A note on Euler approximations for stochastic differential equations involving the local time at point zero

Abstract We consider the Euler–Maruyama method (EM) and the tamed Euler–Maruyama method (TEM) for stochastic differential equations involving the local time at point zero. We provide the rate of strong convergence where the drift coefficient satisfies a one-sided Lipschitz condition and the diffusion coefficient is global Lipschitz.