Geodesic
Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system
Journal of computational and engineering mathematics, Tome 10 (2023) no. 2, pp. 3-16.

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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. 
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     author = {Yu. V. Belova and A. M. Atayan and V. N. Litvinov and A. E. Chistyakov and E. O. Rahimbaeva and A. V. Nikitina},
     title = {Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system},
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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. Journal of computational and engineering mathematics, Tome 10 (2023) no. 2, pp. 3-16. http://geodesic.mathdoc.fr/item/JCEM_2023_10_2_a0/