Minimal cubature formulae of trigonometric degree
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- by Ronald Cools and Ian H. Sloan PDF
- Math. Comp. 65 (1996), 1583-1600 Request permission
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
- MR Author ID: 51325
- ORCID: 0000-0002-5567-5836
- Email: Ronald.Cools@cs.kuleuven.ac.be
- Ian H. Sloan
- Affiliation: School of Mathematics, University of New South Wales, Sydney NSW 2033, Australia
- MR Author ID: 163675
- ORCID: 0000-0003-3769-0538
- Email: i.sloan@unsw.edu.au
- Received by editor(s): September 15, 1993
- Received by editor(s) in revised form: September 22, 1994, and August 28, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Math. Comp. 65 (1996), 1583-1600
- MSC (1991): Primary 41A55, 41A63; Secondary 65D32
- DOI: https://doi.org/10.1090/S0025-5718-96-00767-3
- MathSciNet review: 1361806