LeXInt: GPU-accelerated exponential integrators package

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.

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Publication Details

Journal
SoftwareX
Published
2024-11-21
DOI
https://doi.org/10.1016/j.softx.2024.101949
Citations
1
Primary Topic
Numerical methods for differential equations
Type
article
Field-Weighted Citation Impact
0.73

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article

LeXInt: GPU-accelerated exponential integrators package

Pranab J. Deka, Alexander Moriggl, Lukas Einkemmer
1 citations
SoftwareX
Numerical methods for differential equations
0.73
article

LeXInt: GPU-accelerated exponential integrators package

Pranab J. Deka, Alexander Moriggl, Lukas Einkemmer
article en
1 citations

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.

SoftwareXVol. 29
Universität Innsbruck (AT)
European Commission, Austrian Science Fund, Horizon 2020 Framework Programme, H2020 Marie Skłodowska-Curie Actions
Affordable and clean energy
Openalex Percentile: Top 28%
Numerical methods for differential equations
0.73
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