P. Ailliot, E. Frénod, and V. Monbet, Long term object drift in the ocean with tide and wind. Multiscale Modelling and Simulation, pp.514-531, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00129093

G. Allaire, Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1482-1518, 1992.
DOI : 10.1137/0523084

URL : https://hal.archives-ouvertes.fr/hal-01111805

R. Fortenbach, E. Frénod, R. Klein, C. Munz, and E. Sonnendrücker, Multiple Scale Considerations for Sound Generation in Low Mach Number Flow, 8th DFG Workshop on French German Research Program Numerical Flow Simulation, 2001.
DOI : 10.1007/978-3-540-45693-3_8

E. Frénod, P. A. Raviart, and E. Sonnendrücker, Two-scale expansion of a singularly perturbed convection equation, Journal de Math??matiques Pures et Appliqu??es, vol.80, issue.8, pp.815-843, 2001.
DOI : 10.1016/S0021-7824(01)01215-6

E. Frénod, F. Salvarani, and E. Sonnendrücker, LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHOD, Mathematical Models and Methods in Applied Sciences, vol.19, issue.02
DOI : 10.1142/S0218202509003395

E. Frénod and E. Sonnendrücker, LONG TIME BEHAVIOR OF THE TWO-DIMENSIONAL VLASOV EQUATION WITH A STRONG EXTERNAL MAGNETIC FIELD, Mathematical Models and Methods in Applied Sciences, vol.10, issue.04, pp.539-553, 2000.
DOI : 10.1142/S021820250000029X

E. Frénod and E. Sonnendrücker, The Finite Larmor Radius Approximation, SIAM Journal on Mathematical Analysis, vol.32, issue.6, pp.1227-1247, 2001.
DOI : 10.1137/S0036141099364243

S. Godunov, A difference scheme for numerical solution of discontinuous solution of hydrodynamic equations, Math. Sbornik, pp.47-271, 1959.

E. Grenier, Oscillatory perturbations of the Navier Stokes equations, Journal de Math??matiques Pures et Appliqu??es, vol.76, issue.6, pp.477-498, 2001.
DOI : 10.1016/S0021-7824(97)89959-X

S. Klainerman and A. Majda, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Communications on Pure and Applied Mathematics, vol.71, issue.4, pp.481-524, 1981.
DOI : 10.1002/cpa.3160340405

S. Klainerman and A. Majda, Compressible and incompressible fluids, Communications on Pure and Applied Mathematics, vol.33, issue.5, pp.629-651, 1982.
DOI : 10.1002/cpa.3160350503

R. Leveque, Finite volume methods for hyperbolic problems, Cambridge texts in Applied mathematics, 2002.
DOI : 10.1017/CBO9780511791253

J. Lions, Quelques méthodes de résolution deprobì emes aux limites non linéaires, 1969.

A. Majda, Compressible fluid flow and systems of conservation laws in several space variables, 1984.
DOI : 10.1007/978-1-4612-1116-7

E. Marusic-paloka and A. Piatnitski, Homogenization of a Nonlinear Convection-Diffusion Equation with Rapidly Oscillating Coefficients and Strong Convection, Journal of the London Mathematical Society, vol.72, issue.2, pp.391-409, 2005.
DOI : 10.1112/S0024610705006824

G. Métivier and S. Schochet, The Incompressible Limit of the Non-Isentropic Euler Equations, Archive for Rational Mechanics and Analysis, vol.158, issue.1, pp.61-90, 2001.
DOI : 10.1007/PL00004241

C. Munz, Computational fluid dynamics and aeroacoustics for low Mach number flow. unpublished (personal communication)

G. Nguetseng, A General Convergence Result for a Functional Related to the Theory of Homogenization, SIAM Journal on Mathematical Analysis, vol.20, issue.3, pp.608-623, 1989.
DOI : 10.1137/0520043

P. Roe, Approximate Riemann solvers, parameter vectors, and difference schemes, Journal of Computational Physics, vol.43, issue.2, pp.357-372, 1981.
DOI : 10.1016/0021-9991(81)90128-5

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.457.5978

S. Schochet, Asymptotics for symmetric hyperbolic systems with a large parameter, Journal of Differential Equations, vol.75, issue.1, pp.1-27, 1988.
DOI : 10.1016/0022-0396(88)90126-X

S. Schochet, Fast Singular Limits of Hyperbolic PDEs, Journal of Differential Equations, vol.114, issue.2, pp.476-512, 1994.
DOI : 10.1006/jdeq.1994.1157

S. Schochet, Symmetric hyperbolic systems with a large parameter, Communications in Partial Differential Equations, vol.11, issue.15, pp.1627-1651, 1986.
DOI : 10.1007/BF01229377

D. Serre, Systems of conservations laws 1, 1999.
DOI : 10.1017/CBO9780511612374