A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations

doi:10.1093/imanum/dri024

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	A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations
	Ma, JT ; Brunner, H
	2006
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	26 期号:1 页码:78-95
摘要	In this paper we establish a posteriori error estimates for the discontinuous Galerkin (DG) method applied to linear, semilinear and non-standard (non-linear) Volterra integro-differential equations. We also present an analysis of the DG method with quadrature for the memory term. Numerical experiments based on three integro-differential equations are used to illustrate various aspects of the error analysis.
关键词	linear and non-standard Volterra integro-differential equations discontinuous Galerkin method a posteriori error estimates discretized memory term
DOI	10.1093/imanum/dri024
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000234436600006
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3156
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, JT
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Engn Sci Comp, Beijing 100080, Peoples R China 2.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
推荐引用方式 GB/T 7714	Ma, JT,Brunner, H. A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2006,26(1):78-95.
APA	Ma, JT,&Brunner, H.(2006).A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations.IMA JOURNAL OF NUMERICAL ANALYSIS,26(1),78-95.
MLA	Ma, JT,et al."A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations".IMA JOURNAL OF NUMERICAL ANALYSIS 26.1(2006):78-95.