| 多元积分方程自适应解法的优化 |
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| 引用本文： | 马万,王兴华.多元积分方程自适应解法的优化[J].数学学报,2005,48(3):617-620. |
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| 作者姓名： | 马万 王兴华 |
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| 作者单位： | 温州大学数学与信息科学学院 温州325035
(马万)，温州大学数学与信息科学学院 温州325035(王兴华) |
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| 基金项目： | 国家重点基础研究专项经费(19990328)
浙江省自然科学基金资助项目(100002) |
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| 摘 要： | 考虑核属于各向异性的Sobolev类的积分方程自适应直接方法的优化,得到误差阶的精确估计及相应的最优方法.
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| 关 键 词： | 积分方程 直接方法 各向异性Sobolev类 |
Optimization of Approximate Solution of Integral Equations of Several Variables |
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| Wan MA Xing Hua WANG College of Mathematics and Information Technology,Wenzhou University,Wenzhou ,P. R. China.Optimization of Approximate Solution of Integral Equations of Several Variables[J].Acta Mathematica Sinica,2005,48(3):617-620. |
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| Authors: | Wan MA Xing Hua WANG College of Mathematics and Information Technology Wenzhou University Wenzhou P R China |
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| Institution: | Wan MA Xing Hua WANG College of Mathematics and Information Technology, Wenzhou University, Wenzhou 325035, P. R. China |
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| Abstract: | In this paper, we consider the problem of optimization of adaptive direct methods of operator equations. For some classes of the second kind Fredhlom integral equations with anisotropic smooth kernels, we determine the exact order of the error of adaptive direct methods, and also give an optimal algorithm. |
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| Keywords: | Integral equations Direct methods Anisotropic Sobolev classes |
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