A decomposition approach for the discrete-time approximation of BSDEs with a jump II: the quadratic case

We study the discrete-time approximation for solutions of quadratic forward back- ward stochastic differential equations (FBSDEs) driven by a Brownian motion and a jump process which could be dependent. Assuming that the generator has a quadratic growth w.r.t. the variable z and the terminal condition is bounded, we prove the convergence of the scheme when the number of time steps n goes to infinity. Our approach is based on the companion paper [15] and allows to get a convergence rate similar to that of schemes of Brownian FBSDEs.

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Field Value
Source https://hal.science/hal-00757426
Author Kharroubi, Idris, Lim, Thomas
Maintainer CCSD
Last Updated June 4, 2026, 01:32 (UTC)
Created June 4, 2026, 01:32 (UTC)
Identifier hal-00757426
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) ; Université Paris Dauphine-PSL ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
creator Kharroubi, Idris
date 2012-11-26T00:00:00
harvest_object_id 571bf066-70cf-4de5-8094-e3136b709c6e
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-13T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1211.6231
set_spec type:UNDEFINED