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Stability analysis of numerical methods for systems of functional-differential and functional equations
Huang, CM; Chang, QS
2002-09-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume44Issue:5-6Pages:717-729
AbstractThis paper is concerned with the numerical solution of functional-differential and functional equations which include functional-differential equations of neutral type as special cases. The adaptation of linear multistep methods, one-leg methods, and Runge-Kutta methods is considered. The emphasis is on the linear stability of numerical methods. It is proved that A-stable methods can inherit the asymptotic stability of underlying linear systems. Some general results of stability on explicit and implicit methods are also given. (C) 2002 Elsevier Science Ltd. All rights reserved.
Keywordhybrid systems functional-differential equations functional equations linear multistep methods one-leg methods Runge-Kutta methods numerical stability
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000177691200015
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17002
Collection中国科学院数学与系统科学研究院
Affiliation1.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Huang, CM,Chang, QS. Stability analysis of numerical methods for systems of functional-differential and functional equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2002,44(5-6):717-729.
APA Huang, CM,&Chang, QS.(2002).Stability analysis of numerical methods for systems of functional-differential and functional equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,44(5-6),717-729.
MLA Huang, CM,et al."Stability analysis of numerical methods for systems of functional-differential and functional equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 44.5-6(2002):717-729.
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