Submitted articles

[S32]  [new] Exponential Synchronization of BAM Neural Networks with Delay on Arbitrary Time Domains
Peter Benner, Jan Heiland, and Vipin Kumar
Submitted, May 2024.
[S31]  [new] Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems Unsolved with Respect to the Derivative
Peter Benner, Sergey M. Chuiko, and Olga V. Nesmelova
Submitted, April 2024.
[S30]  [new] Digital Twins in Process Engineering: An Overview on Computational and Numerical Methods
Luisa Peterson, Ion Victor Gosea, Peter Benner, and Kai Sundmacher
Preprint 10.2139/ssrn.4747265, 12 February 2024.
[S29]  [new] Learning Reduced-Order Models for Dynamic CO2 Methanation Using Operator Inference
Luisa Peterson, Pawan Goyal, Ion Victor Gosea, Jens Bremer, Peter Benner, and Kai Sundmacher
Submitted, March 2024.
[S28]  [new] Stability and Decay-Rate Estimates for a Nonlinear Dispersed Flow Reactor Model with Boundary Control
Yevgeniia Yevgenieva, Alexander Zuyev, and Peter Benner
Submitted, 22 March 2024.
[S27]  [new] Estimates of the Kolmogorov n-Width for Nonlinear Transformations with Application to Distributed-Parameter Control Systems
Alexander Zuyev, Lihong Feng, and Peter Benner
arXiv Preprint arXiv: 2403.06029, [math.OC], 9 March 2024.
[S26]  [new] 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.
[S25]  [new] Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator Inference
Ion Victor Gosea, Luisa Peterson, Pawan Goyal, Jens Bremer, Kai Sundmacher, and Peter Benner
arXiv Preprint arXiv: 2402.17698, [math.NA], 27 February 2024.
[S24]  [new] 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.
[S23]  [new] 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.
[S22]  [new] Roadmap on Data-Centric Materials Science
Stefan Bauer, Peter Benner, Tristan Bereau, et al.
arXiv Preprint arXiv: 2402.10932, [cond-mat.mtrl-sci], 14 February 2024.
[S21]  [new] Stability-Certified Learning of Control Systems with Quadratic Nonlinearities
Igor Pontes Duff, Pawan Goyal, and Peter Benner
arXiv Preprint arXiv: 2403.00646, [cs.LG], 1 March 2024.
[S20]  [new] 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.
[S19] 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.
[S18] Interpolatory H2-optimality Conditions for Structured Linear Time-invariant Systems
Petar Mlinarić, Peter Benner, and Serkan Gugercin
arXiv Preprint arXiv: 2310.10618, [math.DS], 16 October 2023.
[S17] A Robust SINDy Approach by Combining Neural Networks and an Integral Form
Ali Forootani, Pawan Goyal, and Peter Benner
arXiv Preprint arXiv: 2309.07193, [math.DS], 13 September 2023.
[S16] Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics
Pawan Goyal, Süleyman Yildiz, and Peter Benner
arXiv Preprint arXiv: 2308.13835, [cs.LG], 26 August 2023.
[S15] 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.
[S14] 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.
[S13] 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.
[S12] 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.
[S11] 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.
[S10] 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.
[S9] 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.
[S8] 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.
[S7] 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.
[S6] 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.
[S5] Learning Reduced Order Models from Data for Hyperbolic PDEs
Neeraj Sarna and Peter Benner
arXiv Preprint arXiv: 2109.06156, [math.NA], 13 September 2021.
[S4] LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes
Peter Benner and Pawan Goyal
arXiv Preprint arXiv:2103.02249, [cs.LG], March 2021.
[S3] 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.
[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.