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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 3, Pages 283–295 (Mi sjvm48)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximation of the Jacobi matrix in $(m,3)$-methods of solving stiff systems

A. L. Dvinskya, E. A. Novikovb

a Siberian Federal University
b Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences
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Abstract: The theorem that the maximal order of accuracy of $L$-stable $(m,k)$-methods with freezing the Jacobi matrix is equal to four.
Key words: stiff systems, one-step methods, $(m,k)$-methods, freezing the Jacobi matrix, the maximal order of accuracy.
Received: 27.08.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 3, Pages 233–243
DOI: https://doi.org/10.1134/S199542390803004X
UDC: 519.622
Language: Russian
Citation: A. L. Dvinsky, E. A. Novikov, “Approximation of the Jacobi matrix in $(m,3)$-methods of solving stiff systems”, Sib. Zh. Vychisl. Mat., 11:3 (2008), 283–295; Num. Anal. Appl., 1:3 (2008), 233–243
Citation in format AMSBIB
\Bibitem{DviNov08}
\by A.~L.~Dvinsky, E.~A.~Novikov
\paper Approximation of the Jacobi matrix in $(m,3)$-methods of solving stiff systems
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 3
\pages 283--295
\mathnet{http://mi.mathnet.ru/sjvm48}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 3
\pages 233--243
\crossref{https://doi.org/10.1134/S199542390803004X}
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    Citing articles in Google Scholar: Russian citations, English citations
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