V. B. Betelin, V. A. Galkin, “Reducing the dimensionality of grid approximations”, Russian Journal of Cybernetics, 2021, Volume 2, Issue 4,Pages <nobr>75

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Reducing the dimensionality of grid approximations

V. B. Betelin^a, V. A. Galkin^b

^a Federal State Institution “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Moscow, Russian Federation
^b Surgut Branch of Federal State Institute “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Surgut, Russian Federation

Abstract: A general approach to the development of complex systems simulation is proposed. The key computer applications problem is the high-dimensional grid approximations and high-performance supercomputers with a large number of parallel CPUs. Kinetic methods for solving differential equations and methods for "gluing" exact solutions produced with coarse meshes are developed as possible alternatives to high-dimensional grid approximations.

Keywords: kinetic methods, grid approximations, approximation dimensionality reduction.

DOI: 10.51790/2712-9942-2021-2-4-8