Submitted articles

[S25]  [new] 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.
[S24]  [new] Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction
Pawan Goyal, Igor Pontes Duff, and Peter Benner
arXiv Preprint arXiv: 2301.09484, [math.DS], 23 January 2023.
[S23]  [new] Accelerating Greedy Algorithm for Model Reduction of Complex Systems by Multi-Fidelity Error Estimation
Lihong Feng, Luigi Lombardi, Giulio Antonini, and Peter Benner
arXiv Preprint arXiv: 2301.05610, [math.NA], 13 January 2023.
[S22] Twice weekly PCR surveillance swabs are not as effective as daily antigen testing for containment of SARS-CoV-2 outbreaks: a modeling study based on real world data from a child and adolescent psychiatry clinic
Sara Grundel, Hans-Henning Flechtner, Jana Butzmann, Peter Benner, and Achim J. Kaasch
[S21] A Periodic Boundary Value Problem with Switchings under Nonlinear Perturbations
Peter Benner, Sergey Chuiko, and Alexander Zuyev
Preprint doi:10.21203/rs.3.rs-2239596/v1.
[S20] An Operator Inference Oriented Approach for Mechanical Systems
Yevgeniya Filanova, Igor Pontes Duff, Pawan Goyal, and Peter Benner
arXiv Preprint arXiv: 2210.07710, [math.DS], 14 October 2022.
[S19] 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.
[S18] Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales
Vipin Kumar, Jan Heiland, and Peter Benner
arXiv Preprint arXiv: 2209.00401, [math.OC], 1 September 2022.
[S17] An Artificial Neural Network for Surrogate Modeling of Stress Fields in Viscoplastic Polycrystalline Materials
Mohammad S. Khorrami, Jaber R. Mianroodi, Nima H. Siboni, Pawan Goyal, Bob Svendsen, Peter Benner, and Dierk Raabe
arXiv Preprint arXiv: 2208.13490, [cond-mat.mtrl-sci], 29 August 2022.
[S16] Model Reduction for Second-Order Systems with Inhomogeneous Initial Conditions
Jennifer Przybilla, Igor Pontes Duff, and Peter Benner
arXiv Preprint arXiv: 2206.06896, [math.DS], 14 June 2022.
[S15] A Unifying Framework for Tangential Interpolation of Structured Bilinear Control Systems
Peter Benner, Serkan Gugercin, and Steffen W. R. Werner
arXiv Preprint arXiv: 2206.01657, [math.NA], 3 June 2022.
[S14] Neural ODEs with Irregular and Noisy Data
Pawan Goyal and Peter Benner
arXiv Preprint arXiv: 2205.09479, [cs.LG], 19 May 2022.
[S13] A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices
Peter Benner and Yuji Nakatsukasa and Carolin Penke
arXiv Preprint arXiv: 2203.08900v1, [math.NA], 16 March 2022.
[S12] Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning
Pawan Goyal and Peter Benner
arXiv Preprint arXiv: 2111.12995, [cs.LG], 25 November 2021.
[S11] Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format
Cleophas Kweyu, Venera Khoromskaia, Boris Khoromskij, Matthias Stein, and Peter Benner
arXiv Preprint arXiv: 2109.14073, [math.NA], 28 September 2021.
[S10] Learning Reduced Order Models from Data for Hyperbolic PDEs
Neeraj Sarna and Peter Benner
arXiv Preprint arXiv: 2109.06156, [math.NA], 13 September 2021.
[S9] Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics
Sridhar Chellappa, Lihong Feng, Valentin de la Rubia, and Peter Benner
arXiv Preprint arXiv:2104.12802, [math.NA], April 2021.
[S8] LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes
Peter Benner and Pawan Goyal
arXiv Preprint arXiv:2103.02249, [cs.LG], March 2021.
[S7] Structure-Preserving Model Reduction for Dissipative Mechanical Systems
Rebekka S. Beddig, Peter Benner, Ines Dorschky, Timo Reis, Paul Schwerdtner, Matthias Voigt, and Steffen W. R. Werner
arXiv Preprint arXiv:2010.06331, [math.OC], October 2020.
[S6] Data-Driven Snapshot Calibration via Monotonic Feature Matching
Neeraj Sarna, Jan Giesselmann, and Peter Benner
arXiv Preprint arXiv:2009.08414, [math.NA], September 2020.
[S5] Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification
Peter Benner and Jan Heiland
arXiv Preprint arXiv:2009.01055, [math.DS], September 2020.
[S4] A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity
Roman Weinhandl, Peter Benner, and Thomas Richter
arXiv Preprint arXiv:2008.10275, [math.NA], August 2020.
[S3] Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction
Peter Benner, Pawan Goyal, and Igor Pontes Duff
arXiv Preprint arXiv:1910.13945v1, [math.NA], October 2019.
[S2] Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems
Peter Benner and Pawan Goyal
arXiv Preprint arXiv:1705.00160, April 2017.
[S1] Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation
Xin Du and Peter Benner
arXiv Preprint arXiv:1602.04408v1 [cs.SY], February 2016.