Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 3, Pages 430–444 (Mi zvmmf168)  
This article is cited in 9 scientific papers (total in 9 papers)

Numerical solution to systems of delay integrodifferential algebraic equations

S. S. Dmitriev, E. B. Kuznetsov

Moscow State Aviation Institute, Volokolamskoe sh. 4, Moscow, 125993, Russia
Full-text PDF (1576 kB) Citations (9)
References:
PDF
HTML
Abstract: The numerical solution of the initial value problem for a system of delay integrodifferential algebraic equations is examined in the framework of the parametric continuation method. Necessary and sufficient conditions are obtained for transforming this problem to the best argument, which is the arc length along the integral curve of the problem. The efficiency of the transformation is demonstrated using test examples.
Key words: system of integrodifferential algebraic equations, delay argument, continuous and discrete parametric continuation of a solution, best argument.
Received: 13.06.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 3, Pages 406–419
DOI: https://doi.org/10.1007/s11470-008-3007-x
Bibliographic databases:
Document Type: Article
UDC: 519.642.2
Language: Russian
Citation: S. S. Dmitriev, E. B. Kuznetsov, “Numerical solution to systems of delay integrodifferential algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008), 430–444; Comput. Math. Math. Phys., 48:3 (2008), 406–419
Citation in format AMSBIB
\Bibitem{DmiKuz08}
\by S.~S.~Dmitriev, E.~B.~Kuznetsov
\paper Numerical solution to systems of delay integrodifferential algebraic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2008
\vol 48
\issue 3
\pages 430--444
\mathnet{http://mi.mathnet.ru/zvmmf168}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2426499}
\zmath{https://zbmath.org/?q=an:05282433}
\elib{https://elibrary.ru/item.asp?id=9935193}
\transl
\jour Comput. Math. Math. Phys.
\yr 2008
\vol 48
\issue 3
\pages 406--419
\crossref{https://doi.org/10.1007/s11470-008-3007-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262333200007}
\elib{https://elibrary.ru/item.asp?id=13571445}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449104050}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf168
  • https://www.mathnet.ru/eng/zvmmf/v48/i3/p430
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:517
    Full-text PDF :194
    References:67
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024