Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions

DOI10.1016/S0893-9659(02)00077-0zbMath1009.37051MaRDI QIDQ1861840

Jialin Hong, Meng-Zhao Qin

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

numerical schemeHamiltonian PDEsmultisymplecticitycentred box scheme

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

A survey on symplectic and multi-symplectic algorithms, Spectral-like resolution compact ADI finite difference method for the multi-dimensional Schrödinger equations, Symplectic schemes for linear stochastic Schrödinger equations with variable coefficients, A novel numerical approach to simulating nonlinear Schrödinger equations with varying coeffi\-cients, Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves, Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients, A variational approach to \((m + 1)\)-dimensional \(n\)-order field

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