Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations

DOI10.1137/090780535zbMath1231.35223OpenAlexW2009837750MaRDI QIDQ3095095

Pauline Klein, Christophe Besse, Xavier Antoine

Publication date: 28 October 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090780535

zbMATH Keywords

pseudodifferential operatorsabsorbing boundary conditionsrelaxation schemenonlinear Schrödinger equation with potentialfixed point algorithmstable semidiscrete schemes

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) Pseudodifferential operators (47G30)

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