Numerical Algorithms

, Volume 10, Issue 1, pp 13–26

Numerical computation of real or complex elliptic integrals

  • B. C. Carlson

DOI: 10.1007/BF02198293

Cite this article as:
Carlson, B.C. Numer Algor (1995) 10: 13. doi:10.1007/BF02198293


Algorithms for numerical computation of symmetric elliptic integrals of all three kinds are improved in several ways and extended to complex values of the variables (with some restrictions in the case of the integral of the third kind). Numerical check values, consistency checks, and relations to Legendre's integrals and Bulirsch's integrals are included.


Elliptic integralalgorithmnumerical computation

AMS subject classification

primary 33A25, 33-04, 65D20secondary 33A10, 30-04, 32-04

Copyright information

© J.C. Baltzer AG, Science Publishers 1995

Authors and Affiliations

  • B. C. Carlson
    • 1
  1. 1.Ames Laboratory and Department of MathematicsIowa State UniversityAmesUSA