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, 2006, Volume 46, Number 9, Pages 1594–1604 (Mi zvmmf412)  
This article is cited in 5 scientific papers (total in 5 papers)

Discretization of the solutions to Poisson's equation

E. A. Bailov, N. Temirgaliev

Eurasian National University, ul. Munaitpasova 5, Astana, 473021, Kazakhstan
Full-text PDF (1002 kB) Citations (5)
References:
PDF
HTML
Abstract: Sharp estimates (in the power scale) are obtained for the discretization error in the solutions to Poisson's equation whose right-hand side belongs to a Korobov class. Compared to the well-known Korobov estimate, the order is almost doubled and has an ultimate value in the power scale.
Key words: discretization of Poisson's equation, estimates of the discretization error sharp in the power scale, number-theoretic methods.
Received: 12.01.2004
Revised: 07.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 9, Pages 1515–1525
DOI: https://doi.org/10.1134/S0965542506090053
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: E. A. Bailov, N. Temirgaliev, “Discretization of the solutions to Poisson's equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1594–1604; Comput. Math. Math. Phys., 46:9 (2006), 1515–1525
Citation in format AMSBIB
\Bibitem{BaiTem06}
\by E.~A.~Bailov, N.~Temirgaliev
\paper Discretization of the solutions to Poisson's equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 9
\pages 1594--1604
\mathnet{http://mi.mathnet.ru/zvmmf412}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287660}
\elib{https://elibrary.ru/item.asp?id=9276145}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 9
\pages 1515--1525
\crossref{https://doi.org/10.1134/S0965542506090053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749037130}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf412
  • https://www.mathnet.ru/eng/zvmmf/v46/i9/p1594
    • This publication is cited in the following 5 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:509
    Full-text PDF :280
    References:56
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024