| 截断策略下求解第一类积分方程离散的DSM方法 |
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| 引用本文： | 罗兴钧,陈维君,范林秀,李繁春.截断策略下求解第一类积分方程离散的DSM方法[J].计算数学,2012,34(2):139-152. |
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| 作者姓名： | 罗兴钧 陈维君 范林秀 李繁春 |
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| 作者单位： | 1. 赣南师范学院数学与计算机科学学院, 江西赣州 341000;
2. 江西应用技术职业学院 基础教学部, 江西赣州 341000 |
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| 基金项目： | 国家自然科学基金资助项目，江西省自然科学基金资助项目，江西省教育厅科学技术研究资助项目 |
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| 摘 要： | 本文用多尺度投影方法求解离散的DSM问题,与传统全投影方法相比, 减少了内积计算个数, 保持了最优收敛率.最后, 算例说明了算法的有效性.
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| 关 键 词： | 病态积分方程 Tikhonov 正则化 动力系统方法 多尺度投影 后验参数选择 |
| 收稿时间： | 2011-04-19; |
THE DISCRETIZATION OF THE DSM METHODS FOR SOLVING THE ILL-POSED INTEGRAL EQUATION OF THE FIRST KIND BASED ON THE TRUNCATED STRATEGY |
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| Luo Xingjun
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Chen Weijun
,
Fan Linxiu
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Li Fanchun.THE DISCRETIZATION OF THE DSM METHODS FOR SOLVING THE ILL-POSED INTEGRAL EQUATION OF THE FIRST KIND BASED ON THE TRUNCATED STRATEGY[J].Mathematica Numerica Sinica,2012,34(2):139-152. |
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| Authors: | Luo Xingjun Chen Weijun Fan Linxiu Li Fanchun |
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| Institution: | 1. School of Mathematics and computer science, GanNan Normal University, Ganzhou 341000, Jiangxi, China;
2. Department of Basic Teaching Ministry, Jiangxi Vocational College of Applied Technology, Ganzhou 341000, Jiangxi, China |
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| Abstract: | In this paper,we develop a fast multiscale projection method to solve the discretization of the DSM problem.Compared with the traditional projection technique,we keep the optimal convergence rate,but less than the number of inner products calculation.Finally, numerical experiments are given to illustrate the efficiency of the method. |
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| Keywords: | Ill-posed integral equations Tikhonov regularization multiscale projection method Dynamical systems methods A posteriori parameter choice strategy |
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