A fast numerical algorithm for the integration of rational functions

DOI10.1007/s00211-009-0284-9zbMath1190.65041OpenAlexW2064583097MaRDI QIDQ967583

Armin Straub, Dante V. Manna, Victor H. Moll, Luis A. Medina

Publication date: 30 April 2010

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

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.818.4416

zbMATH Keywords

numerical integrationnumerical examplesMathematica packageapproximation by rational functionshigh-precision computationintegration of rational functionsintegration on the real linerational Landen transformation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Other functions defined by series and integrals (33E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical approximation and evaluation of special functions (33F05)

Uses Software

• Mathematica

Cites Work

• Dynamics of the degree six Landen transformation
• Rational Landen transformations on $\mathbb{R}$
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