Improved convergence rates for some discrete Galerkin methods (Q1353456)
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scientific article; zbMATH DE number 1005456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improved convergence rates for some discrete Galerkin methods |
scientific article; zbMATH DE number 1005456 |
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Improved convergence rates for some discrete Galerkin methods (English)
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30 October 1997
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Making use of an argument analogous to that of \textit{S. Joe} [IMA J. Numer. Anal. 7, 149-164 (1987; Zbl 0628.65132)] for spline approximations, the estimate of the convergence rate is improved from \(O(n^{-r+1})\) to \(O(n^{-r +{1 \over 2}})\) where \(n\) is the degree of the polynomial approximation.
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Cauchy singular equations
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discrete Galerkin method
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spline approximations
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convergence
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polynomial approximation
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