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Superconvergence of numerical solutions to Volterra integral equations with singularities
Hu, QY
1997-10-01
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume34Issue:5Pages:1698-1707
AbstractIn 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.
Keywordweakly singular integral equation beta-derivative beta-polynomial discrete collocation corrected quasi-graded meshes higher-order interpolation superconvergence
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:A1997XZ15000002
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28932
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,MATH INST,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
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.
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