@article{M2AN_1999__33_1_129_0,
author = {Chainais-Hillairet, Claire},
title = {Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {33},
year = {1999},
pages = {129-156},
mrnumber = {1685749},
zbl = {0921.65071},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1999__33_1_129_0}
}
Chainais-Hillairet, Claire. Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999) pp. 129-156. http://gdmltest.u-ga.fr/item/M2AN_1999__33_1_129_0/
[1] , and , An error estimate for finite volume methods for multidimensional convervation laws. Math. Comp. 63 (1994) 77-103. | MR 1240657 | Zbl 0855.65103
[2] , , and , Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by some finite volume schemes. IMA. J. Numer. Anal. 18 (1998) 563-594. | MR 1681074 | Zbl 0973.65078
[3] , and , Convergence of a finite volume seheme for a nonlinear hyperbolic equation, Proceedings of the Third colloquium on numerical analysis, edited by D. Bainov and V. Covachev. Elsevier (1995) 61-70. | MR 1455950 | Zbl 0843.65068
[4] , and , Existence and uniqueness of the entropy solution to a nonlinear hyperboiic equation. Chin. Ann. Math. B16 (1995) 1-14. | MR 1338923 | Zbl 0830.35077
[5] , First order quasilinear equations with several space variable. Math. USSR. Sb. 10 (1970) 217-243. | Zbl 0215.16203
[6] , Measure-valued solutions to conservation laws. Arch. Rat. Mech Anal. 88 (1985) 223-270. | MR 775191 | Zbl 0616.35055
[7] , Numerical methods for conservations laws. Birkhaeuser (1990). | MR 1077828 | Zbl 0723.65067
[8] , Convergence and error estimate in finite volume schemes for gênerai multidimensional conservation laws. RAIRO Model. Math. Anal. Num. 28 (1994) 267-285. | Numdam | MR 1275345 | Zbl 0823.65087