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A sinc quadrature rule for Hadamard finite-part integrals - MaRDI portal

A sinc quadrature rule for Hadamard finite-part integrals (Q1123532)

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scientific article; zbMATH DE number 4109932
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A sinc quadrature rule for Hadamard finite-part integrals
scientific article; zbMATH DE number 4109932

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    A sinc quadrature rule for Hadamard finite-part integrals (English)
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    1990
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    A sinc quadrature rule is presented for the evaluation of Hadamard finite-part integrals of analytic functions. Integration over a general arc in the complex plane is considered. Special treatment is given to integrals over the interval (-1,1). Theoretical error estimates are derived and numerical examples are included.
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    Cauchy principal value integrals
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    Gauss quadratures
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    sinc quadrature rule
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    Hadamard finite-part integrals
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    analytic functions
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    error estimates
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    numerical examples
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