An OpenCL implementation for the solution of TDSE on GPU and CPU architectures

Physics – Computational Physics

Scientific paper

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11 pages, 7 figures. The present version is slightly different from the submitted peer-reviewed version

Scientific paper

Open Computing Language (OpenCL) is a parallel processing language that is ideally suited for running parallel algorithms on Graphical Processing Units (GPUs). In the present work we report on the development of a generic parallel single-GPU code for the numerical solution of a system of first-order ordinary differential equations (ODEs) based on the OpenCL model. We have applied the code in the case of the Time-Dependent Schr\"odinger Equation of atomic hydrogen in a strong laser field and studied its performance on NVIDIA and AMD GPUs against the serial performance on a CPU. We found excellent scalability and a significant speed-up of the GPU over the CPU device which tended towards a value of about 40 with significant speedups expected against multi-core CPUs.

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