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, 2019, 146, 34 pp.
DOI: https://doi.org/10.20948/prepr-2019-146
(Mi ipmp2784)
 

This article is cited in 1 scientific paper (total in 1 paper)

Comparative analysis of automatic step selection algorithms for stiff Cauchy problems

A. A. Belov, P. E. Bulatov, N. N. Kalitkin
Full-text PDF (859 kB) Citations (1)
References:
Abstract: Automatic step selection algorithms are widely used to solve stiff Cauchy problems. The Gear and Dormand–Prince packages are the most popular ones. These methods are well established being used in soft problems but they can malfunction in stiff ones. Moreover, they do not provide guaranteed error estimation. The cases are known where the real error exceeds the user defined one by many orders of magnitude. In that work the new problem examples are found in which standard algorithms lose robustness.
Keywords: stiff Cauchy problems, Gear method, Dormand–Prince method, chemical kinetics, Arenstorf problem.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00175_а
Document Type: Preprint
UDC: 519.6
Language: Russian
Citation: A. A. Belov, P. E. Bulatov, N. N. Kalitkin, “Comparative analysis of automatic step selection algorithms for stiff Cauchy problems”, Keldysh Institute preprints, 2019, 146, 34 pp.
Citation in format AMSBIB
\Bibitem{BelBulKal19}
\by A.~A.~Belov, P.~E.~Bulatov, N.~N.~Kalitkin
\paper Comparative analysis of automatic step selection algorithms for stiff Cauchy problems
\jour Keldysh Institute preprints
\yr 2019
\papernumber 146
\totalpages 34
\mathnet{http://mi.mathnet.ru/ipmp2784}
\crossref{https://doi.org/10.20948/prepr-2019-146}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2784
  • https://www.mathnet.ru/eng/ipmp/y2019/p146
  • 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:155
    Full-text PDF :70
    References:21
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024