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, 2010, Volume 50, Number 2, Pages 211–220 (Mi zvmmf4820)  
This article is cited in 2 scientific papers (total in 2 papers)

On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle

A. V. Meleshkina

Saratov State University, Astrakhanskaya ul. 83, Saratov, 410012 Russia
Full-text PDF (206 kB) Citations (2)
References:
PDF
HTML
Abstract: Bounds on the deviation of the directional derivatives of the Hermite polynomial in the directions of a triangle sides are obtained; it is proved that these bounds are sharp. As a consequence, bounds on the deviations of the partial derivatives up to the third order inclusive are obtained.
Key words: interpolation Hermite polynomial on a triangle, approximation of derivatives, bounds on the approximation error.
Received: 29.08.2008
Revised: 29.08.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 2, Pages 201–210
DOI: https://doi.org/10.1134/S0965542510020016
Bibliographic databases:
Document Type: Article
UDC: 519.652.2
Language: Russian
Citation: A. V. Meleshkina, “On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 211–220; Comput. Math. Math. Phys., 50:2 (2010), 201–210
Citation in format AMSBIB
\Bibitem{Mel10}
\by A.~V.~Meleshkina
\paper On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 2
\pages 211--220
\mathnet{http://mi.mathnet.ru/zvmmf4820}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2681146}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010CMMPh..50..201M}
\transl
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 2
\pages 201--210
\crossref{https://doi.org/10.1134/S0965542510020016}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000277336800001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77950487646}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf4820
  • https://www.mathnet.ru/eng/zvmmf/v50/i2/p211
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:535
    Full-text PDF :205
    References:61
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024