Strong approximations of BSDEs in a domain

DOI10.3150/08-BEJ181zbMath1204.60048arXiv0710.1519OpenAlexW2152068522MaRDI QIDQ605887

Bruno Bouchard, Stéphane Menozzi

Publication date: 15 November 2010

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1519

zbMATH Keywords

first boundary value problembackward SDEsdiscrete-time approximation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (6)

A forward-backward probabilistic algorithm for the incompressible Navier-Stokes equations ⋮ Numerical computation for backward doubly SDEs with random terminal time ⋮ Strong approximations of BSDEs in a domain ⋮ Branching diffusion representation of semi-linear elliptic PDEs and estimation using Monte Carlo method ⋮ Stability of backward stochastic differential equations: the general Lipschitz case ⋮ Numerical schemes for multivalued backward stochastic differential systems

Cites Work

• Unnamed Item
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• Strong approximations of BSDEs in a domain
• Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations
• Error expansion for the discretization of backward stochastic differential equations
• A new regularity estimate for solutions of singular parabolic equations
• Backwards SDE with random terminal time and applications to semilinear elliptic PDE
• A quantization algorithm for solving multidimensional discrete-time optimal stopping problems
• A numerical scheme for BSDEs
• Path regularity for solutions of backward stochastic differential equations
• Backward stochastic differential equations and partial differential equations with quadratic growth.
• Weak approximation of killed diffusion using Euler schemes.
• Functionals of Dirichlet processes, the Cifarelli-Regazzini identity and beta-gamma processes
• Discrete-time approximation of decoupled Forward-Backward SDE with jumps
• Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
• Exact approximation rate of killed hypoelliptic diffusions using the discrete Euler scheme
• Representations and regularities for solutions to BSDEs with reflections
• A forward-backward stochastic algorithm for quasi-linear PDEs
• Discrete-time approximation for continuously and discretely reflected BSDEs
• Numerical solution of the Dirichlet problem for nonlinear parabolic equations by a probabilistic approach
• Probabilistic interpretation for systems of quasilinear parabolic partial differential equations
• User’s guide to viscosity solutions of second order partial differential equations
• Schéma d'Euler continu pour des diffusions tuées et options barrière
• Discrete Sampling of Functionals of Ito Processes
• An interpolated stochastic algorithm for quasi-linear PDEs

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