Differentiation and numerical integral of the cubic spline interpolation

被引：4
|
作者：
Gao S. [1 ]
Zhang Z. [2 ]
Cao C. [2 ]
机构：
[1] School of Computer Science and Technology, Jiangsu University of Science and Technology
[2] Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences
来源：
Journal of Computers | 2011年 / 6卷 / 10期
关键词：
First derivative; Index terms-cubic spline function; Numerical differentiation; Numerical integral; Second derivative;
D O I：
10.4304/jcp.6.10.2037-2044
中图分类号：
学科分类号：
摘要：
Based on analysis of cubic spline interpolation, the differentiation formulas of the cubic spline interpolation on the three boundary conditions are put up forward in this paper. At last, this calculation method is illustrated through an example. The numerical results show that the spline numerical differentiations are quite effective for estimating first and higher derivatives of equally and unequally spaced data. The formulas based on cubic spline interpolation solving numerical integral of discrete function are deduced. The degree of integral formula is n=3. The formulas has high accuracy. At last, these calculation methods are illustrated through examples. © 2011 ACADEMY PUBLISHER.
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页码：2037 / 2044
页数：7
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