Nonlinear embeddings for conserving Hamiltonians and other quantities with Neural Galerkin schemes

arXiv2310.07485MaRDI QIDQ6454728

Paul Schwerdtner, Benjamin Peherstorfer, Philipp Schulze, Jules Berman

Publication date: 11 October 2023

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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