Error bounds for rational quadrature formulae of analytic functions

Authors:
Bernardo de la Calle Ysern
Affiliations:
Department of Applied Mathematics, E.T.S. Ingenieros Industriales, Universidad Politécnica de Madrid, José G. Abascal 2, 28006, Madrid, Spain
Venue:
Numerische Mathematik
Year:
2005

Citing 0
Cited 3

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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.