On large time-stepping methods for the Cahn-Hilliard equation

doi:10.1016/j.apnum.2006.07.026

科研成果详情

发表状态	已发表Published
题名	On large time-stepping methods for the Cahn-Hilliard equation
作者	He, Yinnian 1; Liu, Yunxian 2; Tang, Tao3
发表日期	2007
发表期刊	Applied Numerical Mathematics
ISSN/eISSN	0168-9274
卷号	57 期号:5-7 SPEC. ISS.页码:616-628
摘要	In this work, we will analyze a class of large time-stepping methods for the Cahn-Hilliard equation. The equation is discretized by Fourier spectral method in space and semi-implicit schemes in time. For first-order semi-implicit scheme, the stability and convergence properties are investigated based on an energy approach. Here stability means that the decay of energy is preserved. The numerical experiments are used to demonstrate the effectiveness of the large time-stepping approaches. © 2006 IMACS.
关键词	Cahn-Hilliard equation Decay of energy Large time-stepping method Semi-implicit scheme Spectral method Stability
DOI	10.1016/j.apnum.2006.07.026
URL	查看来源
收录类别	SCIE ; CPCI-S
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000246595900013
引用统计	被引频次：209[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/1825
专题	个人在本单位外知识产出
通讯作者	Tang, Tao
作者单位	1.Faculty of Science, Xi'an Jiaotong University, Xi'an, 710049, China 2.School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, China 3.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
推荐引用方式 GB/T 7714	He, Yinnian,Liu, Yunxian,Tang, Tao. On large time-stepping methods for the Cahn-Hilliard equation[J]. Applied Numerical Mathematics, 2007, 57(5-7 SPEC. ISS.): 616-628.
APA	He, Yinnian, Liu, Yunxian, & Tang, Tao. (2007). On large time-stepping methods for the Cahn-Hilliard equation. Applied Numerical Mathematics, 57(5-7 SPEC. ISS.), 616-628.
MLA	He, Yinnian,et al."On large time-stepping methods for the Cahn-Hilliard equation". Applied Numerical Mathematics 57.5-7 SPEC. ISS.(2007): 616-628.