G. Barles and E. R. Jakobsen, Test 3) Implicit scheme. 'Cropped' stencil with and without mesh refinement Error bounds for monotone approximation schemes for Hamilton?Jacobi?Bellman equations, Table SIAM Journal on Numerical Analysis, vol.11, issue.432, pp.540-558, 2005.

G. Barles and E. R. Jakobsen, Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations, Mathematics of Computation, vol.76, issue.260, pp.1861-1893, 2007.
DOI : 10.1090/S0025-5718-07-02000-5

URL : https://hal.archives-ouvertes.fr/hal-00017877

G. Barles and P. E. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations, 29th IEEE Conference on Decision and Control, pp.271-283, 1991.
DOI : 10.1109/CDC.1990.204046

O. Bokanowski, A. Picarelli, and C. Reisinger, High-order filtered schemes for time-dependent second order HJB equations, 2017. Preprint available at https

L. Bonaventura and R. Ferretti, Semi-Lagrangian Methods for Parabolic Problems in Divergence Form, SIAM Journal on Scientific Computing, vol.36, issue.5, pp.2458-2477, 2014.
DOI : 10.1137/140969713

URL : http://arxiv.org/abs/1405.4509

F. Camilli and M. Falcone, An approximation scheme for the optimal control of diffusion processes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.29, issue.1, pp.97-122, 1995.
DOI : 10.1051/m2an/1995290100971

M. G. Crandall, H. Ishii, and P. Lions, user's guide to viscosity solutions\\ of second order\\ partial differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992.
DOI : 10.1090/S0273-0979-1992-00266-5

K. Debrabant and E. R. Jakobsen, Semi-Lagrangian schemes for linear and fully non-linear diffusion equations, Mathematics of Computation, vol.82, issue.283, pp.1433-1462, 2013.
DOI : 10.1090/S0025-5718-2012-02632-9

URL : http://arxiv.org/abs/0910.1046

M. Falcone and R. Ferretti, Semi-Lagrangian Approximation Schemes for Linear and Hamilton?Jacobi Equations, Society for Industrial and Applied Mathematics
DOI : 10.1137/1.9781611973051

URL : https://hal.archives-ouvertes.fr/hal-00916055

X. Feng and M. Jensen, Convergent Semi-Lagrangian Methods for the Monge--Amp?re Equation on Unstructured Grids, SIAM Journal on Numerical Analysis, vol.55, issue.2, pp.691-712, 2017.
DOI : 10.1137/16M1061709

R. Ferretti, On the relationship between Semi-Lagrangian and Lagrange?Galerkin schemes, Numerische Mathematik, vol.11, issue.1, pp.31-56, 2013.
DOI : 10.1007/s00211-012-0505-5

P. Lions, Optimal control of diffusion processes and hamilton???jacobi???bellman equations part 2 : viscosity solutions and uniqueness, Communications in Partial Differential Equations, vol.25, issue.11, pp.1229-1276, 1983.
DOI : 10.1007/3-540-28999-2

T. J. Lyons, Uncertain volatility and the risk-free synthesis of derivatives, Applied Mathematical Finance, vol.20, issue.2, pp.117-133, 1995.
DOI : 10.1002/cpa.3160450103

J. Menaldi, Some Estimates for Finite Difference Approximations, SIAM Journal on Control and Optimization, vol.27, issue.3, pp.579-607, 1989.
DOI : 10.1137/0327031

D. M. Pooley, P. A. Forsyth, and K. R. Vetzal, Numerical convergence properties of option pricing PDEs with uncertain volatility, IMA Journal of Numerical Analysis, vol.23, issue.2, pp.241-267, 2003.
DOI : 10.1093/imanum/23.2.241

C. Reisinger and J. R. Arto, Boundary Treatment and Multigrid Preconditioning for Semi-Lagrangian Schemes Applied to Hamilton?Jacobi?Bellman Equations, Journal of Scientific Computing, vol.24, issue.2, pp.198-230, 2017.
DOI : 10.1017/S0962492915000021

URL : http://doi.org/10.1007/s10915-016-0351-1