摘要
证明了推广的积分中值定理的“中间点”ξ的渐近性质,推导出一种只调用一个节点上的函数值的单节点数值积分法,并给出了“中间点”ξ的范围,最后给出数值积分算例,并说明精度高和估差估计简单的优点.
In this paper, the asymptotic property of 'the mean point' ζ of the extended mean - value theorem of integral is proved. A method of numerical integration is derived which uses only one integral function value on the single node. The rang of ζ can also be determined. Finally, the advantages of percision over other methods and the range of ζ are shown in the examples.
出处
《北方工业大学学报》
1993年第3期14-23,共10页
Journal of North China University of Technology
关键词
数值积分
余项
误差
积分中值定理
numerical integration, remainder, error, precision
