Local energy‐ and momentum‐preserving schemes for Klein‐Gordon‐Schrödinger equations and convergence analysis

DOI10.1002/NUM.22145zbMath1377.65101OpenAlexW2587913626MaRDI QIDQ5349275

Jiaxiang Cai, Jialin Hong, Yu Shun Wang

Publication date: 24 August 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22145

zbMATH Keywords

convergencenumerical examplefinite difference methodconservation lawsoliton solutionlocal structurestructure-preserving algorithmKlein-Gordon-Schrödinger system

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51)

Related Items (4)

Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains ⋮ Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs ⋮ Optimal error estimate of a decoupled conservative local discontinuous Galerkin method for the Klein-Gordon-Schrödinger equations ⋮ Error estimates for a class of energy- and Hamiltonian-preserving local discontinuous Galerkin methods for the Klein-Gordon-Schrödinger equations

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