Saved in:
Bibliographic Details
Main Authors: Jia, Guangyan, Luo, Peng, Zhu, Mengbo
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.25719
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866917540039491584
author Jia, Guangyan
Luo, Peng
Zhu, Mengbo
author_facet Jia, Guangyan
Luo, Peng
Zhu, Mengbo
contents In this paper, we study the convergence rate between reflected backward stochastic differential equations with quadratic generators and their penalized BSDEs. Using techniques of BMO martingales, we prove the convergence rate is at order $\frac{1}{2}$ as a function of the penalty parameter. Finally, the result is applied to study numerical approximation of reflected BSDEs with sub-quadratic generators by the Euler's polygonal line method.
format Preprint
id arxiv_https___arxiv_org_abs_2605_25719
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A note on convergence rate for reflected BSDEs with quadratic generators by penalization method
Jia, Guangyan
Luo, Peng
Zhu, Mengbo
Probability
In this paper, we study the convergence rate between reflected backward stochastic differential equations with quadratic generators and their penalized BSDEs. Using techniques of BMO martingales, we prove the convergence rate is at order $\frac{1}{2}$ as a function of the penalty parameter. Finally, the result is applied to study numerical approximation of reflected BSDEs with sub-quadratic generators by the Euler's polygonal line method.
title A note on convergence rate for reflected BSDEs with quadratic generators by penalization method
topic Probability
url https://arxiv.org/abs/2605.25719