Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness
文献类型：期刊论文
| 作者 | Luo, Fusheng2; Xie, Hehu1,3 ; Xie, Manting4; Xu, Fei5
|
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2020 |
| 卷号 | 99页码:8 |
| ISSN号 | 0893-9659 |
| 关键词 | Molecular beam epitaxy Adaptive time-stepping method Equidistribution of energy Equidistribution of roughness |
| DOI | 10.1016/j.aml.2019.07.022 |
| 英文摘要 | Due to the small parameter, high order derivatives and nonlinear term, it takes a long time to reach the steady state in the simulation of the molecular beam epitaxy (MBE) model. In this work, based on the numerical scheme in Qiao et al. (2011) and the good properties it holds, we introduce two types of adaptive time-stepping methods, in which the physical quantities like energy or roughness are involved to produce time steps. Similarly to the spatial adaptive method, we take equidistribution of the physical quantities in time direction to control the simulation error. The numerical experiment shows that the computational time is significantly saved by these methods. (C) 2019 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Nature Science Foundation of China[11401129] ; National Nature Science Foundation of China[11871410] ; National Nature Science Foundation of China[11771434] ; National Nature Science Foundation of China[91730302] ; National Nature Science Foundation of China[11801021] ; National Center for Mathematics and Interdisciplinary Science, CAS, China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000488998600012 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35947]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Fei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China 2.Minist Nat Resources, Inst Oceanog 3, Xiamen 361005, Fujian, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 5.Beijing Univ Technol, Coll Appl Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Fusheng,Xie, Hehu,Xie, Manting,et al. Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness[J]. APPLIED MATHEMATICS LETTERS,2020,99:8. |
| APA | Luo, Fusheng,Xie, Hehu,Xie, Manting,&Xu, Fei.(2020).Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness.APPLIED MATHEMATICS LETTERS,99,8. |
| MLA | Luo, Fusheng,et al."Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness".APPLIED MATHEMATICS LETTERS 99(2020):8. |
入库方式： OAI收割
来源：数学与系统科学研究院
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