A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations
文献类型：期刊论文
| 作者 | Ma, JT; Brunner, H |
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2006 |
| 卷号 | 26期号:1页码:78-95 |
| 关键词 | linear and non-standard Volterra integro-differential equations discontinuous Galerkin method a posteriori error estimates discretized memory term |
| ISSN号 | 0272-4979 |
| DOI | 10.1093/imanum/dri024 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000234436600006 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3155]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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