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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Obtaining cubatures for rectangles and other planar regions by using orthogonal polynomials
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by Richard Franke PDF
Math. Comp. 25 (1971), 803-817 Request permission

Abstract:

A. H. Stroud has recently shown the existence of cubature formulas for planar regions which use ${m^2}$ points and have polynomial precision $2m - 1$. In this paper, the author gives sufficient conditions for the existence of formulaa using fewer than ${m^2}$ points, and having polynomial precision $2m - 1$. An algorithm is given for computing such formulas, and is shown to be useful in a more general setting than given in the theorem. Numerical examples are given, both in terms of previously known and new cubature formulas.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 803-817
  • MSC: Primary 65D30
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0300440-5
  • MathSciNet review: 0300440