J. Álvarez and
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,
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
Preprint file as PDF specia.pdf