COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS
文献类型：期刊论文
| 作者 | Xie, Hehu1,2 ; Zhang, Ran3; Brunner, Hermann4,5
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| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2011 |
| 卷号 | 33期号:6页码:3303-3332 |
| ISSN号 | 1064-8275 |
| 关键词 | Volterra functional integral equations vanishing delays pantograph-type delays existence and regularity of solutions collocation solutions optimal order of convergence |
| DOI | 10.1137/100818595 |
| 英文摘要 | We analyze the existence, uniqueness, and regularity properties of solutions for general Volterra functional integral equations with the delay function theta(t) vanishing at the initial point of the given interval [0, T] (with theta(t) = qt, 0 < q < 1, representing an important special case). The focus of the paper is then on the the attainable order of convergence, and the question of possible superconvergence, for collocation solutions in certain piecewise polynomial spaces. Numerical experiments complement the theoretical convergence results. |
| 资助项目 | National Science Foundation of China (NSFC)[10801062] ; National Science Foundation of China (NSFC)[11001259] ; National Science Foundation of China (NSFC)[11071102] ; Jilin University ; Natural Sciences and Engineering Research Council of Canada (NSERC)[9406] ; Hong Kong Research Grants Council[HKBU 200207] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SIAM PUBLICATIONS |
| WOS记录号 | WOS:000298370000011 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12315]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xie, Hehu |
| 作者单位 | 1.Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Jilin Univ, Sch Math, Changchun 130012, Peoples R China 4.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 5.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Hehu,Zhang, Ran,Brunner, Hermann. COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2011,33(6):3303-3332. |
| APA | Xie, Hehu,Zhang, Ran,&Brunner, Hermann.(2011).COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,33(6),3303-3332. |
| MLA | Xie, Hehu,et al."COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 33.6(2011):3303-3332. |
入库方式： OAI收割
来源：数学与系统科学研究院
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