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Journal of Automation and Information Sciences

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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i10.60
pages 58-71

Splitting Methods Parallel Algorithms for Problems of Pollution Transport in Atmosphere

Anatoliy V. Gladky
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Tatyana Yu. Blagoveshchenskaya
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Vsevolod A. Bohaienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev

ABSTRACT

The problem of mathematical modeling of the spread of contamination from point sources in the air has been considered. An approach that uses the idea of splitting and organization of computation with explicit difference schemes of a traveling wave has been proposed for the numerical solution of multi-dimensional convection-diffusion equations. Problems of construction of splitting difference schemes, approximation and stability by the initial data have been investigated. Parallel algorithms for GPU and cluster systems have been proposed.