Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness

doi:10.1016/j.aml.2019.07.022

	Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness
	Luo, Fusheng 1; Xie, Hehu2,3 ; Xie, Manting 4; Xu, Fei 5
	2020
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	99 页码:8
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.
关键词	Molecular beam epitaxy Adaptive time-stepping method Equidistribution of energy Equidistribution of roughness
DOI	10.1016/j.aml.2019.07.022
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000488998600012
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35948
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.Minist Nat Resources, Inst Oceanog 3, Xiamen 361005, Fujian, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, 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.