C. Altmann, T. Belat, M. Gutnic, P. Helluy, H. Mathis et al., A local time-stepping Discontinuous Galerkin algorithm for the MHD system, ESAIM: Proceedings, vol.28, issue.2, pp.33-54, 2009.
DOI : 10.1051/proc/2009038
URL : https://hal.archives-ouvertes.fr/inria-00594611

M. J. Berger and J. Oliger, Adaptive mesh refinement for hyperbolic partial differential equations, Journal of Computational Physics, vol.53, issue.3, pp.484-512, 1984.
DOI : 10.1016/0021-9991(84)90073-1

M. Ersoy, F. Golay, and L. Yushchenko, Adaptive multi-scale scheme based on numerical entropy production for conservation laws, Cent. Eur. J. of Math
URL : https://hal.archives-ouvertes.fr/hal-01338176

F. Golay and P. Helluy, Numerical schemes for low Mach wave breaking, International Journal of Computational Fluid Dynamics, vol.45, issue.2, pp.69-86, 2007.
DOI : 10.1016/S0021-9991(02)00058-X
URL : https://hal.archives-ouvertes.fr/hal-00139634

F. Golay, Numerical entropy production and error indicator for compressible flows, Comptes Rendus M??canique, vol.337, issue.4, pp.233-237, 2009.
DOI : 10.1016/j.crme.2009.04.004
URL : https://hal.archives-ouvertes.fr/hal-00979068

P. Houston, J. A. Mackenzie, E. Süli, and G. Warnecke, A posteriori error analysis for numerical approximations of Friedrichs systems, Numerische Mathematik, vol.82, issue.3, pp.433-470, 1999.
DOI : 10.1007/s002110050426

S. Karni and A. Kurganov, Local error analysis for approximate solutions of hyperbolic conservation laws, Advances in Computational Mathematics, vol.36, issue.1, pp.79-99, 2005.
DOI : 10.1007/s10444-005-7099-8

S. Karni, A. Kurganov, and G. Petrova, A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems, Journal of Computational Physics, vol.178, issue.2, pp.323-341, 2002.
DOI : 10.1006/jcph.2002.7024

S. Müller and Y. Stiriba, Fully Adaptive Multiscale Schemes for Conservation Laws Employing Locally Varying Time Stepping, Journal of Scientific Computing, vol.14, issue.2, pp.493-531, 2007.
DOI : 10.1007/s10915-006-9102-z

S. Osher and R. Sanders, Numerical approximations to nonlinear conservation laws with locally varying time and space grids, Mathematics of Computation, vol.41, issue.164, pp.321-336, 1983.
DOI : 10.1090/S0025-5718-1983-0717689-8

G. Puppo, Numerical Entropy Production for Central Schemes, SIAM Journal on Scientific Computing, vol.25, issue.4, pp.1382-1415, 2003.
DOI : 10.1137/S1064827502386712

G. Puppo, Numerical entropy production on shocks and smooth transitions, SIAM, J. on Sci. Comp, vol.17, pp.1-4263, 2002.

G. Puppo and M. Semplice, Abstract, Communications in Computational Physics, vol.22, issue.05, pp.1132-1160, 2011.
DOI : 10.4208/cicp.250909.210111a

A. Sambe, F. Golay, D. Sous, P. Fraunié, and R. Marcer, Numerical wave breaking with macro-roughness, European Journal of Mechanics - B/Fluids, vol.30, issue.6, pp.577-588, 2011.
DOI : 10.1016/j.euromechflu.2011.03.002
URL : https://hal.archives-ouvertes.fr/hal-00979010

C. W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics, vol.77, issue.2, pp.439-471, 1988.
DOI : 10.1016/0021-9991(88)90177-5

Z. Tan, Z. Zhang, Y. Huang, and T. Tang, Moving mesh methods with locally varying time steps, Journal of Computational Physics, vol.200, issue.1, pp.347-367, 2004.
DOI : 10.1016/j.jcp.2004.04.007