Numerical simulation of BSDEs with drivers of quadratic growth

preprint2012arXivOpen access

Abstract

This article deals with the numerical resolution of Markovian backward stochastic differential equations (BSDEs) with drivers of quadratic growth with respect to zz and bounded terminal conditions. We first show some bound estimates on the process ZZ 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.

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