| 迭代离散Galerkin方法求解特征值问题的数值实现 |
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| 引用本文： | 谭蔼美. 迭代离散Galerkin方法求解特征值问题的数值实现[J]. 广西师范学院学报（自然科学版）, 2013, 0(4): 32-38 |
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| 作者姓名： | 谭蔼美 |
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| 作者单位： | 广西师范学院数学科学学院,广西南宁530023 |
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| 摘 要： | 针对光滑核的积分算子特征值问题建立离散Galerkin、迭代离散Galerkin方法。同时，提出迭代离散Galerkin方法求解特征值问题的算法。最后给出一个数值算例充分说明算法的有效性及数值结果与理论误差一致。
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| 关 键 词： | 离散Galerkin方法 迭代离散Galerkin方法 Nystrom方法 数值积分 |
A Numerical Implementation of Iterated Discrete Galerkin Methods for Eigen-problems |
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| TAN Ai-mei. A Numerical Implementation of Iterated Discrete Galerkin Methods for Eigen-problems[J]. Journal of Guangxi Teachers College(Natural Science Edition), 2013, 0(4): 32-38 |
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| Authors: | TAN Ai-mei |
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| Affiliation: | TAN Ai-mei (School of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, China) |
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| Abstract: | We develop discrete Galerkin and iterated discrete Galerkin methods for eigen-problems of an integral operator with smooth kernel functions .We propose the algorithm steps of the iterated discrete Galerkin method for solving eigen-problems .A numerical example is presented to fully demonstrate the validity of algorithms and numer-ical results that coincide with theoretical values . |
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| Keywords: | discrete Galerkin method iterated discrete Galerkin method Nystr？m method numerical quadra-ture |
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