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Computer Optics, 2015, Volume 39, Issue 1, Pages 87–93 (Mi co61)  

NUMERICAL METHODS FOR COMPUTER OPTICS

Long vectors algorithms for solving grid equations of explicit difference schemes

D. G. Vorotnikovaab, D. L. Golovashkinab

a Samara State Aerospace University
b Image Processing Systems Institute of the Russian Academy of Sciences

Abstract: We propose two variants of long vectors algorithms for solving grid equations of explicit difference schemes, allowing one to use the maximum number of CUDA cores even for a small dimension of the grid domain. The implementation of these algorithms is shown by the example of the heat conduction equation and the solution of Maxwell's equations. The comparison between the proposed algorithms implemented by means of the CUBLAS library and free software packages B-CALM and OpenCurrent is done.

Keywords: CUBLAS, heat equation, Maxwell's equations, difference scheme, PDE.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 14-07-00291
14-07-31178_
This work was supported by the Ministry of Education and Science of the Russian Federation and the Russian Federal Property Fund grants and 14-07-00291A 14-07-31178mol_a.


DOI: https://doi.org/10.18287/0134-2452-2015-39-1-87-93

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Full text: http://www.computeroptics.smr.ru/.../390112.html
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Received: 20.01.2015

Citation: D. G. Vorotnikova, D. L. Golovashkin, “Long vectors algorithms for solving grid equations of explicit difference schemes”, Computer Optics, 39:1 (2015), 87–93

Citation in format AMSBIB
\Bibitem{VorGol15}
\by D.~G.~Vorotnikova, D.~L.~Golovashkin
\paper Long vectors algorithms for solving grid equations of explicit difference schemes
\jour Computer Optics
\yr 2015
\vol 39
\issue 1
\pages 87--93
\mathnet{http://mi.mathnet.ru/co61}
\crossref{https://doi.org/10.18287/0134-2452-2015-39-1-87-93}


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