Local discontinuous Galerkin methods with multistep implicit-explicit time discretization for nonlinear Schrödinger equations

DOI10.1007/s10915-024-02647-6zbMath1547.65146MaRDI QIDQ6608075

Ying Li, Xinghui Zhong, Hui Shi

Publication date: 19 September 2024

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

zbMATH Keywords

Schrödinger equationerror estimatelocal discontinuous Galerkin methodmultistep methodimplicit-explicit time method

Mathematics Subject Classification ID

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) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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