We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.
Regularity properties of Runge-Kutta methods for ordinary differential equations
VERMIGLIO, Rossana;
1996-01-01
Abstract
We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.File in questo prodotto:
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1996_appnum_jackiewicz_vermiglio_zennaro.pdf
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