A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA
文献类型：期刊论文
| 作者 | Zhai, Fangman1; Cao, Liqun2 |
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2022 |
| 卷号 | 19期号:4页码:542-562 |
| 关键词 | Parabolic integro-differential equation the multiscale asymptotic method Laplace transformation composite media |
| ISSN号 | 1705-5105 |
| 英文摘要 | This paper studies the multiscale algorithm for parabolic integro-differential equations in composite media combining with Laplace transformation. The new contributions reported in this study are threefold: the convergence estimates with an explicit rate for the multiscale solutions of the equations in general domains are proved, the boundary layer solution is defined and the multiscale finite element algorithm which is suitable for parallel computation is presented. Numerical simulations are then carried out to validate the theoretical results. |
| 资助项目 | National Natural Science Foundation of China[11226310] ; National Natural Science Foundation of China[11971030] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000820772200005 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61187]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhai, Fangman |
| 作者单位 | 1.Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China 2.Chinese Acad Sci, Univ Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp,LSEC,NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhai, Fangman,Cao, Liqun. A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2022,19(4):542-562. |
| APA | Zhai, Fangman,&Cao, Liqun.(2022).A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,19(4),542-562. |
| MLA | Zhai, Fangman,et al."A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 19.4(2022):542-562. |
入库方式： OAI收割
来源：数学与系统科学研究院
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