An iterative method for numerical integration of rational functions
Dante Manna, Victor Moll
TL;DR
This paper introduces an iterative numerical method based on rational Landen transformations for efficiently integrating rational functions, improving computational performance.
Contribution
The paper presents a novel iterative approach utilizing rational Landen transformations for numerical integration of rational functions.
Findings
High accuracy in numerical integration achieved
Method outperforms traditional techniques in efficiency
Applicable to a wide class of rational functions
Abstract
The rational Landen transformations are used to produce a highly efficient numerical method for the integration of rational functions.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Polynomial and algebraic computation