Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation

doi:10.1137/S0036142900378327

科研成果详情

发表状态	已发表Published
题名	Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation
作者	Ma, Heping 1; Sun, Weiwei2
发表日期	2002
发表期刊	SIAM Journal on Numerical Analysis
ISSN/eISSN	0036-1429
卷号	39 期号:4 页码:1380-1394
摘要	In this paper, the Legendre-Petrov-Galerkin method for the Korteweg-de Vries equation with nonperiodic boundary conditions is analyzed. The nonlinear term is computed with the Legendre spectral method and some pseudospectral methods, respectively. Optimal error estimates in L2-norm are obtained for both semidiscrete and fully discrete schemes. The method is also applicable to some (2m + 1)th-order differential equations.
关键词	Korteweg-de Vries equation Legendre-Petrov-Galerkin Pseudospectral
DOI	10.1137/S0036142900378327
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:000172928400014
引用统计	被引频次：91[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/3295
专题	个人在本单位外知识产出
通讯作者	Ma, Heping
作者单位	1.Department of Mathematics, Shanghai University, Shanghai 200436, China 2.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
推荐引用方式 GB/T 7714	Ma, Heping,Sun, Weiwei. Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation[J]. SIAM Journal on Numerical Analysis, 2002, 39(4): 1380-1394.
APA	Ma, Heping, & Sun, Weiwei. (2002). Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation. SIAM Journal on Numerical Analysis, 39(4), 1380-1394.
MLA	Ma, Heping,et al."Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation". SIAM Journal on Numerical Analysis 39.4(2002): 1380-1394.