Work

LeXInt: GPU-accelerated exponential integrators package

Year: 2024

Type: software-paper

Abstract: We present an open-source CUDA -based package, for the temporal integration of differential equations, that consists of a compilation of exponential integrators where the action of the matrix exponential or the φ l functions on a vector is approximated using the method of polynomial interpolation at Leja points. Using a couple of test examples on an NVIDIA A100 GPU, we show that one can achieve significant speedups using CUDA over the corresponding CPU code. LeXInt , written in a modular format, facilitates integration into existing software packages (written in C++ or CUDA ), for temporal integration of differential equations.

Source: SoftwareX

DOI: 10.1016/j.softx.2024.101949

Authors: Pranab J. Deka, Alexander Moriggl, Lukas Einkemmer

Institution: Universität Innsbruck

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $970

Funders: European Commission, Austrian Science Fund, Horizon 2020 Framework Programme, H2020 Marie Skłodowska-Curie Actions