Structure-preserving Gauss methods for the nonlinear Schrödinger equation

DOI10.1007/s10092-021-00405-wzbMath1486.65158OpenAlexW3141190790WikidataQ114228536 ScholiaQ114228536MaRDI QIDQ2041941

Dongfang Li, Georgios D. Akrivis

Publication date: 26 July 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-021-00405-w

zbMATH Keywords

nonlinear Schrödinger equationcontinuous Galerkin methodGauss methodslinearly implicit schemesstructure-preserving methodsscalar auxiliary variable approach\(L^2\)-conservative methodsenergy-conservative methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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