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Matematicheskie Trudy, 2011, Volume 14, Number 2, Pages 173–188 (Mi mt220)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic analysis of boundary conditions for quintic splines

S. S. Primakovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: In this article, we consider various boundary conditions for interpolation of quintic splines of defect 1 on a uniform mesh. We obtain an asymptotic representation of the approximation error for the spline for different boundary conditions. Boundary conditions that are optimal by approximation accuracy are found.
Key words: quintic spline, spline-interpolation, boundary conditions.
Received: 21.03.2011
English version:
Siberian Advances in Mathematics, 2012, Volume 22, Issue 4, Pages 275–286
DOI: https://doi.org/10.3103/S1055134412040049
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: S. S. Primakov, “Asymptotic analysis of boundary conditions for quintic splines”, Mat. Tr., 14:2 (2011), 173–188; Siberian Adv. Math., 22:4 (2012), 275–286
Citation in format AMSBIB
\Bibitem{Pri11}
\by S.~S.~Primakov
\paper Asymptotic analysis of boundary conditions for quintic splines
\jour Mat. Tr.
\yr 2011
\vol 14
\issue 2
\pages 173--188
\mathnet{http://mi.mathnet.ru/mt220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2961773}
\elib{https://elibrary.ru/item.asp?id=17025634}
\transl
\jour Siberian Adv. Math.
\yr 2012
\vol 22
\issue 4
\pages 275--286
\crossref{https://doi.org/10.3103/S1055134412040049}
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    • 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
    		Математические труды Siberian Advances in Mathematics
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    References:69
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