Continuation-minimization methods for stability problems (Q2365555)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuation-minimization methods for stability problems |
scientific article |
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Continuation-minimization methods for stability problems (English)
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29 June 1993
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The authors study the solution branches of stable and unstable bifurcations in two-dimensional semilinear elliptic eigenvalue problems of the form \(\Delta u + \lambda f(u)=0\) in \([0,1]^ 2\) with homogeneous Dirichlet boundary conditions. The solution branches of the discretized problem are traced numerically by a continuation method with a secant predictor and a GMRES corrector with line search. Numerical results with computer graphic output are reported.
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large sparse continuation problems
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numerical results
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solution branches
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unstable bifurcations
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two-dimensional semilinear elliptic eigenvalue problems
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continuation method
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