Tensor approach to software implementation of cellular automata model of diffusion

Abstract

The article provides a theoretical description of the tensor approach to the software implementation of the cellular automaton model of diffusion. A block-synchronous cellular automaton with a neighborhood of Margolus was chosen as a model. Within the framework of the proposed approach, the rotation of the automaton block clockwise or counterclockwise can be carried out using a special operation on tensors, namely convolution. The approach discussed in this paper allows you to use various frameworks aimed at parallelizing computations to organize scientific calculations on modern powerful graphics adapters.

Original language	English
Article number	012035
Journal	Journal of Physics: Conference Series
Volume	1680
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1680/1/012035
Publication status	Published - 21 Dec 2020
Event	13th International Conference on Computer-Aided Technologies in Applied Mathematics, ICAM 2020 - Tomsk, Russian Federation Duration: 7 Sep 2020 → 9 Sep 2020

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1088/1742-6596/1680/1/012035

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title = "Tensor approach to software implementation of cellular automata model of diffusion",

abstract = "The article provides a theoretical description of the tensor approach to the software implementation of the cellular automaton model of diffusion. A block-synchronous cellular automaton with a neighborhood of Margolus was chosen as a model. Within the framework of the proposed approach, the rotation of the automaton block clockwise or counterclockwise can be carried out using a special operation on tensors, namely convolution. The approach discussed in this paper allows you to use various frameworks aimed at parallelizing computations to organize scientific calculations on modern powerful graphics adapters. ",

author = "Matolygin, {A. K.} and Shalyapina, {N. A.} and Gromov, {M. L.} and Torgaev, {S. N.}",

note = "Funding Information: The reported study was funded by RFBR according to the research project № 20-31-90070. Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 13th International Conference on Computer-Aided Technologies in Applied Mathematics, ICAM 2020 ; Conference date: 07-09-2020 Through 09-09-2020",

year = "2020",

month = dec,

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doi = "10.1088/1742-6596/1680/1/012035",

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AU - Matolygin, A. K.

AU - Shalyapina, N. A.

AU - Gromov, M. L.

AU - Torgaev, S. N.

N1 - Funding Information: The reported study was funded by RFBR according to the research project № 20-31-90070. Publisher Copyright: © Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/12/21

Y1 - 2020/12/21

N2 - The article provides a theoretical description of the tensor approach to the software implementation of the cellular automaton model of diffusion. A block-synchronous cellular automaton with a neighborhood of Margolus was chosen as a model. Within the framework of the proposed approach, the rotation of the automaton block clockwise or counterclockwise can be carried out using a special operation on tensors, namely convolution. The approach discussed in this paper allows you to use various frameworks aimed at parallelizing computations to organize scientific calculations on modern powerful graphics adapters.

AB - The article provides a theoretical description of the tensor approach to the software implementation of the cellular automaton model of diffusion. A block-synchronous cellular automaton with a neighborhood of Margolus was chosen as a model. Within the framework of the proposed approach, the rotation of the automaton block clockwise or counterclockwise can be carried out using a special operation on tensors, namely convolution. The approach discussed in this paper allows you to use various frameworks aimed at parallelizing computations to organize scientific calculations on modern powerful graphics adapters.

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