Regularity properties of Runge-Kutta methods for ordinary differential equations

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...

Full description

Saved in:
Bibliographic Details
Published inApplied numerical mathematics Vol. 22; no. 1; pp. 251 - 262
Main Authors Jackiewicz, Z., Vermiglio, R., Zennaro, M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.1996
Subjects
Asymptotic values
Ordinary differential equation
Runge-Kutta method
Asymptotic values
Ordinary differential equation
Runge-Kutta method
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0168-9274
1873-5460
DOI:10.1016/S0168-9274(96)00036-0