Convergence of the tamed-Euler-Maruyama method for SDEs with discontinuous and polynomially growing drift
Numerical Analysis
2024-01-12 v4 Numerical Analysis
Probability
Abstract
Numerical methods for SDEs with irregular coefficients are intensively studied in the literature, with different types of irregularities usually being attacked separately. In this paper we combine two different types of irregularities: polynomially growing drift coefficients and discontinuous drift coefficients. For SDEs that suffer from both irregularities we prove strong convergence of order of the tamed-Euler-Maruyama scheme from [Hutzenthaler, M., Jentzen, A., and Kloeden, P. E., The Annals of Applied Probability, 22(4):1611-1641, 2012].
Keywords
Cite
@article{arxiv.2212.08839,
title = {Convergence of the tamed-Euler-Maruyama method for SDEs with discontinuous and polynomially growing drift},
author = {Kathrin Spendier and Michaela Szölgyenyi},
journal= {arXiv preprint arXiv:2212.08839},
year = {2024}
}