MultiSymplectic Discretization of Wave Map Equations

DOI10.1137/15M1014322zbMath1382.65237arXiv1411.6516MaRDI QIDQ2800429

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Publication date: 15 April 2016

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

Full work available at URL: https://arxiv.org/abs/1411.6516

zbMATH Keywords

numerical discretizationmultisymplectic schemesEuler box schemewave map equationsconstrained Hamiltonian partial differential equationsmultisymplectic partial differential equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (2)

Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations ⋮ A posteriori error estimates for wave maps into spheres

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