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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 4(25), Pages 110–117
DOI: https://doi.org/10.14498/vsgtu842
(Mi vsgtu842)
 

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

Generalization of coarse-grained models with introduction of three-dimensional space

M. N. Nazarov

Dept. of Higher Mathematics - 1, National Research University of Electronic Technology, Zelenograd, Moscow
Full-text PDF (226 kB) Citations (4)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: As a candidate for generalization in the scope of this work we consider any model derived from a system of first order ordinary differential equations for quantities of abstract bulk objects. The main objective of this work is to construct a universal scheme for generalization of such models with introduction of three-dimensional space and regard for migration of objects without switching to partial derivatives.
Keywords: mathematical modeling, ordinary differential equations, model space generalization.
Original article submitted 06/XI/2010
revision submitted – 15/VII/2011
Bibliographic databases:
Document Type: Article
UDC: 519.673
MSC: Primary 68W15; Secondary 70G99, 34A99
Language: Russian
Citation: M. N. Nazarov, “Generalization of coarse-grained models with introduction of three-dimensional space”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(25) (2011), 110–117
Citation in format AMSBIB
\Bibitem{Naz11}
\by M.~N.~Nazarov
\paper Generalization of coarse-grained models with introduction of three-dimensional space
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 4(25)
\pages 110--117
\mathnet{http://mi.mathnet.ru/vsgtu842}
\crossref{https://doi.org/10.14498/vsgtu842}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu842
  • https://www.mathnet.ru/eng/vsgtu/v125/p110
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:1019
    Full-text PDF :184
    References:58
    First page:1
     
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