G. Costeseque and J. Lebacque, Intersection Modeling using a Convergent Scheme based on Hamilton-Jacobi Equation, Procedia - Social and Behavioral Sciences, vol.54, pp.343-363, 2012.
DOI : 10.1016/j.sbspro.2012.09.791
URL : http://doi.org/10.1016/j.sbspro.2012.09.791

R. Eymard, T. Gallouet, and R. Herbin, Finite volume methods, Handbook of Numerical Analysis. chapter, vol.7, issue.1, pp.713-1020, 2000.
DOI : 10.1016/S1570-8659(00)07005-8
URL : https://hal.archives-ouvertes.fr/hal-00346077

Y. Jiang, S. Wong, H. Ho, P. Zhang, R. Liu et al., A dynamic traffic assignment model for a continuum transportation system, Transportation Research Part B: Methodological, vol.45, issue.2, pp.343-363, 2011.
DOI : 10.1016/j.trb.2010.07.003

M. Keyvan-ekbatani, A. Kouvelas, I. Papamichail, and M. Papageorgiou, Exploiting the fundamental diagram of urban networks for feedback-based gating, Transportation Research Part B: Methodological, vol.46, issue.10, pp.1393-1403, 2012.
DOI : 10.1016/j.trb.2012.06.008

M. Keyvan-ekbatani, M. Papageorgiou, and V. L. Knoop, Controller design for gating traffic control in presence of time-delay in urban road networks, Transport. Res. Part C, 2015.

M. Keyvan-ekbatani, M. Yildirimoglu, N. Geroliminis, and M. Papageorgiou, Multiple Concentric Gating Traffic Control in Large-Scale Urban Networks, IEEE Transactions on Intelligent Transportation Systems, vol.16, issue.4, pp.1-14, 2015.
DOI : 10.1109/TITS.2015.2399303

J. P. Lebacque and M. Khoshyaran, A variational formulation for higher order macroscopic traffic flow models of the gsom family, Procedia- Social and Behavioral Sciences, vol.83, pp.370-394, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01215014

R. J. Leveque, Wave Propagation Algorithms for Multidimensional Hyperbolic Systems, Journal of Computational Physics, vol.131, issue.2, pp.327-353, 1996.
DOI : 10.1006/jcph.1996.5603

R. J. Leveque and K. M. Shyue, Two-Dimensional Front Tracking Based on High Resolution Wave Propagation Methods, Journal of Computational Physics, vol.123, issue.2, pp.354-368, 1996.
DOI : 10.1006/jcph.1996.0029

L. M. Prez and F. G. Benitez, Traffic flow continuum modeling by hypersingular boundary integral equations, International journal for numerical methods in engineering, vol.82, pp.47-63, 2010.

T. Saumtally, Modèles bidimensionnels de trafic. PhD dissertation, 2013.

T. Saumtally, J. P. Lebacque, and H. Haj-salem, A dynamical two-dimensional traffic model in an anisotropic network. Networks and Heterogeneous Media, pp.663-684, 2013.

J. Vides, B. Nkonga, and E. Audit, A Simple Two-Dimensional Extension of the HLL Riemann Solver for Gas Dynamics, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00998235

S. Wong, Multi-commodity traffic assignment by continuum approximation of network flow with variable demand, Transportation Research Part B: Methodological, vol.32, issue.8, pp.567-581, 1998.
DOI : 10.1016/S0191-2615(98)00018-6

H. Yang, S. Yagar, and Y. Iida, Traffic assignment in a congested discrete/ continuous transportation system, Transportation Research Part B: Methodological, vol.28, issue.2, pp.161-174, 1994.
DOI : 10.1016/0191-2615(94)90023-X