Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence (Q1819909)
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scientific article; zbMATH DE number 3994979
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence |
scientific article; zbMATH DE number 3994979 |
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Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence (English)
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1986
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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.
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symmetry-breaking bifurcation
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singular points
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pseudo-arclength method
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continuation method
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program PLTMG
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multigrid method
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numerical examples
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robustness
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efficiency
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