| 基于三次样条插值的列表函数的数值微分与积分 |
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| 引用本文： | 许小勇,李瑛. 基于三次样条插值的列表函数的数值微分与积分[J]. 东莞理工学院学报, 2007, 14(5): 15-18 |
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| 作者姓名： | 许小勇 李瑛 |
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| 作者单位： | 1. 云南民族大学,数学与计算机科学学院,云南昆明,650031
2. 云南民族大学,数学与计算机科学学院,云南昆明,650031;浙江理工大学,理学院,浙江杭州,310018 |
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| 摘 要： | 推导了三次样条插值在求解列表函数的数值微分与积分的公式，给出了余项估计，编写了用于求解数值微分与积分的通用程序，通过数值算例表明，三次样条在插值逼近中具有非常好的性质．
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| 关 键 词： | 三次样条 插值函数 数值微分 数值积分 |
| 文章编号： | 1009-0312（2007）05-0015-04 |
| 收稿时间： | 2007-05-16 |
Numerical Differential & Integral of Discrete Function Based on Cubic Spline Interpolation |
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| XU Xiao-yong,LI Ying. Numerical Differential & Integral of Discrete Function Based on Cubic Spline Interpolation[J]. Journal of Dongguan Institute of Technology, 2007, 14(5): 15-18 |
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| Authors: | XU Xiao-yong LI Ying |
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| Affiliation: | 1.School of Mathematics and Computer Science, Yunnan Nationalities University, Kunming 650031, China; 2. College of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| Abstract: | The formulas solving numerical differential and integral of discrete function are deduced in this paper. We estimate the error of cubic splint with the first boundary condition. The universal procedures are realized in the environment of Matlab. By numerical simulation the practicability and effectiveness are verified. It provides an easy method of using cubic splint function for solving numerical differential and integral of discrete function. |
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| Keywords: | cubic splint interpolation function numerical differential numerical integral |
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