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Program Systems: Theory and Applications, 2012, Volume 3, Issue 5, Pages 59–69 (Mi ps83)  
Optimization Methods and Control Theory

Heterogeneous integration algorithm of based three-stages methods

E. A. Novikov

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk
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Abstract: An $L$-stable method and an explicit Runge–Kutta type scheme are constructed, both schemes of order three. The most effective numerical scheme is chosen for each step by means of stability control inequality.
Key words and phrases: stiff problems, algorithms of variable configuration, control accuracy and stability.
Received: 16.11.2012
Document Type: Article
UDC: 519.622
Language: Russian
Citation: E. A. Novikov, “Heterogeneous integration algorithm of based three-stages methods”, Program Systems: Theory and Applications, 3:5 (2012), 59–69
Citation in format AMSBIB
\Bibitem{Nov12}
\by E.~A.~Novikov
\paper Heterogeneous integration algorithm of based three-stages methods
\jour Program Systems: Theory and Applications
\yr 2012
\vol 3
\issue 5
\pages 59--69
\mathnet{http://mi.mathnet.ru/ps83}
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