New stability concepts--BS-stability and BSI-stability (internal BS-stability)--are introduced. BS-stability is a modification and extension of B-stability and enables the derivation of order results ...

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 ...