| 一类奇性积分方程的多尺度配置快速算法 |
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| 引用本文： | 张永东,陈仲英.一类奇性积分方程的多尺度配置快速算法[J].东北数学,2006,22(2):206-218. |
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| 作者姓名： | 张永东 陈仲英 |
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| 作者单位： | Department of Scientific Computing Zhongshan University Guangzhou，510275，Department of Scientific Computing Zhongshan University，Guangzhou，510275 |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
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| 摘 要： | This paper develops fast multiscale collocation methods for a class of Fredholm integral equations of the second kind with singular kernels. A truncation strategy for the coefficient matrix of the corresponding discrete system is proposed, which forms a basis for fast algorithms. The convergence, stability and computational complexity of these algorithms are analyzed.
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| 关 键 词： | 配置方法 单积分方程 矩阵系数 离散系统 |
Fast Multiscale Collocation Methods for a Class of Singular Integral Equations |
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| ZHANG Yong-dong,CHEN Zhong-ying.Fast Multiscale Collocation Methods for a Class of Singular Integral Equations[J].Northeastern Mathematical Journal,2006,22(2):206-218. |
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| Authors: | ZHANG Yong-dong CHEN Zhong-ying |
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| Institution: | Department of Scientific Computing, Zhongshan University, Guangzhou, 510275 |
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| Abstract: | This paper develops fast multiscale collocation methods for a class of Fredholm integral equations of the second kind with singular kernels. A truncation strategy for the coefficient matrix of the corresponding discrete system is proposed, which forms a basis for fast algorithms. The convergence, stability and computational complexity of these algorithms are analyzed. |
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| Keywords: | multiscale method collocation method singular integral equation |
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