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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 051, 24 pp.
DOI: https://doi.org/10.20948/prepr-2018-51 (Mi ipmp2413) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Development of exponential integrator based on classical Runge–Kutta method and it's application for solving stiff systems

M. P. Galanin, S. A. Konev
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DOI: https://doi.org/10.20948/prepr-2018-51
Abstract: The paper deals with numerical method for solving stiff systems of ordinary differential equations. The new method RK4exp is derived on the base of classical four-stage Runge–Kutta method. The convergence of RK4exp is proved and it's stability function is calculated. Theoretical results are verified with numerical experiments.
Keywords: ordinary differential equations; numerical methods; exponential integrators; Runge–Kutta methods.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00252
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: M. P. Galanin, S. A. Konev, “Development of exponential integrator based on classical Runge–Kutta method and it's application for solving stiff systems”, Keldysh Institute preprints, 2018, 051, 24 pp.
Citation in format AMSBIB
\Bibitem{GalKon18}
\by M.~P.~Galanin, S.~A.~Konev
\paper Development of exponential integrator based on classical Runge--Kutta method and it's application for solving stiff systems
\jour Keldysh Institute preprints
\yr 2018
\papernumber 051
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp2413}
\crossref{https://doi.org/10.20948/prepr-2018-51}
\elib{https://elibrary.ru/item.asp?id=32809183}
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  • https://www.mathnet.ru/eng/ipmp/y2018/p51
    • 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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