Mathematics of Computation, Vol. 75, No. 255 (Jul., 2006), pp. 1201-1215 (15 pages) In the present paper, the modified Runge-Kutta method is constructed, and it is proved that the modified Runge-Kutta ...
Important stability concepts for Runge-Kutta methods are I-, A-, and B-stability. For these properties there exist very similar algebraic characterizations. The characterization of B-stability is ...