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The General Problem of Polynomial Spline Interpolation Научная публикация

Журнал

Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605

Вых. Данные

Год: 2018, Том: 300, Номер: S1, Страницы: S187-S198 Страниц : 12 DOI: 10.1134/s0081543818020190

Ключевые слова

polynomial splines, interpolation, construction algorithms

Авторы

Volkov Yu.S. ^1,2

Организации

1	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090 Russia
2	Novosibirsk State University, Novosibirsk, 630090 Russia

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.

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

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

≡ Web of science:	WOS:000433518400017
≡ Scopus:	2-s2.0-85047559120
≡ РИНЦ:	35489735
≡ OpenAlex:	W2804709752