An adaptive numerical integration algorithm with automatic result verification for definite integrals (Q1840765)

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scientific article; zbMATH DE number 1563394
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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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