Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation
type: Item
instance of: scholarly article
title: Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation
zbMATH Open document ID: 1162.65372
author: Georg Kitzhofer
author: Othmar Koch
author: E. B. Weinmüller
published in: BIT
publication date: 2009-04-29T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 34B16
zbMATH DE Number: 5549598
zbMATH Keywords: numerical examples
zbMATH Keywords: parameter-dependent boundary value problems
zbMATH Keywords: solution branches
zbMATH Keywords: essential singularity
zbMATH Keywords: semi-infinite interval
zbMATH Keywords: collocation
zbMATH Keywords: Ginzburg-Landau equation
zbMATH Keywords: nonlinear Schrödinger equation
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s10543-008-0208-6
OpenAlex ID: W2125291382
cites work: The world of the complex Ginzburg-Landau equation
cites work: Efficient collocation schemes for singular boundary value problems
cites work: Large-Scale Scientific Computing
cites work: New a posteriori error estimates for singular boundary value problems
cites work: Efficient mesh selection for collocation methods applied to singular BVPs
cites work: Asymptotics of multibump blow-up self-similar solutions of the nonlinear Schrödinger equation
cites work: New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations
cites work: Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg--Landau Equation
cites work: Computation of self-similar solution profiles for the nonlinear Schrödinger equation
cites work: From nonlinear PDEs to singular ODEs
cites work: Difference Methods for Boundary Value Problems with a Singularity of the First Kind
cites work: The Numerical Solution of Boundary Value Problems with an Essential Singularity
cites work: On the Boundary Value Problem for Systems of Ordinary Differential Equations with a Singularity of the Second Kind
cites work: An investigation of the complete post-buckling behavior of axisymmetric spherical shells
cites work: Approximation Methods for Nonlinear Problems with Application to Two-Point Boundary Value Problems
cites work: Efficient numerical solution of the density profile equation in hydrodynamics
cites work: Numerical Treatment of Singular BVPs: The New MATLAB Code bvpsuite
cites work: On self-similar singular solutions of the complex Ginzburg-Landau equation
cites work: Pathfollowing Algorithm for Singular Boundary Value Problems
cites work: Q3757315
DOI: 10.1007/S10543-008-0208-6
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description: scientific article; zbMATH DE number 5549598