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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
Source PublicationNUMERISCHE MATHEMATIK
ISSN0029-599X
Volume91Issue:1Pages:13-34
AbstractIn 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.
DOI10.1007/s002110100335
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000175110900002
PublisherSPRINGER-VERLAG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17562
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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