Error bounds for rational quadrature formulae of analytic functions |
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Authors: | Bernardo de la Calle Ysern |
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Institution: | (1) Department of Applied Mathematics, E.T.S. Ingenieros Industriales, Universidad Politécnica de Madrid, José G. Abascal 2, 28006 Madrid, Spain |
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Abstract: | We study the error of rational quadrature rules when functions which are analytic on a neighborhood of the set of integration are considered. A computable upper bound of the error is presented which is valid for a broad range of rational quadrature formulae and a comparison is made with the exact error for a number of numerical examples.This work was supported by the Dirección General de Investigación (DGI), Ministerio de Ciencia y Tecnología, under grants BFM2003-06335-C03-02 and BFM2002-04315- C02-01. |
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Keywords: | 65D32 41A20 41A25 |
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