LeXInt: GPU-accelerated Exponential Integrators package

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 \(\varphi_l\) functions on a vector is approximated using the method of polynomial interpolation at Leja points. Using a couple of test examples on...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Deka, Pranab J, Moriggl, Alexander, Einkemmer, Lukas
Format: Article
Language:English
Subjects:
Differential equations
Integrators
Interpolation
Mathematical analysis
Polynomials
Online Access:Get full text
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Summary: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 \(\varphi_l\) 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 easy integration into any existing software package, and can be used for temporal integration of any differential equation.
ISSN:2331-8422