Stability analysis and application of the exponential time differencing schemes

CSpace

	Stability analysis and application of the exponential time differencing schemes
	Du, Q ; Zhu, WX
	2004-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	22 期号:2 页码:200-209
摘要	Exponential time differencing schemes are time integration methods that can be efficiently combined with spatial spectral approximations to provide very high resolution to the smooth solutions of some linear and nonlinear partial differential equations. We study in this paper the stability properties of some exponential time differencing schemes. We also present their application to the numerical solution of the scalar Allen-Cahn equation in two and three dimensional spaces.
关键词	time integration schemes exponential time differencing Fourier spectral methods stability Fourier analysis energy estimates maximum principle Allen-Cahn equations phase transitions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000220381000007
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19324
专题	中国科学院数学与系统科学研究院
通讯作者	Du, Q
作者单位	1.Penn State Univ, Dept Math, University Pk, PA 16802 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Du, Q,Zhu, WX. Stability analysis and application of the exponential time differencing schemes[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2004,22(2):200-209.
APA	Du, Q,&Zhu, WX.(2004).Stability analysis and application of the exponential time differencing schemes.JOURNAL OF COMPUTATIONAL MATHEMATICS,22(2),200-209.
MLA	Du, Q,et al."Stability analysis and application of the exponential time differencing schemes".JOURNAL OF COMPUTATIONAL MATHEMATICS 22.2(2004):200-209.