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Numerical integration by means of adapted Euler summation formulas
Authors:W. Freeden  J. Fleck
Affiliation:(1) Institut für Reine und Angewandte Mathematik, RWTH Aachen, Templergraben 55, D-5100 Aachen, Federal Republic of Germany;(2) Rechenzentrum, RWTH Aachen, Seffenter Weg 23, D-5100 Aachen, Federal Republic of Germany
Abstract:Summary The purpose of the paper is the study of formulas and methods for numerical integration based on Euler summation formulas. Cubature formulas are developed from multidimensional generalizations. Estimates of the truncation error are given in adaptation to specific properties of the integrand.
Keywords:AMS(MOS): 65B15, 65B20, 65D30, 65D32  CR: G.1.4
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