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, 2013, Volume 13, Issue 3, Pages 35–43
DOI: https://doi.org/10.18500/1816-9791-2013-13-3-35-43
(Mi isu431)
 

Mathematics

Algorithm variable order, step and the configuration variables for solving stiff problems

E. A. Novikov

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Russia, 660036, Krasnoyarsk, Akademgorodok
References:
Abstract: An inequality for stability control of a Ceschino's scheme of second order of accuracy is constructed. A numerical formula of order one is developed that is based on the stages of the this method and its stability interval is extended to 32. On a base of $L$-stable $(2,1)$-scheme and a numerical Ceschino's formula, an algorithm of alternating structure, in which an efficient numerical formula is chosen on an every step by a stability criterion, is constructed. The algorithm is intended for solving stiff and non-stiff problems. There are shown results of calculations, confirming efficiency of this algorithm.
Key words: stiff problem, Ceschino's scheme, $(2,1)$-method, accuracy and stability control.
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: E. A. Novikov, “Algorithm variable order, step and the configuration variables for solving stiff problems”, Izv. Saratov Univ. Math. Mech. Inform., 13:3 (2013), 35–43
Citation in format AMSBIB
\Bibitem{Nov13}
\by E.~A.~Novikov
\paper Algorithm variable order, step and the configuration variables for solving stiff problems
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 3
\pages 35--43
\mathnet{http://mi.mathnet.ru/isu431}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-3-35-43}
Linking options:
  • https://www.mathnet.ru/eng/isu431
  • https://www.mathnet.ru/eng/isu/v13/i5/p35
  • 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024