Convergence rate of the Euler-Maruyama scheme to density dependent SDEs driven by $\alpha$-stable additive noise
Probability
2024-06-03 v1
Abstract
In this paper, we establish the weak convergence rate of density-dependent stochastic differential equations with bounded drift driven by -stable processes with . The well-posedness of these equations has been previously obtained in \cite{wu2023well}. We derive an explicit convergence rate in total variation for the Euler-Maruyama scheme, employing a technique rooted in \cite{hao2023}.
Keywords
Cite
@article{arxiv.2405.20840,
title = {Convergence rate of the Euler-Maruyama scheme to density dependent SDEs driven by $\alpha$-stable additive noise},
author = {Ke Song and Zimo Hao},
journal= {arXiv preprint arXiv:2405.20840},
year = {2024}
}