On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives, SIAM Review, vol.53, issue.3, pp.409-463, 2005. ,
DOI : 10.1137/090746677
Nonlinear waves in networks: Model reduction for the sine-Gordon equation, Physical Review E, vol.90, issue.2, p.22912, 2006. ,
DOI : 10.1103/PhysRevE.90.022912
Bore formation, evolution and disintegration into solitons in shallow inhomogeneous channels, Nonlinear Processes in Geophysics, vol.10, issue.4/5, pp.407-424, 2003. ,
DOI : 10.5194/npg-10-407-2003
URL : https://hal.archives-ouvertes.fr/hal-00331067
-System at a Junction, SIAM Journal on Mathematical Analysis, vol.39, issue.5, pp.1456-1471, 2005. ,
DOI : 10.1137/060665841
URL : https://hal.archives-ouvertes.fr/hal-00107943
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations, European Journal of Applied Mathematics, vol.9, issue.05, pp.761-787, 2013. ,
DOI : 10.1017/S0022112065000745
URL : https://hal.archives-ouvertes.fr/hal-00587994
The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation, European Journal of Mechanics - B/Fluids, vol.30, issue.6, pp.598-615, 2011. ,
DOI : 10.1016/j.euromechflu.2011.05.005
Leçons sur la géométrie élémentaire, Librairie Armand Colin, issue.8, 1906. ,
Assessment of coupling conditions in water way intersections, International Journal for Numerical Methods in Fluids, vol.48, issue.3, pp.711438-1460, 2005. ,
DOI : 10.1002/fld.3719
Riemann Problems with a Kink, SIAM Journal on Mathematical Analysis, vol.30, issue.3, pp.497-515, 1999. ,
DOI : 10.1137/S0036141097327033
One-Dimensional Hydrodynamic Flow in Complex Networks and Some Generalizations, SIAM Journal on Applied Mathematics, vol.51, issue.4, pp.948-966, 1991. ,
DOI : 10.1137/0151047
Solitary waves in forked channel regions, Journal of Fluid Mechanics, vol.16, pp.544-568 ,
DOI : 10.1016/S0167-2789(97)00249-2
On Junctions in a Network of Canals, Control Theory of Partial Differential Equations, pp.207-212, 2005. ,
Contribution à l'étude des écoulements permanents et variables dans les canaux, pp.374-388, 1953. ,
Contribution à l'étude des écoulements permanents et variables dans les canaux, pp.830-872, 1953. ,
The MATLAB ODE Suite, SIAM Journal on Scientific Computing, vol.18, issue.1, pp.1-22, 1997. ,
DOI : 10.1137/S1064827594276424
URL : https://hal.archives-ouvertes.fr/hal-01333731
Water waves, the mathematical theory with applications, 1958. ,
Linear and nonlinear waves, p.23, 1999. ,
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