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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 1, Pages 72–79
DOI: https://doi.org/10.17377/sibjim.2018.21.107 (Mi sjim990) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Markov model for the dynamics of cracks of a special type

L. Ya. Savel'evab

a Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
b Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2018.21.107
Abstract: Stochastic Markov models describe various natural and technical processes. They are often used in the most diverse fields. We single out the Markov models with discrete time and small number of states. In specific cases, such models allow carrying out effective analysis and calculations. We discuss in detail the models with four states. The processes associated with the elliptic cracks are simulated.
Keywords: stochastic modeling, Markov model, probability, dynamics, crack.
Received: 30.06.2017
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 1, Pages 145–152
DOI: https://doi.org/10.1134/S1990478918010131
Bibliographic databases:
Document Type: Article
UDC: 519.217.2+51-73
Language: Russian
Citation: L. Ya. Savel'ev, “A Markov model for the dynamics of cracks of a special type”, Sib. Zh. Ind. Mat., 21:1 (2018), 72–79; J. Appl. Industr. Math., 12:1 (2018), 145–152
Citation in format AMSBIB
\Bibitem{Sav18}
\by L.~Ya.~Savel'ev
\paper A~Markov model for the dynamics of cracks of a~special type
\jour Sib. Zh. Ind. Mat.
\yr 2018
\vol 21
\issue 1
\pages 72--79
\mathnet{http://mi.mathnet.ru/sjim990}
\crossref{https://doi.org/10.17377/sibjim.2018.21.107}
\elib{https://elibrary.ru/item.asp?id=32872883}
\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 1
\pages 145--152
\crossref{https://doi.org/10.1134/S1990478918010131}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043289360}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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