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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.

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.


Numerical evaluation of a symmetric potential function
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by Lori A. Carmack PDF
Math. Comp. 67 (1998), 641-646 Request permission


We discuss the numerical evaluation of a symmetric potential function which arises naturally in applications. We present a method designed to accurately and efficiently compute this integral, and compare the performance of this method with two other popular techniques. This method requires considerably fewer function evaluations than all other techniques we tested, and is applicable to any integral which can be expressed in terms of complete elliptic integrals.
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Additional Information
  • Lori A. Carmack
  • Affiliation: Department of Mathematics, Ohio State University, Columbus, Ohio 43210
  • Address at time of publication: Department of Mathematics, Duke University, Durham, NC 27708
  • Email:
  • Received by editor(s): August 21, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 641-646
  • MSC (1991): Primary 31B99, 65D30, 76C99
  • DOI:
  • MathSciNet review: 1459384