On the (non)-existence of some cubature formulas: gaps between a theory and its applications

Authors:
Ronald Cools;Hans Joachim Schmid
Affiliations:
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001 Heverlee, Belgium;Math. Inst., Univ. Erlangen-Nürnberg, Bismarckstr. 1 1/2, D-91054 Erlangen, Germany
Venue:
Journal of Complexity
Year:
2003

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Abstract

An overview of the lower bounds for the number of points for integrals over the square and triangle is presented. This is compared with the number of points in known cubature formulae.