Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Zametki, 1996, Volume 60, Issue 5, Pages 751–759
DOI: https://doi.org/10.4213/mzm1886
(Mi mzm1886)
 

This article is cited in 2 scientific papers (total in 2 papers)

A three-time-level explicit difference scheme of the second order of accuracy for parabolic equations

A. S. Shvedov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (524 kB) Citations (2)
References:
Abstract: The difference schemes of Richardson [1] and of Crank–Nicolson [2] are schemes providing second-order approximation. Richardson's three-time-level difference scheme is explicit but unstable and the Crank–Nicolson two-time-level difference scheme is stable but implicit. Explicit numerical methods are preferable for parallel computations. In this paper, an explicit three-time-level difference scheme of the second order of accuracy is constructed for parabolic equations by combining Richardson's scheme with that of Crank–Nicolson. Restrictions on the time step required for the stability of the proposed difference scheme are similar to those that are necessary for the stability of the two-time-level explicit difference scheme, but the former are slightly less onerous.
Received: 28.12.1995
English version:
Mathematical Notes, 1996, Volume 60, Issue 5, Pages 562–568
DOI: https://doi.org/10.1007/BF02309170
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. S. Shvedov, “A three-time-level explicit difference scheme of the second order of accuracy for parabolic equations”, Mat. Zametki, 60:5 (1996), 751–759; Math. Notes, 60:5 (1996), 562–568
Citation in format AMSBIB
\Bibitem{Shv96}
\by A.~S.~Shvedov
\paper A three-time-level explicit difference scheme of the second order of accuracy for parabolic equations
\jour Mat. Zametki
\yr 1996
\vol 60
\issue 5
\pages 751--759
\mathnet{http://mi.mathnet.ru/mzm1886}
\crossref{https://doi.org/10.4213/mzm1886}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1619913}
\zmath{https://zbmath.org/?q=an:0897.65055}
\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 5
\pages 562--568
\crossref{https://doi.org/10.1007/BF02309170}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WZ03000009}
Linking options:
  • https://www.mathnet.ru/eng/mzm1886
  • https://doi.org/10.4213/mzm1886
  • https://www.mathnet.ru/eng/mzm/v60/i5/p751
  • 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
    Математические заметки Mathematical Notes
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024