%0 Journal Article %T Rosenbrock-type methods applied to discontinuous differential systems %A Marco Berardi %J Mathematics %D 2012 %I arXiv %X In this paper we will study the numerical solution of a discontinuous differential system by a Rosenbrock method. We will also focus on one-sided approach in the context of Rosenbrock schemes, and we will suggest a technique based on the use of continuous extension, in order to locate the event point, with an application to discontinuous singularly perturbed systems. %U http://arxiv.org/abs/1211.3933v1