High-order quadrature rules based on spline quasi-interpolants and application to integral equations (Q413614)

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scientific article; zbMATH DE number 6031266
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High-order quadrature rules based on spline quasi-interpolants and application to integral equations
scientific article; zbMATH DE number 6031266

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    High-order quadrature rules based on spline quasi-interpolants and application to integral equations (English)
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    7 May 2012
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    The aim of this article is to give quadrature rules with endpoint corrections based on spline quasi-interpolants. The authors make a comparison between rules of the same order. In section 4, they give an application of quadrature rules to Fredholm integral equations. This comparison shows that the proposed quadrature rules are more efficient in solving Fredholm integral equations of second type.
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    quadrature rule
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    spline quasi-interpolant
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    Gregory rule
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    Fredholm integral equation
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    endpoint correction
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