GPU-accelerated Exponential Time Difference Method for Parabolic Equations with Stiffness
Xueyun Xie, Liyong Zhu
Available Online June 2016.
- https://doi.org/10.2991/mecs-17.2017.80How to use a DOI?
- GPU acceleration technique, parabolic equations with stiffness, Runge-Kutta exponential time difference method, cuFFT.
- In this work, we present a Graphics Processing Unit (GPU) accelerated Runge-Kutta exponential time difference (RKETD) method for parabolic equations with stiffness based on CUDA (Computed Unified Device Architecture). In the proposed method, the cuFFT library developed by NVIDIA is employed to compute discrete Fast Fourier Transforms (FFTs) which is the key part in the RKETD method on GPU. Several CUDA code optimization skills are used to improve the speedup performance. The comparison of the numerical results of CUDA-implemented RKETD method on GPU and original RKETD method on CPU demonstrates that the former can obtain good speedup performance. Numerical experiments demonstrate effectiveness and accuracy of the GPU acceleration for typical nonlinear parabolic problem with stiffness.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Xueyun Xie AU - Liyong Zhu PY - 2016/06 DA - 2016/06 TI - GPU-accelerated Exponential Time Difference Method for Parabolic Equations with Stiffness BT - Proceedings of the 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017) PB - Atlantis Press SN - 2352-5401 UR - https://doi.org/10.2991/mecs-17.2017.80 DO - https://doi.org/10.2991/mecs-17.2017.80 ID - Xie2016/06 ER -