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Regularity properties of Runge-Kutta methods for ordinary differential equations

✍ Scribed by Z. Jackiewicz; R. Vermiglio; M. Zennaro

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 518 KB
Volume: 22
Category: Article
ISSN: 0168-9274
DOI: 10.1016/s0168-9274(96)00036-0

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✦ Synopsis

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.

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