LeXInt: GPU-accelerated Exponential Integrators package
Department of Mathematics, University of Innsbruck, Innsbruck, 6020, Austria
arXiv:2310.08344 [math.NA], (12 Oct 2023)
@misc{deka2023lexint,
title={LeXInt: GPU-accelerated Exponential Integrators package},
author={Pranab J. Deka and Alexander Moriggl and Lukas Einkemmer},
year={2023},
eprint={2310.08344},
archivePrefix={arXiv},
primaryClass={math.NA}
}
We present an open-source CUDA-based package that consists of a compilation of exponential integrators where the action of the matrix exponential or the φl 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 easy integration into any existing software package, and can be used for temporal integration of any differential equation.
October 22, 2023 by hgpu
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