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A sinc quadrature rule for Hadamard finite-part integrals

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Summary

A Sinc quadrature rule is presented for the evaluation of Hadamard finite-part integrals of analytic functions. Integration over a general are 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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Bialecki, B. A sinc quadrature rule for Hadamard finite-part integrals. Numer. Math. 57, 263–269 (1990). https://doi.org/10.1007/BF01386410

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  • DOI: https://doi.org/10.1007/BF01386410

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