Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 932–946 (Mi smj2467)  
This article is cited in 2 scientific papers (total in 2 papers)

On the solvability and numerical methods for solution of linear integro-algebraic equations

V. F. Chistyakov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (344 kB) Citations (2)
References:
PDF
HTML
Abstract: We study solvability conditions for a system of Volterra equations with some identically degenerate or rectangular matrix at the main term. Connection is discussed of the solvability conditions and applicability of numerical methods for solving these systems. In particular, the conditions of the convergence of the least squares method with the error functional defined in Sobolev spaces are presented.
Keywords: integro-differential equation, index, least squares method, difference scheme, singular point.
Received: 07.08.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 4, Pages 746–758
DOI: https://doi.org/10.1134/S0037446613040149
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. F. Chistyakov, “On the solvability and numerical methods for solution of linear integro-algebraic equations”, Sibirsk. Mat. Zh., 54:4 (2013), 932–946; Siberian Math. J., 54:4 (2013), 746–758
Citation in format AMSBIB
\Bibitem{Chi13}
\by V.~F.~Chistyakov
\paper On the solvability and numerical methods for solution of linear integro-algebraic equations
\jour Sibirsk. Mat. Zh.
\yr 2013
\vol 54
\issue 4
\pages 932--946
\mathnet{http://mi.mathnet.ru/smj2467}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137157}
\transl
\jour Siberian Math. J.
\yr 2013
\vol 54
\issue 4
\pages 746--758
\crossref{https://doi.org/10.1134/S0037446613040149}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000323742800014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84883332917}
Linking options:
  • https://www.mathnet.ru/eng/smj2467
  • https://www.mathnet.ru/eng/smj/v54/i4/p932
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024