Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes

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	Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes
	Liu, HL ; Wang, JH ; Yang, T
	1999-06-01
发表期刊	JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
ISSN	0916-7005
卷号	16 期号:2 页码:195-224
摘要	In this paper we show the existence and nonlinear stability of strong stationary discrete travelling waves for the explicit and implicit relaxing schemes introduced by Jin and Xin [3]. For the explicit relaxing scheme, we require that the ratio of the size of the time step and the relaxation rate is bounded above for proving the stability. But for the implicit relaxing scheme, we do not need such a restriction. This is comparable to the numerical results obtained in [3]. The proofs involve a detailed study of error equations for perturbations and an elementary but technical energy method.
关键词	explicit relaxing scheme implicit relaxing scheme existence nonlinear stability discrete travelling wave
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000085274200003
出版者	KINOKUNIYA CO 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/14646
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, HL
作者单位	1.Henan Normal Univ, Dept Math, Xinxiang 453002, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Liu, HL,Wang, JH,Yang, T. Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,1999,16(2):195-224.
APA	Liu, HL,Wang, JH,&Yang, T.(1999).Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,16(2),195-224.
MLA	Liu, HL,et al."Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes".JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 16.2(1999):195-224.