| 紧积分算子多项式多投影谱逼近 |
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| 引用本文： | 唐帅,隆广庆.紧积分算子多项式多投影谱逼近[J].广西师院学报,2009(3):15-20. |
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| 作者姓名： | 唐帅 隆广庆 |
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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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| 基金项目： | 中国博士后科学基金（2005037603）;广西科学青年基金（0728044）;广西教育厅科学基金;广西师范学院基础研究基金 |
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| 摘 要： | 讨论紧积分算子的多项式多投影算法的超收敛性．首先给出算法的一般理论框架．其次分别将算法应用到Galerkin情形和配置法情形，并证明当核函数具有一定光滑性时，算法求出的特征值和谱空间具有超收敛性，体现出算法的优越性．
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| 关 键 词： | 特征值问题 多投影算法 多项式空间 超收敛 |
Spectral Approximation of Compact Integral Operators via a Polynomial Multi-projection Method |
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| TANG Shuai,LONG Guang-qing.Spectral Approximation of Compact Integral Operators via a Polynomial Multi-projection Method[J].Journal of Guangxi Teachers College(Natural Science Edition),2009(3):15-20. |
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| Authors: | TANG Shuai LONG Guang-qing |
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| Institution: | (College of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, China) |
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| Abstract: | In this paper, we discuss the super-convergence of the polynomial multi-projection method for compact integral operators. We firstly give a general abstract framework of our methods, then apply our polynomial multi-projection methods to Galerkin and Collocation versions. For an integral operator with a smooth kernel, using our method, we show that the approximation eigenvalues and spectral subspaee exhibit super-convergence. |
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| Keywords: | eigenvalue problem multi-projection polynomial space super-convergence |
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