On the equivalence of BS-stability and B-consistency

Among several stability and consistency concepts for Runge-Kutta methods applied to stiff initial value problems, BS-stability and B-consistency turn out to be equivalent for initial value problems with a one-sided Lipschitz constantm 0. In addition to this result, it is shown that the same holds for their internal counterparts.This paper was written while this author was visiting the Centre for Mathematics and Computer Science with an Erwin-Schrödinger stipend from the Fonds zur Förderung der wissenschaftlichen Forschung.