On preconditioned iterative methods for Burgers equations

doi:10.1137/060649124

	On preconditioned iterative methods for Burgers equations
	Bai, Zhong-Zhi; Huang, Yu-Mei ; Ng, Michael K.
	2007
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	29 期号:1 页码:415-439
摘要	We study the Newton method and a fixed-point method for solving the system of nonlinear equations arising from the Sinc-Galerkin discretization of the Burgers equations. In each step of the Newton method or the fixed-point method, a structured subsystem of linear equations is obtained and needs to be solved numerically. In this paper, preconditioning techniques are applied to solve such linear subsystems. The bounds for eigenvalues of the preconditioned matrices are derived and numerical examples are given to illustrate the effectiveness of the proposed methods. We also find that a combination of the Newton/fixed-point iteration with the preconditioned GMRES method is quite efficient for the Sinc-Galerkin discretization of the Burgers equations.
关键词	Burgers equation Sinc-Galerkin discretization Toeplitz-like matrices preconditioners GMRES method
DOI	10.1137/060649124
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000245031900019
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3966
专题	计算数学与科学工程计算研究所
通讯作者	Bai, Zhong-Zhi
作者单位	1.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Huang, Yu-Mei,Ng, Michael K.. On preconditioned iterative methods for Burgers equations[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2007,29(1):415-439.
APA	Bai, Zhong-Zhi,Huang, Yu-Mei,&Ng, Michael K..(2007).On preconditioned iterative methods for Burgers equations.SIAM JOURNAL ON SCIENTIFIC COMPUTING,29(1),415-439.
MLA	Bai, Zhong-Zhi,et al."On preconditioned iterative methods for Burgers equations".SIAM JOURNAL ON SCIENTIFIC COMPUTING 29.1(2007):415-439.