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Synchronous multi-particle cellular automaton model of diffusion with self-annihilation. / Kireeva, Anastasiya; Sabelfeld, Karl K.; Kireev, Sergey.

Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings. ed. / Victor Malyshkin. Springer-Verlag GmbH and Co. KG, 2019. p. 345-359 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11657 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Kireeva, A, Sabelfeld, KK & Kireev, S 2019, Synchronous multi-particle cellular automaton model of diffusion with self-annihilation. in V Malyshkin (ed.), Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11657 LNCS, Springer-Verlag GmbH and Co. KG, pp. 345-359, 15th International Conference on Parallel Computing Technologies, PaCT 2019, Almaty, Kazakhstan, 19.08.2019. https://doi.org/10.1007/978-3-030-25636-4_27

APA

Kireeva, A., Sabelfeld, K. K., & Kireev, S. (2019). Synchronous multi-particle cellular automaton model of diffusion with self-annihilation. In V. Malyshkin (Ed.), Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings (pp. 345-359). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11657 LNCS). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-030-25636-4_27

Vancouver

Kireeva A, Sabelfeld KK, Kireev S. Synchronous multi-particle cellular automaton model of diffusion with self-annihilation. In Malyshkin V, editor, Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings. Springer-Verlag GmbH and Co. KG. 2019. p. 345-359. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-25636-4_27

Author

Kireeva, Anastasiya ; Sabelfeld, Karl K. ; Kireev, Sergey. / Synchronous multi-particle cellular automaton model of diffusion with self-annihilation. Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings. editor / Victor Malyshkin. Springer-Verlag GmbH and Co. KG, 2019. pp. 345-359 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{5255ec7b8d254383acf1f2f02e875ff1,
title = "Synchronous multi-particle cellular automaton model of diffusion with self-annihilation",
abstract = "In this paper a synchronous multi-particle cellular automaton model of diffusion with self-annihilation is developed based on the multi-particle cellular automata suggested previously by other authors. The models of pure diffusion and diffusion with self-annihilation are described and investigated. The correctness of the models is tested separately against the exact solutions of the diffusion equation for different 3D domains. The accuracy of the cellular automata simulation results is investigated depending on the number of cells per a single physical unit. The calculation time of cellular automaton simulation of diffusion with self-annihilation is compared with the calculation time of the Monte Carlo random walk on parallelepipeds method for different domain sizes. The parallel implementation of the cellular automaton model is developed and efficiency of the parallel code is analyzed.",
keywords = "Diffusion, Monte Carlo, Multi-particle cellular automaton, Self-annihilation, Synchronous mode",
author = "Anastasiya Kireeva and Sabelfeld, {Karl K.} and Sergey Kireev",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-25636-4_27",
language = "English",
isbn = "9783030256357",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "345--359",
editor = "Victor Malyshkin",
booktitle = "Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings",
address = "Germany",
note = "15th International Conference on Parallel Computing Technologies, PaCT 2019 ; Conference date: 19-08-2019 Through 23-08-2019",

}

RIS

TY - GEN

T1 - Synchronous multi-particle cellular automaton model of diffusion with self-annihilation

AU - Kireeva, Anastasiya

AU - Sabelfeld, Karl K.

AU - Kireev, Sergey

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper a synchronous multi-particle cellular automaton model of diffusion with self-annihilation is developed based on the multi-particle cellular automata suggested previously by other authors. The models of pure diffusion and diffusion with self-annihilation are described and investigated. The correctness of the models is tested separately against the exact solutions of the diffusion equation for different 3D domains. The accuracy of the cellular automata simulation results is investigated depending on the number of cells per a single physical unit. The calculation time of cellular automaton simulation of diffusion with self-annihilation is compared with the calculation time of the Monte Carlo random walk on parallelepipeds method for different domain sizes. The parallel implementation of the cellular automaton model is developed and efficiency of the parallel code is analyzed.

AB - In this paper a synchronous multi-particle cellular automaton model of diffusion with self-annihilation is developed based on the multi-particle cellular automata suggested previously by other authors. The models of pure diffusion and diffusion with self-annihilation are described and investigated. The correctness of the models is tested separately against the exact solutions of the diffusion equation for different 3D domains. The accuracy of the cellular automata simulation results is investigated depending on the number of cells per a single physical unit. The calculation time of cellular automaton simulation of diffusion with self-annihilation is compared with the calculation time of the Monte Carlo random walk on parallelepipeds method for different domain sizes. The parallel implementation of the cellular automaton model is developed and efficiency of the parallel code is analyzed.

KW - Diffusion

KW - Monte Carlo

KW - Multi-particle cellular automaton

KW - Self-annihilation

KW - Synchronous mode

UR - http://www.scopus.com/inward/record.url?scp=85070605362&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-25636-4_27

DO - 10.1007/978-3-030-25636-4_27

M3 - Conference contribution

AN - SCOPUS:85070605362

SN - 9783030256357

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 345

EP - 359

BT - Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings

A2 - Malyshkin, Victor

PB - Springer-Verlag GmbH and Co. KG

T2 - 15th International Conference on Parallel Computing Technologies, PaCT 2019

Y2 - 19 August 2019 through 23 August 2019

ER -

ID: 21236876