| 多元积分方程自适应解法的最优化 |
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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最优化[J]. 计算数学, 2004, 26(2): 161-168 |
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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;温州大学数学与信息科学学院,温州,325035 |
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| 基金项目： | 国家重点基础研究专项经费(批准号: 19990328)，浙江省自然科学基金，温州市科技局及温州大学资助项目. |
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| 摘 要： | In this paper it was considered that problem of optimization of adaptive direct algorithm of approximate solution of integral equations. For the Fredholm integral equations of second kind with kernels belonging to Besov classes there is determined the exact order of the error of an optimal adaptive direct algorithm and a algorithm for realizing it is indicated.
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| 关 键 词： | 积分方程 Besov空间 自适应直接方法 几乎最优算法 计算复杂性 |
OPTIMIZATION OF ADAPTIVE DIRECT ALGORITHM FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS |
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| Ma Wan Wang Xinghua. OPTIMIZATION OF ADAPTIVE DIRECT ALGORITHM FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS[J]. Mathematica Numerica Sinica, 2004, 26(2): 161-168 |
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| Authors: | Ma Wan Wang Xinghua |
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| Affiliation: | Ma Wan Wang Xinghua (College of Mathematics & Information Science of Wenzhou University, Wenzhou 325035) |
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| Abstract: | In this paper it was considered that problem of optimization of adaptive direct algorithm of approximate solution of integral equations. For the Fredholm integral equations of second kind with kernels belonging to Besov classes there is determined the exact order of the error of an optimal adaptive direct algorithm and a algorithm for realizing it is indicated. |
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| Keywords: | Integral equations Besov spaces Adaptive direct methods Almost optimal algorithm Computational complexity |
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