Two adaptive Gauss-Legendre type algorithms for the verified computation of definite integrals (Q1921293)
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scientific article; zbMATH DE number 915296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two adaptive Gauss-Legendre type algorithms for the verified computation of definite integrals |
scientific article; zbMATH DE number 915296 |
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Two adaptive Gauss-Legendre type algorithms for the verified computation of definite integrals (English)
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11 August 1996
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The authors propose two numerical methods with result verification for sharp enclosures of definite integrals. The methods are based on Gauss-Legendre quadrature formulae and use automatic differentiation and interval computer arithmetic for the bounding of the error term.
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result verification
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sharp enclosures
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definite integrals
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Gauss-Legendre quadrature formulae
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automatic differentiation
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interval computer arithmetic
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0.9022218
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0.8602177
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0.8602177
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0.8543637
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0.85091555
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0.84796697
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