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The General Problem of Polynomial Spline Interpolation Full article

Journal Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605
Output data Year: 2018, Volume: 300, Number: S1, Pages: S187-S198 Pages count : 12 DOI: 10.1134/s0081543818020190
Tags polynomial splines, interpolation, construction algorithms
Authors Volkov Yu.S. 1,2
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090 Russia
2 Novosibirsk State University, Novosibirsk, 630090 Russia

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.
Cite: Volkov Y.S.
The General Problem of Polynomial Spline Interpolation
Proceedings of the Steklov Institute of Mathematics. 2018. V.300. NS1. P.S187-S198. DOI: 10.1134/s0081543818020190 WOS Scopus РИНЦ OpenAlex
Original: Волков Ю.С.
Общая задача полиномиальной сплайн-интерполяции
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2016. Т.22. №4. С.114-125. DOI: 10.21538/0134-4889-2016-22-4-114-125 WOS РИНЦ OpenAlex
Identifiers:
≡ Web of science: WOS:000433518400017
≡ Scopus: 2-s2.0-85047559120
≡ Elibrary: 35489735
≡ OpenAlex: W2804709752
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