik and Peter Benner
Preprint arXiv: 2509.20212, [cs.LG], 24 September 2025.
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| [S25] |
Time-adaptive SympNets for Separable Hamiltonian Systems
Konrad Janik and Peter Benner
Preprint arXiv: 2509.16026, [cs.LG], 19 September 2025.
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| [S24] |
Symplectic Convolutional Neural Networks
Süleyman Yildiz, Konrad Janik, and Peter Benner
Preprint arXiv: 2508.19842, [cs.LG], 27 August 2025.
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| [S23] |
Extension of Generalized KYP lemma: from LTI Systems to LPV Systems
Jingjing Zhang, Jan Heiland, Peter Benner, and Xin Du
Preprint arXiv: 2508.08579, [math.DS], 12 August 2025.
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| [S22] |
Application of Operator Inference to Reduced-Order Modeling of Constrained Mechanical Systems
Peter Benner, Yevgeniya Filanova, Igor Pontes Duff, and Jens Saak
Preprint arXiv: 2507.05472, [math.DS], 7 July 2025.
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| [S21] |
Structured Matrices and Linear Matrix Equations
Peter Benner, Sergey Chuiko, and Mykhail Chuiko
Submitted, July 2025.
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| [S20] |
Inference of Substructured Reduced-Order Models for Dynamic Contact from Contact-free Simulations
Diana Manvelyan-Stroot, Yevgeniya Filanova, Igor Pontes Duff, Peter Benner, and Utz Wever
Preprint arXiv: 2505.18050, [math.NA], 23 May 2025.
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| [S19] |
Model Order Reduction for Linear Switched Systems on Grassmann Manifolds Using Vector Transport by Parallelization
Kangli Xu, Zhen Li, and Peter Benner
Submitted, May 2025.
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| [S18] |
Subspace-Distance-Enabled Active Learning for Efficient Data-Driven Model Reduction of Parametric Dynamical Systems
Harshit Kapadia, Peter Benner, and Lihong Feng
Preprint arXiv: 2505.00460, [math.NA], 1 May 2025.
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| [S17] |
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs
Shuwen Sun, Lihong Feng, and Peter Benner
Preprint arXiv: 2505.00473, [cs.LG], 1 May 2025.
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| [S16] |
A Mesh-Free Hybrid Chebyshev-Tucker Tensor Format with Applications to Multi-Particle Modelling
Peter Benner, Boris N. Khoromskij, Venera Khoromskaia, and Bonan Sun
Preprint arXiv: 2503.01696, [math.NA], 3 March 2025.
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| [S15] |
On Commuting Matrices and Pencils
Peter Benner and Paul Van Dooren
Submitted, January 2025.
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| [S14] |
Discrete Empirical Interpolation in the Tensor t-Product Framework
Sridhar Chellappa, Lihong Feng, and Peter Benner
Preprint arXiv: 2410.14519, [math.NA], 18 October 2024.
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| [S13] |
H∞ Adaptively Adjusted Event-Triggering Control for Synchronization of T-S Fuzzy Competitive Reaction-Diffusion Neural Networks
Xuelian Wang, Peter Benner, and Xin Du
Submitted, September 2024.
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| [S12] |
Divergence-free Neural Operators for Stress Field Modeling in Polycrystalline Materials
Mohammad S. Khorrami, Pawan Goyal, Jaber R. Mianroodi, Bob Svendsen, Peter Benner, and Dierk Raabe
Preprint arXiv: 2408.15408, [cs.CE], 27 August 2024.
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| [S11] |
Training of Artificial Neural Networks with Reduced-Order Models for the Prediction of Thermal Errors on Machine Tools
Christian Naumann, Tharun Suresh Kumar, Julia Vettermann, Alexander Geist, Jens Saak, Peter Benner, and Steffen Ihlenfeldt
Preprint Research Square: 10.21203/rs.3.rs-4744195/v1, August 2024.
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| [S10] |
GS-PINN: Greedy Sampling for Parameter Estimation in Partial Differential Equations
Ali Forootani, Harshit Kapadia, Sridhar Chellappa, Pawan Goyal, and Peter Benner
Preprint arXiv: 2405.08537v1, [math.DS], 14 May 2024.
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| [S9] |
MaRDIFlow: A CSE workflow framework for abstracting meta-data from FAIR computational experiments
Pavan Veluvali, Jan Heiland, and Peter Benner
arXiv Preprint arXiv: 2405.00028, [cs.DC], 28 February 2024.
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| [S8] |
Balanced Truncation of Descriptor Systems with a Quadratic Output
Jennifer Przybilla, Igor Pontes Duff, Pawan Goyal, and Peter Benner
arXiv Preprint arXiv: 2402.14716, [math.DS], 22 February 2024.
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| [S7] |
Numerical Methods for Closed-Loop Systems with Non-Autonomous Data
Björn Baran, Peter Benner, Jens Saak, and Tony Stillfjord
arXiv Preprint arXiv: 2402.13656, [math.NA], 21 February 2024.
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| [S6] |
Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems
Süleyman Yildiz, Pawan Goyal, and Peter Benner
arXiv Preprint arXiv: 2308.02625, [math.NA], 4 August 2023.
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| [S5] |
Adomian Decomposition Method in the Theory of Periodic Boundary Value Problems for Differential Equations with Switches
Peter Benner, Sergey Chuiko, and Mykita Popov
Submitted, June 2023.
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| [S4] |
Parametric Dynamic Mode Decomposition for Nonlinear Parametric Dynamical Systems
Shuwen Sun, Lihong Feng, Hoon Seng Chan, Tamara Miličić, Tanja Vidaković-Koch, and Peter Benner
arXiv Preprint arXiv: 2305.06197, [math.NA], 10 May 2023.
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| [S3] |
A Weighted Subspace Exponential Kernel for Support Tensor Machines
Kirandeep Kour, Sergey Dolgov, Peter Benner, Martin Stoll, and Max Pfeffer
arXiv Preprint arXiv: 2302.08134, [cs.LG], 16 February 2023.
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| [S2] |
Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem
Björn Baran, Peter Benner, and Jens Saak
arXiv Preprint arXiv: 2209.05476, [math.NA], 12 September 2022.
|
| [S1] |
Learning Reduced Order Models from Data for Hyperbolic PDEs
Neeraj Sarna and Peter Benner
arXiv Preprint arXiv: 2109.06156, [math.NA], 13 September 2021.
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