Submitted articles

[S24]  [new] Semi-Active Damping Optimization of Vibrational Systems using the Reduced Basis Method
Jennifer Przybilla, Igor Pontes Duff, and Peter Benner
arXiv Preprint arXiv: 2305.12946, [math.DS], 22 May 2023.
[S23]  [new] 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.
[S22]  [new] Structured Interpolation for Multivariate Transfer Functions of Quadratic-Bilinear Systems
Peter Benner, Serkan Gugercin, and Steffen W. R. Werner
arXiv Preprint arXiv: 2304.14292, [math.NA], 27 April 2023.
[S21] Rank-Minimizing and Structured Model Inference
Pawan Goyal, Benjamin Peherstorfer, and Peter Benner
arXiv Preprint arXiv: 2302.09521, [stat.ML], 19 February 2023.
[S20] Adjacency-based, Non-Intrusive Model Reduction for Vortex-Induced Vibrations
Leonidas Gkimisis, Thomas Richter, Peter Benner
arXiv Preprint arXiv: 2302.09981, [physics.flu-dyn], 20 February 2023.
[S19] 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.
[S18] 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.
[S17] 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.
[S16] Multi-fidelity Error Estimation accelerates Greedy Model Reduction of Complex Dynamical Systems
Lihong Feng, Luigi Lombardi, Giulio Antonini, and Peter Benner
arXiv Preprint arXiv: 2301.05610, [math.NA], 13 January 2023.
[S15] 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.
[S14] 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.
[S13] 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.
[S12] 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.
[S11] Neural ODEs with Irregular and Noisy Data
Pawan Goyal and Peter Benner
arXiv Preprint arXiv: 2205.09479, [cs.LG], 19 May 2022.
[S10] 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.
[S9] 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.
[S8] Learning Reduced Order Models from Data for Hyperbolic PDEs
Neeraj Sarna and Peter Benner
arXiv Preprint arXiv: 2109.06156, [math.NA], 13 September 2021.
[S7] LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes
Peter Benner and Pawan Goyal
arXiv Preprint arXiv:2103.02249, [cs.LG], March 2021.
[S6] 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.
[S5] Data-Driven Snapshot Calibration via Monotonic Feature Matching
Neeraj Sarna, Jan Giesselmann, and Peter Benner
arXiv Preprint arXiv:2009.08414, [math.NA], 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.