J. Chem. Theory Comput., 4 (2), 222 -231, 2008. 10.1021/ct700268q S1549-9618(70)00268-0
Web Release Date: January 25, 2008

Copyright © 2008 American Chemical Society

Quantum Chemistry on Graphical Processing Units. 1. Strategies for Two-Electron Integral Evaluation

Ivan S. Ufimtsev and Todd J. Martínez*

Department of Chemistry and The Beckman Institute, 600 S. Mathews, University of Illinois, Urbana, Illinois 61801

Received October 13, 2007

Abstract:

Modern videogames place increasing demands on the computational and graphical hardware, leading to novel architectures that have great potential in the context of high performance computing and molecular simulation. We demonstrate that Graphical Processing Units (GPUs) can be used very efficiently to calculate two-electron repulsion integrals over Gaussian basis functions-the first step in most quantum chemistry calculations. A benchmark test performed for the evaluation of approximately 106 (ssss) integrals over contracted s-orbitals showed that a naïve algorithm implemented on the GPU achieves up to 130-fold speedup over a traditional CPU implementation on an AMD Opteron. Subsequent calculations of the Coulomb operator for a 256-atom DNA strand show that the GPU advantage is maintained for basis sets including higher angular momentum functions.


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