| 一类二维样条函数的最佳误差估计 |
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| 引用本文： | 唐月红,许有信.一类二维样条函数的最佳误差估计[J].南京航空航天大学学报,1993,25(4):568-574. |
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| 作者姓名： | 唐月红 许有信 |
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| 作者单位： | 南京航空航天大学数理力学系
(唐月红)，南京航空航天大学数理力学系(许有信) |
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| 摘 要： | 本文对一类非均匀二维插值样条的研究,得出了矩形域R上双三次插值样条函数x(u,w),当满足条件时,在矩形域R边界上节点处的三阶和四阶混合偏导数的估计式,推广了均匀分划情形的结果,获得了精确的误差估计。
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| 关 键 词： | 应用数学 样条插值 插值法 误差 |
Optimal Error Estimation of a Class of Two-Dimensional Spline Interpolation Function |
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| Tang Yuehong Xu Youxin.Optimal Error Estimation of a Class of Two-Dimensional Spline Interpolation Function[J].Journal of Nanjing University of Aeronautics & Astronautics,1993,25(4):568-574. |
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| Authors: | Tang Yuehong Xu Youxin |
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| Institution: | Department of Applied Mathematics .Physics & Mechanics |
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| Abstract: | In this paper,a class of non-uniform two-dimensional interpolation splines are studied. Let x(u,w) be the bi-cubic spline function,if it is satisfied thatthen the estimation equations of its third and fourth mixed partial derivatives are derived at the knots of boundary of rectangular R ,from which the results based on uniform division are developed and accurate error estimates are obtained. |
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| Keywords: | applied mathematics spline interpolation interpolation methods non-uniform division error estimation |
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