LeXInt: GPU-accelerated exponential integrators package

IF 2.4 4区计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING

SoftwareX Pub Date : 2024-11-21 DOI:10.1016/j.softx.2024.101949

Pranab J. Deka , Alexander Moriggl, Lukas Einkemmer

引用次数: 0

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.

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LeXInt：GPU 加速指数积分器软件包

我们介绍了一个基于 CUDA 的开源软件包，用于微分方程的时间积分，该软件包由指数积分器汇编而成，其中矩阵指数函数或 φl 函数对矢量的作用是通过 Leja 点的多项式插值方法逼近的。通过在英伟达™（NVIDIA®）A100 GPU 上的几个测试示例，我们发现使用 CUDA 可以显著提高 CPU 代码的运算速度。以模块化格式编写的 LeXInt 可方便地集成到现有软件包（以 C++ 或 CUDA 编写）中，用于微分方程的时间积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SoftwareX COMPUTER SCIENCE, SOFTWARE ENGINEERING-

CiteScore

5.50

自引率

2.90%

发文量

184

审稿时长

9 weeks

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