Numerical evaluation of a symmetric potential function

Carmack, Lori

doi:10.1090/S0025-5718-98-00948-X

Numerical evaluation of a symmetric potential function
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by Lori A. Carmack PDF

Math. Comp. 67 (1998), 641-646 Request permission

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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