Abstract
The present paper pursues the study of contractivity properties of Runge-Kutta methods for ODEs with respect to forcing terms which has been started in the papers by Torelli (1991) and Bellen and Zennaro (1992). Whereas these two papers addressed only the case of implicit methods for the discussion of optimal stability properties, here also explicit methods are considered and the regions of stability are introduced and investigated. Some of the problems opened in Bellen and Zennaro (1992) are partially settled and many examples of methods up to order p = 4 are discussed.
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