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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
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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.
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 中国科学院大学数学科学学院
出处 《中国科学院大学学报（中英文）》 CSCD 北大核心 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)。
关键词 Petrov-Galerkin方法 积分方程 超收敛 迭代法 Petrov-Galerkin method integral equation super convergence iterated method
分类号 O175.5 [理学—基础数学] O241 [理学—计算数学]
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参考文献1

  • 1WANG Bo1,WANG Rui2 & XU YueSheng3,4,1Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China,2School of Information Science and Engineering,Graduate University of the Chinese Academy of Sciences,Beijing 100190,China,3Department of Mathematics,Syracuse University,Syracuse,NY 13244,USA,4Department of Scientific Computing and Computer Applications,Sun Yat-sen University,Guangzhou 510275,China.Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs[J].Science China Mathematics,2010,53(1):1-22. 被引量：3

二级参考文献26

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共引文献2

中国科学院大学学报（中英文）
2023年 第3期

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