@inproceedings{60ecb0c2469b4aa588e1bc3222f96575,
title = "A Convergence Result for the Euler-Maruyama Method for a Simple Stochastic Differential Equation with Discontinuous Drift",
abstract = "The Euler-Maruyama method is applied to a simple stochastic differential equation (SDE) with discontinuous drift. Convergence aspects are investigated in the case, where the Euler-Maruyama method is simulated in dyadic points. A strong rate of convergence is presented for the numerical simulations and it is shown that the produced sequences converge almost surely. This is an improvement of the general result for SDEs with discontinuous drift, i.e. that the Euler-Maruyama approximations converge in probability to a strong solution of the SDE. A numerical example is presented together with a confidence interval for the numerical solutions.",
author = "Maria Simonsen and Henrik Schi{\o}ler and John-Josef Leth and Horia Cornean",
year = "2014",
doi = "10.1109/ACC.2014.6859208",
language = "English",
isbn = "978-1-4799-3272-6",
series = "American Control Conference",
publisher = "IEEE Press",
pages = "5180 -- 5185",
booktitle = "American Control Conference (ACC), 2014",
note = "2014 American Control Conference (ACC) ; Conference date: 04-06-2014 Through 06-06-2014",
}