BV estimates of Lax-Friedrichs' scheme for a class of nonlinear hyperbolic conservation laws
文献类型：期刊论文
| 作者 | Yang, T; Zhao, HJ; Zhu, CJ |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2003 |
| 卷号 | 131期号:4页码:1257-1266 |
| 关键词 | hyperbolic systems of conservation laws Lax-Friedrichs' scheme BV estimates |
| 英文摘要 | We give uniform BV estimates and L-1-stability of Lax-Friedrichs' scheme for a class of n x n systems of strictly hyperbolic conservation laws whose integral curves of the eigenvector fields are straight lines, i.e., Temple class, under the assumption of small total variation. This implies that the approximate solutions generated via the Lax-Friedrichs' scheme converge to the solution given by the method of vanishing viscosity or the Godunov scheme, and then the Glimm scheme or the wave front tracking method. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SYSTEMS ; CONVERGENCE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000180114100032 |
| 公开日期 | 2015-12-08 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8927]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, Peoples R China 3.Cent China Normal Univ, Dept Math, Wuhan, Peoples R China 4.Cent China Normal Univ, Lab Nonlinear Anal, Wuhan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, T,Zhao, HJ,Zhu, CJ. BV estimates of Lax-Friedrichs' scheme for a class of nonlinear hyperbolic conservation laws[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2003,131(4):1257-1266. |
| APA | Yang, T,Zhao, HJ,&Zhu, CJ.(2003).BV estimates of Lax-Friedrichs' scheme for a class of nonlinear hyperbolic conservation laws.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,131(4),1257-1266. |
| MLA | Yang, T,et al."BV estimates of Lax-Friedrichs' scheme for a class of nonlinear hyperbolic conservation laws".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131.4(2003):1257-1266. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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