Linearized decoupled mass and energy conservation CN Galerkin FEM for the coupled nonlinear Schrödinger system

DOI10.1007/s10915-024-02632-zzbMath1544.65174MaRDI QIDQ6601125

Dong-Yang Shi, Zhenqi Qi

Publication date: 10 September 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

coupled nonlinear Schrödinger systemmass and energy conservationinterpolation and Ritz projection combination techniqueunconditional superclose and superconvergent analyses

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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