Exact conservation laws for neural network integrators of dynamical systems

DOI10.1016/J.JCP.2023.112234arXiv2209.11661OpenAlexW4377091405MaRDI QIDQ6105087

Eike H. Müller

Publication date: 16 June 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.11661

zbMATH Keywords

dynamical systemmachine learningNoether's theoremLagrangian mechanics

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Numerical methods for ordinary differential equations (65Lxx) General theory for ordinary differential equations (34Axx)

Cites Work

• Machine learning strategies for systems with invariance properties
• Structure-preserving neural networks
• Solving Ordinary Differential Equations I
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