Precise and fast computation of Jacobian elliptic functions by conditional duplication
DOI10.1007/s00211-012-0498-0zbMath1262.65036OpenAlexW2086637988MaRDI QIDQ1944002
Publication date: 3 April 2013
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-012-0498-0
Jacobian elliptic functionsaccumulation of round-off errorscosine amplitude functiondelta amplitude functiondouble argument formulasine amplitude function
Computation of special functions and constants, construction of tables (65D20) Elliptic functions and integrals (33E05) Numerical approximation and evaluation of special functions (33F05)
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- Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic
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- Fast computation of incomplete elliptic integral of first kind by half argument transformation
- Evaluating elliptic functions and their inverses
- Elliptic functions and applications
- Numerical calculation of elliptic integrals and elliptic functions
- Precise and fast computation of a general incomplete elliptic integral of third kind by half and double argument transformations
- Precise and fast computation of the general complete elliptic integral of the second kind
- Transformations of the Jacobian Amplitude Function and Its Calculation via the Arithmetic-Geometric Mean
- Computation of elliptic functions
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