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Speeding up a few orders of magnitude the Jacobi method: high order Chebyshev-Jacobi over GPUs

J.E. Adsuara, I. Cordero-Carrion, P. Cerda-Duran, M.A. Aloy
Departamento de Astronomia y Astrofisica, Universidad de Valencia, E-46100, Burjassot, Spain
arXiv:1705.00103 [math.NA], (29 Apr 2017)

@article{adsuara2017speeding,

   title={Speeding up a few orders of magnitude the Jacobi method: high order Chebyshev-Jacobi over GPUs},

   author={Adsuara, J.E. and Cordero-Carrion, I. and Cerda-Duran, P. and Aloy, M.A.},

   year={2017},

   month={apr},

   archivePrefix={"arXiv"},

   primaryClass={math.NA}

}

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In this technical note we show how to reach a remarkable speed up when solving elliptic partial differential equations with finite differences thanks to the joint use of the Chebyshev-Jacobi method with high order discretizations and its parallel implementation over GPUs.
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