| 一类仅和积分区间端点有关的求积公式 |
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| 引用本文： | 刘长安.一类仅和积分区间端点有关的求积公式[J].西安工业学院学报,1999,19(3). |
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| 作者姓名： | 刘长安 |
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| 作者单位： | 西安工业学院计算机科学与工程系!陕西西安，710032 |
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| 摘 要： | 利用具有两个ｎ＋ １ 重结点的Ｈｅｒｍｉｔｅ 插值公式导出一类新的求积公式，这类求积公式仅和被积函数在积分区间两个端点上的函数值导数值有关．如果被积函数及其各阶导数在端点上的值容易计算，利用这类求积公式能获得较好的结果．
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| 关 键 词： | 数值积分 Hermite插值 导数 端点 |
A type of integrating formula only with relation to extreme points of integration interval |
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| LIU Chang-an.A type of integrating formula only with relation to extreme points of integration interval[J].Journal of Xi'an Institute of Technology,1999,19(3). |
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| Authors: | LIU Chang-an |
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| Abstract: | By means of the Hermite interpolat formula with two of n 1 nodes,a new type of integrating formulas is proposed,and the formulas only contract with the derivative extreme points of integration interval of derived function . The results shown when the derive function and the every derivative on extreme points are calculated easily ,the calculative accuracy is satisfactory. |
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| Keywords: | numberical integration Hermite interpolation derivative extreme points |
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