Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence
type: Item
instance of: scholarly article
title: Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence
zbMATH Open document ID: 0614.65111
DOI: 10.1016/0096-3003(86)90107-4
published in: Applied Mathematics and Computation
publication date: 1986-01-01T00:00:00Z
review text: A modified pseudo-arclength method is proposed for the continuation along solution branches of a parameter-dependent nonlinear equation \(G(u,\lambda)=0\), [see the author's paper in SIAM J. Numer. Anal. 23, 1007-1016 (1986; reviewed above)]. This continuation method is used in the program PLTMG for solving a general class of second order boundary value problems in divergence form depending on a parameter. Some features of the underlying multigrid method are described. Three numerical examples illustrate the robustness and efficiency of the algorithm.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65H17
Mathematics Subject Classification ID: 35P30
zbMATH DE Number: 3994979
zbMATH Keywords: symmetry-breaking bifurcation
zbMATH Keywords: singular points
zbMATH Keywords: pseudo-arclength method
zbMATH Keywords: continuation method
zbMATH Keywords: program PLTMG
zbMATH Keywords: multigrid method
zbMATH Keywords: numerical examples
zbMATH Keywords: robustness
zbMATH Keywords: efficiency
author: Hans D. Mittelmann
reviewed by: Walter Zulehner
MaRDI profile type: Publication
full work available at URL: 0096-3003(86)90107-4
OpenAlex ID: W1999675300
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description: scientific article; zbMATH DE number 3994979