Efficient finite differences for parameter-dependent singularities in two-point boundary value problems (Q5947170)
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scientific article; zbMATH DE number 1663258
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Efficient finite differences for parameter-dependent singularities in two-point boundary value problems |
scientific article; zbMATH DE number 1663258 |
Statements
Efficient finite differences for parameter-dependent singularities in two-point boundary value problems (English)
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21 October 2001
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The paper is concerned with finite difference schemes for two-point boundary value problems in turning -- or bifurcation point situations. The problem is augmented by bordering equations to regularize it, and the (regular) augmented problem is then treated by Newton-type methods and central difference approximations. The resulting linear systems are solved by blockwise LU-factorization, supported by Richardson extrapolation. Three numerical examples with second-order scalar equations illustrate the results.
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turning point
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finite difference schemes
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two-point boundary value problems
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bifurcation point
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Newton-type methods
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LU-factorization
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Richardson extrapolation
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numerical examples
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