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 9, Pages 1673–1684 (Mi zvmmf115)  
This article is cited in 9 scientific papers (total in 9 papers)

Refined-mesh interpolation method for functions with a boundary-layer component

A. I. Zadorin

Omsk Branch of the Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia
Full-text PDF (1046 kB) Citations (9)
References:
PDF
HTML
Abstract: Linear and quadratic spline interpolation methods for a one-variable function with a boundary-layer component are examined. It is shown that the interpolation method for such a function leads to considerable errors when applied on a uniform mesh. The error of linear and quadratic spline interpolations on meshes that are refined in the boundary layer is estimated. Numerical results are presented.
Key words: refined-mesh interpolation methods, function with a boundary-layer component, spline interpolation of functions of one variable.
Received: 27.11.2007
Revised: 26.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1634–1645
DOI: https://doi.org/10.1134/S0965542508090121
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. I. Zadorin, “Refined-mesh interpolation method for functions with a boundary-layer component”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1673–1684; Comput. Math. Math. Phys., 48:9 (2008), 1634–1645
Citation in format AMSBIB
\Bibitem{Zad08}
\by A.~I.~Zadorin
\paper Refined-mesh interpolation method for functions with a~boundary-layer component
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2008
\vol 48
\issue 9
\pages 1673--1684
\mathnet{http://mi.mathnet.ru/zvmmf115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500118}
\transl
\jour Comput. Math. Math. Phys.
\yr 2008
\vol 48
\issue 9
\pages 1634--1645
\crossref{https://doi.org/10.1134/S0965542508090121}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262334900012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52949143422}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf115
  • https://www.mathnet.ru/eng/zvmmf/v48/i9/p1673
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024