Numerical simulation of BSDEs with drivers of quadratic growth
Probability
2012-01-10 v4
Abstract
This article deals with the numerical resolution of Markovian backward stochastic differential equations (BSDEs) with drivers of quadratic growth with respect to and bounded terminal conditions. We first show some bound estimates on the process and we specify the Zhang's path regularity theorem. Then we give a new time discretization scheme with a non uniform time net for such BSDEs and we obtain an explicit convergence rate for this scheme.
Keywords
Cite
@article{arxiv.1001.0401,
title = {Numerical simulation of BSDEs with drivers of quadratic growth},
author = {Adrien Richou},
journal= {arXiv preprint arXiv:1001.0401},
year = {2012}
}