The Stability of the Fourth Order Runge-Kutta Method for the Solution of Systems of Differential Equations The problem of the region of stability of the fourth order-Runge-Kutta method for the solution of systems of differential equations is studied. This region can be characterized by means of linear transformation but can not be given in a closed form. In the paper, this region is determined by the electronic digital computer Z22. CACM February, 1966 Karim, A. I. A. CA660211 JB March 3, 1978 2:31 PM 1473 5 1473 1473 5 1473 1473 5 1473