Dispersion, group velocity, and multisymplectic discretizations

DOI10.1016/j.matcom.2009.08.015zbMath1185.65226OpenAlexW2045034785MaRDI QIDQ2655822

Tomasz H. Wlodarczyk, Constance M. Schober

Publication date: 26 January 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.08.015

zbMATH Keywords

wave equationdispersion relationgroup velocitynumerical dispersion relationsine Gordon equationmultisymplectic PDEsBox schemesLeap-frog method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Dispersion theory, dispersion relations arising in quantum theory (81U30)

Related Items

Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. I: Periodic boundary conditions ⋮ The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs

Cites Work

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