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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 1, Pages 111–121
(Mi sjvm272)
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This article is cited in 6 scientific papers (total in 6 papers)
Local $\mathcal L$-splines preserving the differential operator kernel
E. V. Shevaldina Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
In this paper, the local $\mathcal L$-splines of odd order with uniform nodes are constructed. These splines preserve basic functions from the kernel of the linear differential operator $\mathcal L$ with constant real coefficients and pairwise different roots of a characteristic polynomial. The pointwise error estimation of an approximation value using constructed splines on appropriate classes of differentiable functions is given.
Key words:
local $\mathcal L$-splines, differential operator, the error of an approximation.
Received: 18.12.2008 Revised: 25.03.2009
Citation:
E. V. Shevaldina, “Local $\mathcal L$-splines preserving the differential operator kernel”, Sib. Zh. Vychisl. Mat., 13:1 (2010), 111–121; Num. Anal. Appl., 3:1 (2010), 90–99
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https://www.mathnet.ru/eng/sjvm272 https://www.mathnet.ru/eng/sjvm/v13/i1/p111
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Abstract page: | 370 | Full-text PDF : | 81 | References: | 45 | First page: | 4 |
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