Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems

One-leg methods and linear multistep methods are two class of important num erical methods applied to stiff initial value problems of ordinary differen tial equations. The purpose of this paper is to present some convergence re sults of A-stable one-leg and linear multistep methods for one-parameter mu ltiply stiff singular perturbation problems and their corresponding reduced problems which are a class of stiff differential-algebraic equations.