A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation

DOI10.1016/S0096-3003(01)00282-XzbMath1023.65094OpenAlexW2018730388WikidataQ60155402 ScholiaQ60155402MaRDI QIDQ1855930

Yanyan Li

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00282-x

zbMATH Keywords

stabilityconvergencenumerical exampleblow-upmultigrid methodfinite difference schemesnonlinear Schrödinger equationsfocusing singularitycollapse processes

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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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