| 具有最佳收敛性的积分方程小波配置算法 |
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| 引用本文： | 隆广庆,邓小炎.具有最佳收敛性的积分方程小波配置算法[J].广西师范学院学报(自然科学版),2006,23(1):1-7,14. |
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| 作者姓名： | 隆广庆 邓小炎 |
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| 作者单位： | 广西师范学院,数学与计算机科学系,广西,南宁,530001;华中农业大学,理学院,武汉,430070 |
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| 基金项目： | China Postdoctorate Science Foundation（2005037603） ; Guangxi Sciences Foundation（0575052） ; Program for 100 Young and Middle-aged Discipliary Leaders in Guangxi Higher Education Institutions; Youth Foundation of Guangxi Teachers Education University（20021127） |
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| 摘 要： | 通过调整截断参数,构造具有弱奇异核或者奇异核的第二类积分方程小波快速算法,并证明算法具有最佳收敛阶,同时,复杂度仍保持几乎最佳.
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| 关 键 词： | 小波 截断参数 最佳收敛性 |
| 文章编号： | 1002-8743（2006）01-0001-07 |
| 收稿时间： | 2005-11-25 |
| 修稿时间： | 2005-11-25 |
Fast Collocation Algorithms for Integral Equations with Optimal Order of Convergence |
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| LONG Guang-qing,DENG Xiao-yan.Fast Collocation Algorithms for Integral Equations with Optimal Order of Convergence[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2006,23(1):1-7,14. |
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| Authors: | LONG Guang-qing DENG Xiao-yan |
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| Institution: | 1 .Department of Mathematics, Guangxi Normal College, Nanning 530001, China; 2. College of Basic Sciences, Huazhong Agriculture University, Wuhan 430070, China |
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| Abstract: | In this paper we develop a new truncation parameter for fast wavelet collocation methods,which is not only suitable to integral equations of second kind with weakly singular kernel,but also suitable to singular kernel.We show our methods have the optimal order of convergence while retaining the almost optimal computational complexity. |
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| Keywords: | collocation optimal order truncation strategy |
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