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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 2, Pages 97–106 (Mi sjim836)  
This article is cited in 2 scientific papers (total in 2 papers)

Simple stochastic models of fractures

L. Ya. Savel'evab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
Full-text PDF (253 kB) Citations (2)
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Abstract: Stochastic Markov models describe various natural and technical processes. They are often used in various fields. In particular, there are considered Markov models with discrete time and few states. In particular cases, such models make it possible to implement efficient computations. The article deals with special models with two, four, and eight states as well as the processes with hydraulic fracturing and the development of a wavefront.
Keywords: stochastic modeling, Markov models, finite Markov chain, crack, probability, mean.
Received: 26.03.2014
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 3, Pages 385–394
DOI: https://doi.org/10.1134/S1990478914030119
Bibliographic databases:
Document Type: Article
UDC: 519.21:51.74
Language: Russian
Citation: L. Ya. Savel'ev, “Simple stochastic models of fractures”, Sib. Zh. Ind. Mat., 17:2 (2014), 97–106; J. Appl. Industr. Math., 8:3 (2014), 385–394
Citation in format AMSBIB
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\by L.~Ya.~Savel'ev
\paper Simple stochastic models of fractures
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 2
\pages 97--106
\mathnet{http://mi.mathnet.ru/sjim836}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379243}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 3
\pages 385--394
\crossref{https://doi.org/10.1134/S1990478914030119}
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  • https://www.mathnet.ru/eng/sjim/v17/i2/p97
    • This publication is cited in the following 2 articles:
    1. M. A. Zhuravkov, Yu. Zamzhitskaya-Chigareva, “Markov fracture models of inhomogeneous media and design of layered structures synthesized by additive technology”, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 60:2 (2024), 106  crossref
    2. L. Ya. Savel'ev, “A Markov model for the dynamics of cracks of a special type”, J. Appl. Industr. Math., 12:1 (2018), 145–152  mathnet  crossref  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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    References:98
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