Convergence acceleration of some Gaussian quadrature formulas for analytic functions (Q1195717)
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scientific article; zbMATH DE number 85918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence acceleration of some Gaussian quadrature formulas for analytic functions |
scientific article; zbMATH DE number 85918 |
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Convergence acceleration of some Gaussian quadrature formulas for analytic functions (English)
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19 January 1993
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For the Jacobi-Gauss quadrature sequence \(S_ n\) when the integrand is an analytic function with a logarithmic singularity or with a branch point on the real axis an asymptotic representation of the errors \(S-S_ n\) (\(S\)=limit of \(S_ n\)) and of \(S_{n+1}-S_ n\) is derived. This leads to building new sequences with convergence acceleration. Numerical results are given.
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error estimations
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numerical results
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Jacobi-Gauss quadrature
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analytic function
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logarithmic singularity
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convergence acceleration
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