求解第二型Fredholm积分方程的迭代快速小波Petrov-Galerkin方法  

Iterated fast wavelet Petrov-Galerkin methods for Fredholm integral equations of the second kind

作　　者：于丹丹 燕敦验 YU Dandan;YAN Dunyan(School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]中国科学院大学数学科学学院,北京100190

出　　处：《中国科学院大学学报（中英文）》2023年第3期289-296,共8页Journal of University of Chinese Academy of Sciences

基　　金：Supported by National Natural Foundation of China(11871452,12071052)。

摘　　要：给出求解带光滑核的第二型Fredholm积分方程的迭代快速小波Petrov-Galerkin方法,并分析该方法的收敛性以及计算复杂度,证明该方法可达到超收敛阶。In this paper,we develop an iterated fast Petrov-Galerkin method for Fredholm integral equations of the second kind with the smooth kernel.The corresponding convergence and the computational complexity are analyzed.Super-convergence can be achieved.

关 键 词：Petrov-Galerkin方法 积分方程 超收敛 迭代法 

分 类 号：O175.5[理学—数学] O241[理学—基础数学]