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Numerical inversion of a general incomplete elliptic integral

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Publication:455823
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DOI10.1016/j.cam.2012.07.002zbMath1252.65052OpenAlexW2003716108MaRDI QIDQ455823

Toshio Fukushima

Publication date: 22 October 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.07.002


zbMATH Keywords

Jacobian elliptic functionNewton's methodHalley's methodSchröder's methodgeneral incomplete elliptic integralhalf argument formula


Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)


Related Items

Precise and fast computation of Fermi-Dirac integral of integer and half integer order by piecewise minimax rational approximation ⋮ The Schwarzian-Newton method for solving nonlinear equations, with applications ⋮ Recursive computation of derivatives of elliptic functions and of incomplete elliptic integrals ⋮ Fast computation of a general complete elliptic integral of third kind by half and double argument transformations ⋮ Four ways to compute the inverse of the complete elliptic integral of the first kind


Uses Software

  • DLMF



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