Elfun18 A collection of Matlab functions for the computation of Elliptical Integrals and Jacobian elliptic functions of real arguments

TL;DR

This paper presents a collection of MATLAB functions designed for accurate, robust, and efficient computation of elliptic integrals and Jacobian elliptic functions for real arguments, with practical application in elasticity theory.

Contribution

It introduces a comprehensive MATLAB function collection for elliptic computations, emphasizing correctness, robustness, and efficiency, with illustrative examples.

Findings

Functions are accurate and reliable for real arguments.

The collection demonstrates practical utility in elasticity theory.

The paper discusses implementation details ensuring robustness.

Abstract

In the article we outline the set of Matlab functions that enable the computation of elliptic Integrals and Jacobian elliptic functions for real arguments. Correctness, robustness, efficiency and accuracy of the functions are discussed in some details. An example from the elasticity theory illustrates use of the collection.