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 ...
SIAM Journal on Numerical Analysis, Vol. 26, No. 2 (Apr., 1989), pp. 414-429 (16 pages) Implicit Runge-Kutta-Nyström (RKN) methods are constructed for the integration of second-order differential ...
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