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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
MathSciNet review:
1361806
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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
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