Some fine properties of backward stochastic differential equations
By Jianfeng Zhang. 2001
60 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/035ac991024cfa4ec93801bcb6f3a3c505810ef0
How researchers see this paper
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- Nizar Touzi
- Christian Bender
- H. M. Soner
- Bruno Bouchard
- Patrick Cheridito
- Marcel Nutz
- Romuald Elie
- D. Crisan
Citations in the corpus
- A numerical scheme for BSDEs (2004, background): “3 of [22], Z is also càdlàg if, in addition to Assumption 2.”
- Time discretization and Markovian iteration for coupled FBSDEs (2008, methodology): “Otherwise the FBSDE is decoupled and the Theorem is proved in Zhang (2004). We follow similar arguments as in Theorem 5.”
- Second‐order backward stochastic differential equations and fully nonlinear parabolic PDEs (2005, methodology): “Then, we have lim sup N→∞ √ N |Y N s − v(s, x)| < ∞ ; see, for instance, Zhang [52], Bally and Pagès [3], Bouchard and Touzi [9], and Gobet et al.”
- Discrete time approximation of decoupled Forward-Backward SDE with jumps (2008, methodology): “This extends to our framework the remarkable result derived by Zhang [28, 29] in the no-jump case and allows us to show that our discrete-time scheme achieves the optimal convergence rate n−1/2.”
- Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004, background): “Notice that (Y π, Zπ) differs from the approximation scheme suggested in [27] which involves the computation of (2d+ 1) conditional expectations at each step.”