Numerical computations for long-wave short-wave interaction equations in semi-classical limit

doi:10.1016/j.jcp.2008.05.015

	Numerical computations for long-wave short-wave interaction equations in semi-classical limit
	Chang, Qianshun 2; Wong, Yau-Shu 1; Lin, Chi-Kun 3
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2008-10-01
卷号	227 期号:19 页码:8489-8507
关键词	numerical methods finite-difference schemes long-wave short-wave interaction equations semi-classical limit
ISSN号	0021-9991
DOI	10.1016/j.jcp.2008.05.015
英文摘要	This paper presents and compares various numerical techniques for the long-wave short-wave interaction equations. In addition to the standard explicit, implicit schemes and the spectral methods, a novel scheme SRK which is based on a time-splitting approach combined with the Runge-Kutta method is presented. We demonstrate that not only the SRK scheme is efficient compared to the split step spectral methods, but it can apply directly to problems with general boundary conditions. The conservation properties of the numerical schemes are discussed. Numerical simulations are reported for case studies with different types of initial data. The present study enhances our understanding of the behavior of nonlinear dispersive waves in the semi-classical limit. (C) 2008 Elsevier Inc. All rights reserved.
资助项目	Natural Sciences and Engineering Research Council of Canada ; National Science Council of Taiwan[95-2115-M-009-MY3] ; National Science Council of Taiwan[5-500] ; NCTU
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000259753700001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/5909]
专题	中国科学院数学与系统科学研究院
通讯作者	Wong, Yau-Shu
作者单位	1.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan
推荐引用方式 GB/T 7714	Chang, Qianshun,Wong, Yau-Shu,Lin, Chi-Kun. Numerical computations for long-wave short-wave interaction equations in semi-classical limit[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2008,227(19):8489-8507.
APA	Chang, Qianshun,Wong, Yau-Shu,&Lin, Chi-Kun.(2008).Numerical computations for long-wave short-wave interaction equations in semi-classical limit.JOURNAL OF COMPUTATIONAL PHYSICS,227(19),8489-8507.
MLA	Chang, Qianshun,et al."Numerical computations for long-wave short-wave interaction equations in semi-classical limit".JOURNAL OF COMPUTATIONAL PHYSICS 227.19(2008):8489-8507.