Dispersive properties of multisymplectic integrators

DOI10.1016/j.jcp.2008.01.026zbMath1142.65099OpenAlexW2092985561MaRDI QIDQ924504

Constance M. Schober, Tomasz H. Wlodarczyk

Publication date: 16 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.01.026

zbMATH Keywords

wave equationnumerical examplesdispersion relationsine-Gordon equationleapfrog methodmultisymplectic methodsbox schemesdouble-pole soliton

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

Dispersion, group velocity, and multisymplectic discretizations, Symplectic and multisymplectic numerical methods for Maxwell's equations, Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations, Dispersion analysis of multi-symplectic scheme for the nonlinear Schrödinger equations, Splitting multisymplectic integrators for Maxwell's equations, Symplectic wavelet collocation method for Hamiltonian wave equations, A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach, Multisymplectic box schemes for the complex modified Korteweg–de Vries equation, Energy preserving integration of bi-Hamiltonian partial differential equations, Numerical study of the generalised Klein-Gordon equations

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