期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

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
下载PDF
导出
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—数学] O241 [理学—基础数学]
  • 相关文献

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

  • 1陈仲英,巫斌,许跃生.MULTILEVEL AUGMENTATION METHODS FOR SOLVING OPERATOR EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2005,14(1):31-55. 被引量：4
  • 2Zhongying Chen,Bin Wu,Yuesheng Xu.Multilevel augmentation methods for differential equations[J]. Advances in Computational Mathematics . 2006 (1-4) 被引量：1
  • 3A. Iserles,S. P. N?rsett.On Quadrature Methods for Highly Oscillatory Integrals and Their Implementation[J]. BIT Numerical Mathematics . 2004 (4) 被引量：1
  • 4Y. Xu,H.-L. Chen,Q. Zou.Limit Values of Derivatives of the Cauchy Integrals and Computation of the Logarithmic Potentials[J]. Computing . 2004 (4) 被引量：1
  • 5S. Joe,Y. Yan.A piecewise constant collocation method using cosine mesh grading for Symm’s equation[J]. Numerische Mathematik . 1993 (1) 被引量：1
  • 6Cai H,Xu Y.A fast Fourier-Galerkin method for solving singular boundary integral equations. SIAM Journal on Numerical Analysis . 2008 被引量：1
  • 7Jiang Y,Xu Y.Fast discrete algorithms for sparse Fourier expansions of high dimensional functions. Journal of Complexity . 2010 被引量：1
  • 8Jiang Y,Xu Y.Fast Fourier-Galerkin methods for solving singular boundary integral equations: numerical integration and precondition. Journal of Computational and Applied Mathematics . 被引量：1
  • 9Prssdorf S,Saranen J,Sloan I.A discrete method for the logarithmic-kernel integral equation on an open arc. Journal of the Australian Mathematical Society . 1993 被引量：1
  • 10Sloan I,Stephan E.Collocation with Chebyshev polynomials for Symm’s integral equation on an interval. Journal of the Australian Mathematical Society . 1992 被引量：1

共引文献2

中国科学院大学学报（中英文）
2023年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部