, On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman Equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.36, issue.1, pp.33-54, 2002.
DOI : 10.1051/m2an:2002002
, Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations, Mathematics of Computation, vol.76, issue.260, pp.540-558, 2005.
DOI : 10.1090/S0025-5718-07-02000-5
URL : https://hal.archives-ouvertes.fr/hal-00017877
, 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
, 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
, 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
, 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
, A Martingale Characterization of Consumption Choices and Hedging Costs with Margin Requirements, Mathematical Finance, vol.10, issue.3, pp.355-385, 2000.
DOI : 10.1111/1467-9965.00099
, Semi-Lagrangian schemes for linear and fully non-linear diffusion equations, Mathematics of Computation, vol.82, issue.283, pp.1433-1462, 2012.
DOI : 10.1090/S0025-5718-2012-02632-9
URL : http://arxiv.org/abs/0910.1046
, Large Deviations Techniques and Applications, volume 38 of Stochastic Modelling and Applied Probability, 2010.
, Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations, SIAM, vol.133
DOI : 10.1137/1.9781611973051
URL : https://hal.archives-ouvertes.fr/hal-00916055
, Introduction to Numerical Analysis, 1956.
, Numerical Solution of Stochastic Differential Equations, 1992.
, The asymptotic elasticity of utility functions and optimal investment in incomplete markets, The Annals of Applied Probability, vol.9, issue.3, pp.904-950, 1999.
DOI : 10.1214/aoap/1029962818
, On the rate of convergence of finite-difference approximations for Bellman's equations, St. Petersburg Math. J, vol.9, pp.639-650, 1997.
, Approximating Value Functions for Controlled Degenerate Diffusion Processes by Using Piece-Wise Constant Policies, Electronic Journal of Probability, vol.4, issue.0, pp.1-19, 1999.
DOI : 10.1214/EJP.v4-39
, On the rate of convergence of finite-difference approximations for Bellmans equations with variable coefficients, Probability Theory and Related Fields, vol.117, issue.1, pp.1-16, 2000.
DOI : 10.1007/s004400050264
, Mean value theorems for stochastic integrals, The Annals of Probability, vol.29, issue.1, pp.385-410, 2001.
DOI : 10.1214/aop/1008956335
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.6270
, Numerical Methods for Stochastic Control Problems in Continuous Time, 2001.
, Some Estimates for Finite Difference Approximations, SIAM Journal on Control and Optimization, vol.27, issue.3, pp.579-607, 1989.
DOI : 10.1137/0327031
, Numerical Integration of Stochastic Differential Equations, 1995.
DOI : 10.1007/978-94-015-8455-5
, Continuous-time Stochastic Control and Optimization with Financial Applications, Series Stochastic Modeling and Applied Probability, 2009.
DOI : 10.1007/978-3-540-89500-8
URL : https://hal.archives-ouvertes.fr/hal-00401892
, Duality in constrained optimal investment and consumption problems: a synthesis, Number 1814 in Paris?Priceton Lectures on Mathematical Finance, 2002.
DOI : 10.1007/978-3-540-44859-4_3
, Stochastic Controls: Hamiltonian Systems and HJB Equations, Applications of Mathematics, vol.43, 1999.
DOI : 10.1007/978-1-4612-1466-3