矩形域上非正常积分的一种数值算法  

A Numerical Algorithm of Singular Integrals over Rectangular Domains

作　　者：郭森林[1] 张新育[2] 杨松华[2] 

机构地区：[1]郑州纺织工学院基础部,河南郑州450007 [2]郑州工业大学数理力学系,河南郑州450002

出　　处：《郑州工业大学学报》1999年第4期101-102,共2页Journal of Zhengzhou University of Technology

基　　金：河南省自然科学基金

摘　　要：给出了矩形域上一顶点为奇点的非正常积分的近似计算以及优化中心数值算法，此种算法避免了函数值的大量重复计算，采用外推法减少了迭代次数，可尽快达到符合精度要求的近似值，且提出的优化数值算法便于在计算机上进行计算．An optimum numerical algorithm of center rule for approximate evaluation of singular integrals over rectangular domains with a vertex singularity is presented.With this algorithm,functional values of the integrals can be avoided from being computed repeatedly.Iterative numbers are reduced with extrapolative method,so desirable approximate value of the integral is obtained more rapidly.It is easy to compute the integrals in computers with the optimum algorithm presented in this paper.

关 键 词：非正常积分 近似计算 中心算法 矩形域 数值算法 

分 类 号：O241.4[理学—计算数学]