Full collocation methods for some boundary integral equations (Q1971115)
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scientific article; zbMATH DE number 1421573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Full collocation methods for some boundary integral equations |
scientific article; zbMATH DE number 1421573 |
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Full collocation methods for some boundary integral equations (English)
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7 September 2000
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The authors propose a fully discretized version of the collocation method applied to linear integral equations of the first kind with logarithmic kernel. Stability and convergence of the discretized scheme is studied and the existence of an asymptotic expansion of the error is proved. This justifies the use of the Richardson extrapolation. Numerical experiments are also given.
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full discretization
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asymptotic error expansion
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stability
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numerical experiments
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collocation method
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linear integral equations of the first kind
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logarithmic kernel
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convergence
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Richardson extrapolation
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