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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 1, Pages 84–94 (Mi sjim598)  
An additive third order method for solving rigid nonautonomous problems

E. A. Novikov

Institute of Numerical Modeling, SB RAS, Krasnoyarsk
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Abstract: We construct an additive method of the third order of accuracy for solving rigid nonautonomous problems. We obtain inequalities for controlling the precision of calculations and stability of the numerical algorithm. We include the results of some simulations.
Keywords: rigid problems, additive method, control of precision and stability.
Received: 04.05.2009
English version:
Journal of Applied and Industrial Mathematics, 2010, Volume 4, Issue 4, Pages 539–548
DOI: https://doi.org/10.1134/S1990478910040083
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: E. A. Novikov, “An additive third order method for solving rigid nonautonomous problems”, Sib. Zh. Ind. Mat., 13:1 (2010), 84–94; J. Appl. Industr. Math., 4:4 (2010), 539–548
Citation in format AMSBIB
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\by E.~A.~Novikov
\paper An additive third order method for solving rigid nonautonomous problems
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 1
\pages 84--94
\mathnet{http://mi.mathnet.ru/sjim598}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2839587}
\transl
\jour J. Appl. Industr. Math.
\yr 2010
\vol 4
\issue 4
\pages 539--548
\crossref{https://doi.org/10.1134/S1990478910040083}
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