Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder

Author:

Buchfink Patrick1,Glas Silke2ORCID,Haasdonk Bernard1

Affiliation:

1. Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany.

2. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Learning of discrete models of variational PDEs from data;Chaos: An Interdisciplinary Journal of Nonlinear Science;2024-01-01

2. Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds;Computer Methods in Applied Mechanics and Engineering;2023-12

3. Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves;Lecture Notes in Computer Science;2023

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