On the discretization of backward doubly stochastic differential equations, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00402977
A numerical scheme for backward doubly stochastic differential equations, Bernoulli, vol.19, issue.1, pp.93-114, 2013. ,
DOI : 10.3150/11-BEJ391
Numerical computations for backward doubly stochastic differential equations and non-linear stochastic pdes, 2014. ,
URL : https://hal.archives-ouvertes.fr/tel-01211320
Numerical computation for quasilinear SPDEs via generalized backward doubly SDEs ,
Empirical Regression Method for Backward Doubly Stochastic Differential Equations, SIAM/ASA Journal on Uncertainty Quantification, vol.4, issue.1, pp.358-379, 2016. ,
DOI : 10.1137/15M1022094
URL : https://hal.archives-ouvertes.fr/hal-01152886
Numerical scheme for semilinear SPDEs via backward doubly SDEs. Stochastic Partial Differential Equations: Analysis and Computation, pp.1-43, 2016. ,
Construction of asymptotically optimal controls for control and game problems, Probability Theory and Related Fields, vol.111, issue.3, pp.453-467, 1998. ,
DOI : 10.1007/s004400050173
Weak solutions for SPDEs and backward doubly stochastic differential equations, Journal of Theoretical Probability, vol.14, issue.1, pp.125-164, 2001. ,
DOI : 10.1023/A:1007825232513
Backward stochastic differential equations associated to a symmetric Markov process. Potential Anal, pp.17-60, 2005. ,
DOI : 10.1007/s11118-003-6457-8
URL : https://hal.archives-ouvertes.fr/inria-00072163
First time to exit of a continuous It?? process: General moment estimates and ${\mathrm{L}}_{1}$-convergence rate for discrete time approximations, Bernoulli, vol.23, issue.3 ,
DOI : 10.3150/15-BEJ791
Strong approximations of BSDEs in a domain, Bernoulli, vol.15, issue.4, pp.1117-1147, 2009. ,
DOI : 10.3150/08-BEJ181
URL : https://hal.archives-ouvertes.fr/hal-00446316
Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations. Stochastic Process, Appl, vol.111, issue.2, pp.175-206, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00103046
Stochastic viscosity solutions for nonlinear stochastic partial differential equations. I. Stochastic Process, Appl, vol.93, issue.2, pp.181-204, 2001. ,
Stochastic viscosity solutions for nonlinear stochastic partial differential equations. Part II, Stochastic Processes and their Applications, vol.93, issue.2, pp.205-228, 2001. ,
DOI : 10.1016/S0304-4149(00)00092-2
On the Monte Carlo simulation of BSDEs: an improvement on the Malliavin weights. Stochastic Process, Appl, vol.120, issue.7, pp.1133-1158, 2010. ,
Backwards SDE with random terminal time and applications to semilinear elliptic PDE, The Annals of Probability, vol.25, issue.3, pp.1135-1159, 1997. ,
DOI : 10.1214/aop/1024404508
Maximum Principle and Comparison Theorem for Quasi-linear Stochastic PDE's, Electronic Journal of Probability, vol.14, issue.0, pp.500-530, 2009. ,
DOI : 10.1214/EJP.v14-629
URL : http://ejp.ejpecp.org/article/download/629/856/
Moser iteration applied to parabolic SPDE's: first approach, Stochastic partial differential equations and applications, pp.99-125, 2010. ,
A General Analytical Result for Non-linear SPDE's and Applications, Electronic Journal of Probability, vol.9, issue.0, pp.674-709, 2004. ,
DOI : 10.1214/EJP.v9-223
Sch??ma d'Euler continu pour des diffusions tu??es et options barri??re, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.326, issue.12, pp.12-1411, 1998. ,
DOI : 10.1016/S0764-4442(98)80402-3
Weak approximation of killed diffusion using Euler schemes. Stochastic Process, Appl, vol.87, issue.2, pp.167-197, 2000. ,
Méthodes de Monte-Carlo et processus stochastiques: du linéaire au non-linéaire. École Polytechnique, 2013. ,
A regression-based Monte Carlo method to solve backward stochastic differential equations, The Annals of Applied Probability, vol.15, issue.3, pp.3-2172, 2005. ,
DOI : 10.1214/105051605000000412
URL : http://doi.org/10.1214/105051605000000412
Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations, Bernoulli, vol.12, issue.5, pp.889-916, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00394976
Stopped diffusion processes: boundary corrections and overshoot. Stochastic Process, Appl, vol.120, issue.2, pp.130-162, 2010. ,
DOI : 10.1016/j.spa.2009.09.014
URL : https://hal.archives-ouvertes.fr/hal-00446315
Accelerated Finite Difference Schemes for Linear Stochastic Partial Differential Equations in the Whole Space, SIAM Journal on Mathematical Analysis, vol.42, issue.5, pp.2275-2296, 2010. ,
DOI : 10.1137/090781395
Taylor expansions of solutions of stochastic partial differential equations with additive noise, The Annals of Probability, vol.38, issue.2, pp.532-569, 2010. ,
DOI : 10.1214/09-AOP500
Stochastic differential equations and stochastic flows of diffeomorphisms, Lecture Notes in Math, vol.47, pp.143-303, 1984. ,
DOI : 10.1007/BF00535284
Generalized solutions of a stochastic partial differential equation, Journal of Theoretical Probability, vol.3, issue.6, pp.279-308, 1994. ,
DOI : 10.1080/17442507908833142
Stochastic flows acting on Schwartz distributions, Journal of Theoretical Probability, vol.511, issue.2, pp.279-308, 1994. ,
DOI : 10.1515/9783110845563
Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations, Bernoulli, vol.12, issue.5, pp.889-916, 2006. ,
DOI : 10.3150/bj/1161614951
URL : https://hal.archives-ouvertes.fr/hal-00394976
Fully nonlinear stochastic partial differential equations: non-smooth equations and applications, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.327, issue.8, pp.735-741, 1998. ,
DOI : 10.1016/S0764-4442(98)80161-4
Viscosity solutions of fully nonlinear stochastic partial differential equations. S¯ urikaisekikenky¯ usho K¯ oky¯ uroku, pp.1287-58, 2002. ,
Stochastic partial differential equations with singular terminal condition. arXiv:1412 ,
DOI : 10.1016/j.spa.2016.07.002
URL : https://hal.archives-ouvertes.fr/hal-01639665
Semilinear stochastic pde's with nonlinear noise and backward doubly sde's, Journal of Theoretical Probability, vol.15, issue.1, pp.1-39, 2002. ,
DOI : 10.1023/A:1013803104760
Backward doubly stochastic differential equations and systems of quasilinear SPDEs, Probability Theory and Related Fields, vol.38, issue.2, pp.209-227, 1994. ,
DOI : 10.1007/BF01192514
Probabilistic interpretation for systems of quasilinear parabolic partial differential equations, Stochastics Stochastics Rep, vol.37, pp.1-2, 1991. ,
On degenerate elliptic-parabolic operators of second order and their associated diffusions, Communications on Pure and Applied Mathematics, vol.22, issue.6, pp.651-713, 1972. ,
DOI : 10.5802/aif.319
Finite element methods for parabolic stochastic PDE's. Potential Anal, pp.1-43, 2005. ,
DOI : 10.1007/s11118-004-2950-y
A numerical scheme for BSDEs, The Annals of Applied Probability, vol.14, issue.1, pp.459-488, 2004. ,
DOI : 10.1214/aoap/1075828058
URL : http://doi.org/10.1214/aoap/1075828058