Using the s stages of an explicit Runge-Kutta method of order p, approximations of various lower orders may be obtained. A linear system of equations classifies and characterizes parameters of all ...

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 ...