The Multisymplectic Diamond Scheme

DOI10.1137/140958359zbMath1334.37095arXiv1402.4115OpenAlexW2040121183MaRDI QIDQ5251936

Robert I. Mclachlan, Matthew C. Wilkins

Publication date: 21 May 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4115

zbMATH Keywords

finite difference methodsgeometric numerical integrationmulti-Hamiltonian PDEmultisympletic integrators

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical integration (65D30) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: energy conservation and multi-symplecticity, Meshless symplectic and multi-symplectic local RBF collocation methods for nonlinear Schrödinger equation, Parallelization, initialization, and boundary treatments for the diamond scheme, Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs, Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical, and Computational Models, Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs, Meshless symplectic and multi-symplectic local RBF collocation methods for Hamiltonian PDEs, Decoupled local/global energy-preserving schemes for the \(N\)-coupled nonlinear Schrödinger equations, Meshless symplectic and multi-symplectic algorithm for Klein-Gordon-Schrödinger system with local RBF collocation

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