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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. 9, No. 3 (Sep., 1972), pp. 389-405 (17 pages) Conditions are derived which suffice to establish the order of a Runge-Kutta method. Basic implicit and explicit ...
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