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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Numerical evaluation of a
symmetric potential function


Author: Lori A. Carmack
Journal: Math. Comp. 67 (1998), 641-646
MSC (1991): Primary 31B99, 65D30, 76C99
MathSciNet review: 1459384
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Abstract: 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: carmack@math.duke.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-98-00948-X
PII: S 0025-5718(98)00948-X
Received by editor(s): August 21, 1996
Article copyright: © Copyright 1998 American Mathematical Society