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Matematicheskoe modelirovanie, 2009, Volume 21, Number 12, Pages 47–58 (Mi mm2912)  
This article is cited in 3 scientific papers (total in 3 papers)

Numerical continuation of solution in bifurcation points of mathematical models

S. D. Krasnikov, E. B. Kuznetsov

Moscow Aviation Institute
Full-text PDF (223 kB) Citations (3)
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Abstract: In this paper the problem of numerical continuation of the solution in a neighborhood of the bifurcation points of the system of nonlinear algebraic or transcendental equations is considered.
Received: 22.04.2008
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 4, Pages 482–492
DOI: https://doi.org/10.1134/S2070048210040071
Bibliographic databases:
Language: Russian
Citation: S. D. Krasnikov, E. B. Kuznetsov, “Numerical continuation of solution in bifurcation points of mathematical models”, Mat. Model., 21:12 (2009), 47–58; Math. Models Comput. Simul., 2:4 (2010), 482–492
Citation in format AMSBIB
\Bibitem{KraKuz09}
\by S.~D.~Krasnikov, E.~B.~Kuznetsov
\paper Numerical continuation of solution in bifurcation points of mathematical models
\jour Mat. Model.
\yr 2009
\vol 21
\issue 12
\pages 47--58
\mathnet{http://mi.mathnet.ru/mm2912}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2650498}
\zmath{https://zbmath.org/?q=an:05769305}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 4
\pages 482--492
\crossref{https://doi.org/10.1134/S2070048210040071}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929083644}
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  • https://www.mathnet.ru/eng/mm2912
  • https://www.mathnet.ru/eng/mm/v21/i12/p47
    • This publication is cited in the following 3 articles:
    1. S. D. Krasnikov, E. B. Kuznetsov, “Numerical continuation of solution at a singular point of high codimension for systems of nonlinear algebraic or transcendental equations”, Comput. Math. Math. Phys., 56:9 (2016), 1551–1564  mathnet  crossref  crossref  isi  elib
    2. S. D. Krasnikov, E. B. Kuznetsov, “Numerical continuation of solution at singular points of codimension one”, Comput. Math. Math. Phys., 55:11 (2015), 1802–1822  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. E. B. Kuznetsov, “Continuation of solutions in multiparameter approximation of curves and surfaces”, Comput. Math. Math. Phys., 52:8 (2012), 1149–1162  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    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:594
    Full-text PDF :215
    References:88
    First page:17
     
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