D. Aregba-driollet, M. Briani, and R. Natalini, Time asymptotic high order schemes for dissipative BGK hyperbolic systems, Numerische Mathematik, vol.14, issue.8, pp.1-33, 2015.
DOI : 10.1007/s00211-015-0720-y
URL : https://hal.archives-ouvertes.fr/hal-00959508

C. Berthon, P. Charrier, and B. Dubroca, An HLLC Scheme to Solve The M 1 Model of Radiative Transfer in Two Space Dimensions, Journal of Scientific Computing, vol.94, issue.3???4, pp.347-389, 2007.
DOI : 10.1007/s10915-006-9108-6
URL : https://hal.archives-ouvertes.fr/hal-00293559

C. Berthon and V. Desveaux, An entropy preserving MOOD scheme for the Euler equations, Int. J. Finite Vol, vol.11, pp.39-2014
URL : https://hal.archives-ouvertes.fr/hal-01115334

C. Berthon, J. Dubois, B. Dubroca, T. Nguyen-bui, and R. Turpault, A free streaming contact preserving scheme for the M 1 model, Adv. Appl. Math. Mech, vol.2, issue.3, pp.259-285, 2010.

C. Berthon, P. G. Lefloch, and R. Turpault, Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations, Mathematics of Computation, vol.82, issue.282, pp.831-860, 2013.
DOI : 10.1090/S0025-5718-2012-02666-4

C. Berthon, G. Moebs, and R. Turpault, An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. In Finite volumes for complex applications. VII. Methods and theoretical aspects, Math. Stat, vol.77, pp.107-115, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01255899

C. Berthon and R. Turpault, Asymptotic preserving HLL schemes, Numerical Methods for Partial Differential Equations, vol.94, issue.6, pp.1396-1422, 2011.
DOI : 10.1002/num.20586

S. Boscarino, P. G. Lefloch, and G. Russo, High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems, SIAM Journal on Scientific Computing, vol.36, issue.2, pp.377-395, 2014.
DOI : 10.1137/120893136

F. Bouchut, H. Ounaissa, and B. Perthame, Upwinding of the source term at interfaces for Euler equations with high friction, Computers & Mathematics with Applications, vol.53, issue.3-4, pp.3-4361, 2007.
DOI : 10.1016/j.camwa.2006.02.055

J. Breil and P. Maire, A cell-centered diffusion scheme on two-dimensional unstructured meshes, Journal of Computational Physics, vol.224, issue.2, pp.785-823, 2007.
DOI : 10.1016/j.jcp.2006.10.025

C. Buet and S. Cordier, An asymptotic preserving scheme for hydrodynamics radiative transfer models, Numerische Mathematik, vol.325, issue.2, pp.199-221, 2007.
DOI : 10.1007/s00211-007-0094-x

C. Buet and B. Després, Asymptotic preserving and positive schemes for radiation hydrodynamics, Journal of Computational Physics, vol.215, issue.2, pp.717-740, 2006.
DOI : 10.1016/j.jcp.2005.11.011

C. Buet, B. Després, and E. Franck, Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes, Numerische Mathematik, vol.29, issue.4, pp.227-278, 2012.
DOI : 10.1007/s00211-012-0457-9

C. Buet, B. Després, and E. Franck, Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs Systems with Stiff Relaxation: Application to Angular Models in Linear Transport, Journal of Scientific Computing, vol.9, issue.1, pp.371-398, 2015.
DOI : 10.1007/s10915-014-9859-4

C. Cancès, M. Cathala, and C. L. Potier, Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations, Numerische Mathematik, vol.227, issue.12, pp.387-417, 2013.
DOI : 10.1007/s00211-013-0545-5

C. Chalons, F. Coquel, E. Godlewski, P. Raviart, and N. Seguin, GODUNOV-TYPE SCHEMES FOR HYPERBOLIC SYSTEMS WITH PARAMETER-DEPENDENT SOURCE: THE CASE OF EULER SYSTEM WITH FRICTION, Mathematical Models and Methods in Applied Sciences, vol.20, issue.11, pp.2109-2166, 2010.
DOI : 10.1142/S021820251000488X
URL : https://hal.archives-ouvertes.fr/hal-00401616

S. Clain, S. Diot, and R. Loubère, A high-order finite volume method for systems of conservation laws???Multi-dimensional Optimal Order Detection (MOOD), Journal of Computational Physics, vol.230, issue.10, pp.4028-4050, 2011.
DOI : 10.1016/j.jcp.2011.02.026

Y. Coudière, J. Vila, and P. Villedieu, Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.3, pp.493-516, 1999.
DOI : 10.1051/m2an:1999149

G. Dahlquist, A special stability problem for linear multistep methods. Nordisk Tidskr, Informations-Behandling, vol.3, pp.27-43, 1963.

J. Droniou and C. L. Potier, Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle, SIAM Journal on Numerical Analysis, vol.49, issue.2, pp.459-490, 2011.
DOI : 10.1137/090770849
URL : https://hal.archives-ouvertes.fr/hal-00808694

B. Dubroca and J. Feugeas, Etude th??orique et num??rique d'une hi??rarchie de mod??les aux moments pour le transfert radiatif, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.329, issue.10, pp.915-920, 1999.
DOI : 10.1016/S0764-4442(00)87499-6

A. Duran, F. Marche, R. Turpault, and C. Berthon, Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes, Journal of Computational Physics, vol.287, pp.184-206, 2015.
DOI : 10.1016/j.jcp.2015.02.007
URL : https://hal.archives-ouvertes.fr/hal-01302147

R. Eymard, T. Gallouët, and R. Herbin, Finite volume methods, VII, Handb. Numer. Anal., VII, pp.713-1020, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00346077

M. S. Floater, Mean value coordinates, Computer Aided Geometric Design, vol.20, issue.1, pp.19-27, 2003.
DOI : 10.1016/S0167-8396(03)00002-5

E. Franck, Design and numerical analysis of asymptotic preserving schemes on unstructured meshes. Application to the linear transport and Friedrichs systems, 2012.
URL : https://hal.archives-ouvertes.fr/tel-00735956

L. Gosse and G. Toscani, An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations, Comptes Rendus Mathematique, vol.334, issue.4, pp.337-342, 2002.
DOI : 10.1016/S1631-073X(02)02257-4

S. Gottlieb, C. Shu, and E. Tadmor, Strong Stability-Preserving High-Order Time Discretization Methods, SIAM Review, vol.43, issue.1, pp.89-112, 2001.
DOI : 10.1137/S003614450036757X

B. Hanouzet and R. Natalini, Global Existence of Smooth Solutions for Partially Dissipative Hyperbolic Systems with a Convex Entropy, Archive for Rational Mechanics and Analysis, vol.169, issue.2, pp.89-117, 2003.
DOI : 10.1007/s00205-003-0257-6

A. Harten, P. D. Lax, and B. Van-leer, On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Review, vol.25, issue.1, pp.35-61, 1983.
DOI : 10.1137/1025002

S. Jin and C. D. Levermore, Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms, Journal of Computational Physics, vol.126, issue.2, pp.449-467, 1996.
DOI : 10.1006/jcph.1996.0149

A. Kurganov and E. Tadmor, Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers, Numerical Methods for Partial Differential Equations, vol.160, issue.5, pp.584-608, 2002.
DOI : 10.1002/num.10025

C. and L. Potier, Correction non lin??aire et principe du maximum pour la discr??tisation d'op??rateurs de diffusion avec des sch??mas volumes finis centr??s sur les mailles, Comptes Rendus Mathematique, vol.348, issue.11-12, pp.11-12691, 2010.
DOI : 10.1016/j.crma.2010.04.017

C. and L. Potier, Correction non lin??aire d'ordre 2 et principe du maximum pour la discr??tisation d'op??rateurs de diffusion, Comptes Rendus Mathematique, vol.352, issue.11, pp.352947-952, 2014.
DOI : 10.1016/j.crma.2014.08.010

C. D. Levermore, Moment closure hierarchies for kinetic theories, Journal of Statistical Physics, vol.23, issue.5-6, pp.1021-1065, 1996.
DOI : 10.1007/BF02179552

P. Marcati and A. Milani, The one-dimensional Darcy's law as the limit of a compressible Euler flow, Journal of Differential Equations, vol.84, issue.1, pp.129-147, 1990.
DOI : 10.1016/0022-0396(90)90130-H

B. Perthame and C. Shu, On positivity preserving finite volume schemes for Euler equations, Numerische Mathematik, vol.73, issue.1, pp.119-130, 1996.
DOI : 10.1007/s002110050187

G. C. Pomraning, The equations of radiation hydrodynamics. International series of monographs in natural philosophy, 1973.

V. V. Rusanov, The calculation of the interaction of non-stationary shock waves with barriers, ?. Vy?isl. Mat. i Mat. Fiz, vol.1, pp.267-279, 1961.

C. and S. Desbois, Numerical methods for hyperbolic systems with source term issuing from complex physic for radiation, 2013.
URL : https://hal.archives-ouvertes.fr/tel-00814182

C. W. Schulz-rinne, Classification of the Riemann Problem for Two-Dimensional Gas Dynamics, SIAM Journal on Mathematical Analysis, vol.24, issue.1, pp.76-88, 1993.
DOI : 10.1137/0524006

E. F. Toro, Riemann solvers and numerical methods for fluid dynamics

E. F. Toro, M. Spruce, and W. Speares, Restoration of the contact surface in the HLL-Riemann solver, Shock Waves, vol.54, issue.1, pp.25-34, 1994.
DOI : 10.1007/BF01414629

P. Woodward and P. Colella, The numerical simulation of two-dimensional fluid flow with strong shocks, Journal of Computational Physics, vol.54, issue.1, pp.115-173, 1984.
DOI : 10.1016/0021-9991(84)90142-6

T. Zhang and Y. X. Zheng, Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems, SIAM Journal on Mathematical Analysis, vol.21, issue.3, pp.593-630, 1990.
DOI : 10.1137/0521032