SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE
文献类型：期刊论文
| 作者 | Huang, Qiumei1; Xie, Hehu2 ; Brunner, Hermann3,4
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2011 |
| 卷号 | 33期号:5页码:2664-2684 |
| 关键词 | pantograph delay differential equation vanishing proportional delay discontinuous Galerkin method interpolation and iteration postprocessing superconvergence |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/110824632 |
| 英文摘要 | This paper is concerned with the superconvergence of the discontinuous Galerkin solutions for delay differential equations with proportional delays vanishing at t = 0. Two types of superconvergence are analyzed here. The first is based on interpolation postprocessing to improve the global convergence order by finding the superconvergence points of discontinuous Galerkin solutions. The second type follows from the integral iteration which just requires a local integration procedure applied to the discontinuous Galerkin solution, thus increasing the order of convergence. The theoretical results are illustrated by a broad range of numerical examples. |
| 资助项目 | National Natural Science Foundation[11101018] ; Beijing Natural Science Foundation of China[1112002] ; National Natural Science Foundation of China[11001259] ; Natural Sciences and Engineering Research Council of Canada (NSERC)[9406] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000296591200025 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11407]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Huang, Qiumei |
| 作者单位 | 1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 4.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Qiumei,Xie, Hehu,Brunner, Hermann. SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2011,33(5):2664-2684. |
| APA | Huang, Qiumei,Xie, Hehu,&Brunner, Hermann.(2011).SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE.SIAM JOURNAL ON SCIENTIFIC COMPUTING,33(5),2664-2684. |
| MLA | Huang, Qiumei,et al."SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE".SIAM JOURNAL ON SCIENTIFIC COMPUTING 33.5(2011):2664-2684. |
入库方式： OAI收割
来源：数学与系统科学研究院
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