Conditions are investigated which guarantee that Runge-Kutta methods preserve the asymptotic values of systems of delay differential equations, Such methods are said to be strongly regular, A constructive test for strong regularity is derived and examples of such methods are presented for s = p = 2 and s = p = 3, where s is the number of stages and p is the order of the method.
Regularity properties of Runge-Kutta methods for delay differential equations
VERMIGLIO, Rossana;
1997-01-01
Abstract
Conditions are investigated which guarantee that Runge-Kutta methods preserve the asymptotic values of systems of delay differential equations, Such methods are said to be strongly regular, A constructive test for strong regularity is derived and examples of such methods are presented for s = p = 2 and s = p = 3, where s is the number of stages and p is the order of the method.File in questo prodotto:
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1997_appnum_jackiewicz_vermiglio_zennaro.pdf
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