DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE

doi:10.1137/090771922

	DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE
	Brunner, Hermann 1,2; Huang, Qiumei 3; Xie, Hehu4
	2010
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	48 期号:5 页码:1944-1967
摘要	This paper is concerned with the application of the discontinuous Galerkin method to delay differential equations with vanishing delay qt (0 < q < 1). Our aim is to establish optimal global and local superconvergence results on uniform meshes and compare these with analogous estimates for collocation methods. The theoretical results are illustrated by a broad range of numerical examples.
关键词	pantograph delay differential equations vanishing proportional delay discontinuous Galerkin method optimal order of superconvergence
DOI	10.1137/090771922
语种	英语
资助项目	Hong Kong Research Grants Council ; Natural Sciences and Engineering Research Council of Canada (NSERC)[9406] ; Natural Science Foundation of China (NSFC)[11001259]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000284761200014
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/10225
专题	计算数学与科学工程计算研究所
通讯作者	Brunner, Hermann
作者单位	1.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 2.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China 3.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Brunner, Hermann,Huang, Qiumei,Xie, Hehu. DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2010,48(5):1944-1967.
APA	Brunner, Hermann,Huang, Qiumei,&Xie, Hehu.(2010).DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE.SIAM JOURNAL ON NUMERICAL ANALYSIS,48(5),1944-1967.
MLA	Brunner, Hermann,et al."DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE".SIAM JOURNAL ON NUMERICAL ANALYSIS 48.5(2010):1944-1967.