LeXInt: Package for Exponential Integrators employing Leja interpolation

TL;DR

LeXInt is a Python package that implements exponential integrators using Leja point interpolation, offering an efficient alternative to Krylov methods for computing matrix functions in time integration.

Contribution

This work introduces LeXInt, a software package that employs Leja interpolation for exponential integrators, enhancing flexibility and performance compared to traditional methods.

Findings

Leja interpolation is competitive with Krylov methods for computing matrix functions.

LeXInt simplifies integration into Python software for time-dependent problems.

The package improves efficiency and adaptability of exponential integrators.

Abstract

We present a publicly available software for exponential integrators that computes the $\varphi_l(z)$ functions using polynomial interpolation. The interpolation method at Leja points have recently been shown to be competitive with the traditionally-used Krylov subspace method. The developed framework facilitates easy adaptation into any Python software package for time integration.