摘要
讨论了对数型奇异核小波展开的数值方法．该问题是小波Ｇａｌｅｒｋｉｎ方法数值求解对数型弱奇异积分方程的核心问题．分析了解决该问题的难点，利用小波和正交多项式建立了一系列递推关系来解决该问题．理论分析和数值例子都说明提出的递推算法是快速稳定的．
A numerical recurrence formula to calculate one dimensional singular integral with log kernel and scaling functions is presented. It is an essential problem that arises when using wavelets to discretize a type of singular integral equations. The difficulties to deal with this problem are discussed in brief, then the advantages of the relations between wavelets and orthogonal polynomials are taken to cope with this problem. At the end, the numerical results are given.
出处
《华中理工大学学报》
CSCD
北大核心
1998年第5期110-112,共3页
Journal of Huazhong University of Science and Technology
基金
国家自然科学基金
湖北省自然科学基金项目
模具技术国家重点实验室资助项目
关键词
奇异积分
边界元
小波
对数型奇异核
递推算法
singular integration
wavelets
boundary element methods
orthogonal polynomials
