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We present a General-purpose computing on graphics processing units (GPGPU)based computational program and framework for the electronic dynamics of atomicsystems under intense laser fields. We present our results using the case ofhydrogen, however the code is trivially extensible to tackle problems withinthe single-active electron (SAE) approximation. Building on our previous work,we introduce the first available GPGPU based implementation of the Taylor,Runge-Kutta and Lanczos based methods created with strong field ab-initiosimulations specifically in mind; CLTDSE. The code makes use of finitedifference methods and the OpenCL framework for GPU acceleration. The specificexample system used is the classic test system; Hydrogen. After introducing thestandard theory, and specific quantities which are calculated, the code,including installation and usage, is discussed in-depth. This is followed bysome examples and a short benchmark between an 8 hardware thread (i.e logicalcore) Intel Xeon CPU and an AMD 6970 GPU, where the parallel algorithm runs 10times faster on the GPU than the CPU.

A GPGPU based program to solve the TDSE in intense laser fields through the finite difference approach