Symplectic integration of PDEs using Clebsch variables

DOI10.3934/jcd.2019005zbMath1435.37102arXiv1810.01627OpenAlexW3104335365MaRDI QIDQ2323356

Benjamin K. Tapley, Christian Offen, Robert I. Mclachlan

Publication date: 30 August 2019

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

Full work available at URL: https://arxiv.org/abs/1810.01627

zbMATH Keywords

Burgers equationsymplectic integrationEuler's equationLie-Poisson system

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Momentum maps; symplectic reduction (53D20) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Euler equations (35Q31)

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