An iterative method for numerical integration of rational functions

2008/08/20 by Dante Manna, Manna, Dante, Victor H. Moll +1
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0808.2748

openalex publication_date 2008/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The rational Landen transformations are used to produce a highly efficient numerical method for the integration of rational functions.

Related

• The Arithmetic-Harmonic mean and Landen transformations
• Symbolic-Numeric Integration of Rational Functions
• Gauss-type quadrature rules for rational functions
• The integrals in Gradshteyn and Ryzhik. Part9: Combinations of logarithms, rational and trigonometric functions
• RationalFunctionApproximation.jl: Rational Approximation On Discrete and Continuous Domains