Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 3(1), Pages 46–53
DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-46-53 (Mi isu234) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Variable order and step algorithm based on a stages of Runge–Kutta method of third order of accuracy

E. A. Novikov

Institute of Computational Modeling SB RAS, Krasnoyarsk, Department of Calculus Mathematics
Full-text PDF (266 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-46-53
Abstract: An inequality for the stability control of 3-stage Runge–Kutta method of 3th order of accuracy is obtained. Method of first order with expanded stability domain is constructed. Algorithm of variable order is formulated. The results of stiff system computations are provided, which confirm an increase in efficiency for the variable order method as compared to a calculation with fixed scheme.
Key words: stiff problems, explicit method, stability and accuracy control, variable order.
Document Type: Article
UDC: 519.622
Language: Russian
Citation: E. A. Novikov, “Variable order and step algorithm based on a stages of Runge–Kutta method of third order of accuracy”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011), 46–53
Citation in format AMSBIB
\Bibitem{Nov11}
\by E.~A.~Novikov
\paper Variable order and step algorithm based on a~stages of Runge--Kutta method of third order of accuracy
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 3(1)
\pages 46--53
\mathnet{http://mi.mathnet.ru/isu234}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-3-1-46-53}
Linking options:
  • https://www.mathnet.ru/eng/isu234
  • https://www.mathnet.ru/eng/isu/v11/i3/p46
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:340
    Full-text PDF :108
    References:57
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024