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Volume 8, Issue 2
Bivariate Polynomial Natural Spline Interpolation to Scattered Data

Yue-Sheng Li & Lü-Tai Guan

J. Comp. Math., 8 (1990), pp. 135-146.

Published online: 1990-08

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  • Abstract

By means of the theory of spline interpolation in Hilbert spaces, the bivariate polynomial natural spline interpolation to scattered data is constructed. The method can easily be carried out on a computer, and parallelly generalized to high dimensional cases as well. The results can be used for numerical integration in higher dimensions and numerical solution of partial differential equations, and so on.

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@Article{JCM-8-135, author = {Li , Yue-Sheng and Guan , Lü-Tai}, title = {Bivariate Polynomial Natural Spline Interpolation to Scattered Data}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {2}, pages = {135--146}, abstract = {

By means of the theory of spline interpolation in Hilbert spaces, the bivariate polynomial natural spline interpolation to scattered data is constructed. The method can easily be carried out on a computer, and parallelly generalized to high dimensional cases as well. The results can be used for numerical integration in higher dimensions and numerical solution of partial differential equations, and so on.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9427.html} }
TY - JOUR T1 - Bivariate Polynomial Natural Spline Interpolation to Scattered Data AU - Li , Yue-Sheng AU - Guan , Lü-Tai JO - Journal of Computational Mathematics VL - 2 SP - 135 EP - 146 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9427.html KW - AB -

By means of the theory of spline interpolation in Hilbert spaces, the bivariate polynomial natural spline interpolation to scattered data is constructed. The method can easily be carried out on a computer, and parallelly generalized to high dimensional cases as well. The results can be used for numerical integration in higher dimensions and numerical solution of partial differential equations, and so on.

Yue-Sheng Li & Lü-Tai Guan. (1970). Bivariate Polynomial Natural Spline Interpolation to Scattered Data. Journal of Computational Mathematics. 8 (2). 135-146. doi:
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