Numerische Mathematik

, Volume 25, Issue 1, pp 99–101 | Cite as

An improved calculation of the general elliptic integral of the second kind in the neighbourhood ofx=0



A special method of calculation of el2 (x, kc,a, b) is proposed in a case when the algorithm based on the Landen transformation fails to give accurate results.


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  1. 1.
    Bulirsch, R.: Numerical Calculation of Elliptic Integrals and Elliptic Functions, Num. Math.7, 78–90 (1965)Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • P. Midy
    • 1
  1. 1.Centre de Calcul Paris Sud InformatiqueUniversité Paris XI-Centre d'OrsayOrsayFrance

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