摘要
从一个插值公式的构造出发,得到相应的积分中值定理,构造了具有5次代数精度的数值积分公式,通过对积分中值定理中间点的渐近性质的分析,得到具有7次代数精度的数值积分公式,应用复化求积,进一步改进了这个公式,使它具有高精度且不用计算导数.
Base on a interpolation formula, the mean value theorem for integral is given, and the first numerical integration formula which has 5-order algebra accuracy is presented. Asymptotic property for the location of medium point to contain within remainder term is determined, the second correct formula with respect to the formula is given. It has 7-order algebra accuracys. Using the compond for- mula, the third correct formula is also presented, It has high accuracy and without derivative.
出处
《武汉理工大学学报（交通科学与工程版）》
2013年第2期408-411,共4页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
基金
国家自然科学基金项目(批准号:60904005)
湖北省自然科学基金项目(批准号:2009CDB026)资助
关键词
插值公式
积分中值定理
中间点
渐近性
数值求积公式
高精度
导数
interpolation formula
the mean value theorem for integral
medium point
asymptotic property
numerical integration formula
high order accuracy
derivative
