DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE
文献类型：期刊论文
| 作者 | Brunner, Hermann1,2; Huang, Qiumei3; Xie, Hehu4
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2010 |
| 卷号 | 48期号:5页码:1944-1967 |
| ISSN号 | 0036-1429 |
| 关键词 | pantograph delay differential equations vanishing proportional delay discontinuous Galerkin method optimal order of superconvergence |
| DOI | 10.1137/090771922 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| 出版者 | SIAM PUBLICATIONS |
| WOS记录号 | WOS:000284761200014 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10224]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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