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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.
Received: 07.04.2023
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
Linking options:
https://www.mathnet.ru/eng/jcem234 https://www.mathnet.ru/eng/jcem/v10/i2/p3
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Abstract page: | 29 | Full-text PDF : | 9 |
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