LeXInt: GPU-accelerated Exponential Integrators package
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916448230703104 |
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| author | Deka, Pranab J Moriggl, Alexander Einkemmer, Lukas |
| author_facet | Deka, Pranab J Moriggl, Alexander Einkemmer, Lukas |
| contents | 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 $φ_l$ 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 easy integration into any existing software package, and can be used for temporal integration of any differential equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08344 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | LeXInt: GPU-accelerated Exponential Integrators package Deka, Pranab J Moriggl, Alexander Einkemmer, Lukas Numerical Analysis Instrumentation and Methods for Astrophysics Mathematical Physics Computational Physics 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 $φ_l$ 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 easy integration into any existing software package, and can be used for temporal integration of any differential equation. |
| title | LeXInt: GPU-accelerated Exponential Integrators package |
| topic | Numerical Analysis Instrumentation and Methods for Astrophysics Mathematical Physics Computational Physics |
| url | https://arxiv.org/abs/2310.08344 |