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

doi:10.1137/S0036142900378327

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Status	已发表Published
Title	Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation
Creator	Ma, Heping 1; Sun, Weiwei2
Date Issued	2002
Source Publication	SIAM Journal on Numerical Analysis
ISSN	0036-1429
Volume	39 Issue:4 Pages:1380-1394
Abstract	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.
Keyword	Korteweg-de Vries equation Legendre-Petrov-Galerkin Pseudospectral
DOI	10.1137/S0036142900378327
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000172928400014
Citation statistics	Cited Times:90[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/3295
Collection	Research outside affiliated institution
Corresponding Author	Ma, Heping
Affiliation	1.Department of Mathematics, Shanghai University, Shanghai 200436, China 2.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
Recommended Citation 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.

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