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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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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