A. Alla, M. Falcone, and D. Kalise, An Efficient Policy Iteration Algorithm for Dynamic Programming Equations, arXiv preprint: 1308, 2087.

D. Balsara, T. Rumpf, M. Dumbser, and C. Munz, Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics, Journal of Computational Physics, vol.228, issue.7, pp.2480-2516, 2009.
DOI : 10.1016/j.jcp.2008.12.003

M. Bardi and I. C. Dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi- Bellman equations, 1997.
DOI : 10.1007/978-0-8176-4755-1

G. Barles and P. E. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations Asymptotic Anal, pp.271-283, 1991.

F. Bauer, L. Gruüne, and W. Semmler, Adaptive spline interpolation for Hamilton???Jacobi???Bellman equations, Applied Numerical Mathematics, vol.56, issue.9, pp.1196-1210, 2006.
DOI : 10.1016/j.apnum.2006.03.011

O. Bokanowski, M. Falcone, R. Ferretti, L. Grüne, D. Kalise et al., Value iteration convergence of ?-monotone schemes for stationary Hamilton-Jacobi equations
URL : https://hal.archives-ouvertes.fr/hal-00989495

O. Bokanowski, J. Garcke, M. Griebel, and I. , An Adaptive Sparse Grid Semi-Lagrangian Scheme for First Order Hamilton-Jacobi Bellman Equations, Journal of Scientific Computing, vol.24, issue.7, pp.575-605, 2013.
DOI : 10.1007/s10915-012-9648-x
URL : https://hal.archives-ouvertes.fr/hal-00741178

O. Bokanowski and H. Zidani, Anti-Dissipative Schemes for Advection and Application to Hamilton???Jacobi???Bellmann Equations, Journal of Scientific Computing, vol.21, issue.5, p.11733, 2007.
DOI : 10.1007/s10915-005-9017-0
URL : https://hal.archives-ouvertes.fr/hal-00878221

S. Bryson, A. Kurganov, D. Levy, and G. Petrova, Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations, IMA Journal of Numerical Analysis, vol.25, issue.1, pp.113-138, 2005.
DOI : 10.1093/imanum/drh015

S. Bryson and D. Levy, Mapped WENO and weighted power ENO reconstructions in semi-discrete central schemes for Hamilton???Jacobi equations, Applied Numerical Mathematics, vol.56, issue.9, pp.1211-1224, 2006.
DOI : 10.1016/j.apnum.2006.03.005

E. Carlini, M. Falcone, and R. Ferretti, An efficient algorithm for Hamilton???Jacobi equations in high dimension, Computing and Visualization in Science, vol.97, issue.1, pp.15-29, 2004.
DOI : 10.1007/s00791-004-0124-5

E. Carlini, R. Ferretti, and G. Russo, A Weighted Essentially Nonoscillatory, Large Time-Step Scheme for Hamilton--Jacobi Equations, SIAM Journal on Scientific Computing, vol.27, issue.3, pp.1071-1091, 2005.
DOI : 10.1137/040608787

M. G. Crandall and P. L. Lions, Two approximations of solutions of Hamilton-Jacobi equations, Mathematics of Computation, vol.43, issue.167, pp.1-19, 1984.
DOI : 10.1090/S0025-5718-1984-0744921-8

M. G. Crandall and A. Majda, Monotone difference approximations for scalar conservation laws, Mathematics of Computation, vol.34, issue.149, pp.1-21, 1980.
DOI : 10.1090/S0025-5718-1980-0551288-3

M. Falcone, NUMERICAL METHODS FOR DIFFERENTIAL GAMES BASED ON PARTIAL DIFFERENTIAL EQUATIONS, International Game Theory Review, vol.08, issue.02, pp.231-272, 2006.
DOI : 10.1142/S0219198906000886

M. Falcone and R. Ferretti, Discrete time high-order schemes for viscosity solutions of Hamilton-Jacobi-Bellman equations, Numerische Mathematik, vol.67, issue.3, pp.315-344, 1994.
DOI : 10.1007/s002110050031

M. Falcone and R. Ferretti, Semi-Lagrangian Schemes for Hamilton???Jacobi Equations, Discrete Representation Formulae and Godunov Methods, Journal of Computational Physics, vol.175, issue.2, pp.559-575, 2002.
DOI : 10.1006/jcph.2001.6954

R. Ferretti, Convergence of Semi-Lagrangian Approximations to Convex Hamilton--Jacobi Equations under (Very) Large Courant Numbers, SIAM Journal on Numerical Analysis, vol.40, issue.6, pp.2240-2253, 2003.
DOI : 10.1137/S0036142901388378

A. Harten and S. Osher, Uniformly High-Order Accurate Nonoscillatory Schemes. I, SIAM Journal on Numerical Analysis, vol.24, issue.2, pp.279-309, 1987.
DOI : 10.1137/0724022

A. Harten, S. Osher, B. Engquist, and S. R. Chakravarthy, Some results on uniformly high-order accurate essentially nonoscillatory schemes, Applied Numerical Mathematics, vol.2, issue.3-5, pp.3-5, 1986.
DOI : 10.1016/0168-9274(86)90039-5

A. Harten, B. Engquist, S. Osher, and R. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes, III, Journal of Computational Physics, vol.71, issue.2, pp.231-303, 1987.
DOI : 10.1016/0021-9991(87)90031-3

X. Liu and S. Osher, Weighted Essentially Non-oscillatory Schemes, Journal of Computational Physics, vol.115, issue.1, pp.200-212, 1994.
DOI : 10.1006/jcph.1994.1187

P. Lions and P. Souganidis, Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations, Numerische Mathematik, vol.69, issue.4, pp.441-470, 1995.
DOI : 10.1007/s002110050102

G. Kossioris, . Ch, P. E. Makridakis, and . Souganidis, Finite volume schemes for Hamilton-Jacobi equations, Numerische Mathematik, vol.83, issue.3, pp.427-442, 1999.
DOI : 10.1007/s002110050457

S. Osher, Convergence of Generalized MUSCL Schemes, SIAM Journal on Numerical Analysis, vol.22, issue.5, pp.947-961, 1985.
DOI : 10.1137/0722057

Y. Zhang and C. Shu, High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes, SIAM Journal on Scientific Computing, vol.24, issue.3, pp.1005-1030, 2002.
DOI : 10.1137/S1064827501396798