Submitted articles

[S23]  [new] A Reduced Order Modelling Approach for Full-Maxwell Lightning Strike Analyses in Layered Backgrounds
Riccardo Torchio, Francesco Lucchini, Mattia Filippini, Daniele Romano, Lihong Feng, Peter Benner, and Giulio Antonini
Submitted, 11 July 11 2022.
[S22]  [new] 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.
[S21]  [new] 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.
[S20]  [new] Matrix-free Transfer Function Prediction using Model Reduction and Machine Learning
Giulio Antonini, Peter Benner, Lihong Feng, and Daniele Romano
Submitted, 24 May 2022.
[S19]  [new] Neural ODEs with Irregular and Noisy Data
Pawan Goyal and Peter Benner
arXiv Preprint arXiv: 2205.09479, [cs.LG], 19 May 2022.
[S18] Krylov Techniques for Low-Rank ADI
Peter Benner, Davide Palitta, and Jens Saak
arXiv Preprint arXiv: 2203.17174, [math.NA], 31 March 2022.
[S17] 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.
[S16] The Hamiltonian Extended Krylov Subspace Method
Peter Benner, Heike Fa├čbender, and Michel-Niklas Senn
arXiv Preprint arXiv: 2202.12640, [math.NA], 25 February 2022.
[S15] Multivariate Moment-Matching for Model Order Reduction of Quadratic-Bilinear Systems using Error Bounds
Mian Ilyas Ahmad, Peter Benner, Lihong Feng, Muhammad Altaf Khattak
arXiv Preprint arXiv: 2105.12966, [math.OC], 27 May 2021.
[S14] 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.
[S13] 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.
[S12] Learning Reduced Order Models from Data for Hyperbolic PDEs
Neeraj Sarna and Peter Benner
arXiv Preprint arXiv: 2109.06156, [math.NA], 13 September 2021.
[S11] Next-Gen Gas Network Simulation
Christian Himpe, Sara Grundel, and Peter Benner
arXiv Preprint arXiv: 2108.02651, [math.OC], 5 August 2021.
[S10] 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.
[S9] LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes
Peter Benner and Pawan Goyal
arXiv Preprint arXiv:2103.02249, [cs.LG], March 2021.
[S8] 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.
[S7] Data-Driven Snapshot Calibration via Monotonic Feature Matching
Neeraj Sarna, Jan Giesselmann, and Peter Benner
arXiv Preprint arXiv:2009.08414, [math.NA], September 2020.
[S6] 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.
[S5] 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.
[S4] Efficient Structure-preserving Support Tensor Train Machine
Kirandeep Kour, Sergey Dolgov, Martin Stoll, and Peter Benner
arXiv Preprint arXiv:2002.05079v1, [cs.LG], February 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.