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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 2024 MCQ for Mathematics of Computation is 1.78.

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Cross-product cubature error bounds
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by Frank G. Lether PDF
Math. Comp. 24 (1970), 583-592 Request permission

Abstract:

This paper is concerned with cross-product cubature rules. We use Sard’s Kernel Theorem $[10]$ to express the cross-product cubature error in terms of one variable kernels. This simplified representation of the error is then used to derive cubature error bounds analogous to those obtained by Secrest and Stroud $[13]$, for quadrature rules.
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 583-592
  • MSC: Primary 65.55
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0275673-6
  • MathSciNet review: 0275673