Accelerating the Fourier split operator method via graphics processing units

Heiko Bauke, Christoph H. Keitel
Max-Planck-Institut fur Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
arXiv:1012.3911 (17 Dec 2010)


   author={Bauke}, H. and {Keitel}, C.~H.},

   title={“{Accelerating the Fourier split operator method via graphics processing units}”},

   journal={ArXiv e-prints},




   keywords={Physics – Computational Physics, Quantum Physics},




   adsnote={Provided by the SAO/NASA Astrophysics Data System}


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Current generations of graphics processing units have turned into highly parallel devices with general computing capabilities. Thus, graphics processing units may be utilized, for example, to solve time dependent partial differential equations by the Fourier split operator method. In this contribution, we demonstrate that graphics processing units are capable to calculate fast Fourier transforms much more efficiently than traditional central processing units. Thus, graphics processing units render efficient implementations of the Fourier split operator method possible. Performance gains of more than an order of magnitude as compared to implementations for traditional central processing units are reached in the solution of the time dependent Schr”odinger equation and the time dependent Dirac equation.
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