Green's function pointwise estimates for the modified Lax-Friedrichs scheme

被引:7
作者
Godillon, P [1 ]
机构
[1] Ecole Normale Super Lyon, CNRS, UMR 5669, Unite Math Pures & Appl, F-69364 Lyon 07, France
来源
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2003年 / 37卷 / 01期
关键词
linear stability; discrete shock profiles; Laplace transform;
D O I
10.1051/m2an:2003022
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to find estimates of the Green's function of stationary discrete shock profiles and discrete boundary layers of the modified Lax-Friedrichs numerical scheme, by using techniques developed by Zumbrun and Howard [27] in the continuous viscous setting.
引用
收藏
页码:1 / 39
页数:39
相关论文
共 30 条
[1]  
[Anonymous], 1999, SYSTEMS CONSERVATION
[2]  
[Anonymous], PERTURBATION THEORY
[3]   Stability of semi-discrete shock profiles by means of an Evans function in infinite dimensions [J].
Benzoni-Gavage S. .
Journal of Dynamics and Differential Equations, 2002, 14 (3) :613-674
[4]   Alternate evans functions and viscous shock waves [J].
Benzoni-Gavage, S ;
Serre, D ;
Zumbrun, K .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2001, 32 (05) :929-962
[5]   Unstable Godunov discrete profiles for steady shock waves [J].
Bultelle, M ;
Grassin, M ;
Serre, D .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (06) :2272-2297
[6]   Numerical boundary layers for hyperbolic systems in 1-D [J].
Chainais-Hillairet, C ;
Grenier, E .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2001, 35 (01) :91-106
[7]  
Dafermos C., 2000, Hyperbolic Conservation Laws in Continuum Physics
[8]  
Gardner RA, 1998, COMMUN PUR APPL MATH, V51, P797, DOI 10.1002/(SICI)1097-0312(199807)51:7<797::AID-CPA3>3.0.CO
[9]  
2-1
[10]  
GISCLON M, 1994, CR ACAD SCI I-MATH, V319, P377