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Zh. Vychisl. Mat. Mat. Fiz., 2005, Volume 45, Number 11, Pages 2017–2030 (Mi zvmmf569)  

This article is cited in 8 scientific papers (total in 8 papers)

Explicit Runge–Kutta methods for moderately stiff problems

L. M. Skvortsov

Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005, Russia

Abstract: Explicit Runge–Kutta methods (including stabilized methods) possessing improved accuracy when solving moderately stiff problems are considered. The advantages of the new methods over the ordinary ones are demonstrated.

Key words: stiff systems of differential equations, explicit Runge–Kutta methods.

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English version:
Computational Mathematics and Mathematical Physics, 2005, 45:11, 1939–1951

Bibliographic databases:

Document Type: Article
UDC: 519.622
Received: 02.12.2004

Citation: L. M. Skvortsov, “Explicit Runge–Kutta methods for moderately stiff problems”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 2017–2030; Comput. Math. Math. Phys., 45:11 (2005), 1939–1951

Citation in format AMSBIB
\Bibitem{Skv05}
\by L.~M.~Skvortsov
\paper Explicit Runge--Kutta methods for moderately stiff problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 11
\pages 2017--2030
\mathnet{http://mi.mathnet.ru/zvmmf569}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2203225}
\zmath{https://zbmath.org/?q=an:1102.65079}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 11
\pages 1939--1951


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. M. Skvortsov, “Explicit two-step Runge–Kutta methods”, Math. Models Comput. Simul., 2:2 (2010), 222–231  mathnet  crossref  mathscinet  zmath
    2. L. M. Skvortsov, “Model equations for accuracy investigation of Runge–Kutta methods”, Math. Models Comput. Simul., 2:6 (2010), 800–811  mathnet  crossref  mathscinet
    3. L. M. Skvortsov, “Prostoi sposob postroeniya mnogochlenov ustoichivosti dlya yavnykh stabilizirovannykh metodov Runge–Kutty”, Matem. modelirovanie, 23:1 (2011), 81–86  mathnet  mathscinet
    4. L. M. Skvortsov, “Explicit stabilized Runge–Kutta methods”, Comput. Math. Math. Phys., 51:7 (2011), 1153–1166  mathnet  crossref  mathscinet  isi  elib
    5. M. V. Bulatov, A. V. Tygliyan, S. S. Filippov, “A class of one-step one-stage methods for stiff systems of ordinary differential equations”, Comput. Math. Math. Phys., 51:7 (2011), 1167–1180  mathnet  crossref  mathscinet  isi
    6. L. M. Skvortsov, “Explicit adaptive Runge–Kutta methods for stiff and oscillation problems”, Comput. Math. Math. Phys., 51:8 (2011), 1339–1352  mathnet  crossref  mathscinet  isi
    7. L. M. Skvortsov, “On implicit Runge–Kutta methods received as a result of inversion of explicit methods”, Math. Models Comput. Simul., 9:4 (2017), 498–510  mathnet  crossref  elib
    8. L. M. Skvortsov, “How to avoid accuracy and order reduction in Runge–Kutta methods as applied to stiff problems”, Comput. Math. Math. Phys., 57:7 (2017), 1124–1139  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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