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 ...

The purpose of this study is the design of efficient methods for the solution of an ordinary differential system of equations arising from the semidiscretization of a hyperbolic partial differential ...