A Note on Richardson Extrapolation of Galerkin Methods for Eigenvalue Problems of Fredholm Integral Equations

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	A Note on Richardson Extrapolation of Galerkin Methods for Eigenvalue Problems of Fredholm Integral Equations
	Qiumei Huang 1; Yidu Yang 2
	2008
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	26 期号:4 页码:598
摘要	In this paper, we introduce a new extrapolation formula by combining Richardson extrapolation and Sloan iteration algorithms. Using this extrapolation formula, we obtain some asymptotic expansions of the Galerkin finite element method for semi-simple eigenvalue problems of Fredholm integral equations of the second kind and improve the accuracy of the numerical approximations of the corresponding eigenvalues. Some numerical experiments are carried out to demonstrate the effectiveness of our new method and to confirm our theoretical results.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6920
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.贵州师范大学
推荐引用方式 GB/T 7714	Qiumei Huang,Yidu Yang. A Note on Richardson Extrapolation of Galerkin Methods for Eigenvalue Problems of Fredholm Integral Equations[J]. Journal of Computational Mathematics,2008,26(4):598.
APA	Qiumei Huang,&Yidu Yang.(2008).A Note on Richardson Extrapolation of Galerkin Methods for Eigenvalue Problems of Fredholm Integral Equations.Journal of Computational Mathematics,26(4),598.
MLA	Qiumei Huang,et al."A Note on Richardson Extrapolation of Galerkin Methods for Eigenvalue Problems of Fredholm Integral Equations".Journal of Computational Mathematics 26.4(2008):598.