Numerical computation of real or complex elliptic integrals
type: Item
instance of: scholarly article
published in: Numerical Algorithms
volume: 10
issue: 1
page(s): 13-26
publication date: 1995-03-01T00:00:00Z
publication date: 1995-01-01T00:00:00Z
author: B. C. Carlson
title: Numerical computation of real or complex elliptic integrals
zbMATH Open document ID: 0827.65024
full work available at URL: https://arxiv.org/abs/math/9409227
review text: This paper improves algorithms for computing symmetric elliptic integrals of all three kinds. Its attribution is the potentiality of wide applications to complex values of the variables, though somewhat districted in the case of the integrals of the third kind. Further, this refers to numerical check values, logical consistency checks, and relations to Legendre's integrals and Bulirsch's integrals.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 784678
zbMATH Keywords: complex elliptic integrals
zbMATH Keywords: algorithms
zbMATH Keywords: symmetric elliptic integrals
zbMATH Keywords: logical consistency checks
zbMATH Keywords: Legendre's integrals
zbMATH Keywords: Bulirsch's integrals
Wikidata QID: Q55896607
reviewed by: Yasuhiro Kobayashi
describes a project that uses: algorithm 577
MaRDI profile type: Publication
arXiv ID: math/9409227
cites work: Numerical calculation of elliptic integrals and elliptic functions
cites work: Q5615009
cites work: On Computing Elliptic Integrals and Functions
cites work: Elliptic Integrals of the First Kind
cites work: Computing elliptic integrals by duplication
cites work: Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
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cites work: A table of elliptic integrals of the third kind
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cites work: A Table of Elliptic Integrals: One Quadratic Factor
cites work: A Table of Elliptic Integrals: Two Quadratic Factors
cites work: Q5289009
cites work: Q5287558
cites work: Symmetric Elliptic Integrals of the Third Kind
DOI: 10.1007/BF02198293
description: scientific article