Effiziente Berechnung spezieller Funktionen mittels asymptotischer Entwicklungen und Eliminationsprozeduren. (An efficient calculation of special functions by asymptotic expansions and elimination procedures)

DOI10.1016/0021-9045(88)90067-6zbMath0691.41035OpenAlexW2090844162MaRDI QIDQ582517

Guido Walz

Publication date: 1988

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90067-6

zbMATH Keywords

elliptic functionsTaylor seriesNumerical examples

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Approximation by other special function classes (41A30) Elliptic functions and integrals (33E05) Exponential and trigonometric functions (33B10)

Related Items (3)

Computing the matrix exponential and other matrix functions ⋮ A contour integral representation of linear extrapolation methods ⋮ Sequences of transformations and triangular recursion schemes, with applications in numerical analysis

Cites Work

• Ausdehnung des Rombergschen Prinzips
• The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions
• Altes und Neues über numerische Quadratur
• Fast Multiple-Precision Evaluation of Elementary Functions
• Computation of π Using Arithmetic-Geometric Mean
• Survey of Extrapolation Processes in Numerical Analysis
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