| 由无限可微核及自由项确定的Fredholm积分方程自适应？… |
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| 引用本文： | 马万 房艮孙. 由无限可微核及自由项确定的Fredholm积分方程自适应？…[J]. 北京师范大学学报(自然科学版), 2000, 36(1): 21-24 |
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| 作者姓名： | 马万 房艮孙 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 研究了由无限可微核及自由项所确定的第二类Ｆｒｅｄｈｏｌｍ积分方程类自适应直接方法的优化，得到了误差阶的精确估计，并构造了最优化算法。
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| 关 键 词： | 积分方程 直接方法 最优化算法 逼近论 |
OPTIMIZATION OF ADAPTIVE DIRECT METHODS FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS WITH INFINITELY DIFFERENTIABLE KERNELS |
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| Ma Wan Fang Gensun. OPTIMIZATION OF ADAPTIVE DIRECT METHODS FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS WITH INFINITELY DIFFERENTIABLE KERNELS[J]. Journal of Beijing Normal University(Natural Science), 2000, 36(1): 21-24 |
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| Authors: | Ma Wan Fang Gensun |
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| Abstract: | The optimal adaptive direct method of approximate solution for Fredholm integral equations with infinitely differentiable kernels is studied. The exact order of optimal error is determined and the optimal algorithm is constructed. |
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| Keywords: | integral equation direct method optimization |
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