Year: 2012
Author: Yingxiang Xu, Lü-Tai Guan, Weizhi Xu
Communications in Mathematical Research , Vol. 28 (2012), Iss. 2 : pp. 159–172
Abstract
Consider a kind of Hermit interpolation for scattered data of 3D by trivariate polynomial natural spline, such that the objective energy functional (with natural boundary conditions) is minimal. By the spline function methods in Hilbert space and variational theory of splines, the characters of the interpolation solution and how to construct it are studied. One can easily find that the interpolation solution is a trivariate polynomial natural spline. Its expression is simple and the coefficients can be decided by a linear system. Some numerical examples are presented to demonstrate our methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19059
Communications in Mathematical Research , Vol. 28 (2012), Iss. 2 : pp. 159–172
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: scattered data Hermit interpolation natural spline.