An adaptive numerical integration algorithm with automatic result verification for definite integrals (Q1840765)
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scientific article; zbMATH DE number 1563394
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An adaptive numerical integration algorithm with automatic result verification for definite integrals |
scientific article; zbMATH DE number 1563394 |
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An adaptive numerical integration algorithm with automatic result verification for definite integrals (English)
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21 August 2001
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Verified estimation of the remainder term of a quadrature formula is derived and a verified numerical integration algorithm using an adaptive subdivision strategy is presented. Some numerical results for Gauss-Legendre quadrature are given.
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numerical integration
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verified computing
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adaptive algorithm
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quadrature formula
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adaptive subdivision
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numerical results
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Gauss-Legendre quadrature
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0.9022218
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0.88937753
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0.88284904
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0.8770152
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0.8709902
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