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Numerical evaluation of a symmetric potential function
Author(s):
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.
References:
- 1.
- M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover Publications, Inc., New York, 1965. MR 34:8606
- 2.
- B. C. Carlson, ``Numerical computation of real or complex elliptic integrals," Numer. Algorithms 10 (1995), no. 1-2, 13-26. MR 97h:33035
- 3.
- IMSL Sfun/Library Users Manual (IMSL Inc., 2500 CityWest Boulevard, Houston, TX 77042).
- 4.
- NAG Fortran Library (Numerical Algorithms Group, 256 Banbury Road, Oxford OX27DE, U. K. ), Chapter S.
- 5.
- R. Piessens, et. al., QUADPACK, Springer-Verlag Berlin, New York, 1983. MR 85b:65022
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MSC (1991):
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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:
10.1090/S0025-5718-98-00948-X
PII:
S 0025-5718(98)00948-X
Received by editor(s):
August 21, 1996
Copyright of article:
Copyright
1998,
American Mathematical Society
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