E. Andjel, C. Cocozza-thivent, and M. , Quelques compléments sur le processus des misanthropes et le processus zéro-range, Annales de l'I. H. P., série B, vol.21, pp.363-382, 1985.

E. D. Andjel and M. E. Vares, Hydrodynamic equations for attractive particle systems on ?, Journal of Statistical Physics, vol.38, issue.1-2, pp.265-288, 1987.
DOI : 10.1007/BF01009046

C. Bahadoran, H. Guiol, K. Ravishankar, and E. Saada, Euler hydrodynamics of one-dimensional attractive particle systems. The Annals of probability, pp.1339-1369, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00273608

C. Bardos, A. Leroux, and J. Nédélec, First order quasilinear equations with boundary conditions, Communications in Partial Differential Equations, vol.2, issue.33, pp.1017-1034, 1979.
DOI : 10.1090/S0025-5718-1977-0478651-3

S. Champier, T. Gallouët, and R. Herbin, Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh, Numerische Mathematik, vol.14, issue.10, pp.139-157, 1993.
DOI : 10.1007/BF01385691

C. Cocozza-thivent, Processus des misanthropes, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.5, issue.4, pp.509-523, 1985.
DOI : 10.1007/BF00531864

R. J. Diperna, Measure-valued solutions to conservation laws, Archive for Rational Mechanics and Analysis, vol.2, issue.3, pp.223-270, 1985.
DOI : 10.1007/BF00752112

H. Dirk, Traffic and related self-driven many-particle systems, Reviews of Modern Physics, vol.73, issue.4, pp.1067-1141, 2001.

R. Eymard, T. Gallouët, and R. Herbin, Finite volume methods, Techniques of Scientific Computing, Part III, Handbook of Numerical Analysis, VII, pp.713-1020, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00346077

R. Eymard, T. Gallouët, and J. Vovelle, Limit boundary conditions for finite volume approximations of some physical problems, Journal of Computational and Applied Mathematics, vol.161, issue.2, pp.349-369, 2003.
DOI : 10.1016/j.cam.2003.05.003
URL : https://hal.archives-ouvertes.fr/hal-00003443

R. Eymard, S. Mercier, and A. Prignet, An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes, Journal of Computational and Applied Mathematics, vol.222, issue.2, pp.293-323, 2008.
DOI : 10.1016/j.cam.2007.10.053
URL : https://hal.archives-ouvertes.fr/hal-00693134

T. Gobron and E. Saada, Couplings, attractiveness and hydrodynamics for conservative particle systems. Annales de l'Institut Henri Poincaré -Probabilités et Statistiques, pp.1132-1177, 2010.
DOI : 10.1214/09-aihp347
URL : http://arxiv.org/pdf/0903.0316v1.pdf

E. Godlewski and P. Raviart, Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences, vol.118, 1996.
DOI : 10.1007/978-1-4612-0713-9

S. Godounov, A. Zabrodine, M. Ivanov, A. Kraiko, and G. Prokopov, Résolution numérique desprobì emes multidimensionnels de la dynamique des gaz, 1979.

C. Kipnis and C. Landim, Scaling limits of interacting particle systems, 1999.
DOI : 10.1007/978-3-662-03752-2

S. N. Kru?kov, FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES, Mathematics of the USSR-Sbornik, vol.10, issue.2, pp.228-255, 1970.
DOI : 10.1070/SM1970v010n02ABEH002156

R. J. Leveque, Numerical methods for conservation laws, Lectures in Mathematics ETH Zürich, 1990.

B. Merlet and J. Vovelle, Error estimate for finite volume scheme, Numerische Mathematik, vol.94, issue.3, pp.129-155, 2007.
DOI : 10.1007/s00211-006-0053-y
URL : https://hal.archives-ouvertes.fr/hal-00008660

F. Otto, Initial-boundary value problem for a scalar conservation law, C. R. Acad. Sci. Paris Sér. I Math, vol.322, issue.8, pp.729-734, 1996.

J. Vovelle, Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains, Numerische Mathematik, vol.90, issue.3, pp.563-596, 2002.
DOI : 10.1007/s002110100307