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Matematicheskoe modelirovanie, 2011, Volume 23, Number 3, Pages 75–88 (Mi mm3088)  
This article is cited in 43 scientific papers (total in 43 papers)

Approximation of step functions in problems of mathematical modeling

S. V. Alyukov

South Ural State University
Full-text PDF (481 kB) Citations (43)
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Abstract: New methods of approximation of step functions with estimation of error of the approximation are suggested. The suggested methods do not have any disadvantages of traditional approximations of step functions by means of Furrier series and can be used in problems of mathematical modeling of wide range of processes and systems.
Keywords: step functions, mathematical modeling, approximation, convergence, estimation of error, examples of using.
Received: 21.09.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 5, Pages 661–669
DOI: https://doi.org/10.1134/S2070048211050036
Bibliographic databases:
Document Type: Article
UDC: 51-74
Language: Russian
Citation: S. V. Alyukov, “Approximation of step functions in problems of mathematical modeling”, Matem. Mod., 23:3 (2011), 75–88; Math. Models Comput. Simul., 3:5 (2011), 661–669
Citation in format AMSBIB
\Bibitem{Aly11}
\by S.~V.~Alyukov
\paper Approximation of step functions in problems of mathematical modeling
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 3
\pages 75--88
\mathnet{http://mi.mathnet.ru/mm3088}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2849298}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 5
\pages 661--669
\crossref{https://doi.org/10.1134/S2070048211050036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928992472}
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    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    Abstract page:1443
    Full-text PDF :891
    References:95
    First page:36
     
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