Computation of self-similar solution profiles for the nonlinear Schrödinger equation

DOI10.1007/s00607-005-0157-8zbMath1122.65066OpenAlexW2093108815MaRDI QIDQ2642940

Othmar Koch, Ewa B. Weinmüller, Chris J. Budd

Publication date: 6 September 2007

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-005-0157-8

zbMATH Keywords

numerical examplesself-similarityerror estimationnonlinear Schrödinger equationcollocation methodsblow-up solutionsessential singularity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

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Uses Software

• Matlab

Cites Work

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• Collocation Software for Boundary-Value ODEs
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• Large-Scale Scientific Computing
• Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems