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Four ways to compute the inverse of the complete elliptic integral of the first kind

2015
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Computer Physics Communications
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The complete elliptic integral of the first kind arises in many applications. This article furnishes four different ways to compute the inverse of the elliptic integral. One motive for this study is simply that the author needed to compute the inverse integral for an application. Another is to develop a case study comparing different options for solving transcendental equations like those in the author's book [11] . A third is to develop analytical approximations, more useful to theorists than

doi:10.1016/j.cpc.2015.05.006
fatcat:wfymdn76zzf3nm7wq255yrepne