Error bounds for the large time step Glimm scheme applied to scalar conservation laws

doi:10.1007/s002110100335

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	Error bounds for the large time step Glimm scheme applied to scalar conservation laws
	Huang, JY ; Wang, JH ; Warnecke, G
	2002-03-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	91 期号:1 页码:13-34
摘要	In this paper we derive an L-1 error bound for the large time step. i.e. large Courant number, version of the Glimm scheme when used for the approximation of solutions to a genuinely nonlinear, i.e. convex, scalar conservation law for a generic class of piecewise constant data. We show that the error is bounded by O(Deltax(1/2)\ log Deltax\) for Courant numbers up to 1. The order of the error is the same as that given by Hoff and Smoller [5] in 1985 for the Glimm scheme under the restriction of Courant numbers up to 1/2.
DOI	10.1007/s002110100335
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000175110900002
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17562
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, JY
作者单位	1.Beijing Univ Chem Technol, Beijing 100029, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Magdeburg, Inst Anal & Numer, D-39016 Magdeburg, Germany
推荐引用方式 GB/T 7714	Huang, JY,Wang, JH,Warnecke, G. Error bounds for the large time step Glimm scheme applied to scalar conservation laws[J]. NUMERISCHE MATHEMATIK,2002,91(1):13-34.
APA	Huang, JY,Wang, JH,&Warnecke, G.(2002).Error bounds for the large time step Glimm scheme applied to scalar conservation laws.NUMERISCHE MATHEMATIK,91(1),13-34.
MLA	Huang, JY,et al."Error bounds for the large time step Glimm scheme applied to scalar conservation laws".NUMERISCHE MATHEMATIK 91.1(2002):13-34.