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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 114–125
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-114-125 (Mi timm1359) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The general problem of polynomial spline interpolation

Yu. S. Volkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (214 kB) Citations (5)
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DOI: https://doi.org/10.21538/0134-4889-2016-22-4-114-125
Abstract: We study the general problem of interpolation by polynomial splines and consider the construction of such splines using the coefficients of expansion of a certain derivative in $B$-splines. We analyze the properties of the obtained systems of equations and estimate the interpolation error.
Keywords: polynomial splines, interpolation, construction algorithms.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-07530
Received: 14.06.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2018, Volume 300, Issue 1, Pages 187–198
DOI: https://doi.org/10.1134/S0081543818020190
Bibliographic databases:
Document Type: Article
UDC: 519.65
MSC: 65D07
Language: Russian
Citation: Yu. S. Volkov, “The general problem of polynomial spline interpolation”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 114–125; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 187–198
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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