Linear Multistep Methods and Order Stars: Some Properties
DOI:
https://doi.org/10.5540/tema.2008.09.02.0233Abstract
Order stars theory, introduced by Wanner et al (1978), have become a fundamental tool for understanding of order and stability properties of numerical methods. In this work we intend to study some properties of numerical linear multistep methods using this theory.References
[1] L.V.Ahlfors, “Analisis de Variable Compleja”, Aguilar, Madrid, 1966.
J.B. Conway, “Functions of One Complex Variable”, Springer-Verlag, New York, 1978.
E. Hairer, G. Wanner, “Order Stars and Stiff Integrators”, Section de mathématiques CH-1211, Université de Genève, Switzerland, 1999.
P. Henrici, “Discrete Variable Methods in Ordinary Differential Equations”, John Wiley & Sons, New York, 1962.
P. Henrici, “Elements of Numerical Analysis”, John Wiley & Sons, New York,1964.
A. Iserles, S.P. Nørsett, “Order Stars”, Chapmam & Hall, London, 1991.
J.D. Lambert,“Computational Methods in Ordinary Differential Equations”, John Wiley & Sons, London, 1973.
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