An SDG Galerkin structure‐preserving scheme for the Klein‐Gordon‐Schrödinger equation

DOI10.1002/MMA.6342zbMath1454.65121OpenAlexW3013627705MaRDI QIDQ5131576

Jialing Wang, Yu Shun Wang

Publication date: 9 November 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6342

zbMATH Keywords

finite element methodstructure-preserving algorithmKlein-Gordon-Schrödinger equationsymmetric discrete gradient (SDG) method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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