Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (1499 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2413
  • 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
    Statistics & downloads:
    Abstract page:201
    Full-text PDF :71
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024