Superconvergence of numerical solutions to Volterra integral equations with singularities

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	Superconvergence of numerical solutions to Volterra integral equations with singularities
	Hu, QY
	1997-10-01
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	34 期号:5 页码:1698-1707
摘要	In this paper we discuss the beta-polynomial discrete collocation method (based on practical meshes) for Volterra integral equations with weakly singular kernels. It will be shown that superconvergence properties may be obtained by using appropriate collocation parameters and by a simple, cheap postprocessing of the original discrete collocation solution.
关键词	weakly singular integral equation beta-derivative beta-polynomial discrete collocation corrected quasi-graded meshes higher-order interpolation superconvergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1997XZ15000002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28932
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, QY
作者单位	CHINESE ACAD SCI,MATH INST,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Hu, QY. Superconvergence of numerical solutions to Volterra integral equations with singularities[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,1997,34(5):1698-1707.
APA	Hu, QY.(1997).Superconvergence of numerical solutions to Volterra integral equations with singularities.SIAM JOURNAL ON NUMERICAL ANALYSIS,34(5),1698-1707.
MLA	Hu, QY."Superconvergence of numerical solutions to Volterra integral equations with singularities".SIAM JOURNAL ON NUMERICAL ANALYSIS 34.5(1997):1698-1707.