Numerical calculation of elliptic integrals and elliptic functions. III

DOI10.1007/BF02165405zbMath0181.17502OpenAlexW3145809777MaRDI QIDQ2534804

Roland Bulirsch

Publication date: 1969

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131921

zbMATH Keywords

numerical analysis

Related Items (16)

Addition theorems for \(\mathcal{C}^k\) real functions and applications in ordinary differential equations ⋮ Numerical computation of incomplete elliptic integrals of a general form ⋮ Precise and fast computation of a general incomplete elliptic integral of third kind by half and double argument transformations ⋮ Biot-Savart routines with minimal floating point error ⋮ Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic ⋮ Fast computation of complete elliptic integrals and Jacobian elliptic functions ⋮ Precise computation of acceleration due to uniform ring or disk ⋮ Numerical computation of inverse complete elliptic integrals of first and second kinds ⋮ Fast computation of a general complete elliptic integral of third kind by half and double argument transformations ⋮ Series expansions of symmetric elliptic integrals ⋮ Precise and fast computation of the general complete elliptic integral of the second kind ⋮ Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations ⋮ Fast computation of incomplete elliptic integral of first kind by half argument transformation ⋮ An extension of the Bartky-transformation to incomplete elliptic integrals of the third kind ⋮ JACOBI ELLIPTIC FUNCTIONS, NONLINEAR EVOLUTION EQUATIONS AND RECURSION ⋮ On the discretisation of the double layer integral operator for surfaces of revolution

Cites Work

• Handbook series Special functions. Algorithms for special functions. I
• Numerical calculation of elliptic integrals and elliptic functions.II
• Numerical calculation of elliptic integrals and elliptic functions
• An extension of the Bartky-transformation to incomplete elliptic integrals of the third kind
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