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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 4, Pages 85–103
DOI: https://doi.org/10.17377/PAM.2015.15.409
(Mi vngu388)
 

Non-classical boundary conditions for quintic spline

S. S. Primakov

Novosibirsk State University
References:
Abstract: In this article, there is a research of influence of nonclassiacal boundary conditions to approximation accuracy for interpolation of smooth function by quintic spline of defect $1$ on uniform mesh.
There was asymptotic analysis (assuming of mesh’s step fineness) of boundary conditions. Various boundary conditions are compared.
Keywords: interpolation, approximation, quintic spline, boundary conditions.
Received: 10.07.2015
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 6, Pages 883–900
DOI: https://doi.org/10.1007/s10958-017-3276-9
Document Type: Article
UDC: 519.65
Language: Russian
Citation: S. S. Primakov, “Non-classical boundary conditions for quintic spline”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:4 (2015), 85–103; J. Math. Sci., 221:6 (2017), 883–900
Citation in format AMSBIB
\Bibitem{Pri15}
\by S.~S.~Primakov
\paper Non-classical boundary conditions for quintic spline
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 4
\pages 85--103
\mathnet{http://mi.mathnet.ru/vngu388}
\crossref{https://doi.org/10.17377/PAM.2015.15.409}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 6
\pages 883--900
\crossref{https://doi.org/10.1007/s10958-017-3276-9}
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    Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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