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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 4, Pages 303–311 (Mi sjvm519)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical solution to stochastic differential equations with a random structure on supercomputers

S. S. Artemievab, V. D. Korneeva, M. A. Yakunina

a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent'eva 6, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. irogova 2, Novosibirsk, 630090, Russia
Full-text PDF (410 kB) Citations (2)
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Abstract: In this paper we investigate the precision of estimate of the expectation of solutions to stochastic differential equations with a random structure. The dependence of the precision of estimate on the size of the integration step of the generalized Euler method and on the volume of the simulated trajectories is shown. A strong loss of the precision of estimate at deterministic or random times of changing the SDE structure is shown on an example of a simple equation. This requires the use of supercomputers for the statistical modeling. The results of the numerical experiments carried out in the Siberian SuperСomputer Center are presented.
Key words: stochastic differential equations, parallelization, supercomputer, the methods of statistical modeling, the generalized Euler method.
Received: 12.04.2012
Revised: 10.05.2012
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 4, Pages 261–267
DOI: https://doi.org/10.1134/S1995423913040010
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: S. S. Artemiev, V. D. Korneev, M. A. Yakunin, “Numerical solution to stochastic differential equations with a random structure on supercomputers”, Sib. Zh. Vychisl. Mat., 16:4 (2013), 303–311; Num. Anal. Appl., 6:4 (2013), 261–267
Citation in format AMSBIB
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\by S.~S.~Artemiev, V.~D.~Korneev, M.~A.~Yakunin
\paper Numerical solution to stochastic differential equations with a~random structure on supercomputers
\jour Sib. Zh. Vychisl. Mat.
\yr 2013
\vol 16
\issue 4
\pages 303--311
\mathnet{http://mi.mathnet.ru/sjvm519}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380130}
\elib{https://elibrary.ru/item.asp?id=21897068}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 4
\pages 261--267
\crossref{https://doi.org/10.1134/S1995423913040010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889064558}
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  • https://www.mathnet.ru/eng/sjvm519
  • https://www.mathnet.ru/eng/sjvm/v16/i4/p303
    • This publication is cited in the following 2 articles:
    1. S. S. Artemiev, M. A. Yakunin, “Analysis of the accuracy of estimates of the first moments of solving SDE with Wiener and Poisson components by Monte Carlo method”, Num. Anal. Appl., 9:1 (2016), 24–33  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    2. S. S. Artemiev, A. A. Ivanov, “Analysis of the effect of random noise on the strange attractors of Monte Carlo on a supercomputer”, Num. Anal. Appl., 8:2 (2015), 101–112  mathnet  crossref  crossref  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    Full-text PDF :101
    References:69
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