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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 023, 26 pp.
DOI: https://doi.org/10.20948/prepr-2019-23 (Mi ipmp2661) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The development of Butcher rooted trees theory for reduced $(m, k)$-method

S. A. Konev
Full-text PDF (571 kB) Citations (1)
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DOI: https://doi.org/10.20948/prepr-2019-23
Abstract: The extension of the Burcher rooted trees theory for reduced $(m, k)$-methods is proposed. The new concept of 'color' for the stages of the $(m, k)$-method is introduced. Based on this concept the general rules are formulated on how to obtain order conditions. Obtained theoretical results are in good compliance with known particular results from other researchers.
Keywords: stiff systems, Butcher trees, Rosenbrock methods, $(m, k)$-methods, order conditions.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00602
18-31-20020
18-01-00252
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: S. A. Konev, “The development of Butcher rooted trees theory for reduced $(m, k)$-method”, Keldysh Institute preprints, 2019, 023, 26 pp.
Citation in format AMSBIB
\Bibitem{Kon19}
\by S.~A.~Konev
\paper The development of Butcher rooted trees theory for reduced $(m, k)$-method
\jour Keldysh Institute preprints
\yr 2019
\papernumber 023
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp2661}
\crossref{https://doi.org/10.20948/prepr-2019-23}
\elib{https://elibrary.ru/item.asp?id=37137950}
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  • https://www.mathnet.ru/eng/ipmp2661
  • https://www.mathnet.ru/eng/ipmp/y2019/p23
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Full-text PDF :66
    References:33
     
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