Dispersive properties of multisymplectic integrators
type: Item
instance of: scholarly article
title: Dispersive properties of multisymplectic integrators
zbMATH Open document ID: 1142.65099
published in: Journal of Computational Physics
publication date: 2008-05-16T00:00:00Z
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 5276063
zbMATH Keywords: multisymplectic methods
zbMATH Keywords: box schemes
zbMATH Keywords: leapfrog method
zbMATH Keywords: dispersion relation
zbMATH Keywords: sine-Gordon equation
zbMATH Keywords: double-pole soliton
zbMATH Keywords: wave equation
zbMATH Keywords: numerical examples
author: Constance M. Schober
author: Tomasz H. Wlodarczyk
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.01.026
OpenAlex ID: W2092985561
cites work: The inverse scattering transform: Semi-infinite interval
cites work: Multisymplectic box schemes and the Korteweg-de Vries equation.
cites work: On symplectic and multisymplectic schemes for the KdV equation
cites work: A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities
cites work: Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry
cites work: Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
cites work: Numerical methods for Hamiltonian PDEs
cites work: Conservation of wave action under multisymplectic discretizations
cites work: Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law
cites work: Q4531870
cites work: Geometric integrators for the nonlinear Schrödinger equation
cites work: On the preservation of phase space structure under multisymplectic discretization
cites work: Multisymplectic geometry, variational integrators, and nonlinear PDEs
cites work: Backward error analysis for multi-symplectic integration methods
cites work: Q4855462
cites work: Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
cites work: On the multisymplecticity of partitioned Runge–Kutta and splitting methods
cites work: Group Velocity in Finite Difference Schemes
cites work: Q4151274
DOI: 10.1016/J.JCP.2008.01.026
description: scientific article; zbMATH DE number 5276063