Sibirskii Zhurnal Vychislitel'noi Matematiki
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


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




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

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2001, Volume 4, Number 2, Pages 137–150 (Mi sjvm390)  
This article is cited in 1 scientific paper (total in 1 paper)

Crank–Nicolson's scheme with different time-step in subdomains for the solution of parabolic problems

V. I. Drobyshevich, L. N. Katkova

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (622 kB) Citations (1)
References:
PDF
HTML
Abstract: A method of constructing difference schemes with different time-step in subdomains based on Crank–Nicolson's scheme is suggested. It is associated with interpolation of the solution on the boundary of subdomains. It is proved that the solution of the difference problem converges in uniform norm to that of differential problem with the order $O(\tau^2+h^2)$.
Received: 29.02.2000
Revised: 06.07.2000
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. I. Drobyshevich, L. N. Katkova, “Crank–Nicolson's scheme with different time-step in subdomains for the solution of parabolic problems”, Sib. Zh. Vychisl. Mat., 4:2 (2001), 137–150
Citation in format AMSBIB
\Bibitem{DroKat01}
\by V.~I.~Drobyshevich, L.~N.~Katkova
\paper Crank--Nicolson's scheme with different time-step in subdomains for the solution of parabolic problems
\jour Sib. Zh. Vychisl. Mat.
\yr 2001
\vol 4
\issue 2
\pages 137--150
\mathnet{http://mi.mathnet.ru/sjvm390}
\zmath{https://zbmath.org/?q=an:0973.65066}
Linking options:
  • https://www.mathnet.ru/eng/sjvm390
  • https://www.mathnet.ru/eng/sjvm/v4/i2/p137
    • 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
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024