Numerical evaluation of a symmetric potential function
HTML articles powered by AMS MathViewer
- 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.References
- Milton Abramowitz and Irene A. Stegun (eds.), Handbook of mathematical functions, with formulas, graphs, and mathematical tables, Dover Publications, Inc., New York, 1966. MR 0208797
- B. C. Carlson, Numerical computation of real or complex elliptic integrals, Numer. Algorithms 10 (1995), no. 1-2, 13–26. Special functions (Torino, 1993). MR 1345407, DOI 10.1007/BF02198293
- IMSL Sfun/Library Users Manual (IMSL Inc., 2500 CityWest Boulevard, Houston, TX 77042).
- NAG Fortran Library (Numerical Algorithms Group, 256 Banbury Road, Oxford OX27DE, U. K. ), Chapter S.
- Robert Piessens, Elise de Doncker-Kapenga, Christoph W. Überhuber, and David K. Kahaner, QUADPACK, Springer Series in Computational Mathematics, vol. 1, Springer-Verlag, Berlin, 1983. A subroutine package for automatic integration. MR 712135, DOI 10.1007/978-3-642-61786-7
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
- 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: https://doi.org/10.1090/S0025-5718-98-00948-X
- MathSciNet review: 1459384