Submitted articles

[S32]	A CFL-type Condition and Theoretical Insights for Discrete-Time Sparse Full-Order Model Inference Leonidas Gkimisis, Süleyman Yildiz, Peter Benner, and Thomas Richter Preprint arXiv: 2505.01244, [math.DS], 2 May 2025.
[S31]	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.
[S30]	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.
[S29]	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.
[S28]	On the Representation of Energy-Preserving Quadratic Operators with Application to Operator Inference Leonidas Gkimisis, Igor Pontes Duff, Pawan Goyal, and Peter Benner Preprint arXiv: 2503.10824, [math.NA], 13 March 2025.
[S27]	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.
[S26]	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.
[S25]	SIGGRAPH: G: Improved Projective Dynamics Global Using Snapshots-based Reduced Bases Shaimaa Monem, Peter Benner, and Christian Lessig Preprint arXiv: 2502.07757, [math.DS], 11 February 2025.
[S24]	On Commuting Matrices and Pencils Peter Benner and Paul Van Dooren Submitted, January 2025.
[S23]	Non-Intrusive Reduced-Order Modeling for Dynamical Systems with Spatially Localized Features Leonidas Gkimisis, Nicole Aretz, Marco Tezzele, Thomas Richter, Peter Benner, and Karen E. Willcox Preprint arXiv: 2501.04400, [math.DS], 8 January 2025.
[S22]	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.
[S21]	Data-Augmented Predictive Deep Neural Network: Enhancing the Extrapolation Capabilities of Non-Intrusive Surrogate Models Shuwen Sun, Lihong Feng, and Peter Benner Preprint arXiv: 2410.13376, [cs.LG], 17 October 2024.
[S20]	Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction Celine Reddig, Pawan Goyal, Igor Pontes Duff, and Peter Benner Preprint arXiv: 2409.03892, [stat.ML], 5 September 2024.
[S19]	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.
[S18]	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.
[S17]	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.
[S16]	GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations Ali Forootani and Peter Benner Preprint arXiv: 2405.08613v1, [math.DS], 14 May 2024.
[S15]	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.
[S14]	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.
[S13]	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.
[S12]	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.
[S11]	Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems Petar Mlinarić, Peter Benner, and Serkan Gugercin arXiv Preprint arXiv: 2401.10047, [math.OC], 18 January 2024.
[S10]	Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs Alexander Zuyev and Peter Benner arXiv Preprint arXiv: 2401.00310, [math.OC], 30 December 2023.
[S9]	Guaranteed Stable Quadratic Models and their Applications in SINDy and Operator Inference Pawan Goyal, Igor Pontes Duff, and Peter Benner arXiv Preprint arXiv: 2308.13819, [cs.LG], 26 August 2023.
[S8]	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.
[S7]	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.
[S6]	Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems Jingjing Zhang, Jan Heiland, Peter Benner, and Xin Du arXiv Preprint arXiv: 2306.01120, [eess.SY], 1 June 2023.
[S5]	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.
[S4]	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.
[S3]	Inference of Continuous Linear Systems from Data with Guaranteed Stability Pawan Goyal, Igor Pontes Duff, and Peter Benner arXiv Preprint arXiv: 2301.10060, [cs.LG], 24 January 2023.
[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.