On preconditioned iterative methods for Burgers equations
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi ; Huang, Yu-Mei; Ng, Michael K.
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2007 |
| 卷号 | 29期号:1页码:415-439 |
| 关键词 | Burgers equation Sinc-Galerkin discretization Toeplitz-like matrices preconditioners GMRES method |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/060649124 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000245031900019 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3965]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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