Geodesic
Enabling science through emerging HPC technologies: accelerating numerical quadrature using a GPU
Numerical methods and programming, Tome 10 (2009) no. 4, pp. 385-388.

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The R-matrix method when applied to the study of intermediate energy electron scattering by the hydrogen atom gives rise to a large number of two electron integrals between numerical basis functions. Each integral is evaluated independently of the others, thereby rendering this a prime candidate for a parallel implementation. In this paper, we present a parallel implementation of this routine which uses a Graphical Processing Unit as a co-processor, giving a speedup of approximately $20$ times when compared with a sequential version. We briefly consider properties of this calculation which make a GPU implementation appropriate with a view to identifying other calculations which might similarly benefit.
Keywords: numerical integration; R-matrix method; parallel implementation; GPU. 
@article{VMP_2009_10_4_a2,
     author = {I. Spence and N. S. Scott and C. J. Gillan},
     title = {Enabling science through emerging {HPC} technologies: accelerating numerical quadrature using a {GPU}},
     journal = {Numerical methods and programming},
     pages = {385--388},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2009_10_4_a2/}
}
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I. Spence; N. S. Scott; C. J. Gillan. Enabling science through emerging HPC technologies: accelerating numerical quadrature using a GPU. Numerical methods and programming, Tome 10 (2009) no. 4, pp. 385-388. http://geodesic.mathdoc.fr/item/VMP_2009_10_4_a2/