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Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays
Gan, SQ; Sun, G; Zheng, W
2002-10-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume44Issue:8-9Pages:1157-1173
AbstractThis paper is concerned with the error analysis of linear multistep methods and Runge-Kutta methods applied to some classes of one-parameter stiff singularly perturbed problems with delays. We derive the global error estimates of A(alpha)-stable linear multistep methods and algebraically and diagonally stable Runge-Kutta methods with Lagrange interpolation procedure. Numerical experiments confirm our theoretical analysis. (C) 2002 Elsevier Science Ltd. All rights reserved.
Keywordsingular perturbation problems delays interpolation linear multistep methods Runge-Kutta methods error analysis
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000178900700015
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17855
Collection中国科学院数学与系统科学研究院
Affiliation1.Tsing Hua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Gan, SQ,Sun, G,Zheng, W. Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2002,44(8-9):1157-1173.
APA Gan, SQ,Sun, G,&Zheng, W.(2002).Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays.COMPUTERS & MATHEMATICS WITH APPLICATIONS,44(8-9),1157-1173.
MLA Gan, SQ,et al."Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays".COMPUTERS & MATHEMATICS WITH APPLICATIONS 44.8-9(2002):1157-1173.
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