第二类Fredholm积分方程全离散M-Galerkin的外推算法（英文）  

Extrapolation of Discrete M-Galerkin Methods for Fredholm Integral Equations of the Second Kind

作　　者：戈承超 隆广庆[1] 

机构地区：[1]广西师范学院数学与统计科学学院,广西南宁530023

出　　处：《广西师范学院学报（自然科学版）》2016年第3期7-14,共8页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：the National Natural Science Foundation of China(11461011);Guangxi University of Science and Technology Research Key Project(ZD201480);the Innovation Project of Guangxi Graduate Education(YCSZ2014185)

摘　　要：分析了第二类Fredholm积分方程迭代离散多投影方法逼近解的渐进误差展开,证明了在光滑条件下逼近解具有项h^(4r)到项h^(7r)的一个误差展开,在这些渐进展开式中,算法可以通过每一次Richardson外推使得收敛阶以h2增长.In this paper,we analyze the asymptotic error expansion for the approximation solution obtained by iterated discrete multi-projection methods for Fredhlom integral equations of the second kind.We show that under some smoothness conditions the approximation solution admits an error expansion in even powers of h beginning with term h^（4r） to termh^（7r）.Under these expansions,the order of convergence can be increased by two further powers of h by Richardson extrapolation.

关 键 词：积分方程 M-Galerkin方法 RICHARDSON外推 

分 类 号：O175.3[理学—数学]