| OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES |
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| 引用本文： | 马万,房艮孙. OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES[J]. 数学物理学报(B辑英文版), 2004, 24(2): 228-234. DOI: 10.1016/S0252-9602(17)30379-X |
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| 作者姓名： | 马万 房艮孙 |
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| 作者单位： | [1]DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,China [2]DepartmentofMathematics,WenzhouUniversity,Wenzhou325035,China |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研项目 |
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| 摘 要： | This paper determines the exact error order on optimization of adaptive directmethods of approximate solution of the class of Fredholm integral equations of the secondkind with kernel belonging to the anisotropic Sobolev classes, and also gives an optimalalgorithm.
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| 关 键 词： | 近似解 自适应直接法 积分方程 Sobolev类 |
| 收稿时间： | 2002-03-25 |
OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES |
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| Ma Wan. OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES[J]. Acta Mathematica Scientia, 2004, 24(2): 228-234. DOI: 10.1016/S0252-9602(17)30379-X |
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| Authors: | Ma Wan |
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| Abstract: | This paper determines the exact error order on optimization of adaptive direct methods of approximate solution of the class of Fredholm integral equations of the second kind with kernel belonging to the anisotropic Sobolev classes, and also gives an optimal algorithm. |
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| Keywords: | Integral equations direct methods anisotropic sobolev classes |
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