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

doi:10.1016/j.jcp.2008.05.015

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	Numerical computations for long-wave short-wave interaction equations in semi-classical limit
	Chang, Qianshun 2; Wong, Yau-Shu 1; Lin, Chi-Kun 3
	2008-10-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	227 期号:19 页码:8489-8507
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.
关键词	numerical methods finite-difference schemes long-wave short-wave interaction equations semi-classical limit
DOI	10.1016/j.jcp.2008.05.015
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000259753700001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5910
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.