Numerical computation of real or complex elliptic integrals

DOI10.1007/bf02198293zbMath0827.65024arXivmath/9409227WikidataQ55896607 ScholiaQ55896607MaRDI QIDQ57897

B. C. Carlson, B. C. Carlson

Publication date: March 1995

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9409227

zbMATH Keywords

algorithmssymmetric elliptic integralsBulirsch's integralscomplex elliptic integralsLegendre's integralslogical consistency checks

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Elliptic functions and integrals (33E05)

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Uses Software

• algorithm 577

Cites Work

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• Computing elliptic integrals by duplication
• Numerical calculation of elliptic integrals and elliptic functions
• A table of elliptic integrals of the second kind
• A table of elliptic integrals of the third kind
• A Table of Elliptic Integrals: Cubic Cases
• Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
• A Table of Elliptic Integrals: Two Quadratic Factors
• Elliptic Integrals of the First Kind
• On Computing Elliptic Integrals and Functions
• Symmetric Elliptic Integrals of the Third Kind
• A Table of Elliptic Integrals: One Quadratic Factor