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Minimal cubature formulae of trigonometric degree
Author(s):
Ronald
Cools;
Ian
H.
Sloan.
Journal:
Math. Comp.
65
(1996),
1583-1600.
MSC (1991):
Primary 41A55, 41A63;
Secondary 65D32
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Abstract:
In this paper we construct minimal cubature formulae of trigonometric degree: we obtain explicit formulae for low dimensions of arbitrary degree and for low degrees in all dimensions. A useful tool is a closed form expression for the reproducing kernels in two dimensions.
References:
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Additional Information:
Ronald
Cools
Affiliation:
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200~A, B-3001 Heverlee, Belgium
Email:
Ronald.Cools@cs.kuleuven.ac.be
Ian
H.
Sloan
Affiliation:
School of Mathematics, University of New South Wales, Sydney NSW 2033, Australia
Email:
i.sloan@unsw.edu.au
DOI:
10.1090/S0025-5718-96-00767-3
PII:
S 0025-5718(96)00767-3
Keywords:
Cubature,
trigonometric degree,
lattice rules
Received by editor(s):
September 15, 1993
Received by editor(s) in revised form:
September 22, 1994 and August 28, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article R. Cools and I.H. Sloan, Minimal cubature formulae of trigonometric degree, Mathematics of Computation (216) 65 (1996), 1583-1600. (English)
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