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Construction of cubature formulas of degree eleven for symmetric planar regions,using orthogonal polynomials
Authors:Ann Haegemans  Robert Piessens
Affiliation:(1) Applied Mathematics and Programming Division, University of Leuven, Celestijnenlaan 200 B, B-3030 Heverlee, Belgium
Abstract:Summary A method of constructing 28-point, 26-point and 25-point cubature formulas with polynomial precision 11 is given for planar regions and weight functions, which are symmetric in each variable. The nodes are computed as common zeros of a set of linearly independent orthogonal polynomials.Aspirant of the N.F.W.O., Belgium.
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