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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 4, Pages 146–153
(Mi vuu198)
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This article is cited in 6 scientific papers (total in 6 papers)
COMPUTER SCIENCE
On application of special multivariate splines of any degree in the numerical analysis
V. I. Rodionov Faculty of Information Technologies and Computer Engineering, Udmurt State University, Izhevsk, Russia
Abstract:
We give the basis and procedure of construction of special multivariate splines of any degree of Lagrange's type, named by $\lambda $-splines. They are under construction from multivariate interpolated algebraic polynomials of the fixed degree set on simplexes of special triangulation of a range of definition of initial function.
Keywords:
interpolation, approximation, multivariate spline, simplex, barycentric coordinate system.
Received: 16.07.2010
Citation:
V. I. Rodionov, “On application of special multivariate splines of any degree in the numerical analysis”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 4, 146–153
Linking options:
https://www.mathnet.ru/eng/vuu198 https://www.mathnet.ru/eng/vuu/y2010/i4/p146
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Abstract page: | 295 | Full-text PDF : | 188 | References: | 34 | First page: | 1 |
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