| 矩形网格上Newton-Hermite-Thiele型切触有理插值 |
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| 引用本文： | 梁艳,唐烁.矩形网格上Newton-Hermite-Thiele型切触有理插值[J].合肥工业大学学报(自然科学版),2007,30(7):903-907. |
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| 作者姓名： | 梁艳 唐烁 |
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| 作者单位： | 合肥工业大学,理学院,安徽,合肥,230009 |
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| 基金项目： | 国家自然科学基金
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安徽省创新团队基金 |
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| 摘 要： | 文章将一元Newton-Hermite插值多项式与一元Thiele型切触有理插值结合起来,构造了一种二元混合切触有理插值公式,给出了系数算法、差商表及其误差估计。
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| 关 键 词： | 二元混合插值 切触插值 系数算法 误差估计 |
| 文章编号： | 1003-5060(2007)07-0903-05 |
| 修稿时间： | 2006年4月7日 |
Newton-Hermite-Thiele's osculatory rational interpolation over rectangular grids |
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| LIANG Yan,TANG Shuo.Newton-Hermite-Thiele''''s osculatory rational interpolation over rectangular grids[J].Journal of Hefei University of Technology(Natural Science),2007,30(7):903-907. |
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| Authors: | LIANG Yan TANG Shuo |
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| Abstract: | In this paper,Newton-Hermite's interpolation polynomials and Thiele's osculatory rational interpolating continued fractions are incorporated to construct a kind of bivariate blending osculatory rational interpolants.The coefficient algorithm is given,and the table of divided differences and the error estimation are presented. |
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| Keywords: | bivariate blending interpolation osculatory interpolation coefficient algorithm error estimation |
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