J. Álvarez and  J. Rojo
Special methods for the numerical integration of some ODEs systems
The Third Word Congress of Nonlinear Analyst (WCNA-2000), July 19-26, 2000, Catania, Sicily, Italy
Nonlinear Anal., 47 (2001), pp. 5703-5708.

We investigate a Runge-Kutta like method of order three with two evaluations per step, for the numerical integration of separated systems of ODEs. The formula being L-stable do not require Jacobian evaluations. Some numerical examples are discussed in order to show the good performance of the new scheme when applied to stiff systems.
AMS(MOS) subject classification: 65L05, 65L07, 65L20

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