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| 基于三点插值的数值积分新算法及程序设计 | |
| 引用本文： | 汤彬,周蓉生,周书民.基于三点插值的数值积分新算法及程序设计[J].科技广场,2005(5):4-8. |
| 作者姓名： | 汤彬 周蓉生 周书民 |
| 作者单位： | 1. 东华理工学院,抚州,344000;成都理工大学,成都,610059 2. 成都理工大学,成都,610059 3. 东华理工学院,抚州,344000 |
| 摘 要： | 本文利用三点插值函数近似表达被积函数，构造梯形求积公式和Simpson求积公式，并在此基础上提出了一种快速数值积分的新算法，即自适应步长三点插值型数值积分算法。该算法在按步骤处理节点的过程中，每步仅产生一个新节点，其它节点(老节点)都是以前各步产生的，因此可构成递推公式。本文还讨论了该算法的程序设计问题，并给出了程序设计框图。 |
| 关 键 词： | 三点插值 数值积分 自适应步长 新节点 程序设计 |
| 文章编号： | 1671-4792-(2005)05-0089-05 |
The New Numerical Integral Algorithm and Program Based on Three-point Interpolation |
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| Tang Bin,Zhou Rongsheng,Zhou Shumin.The New Numerical Integral Algorithm and Program Based on Three-point Interpolation[J].Science Mosaic,2005(5):4-8. | |
| Authors: | Tang Bin Zhou Rongsheng Zhou Shumin |
| Abstract: | The paper discussed the method which present the integral function by three-point interpolation , construction of trapezium integral formula and Simpson integral formula. The adaptive step size three-point interpolation integral algorithm is proposed. In this new fast numerical integral algorithm ,only one new node created in the process of disposing nodes according to the nodes approach, the other nodes was created in forward approach, so the recursive formula could be constructed. The programming and the flow chart was presented in the paper. |
| Keywords: | Three-point interpolation Numerical integral Adaptive step size New node Programming |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |