Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method

doi:10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23

科研成果详情

发表状态	已发表Published
题名	Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method
作者	Li, Jian 1; Ma, Heping 2,4; Sun, Weiwei3
发表日期	2000
发表期刊	Numerical Methods for Partial Differential Equations
ISSN/eISSN	0749-159X
卷号	16 期号:6 页码:513-534
摘要	A Legendre pseudo-spectral method is proposed for the Korteweg-de Vries equation with nonperiodic boundary conditions. Appropriate base functions are chosen to get an efficient algorithm. Error analysis is given for both semi-discrete and fully discrete schemes. The numerical results confirm to the theoretical analysis. © (2000) John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 513-534, (2000).
关键词	Korteweg-de Vries equation Legendre pseudo-spectral method
DOI	10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000089911100002
引用统计	被引频次：19[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/3308
专题	个人在本单位外知识产出
通讯作者	Ma, Heping
作者单位	1.LSEC, Inst. Compl. Math. Sci./Eng. Comp., Chinese Academy of Sciences, Beijing 100080, China 2.Department of Mathematics, Shanghai University, Shanghai 200436, China 3.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong 4.Dept. of Mathematics, Shanghai Univ., Shanghai 200436, China
推荐引用方式 GB/T 7714	Li, Jian,Ma, Heping,Sun, Weiwei. Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method[J]. Numerical Methods for Partial Differential Equations, 2000, 16(6): 513-534.
APA	Li, Jian, Ma, Heping, & Sun, Weiwei. (2000). Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. Numerical Methods for Partial Differential Equations, 16(6), 513-534.
MLA	Li, Jian,et al."Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method". Numerical Methods for Partial Differential Equations 16.6(2000): 513-534.