E. A. Novikov, A. O. Tuzov, “Six-stages method of order 3 for the solution of additive stiff systems”, Sib. Zh. Vychisl. Mat., 2007, Volume 10, Number 3,Pages <nobr>307

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Six-stages method of order 3 for the solution of additive stiff systems

E. A. Novikov, A. O. Tuzov

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences

Abstract: In this paper, we construct a method of the third order of accuracy to solve additive autonomous stiff systems of ordinary differential equations. Inequalities for accuracy control are obtained. The results of calculations are presented.

Key words: stiff systems, additive systems, one-step methods, Runge–Kutta methods, $(m,k)$-methods,.

UDC: 519.622

Received: 04.07.2006
Revised: 28.09.2006