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Journal of Computational and Engineering Mathematics, 2023, Volume 10, Issue 2, Pages 3–16
DOI: https://doi.org/10.14529/jcem230201
(Mi jcem234)
 

Computational Mathematics

Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system

Yu. V. Belova, A. M. Atayan, V. N. Litvinov, A. E. Chistyakov, E. O. Rahimbaeva, A. V. Nikitina

Don State Technical University, Rostov-on-Don, Russian Federation
Abstract: The process of solving the problem of biological kinetics, which reduces to the numerical solution of the three-dimensional diffusion-convection equation, is described. The solution of the grid equations obtained as a result of the continuous model discretization is performed on the basis of the adaptive alternating-triangular method. The problem under consideration was numerically implemented on a distributed memory computing system designed for massively parallel computing, which significantly reduced the operating time of the software module. The study of the parallel calculations model on the GPU for a sequence of thickening grids with a different number of threads allowed us to develop the optimal mode of operation of parallel algorithms with a different amount of input data. A description of the software implementation of a mathematical model adapted for hybrid computer systems is given.
Keywords: mathematical modeling, explicit-implicit difference scheme, approximation error, computational domain decomposition, distributed memory computing system.
Funding agency Grant number
Russian Science Foundation 22-71-10102
The study was supported by the Russian Science Foundation grant No. 22-71-10102, https://rscf.ru/project/22-71-10102/.
Received: 07.04.2023
Document Type: Article
UDC: 517.9
MSC: 35G50
Language: English
Citation: Yu. V. Belova, A. M. Atayan, V. N. Litvinov, A. E. Chistyakov, E. O. Rahimbaeva, A. V. Nikitina, “Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system”, J. Comp. Eng. Math., 10:2 (2023), 3–16
Citation in format AMSBIB
\Bibitem{BelAtaLit23}
\by Yu.~V.~Belova, A.~M.~Atayan, V.~N.~Litvinov, A.~E.~Chistyakov, E.~O.~Rahimbaeva, A.~V.~Nikitina
\paper Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system
\jour J. Comp. Eng. Math.
\yr 2023
\vol 10
\issue 2
\pages 3--16
\mathnet{http://mi.mathnet.ru/jcem234}
\crossref{https://doi.org/10.14529/jcem230201}
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