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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 4, Pages 203–208 (Mi fpm968)  
This article is cited in 4 scientific papers (total in 4 papers)

Rational-fractional methods for solving stiff systems of differential equations

R. V. Slonevskiiab, R. R. Stolyarchukba

a Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University
b Lviv Polytechnic National University
Full-text PDF (93 kB) Citations (4)
Abstract: The paper proposes new numerical methods for solving stiff systems of first-order differential equations not resolved with respect to the derivative. These methods are based on rational-fractional approximations of the vector-valued function of solution of the system considered. The authors study the stability of the constructed methods of arbitrary finite accuracy order. The analysis of the results of experimental studies of these methods by test examples of various types confirms their efficiency.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 150, Issue 5, Pages 2434–2438
DOI: https://doi.org/10.1007/s10958-008-0141-x
Bibliographic databases:
UDC: 517.91
Language: Russian
Citation: R. V. Slonevskii, R. R. Stolyarchuk, “Rational-fractional methods for solving stiff systems of differential equations”, Fundam. Prikl. Mat., 12:4 (2006), 203–208; J. Math. Sci., 150:5 (2008), 2434–2438
Citation in format AMSBIB
\Bibitem{SloSto06}
\by R.~V.~Slonevskii, R.~R.~Stolyarchuk
\paper Rational-fractional methods for solving stiff systems of differential equations
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 4
\pages 203--208
\mathnet{http://mi.mathnet.ru/fpm968}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314154}
\zmath{https://zbmath.org/?q=an:1151.34303}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 150
\issue 5
\pages 2434--2438
\crossref{https://doi.org/10.1007/s10958-008-0141-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42149099459}
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  • https://www.mathnet.ru/eng/fpm/v12/i4/p203
    • 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
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