Tensor approach to software implementation of cellular automata model of diffusion

A. K. Matolygin, N. A. Shalyapina, M. L. Gromov, S. N. Torgaev

Research output: Contribution to journalConference articlepeer-review

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 languageEnglish
Article number012035
JournalJournal of Physics: Conference Series
Volume1680
Issue number1
DOIs
Publication statusPublished - 21 Dec 2020
Event13th International Conference on Computer-Aided Technologies in Applied Mathematics, ICAM 2020 - Tomsk, Russian Federation
Duration: 7 Sep 20209 Sep 2020

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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