A Generalization of Algebraic Stability for Runge--Kutta Methods

1 October 1984

journal article
research article
Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis

Vol. 4 (4) , 427-440
https://doi.org/10.1093/imanum/4.4.427

Abstract

The theory of algebraic stability does not give detailed information about the stability properties of explicit methods. This theory is generalized by considering a monotonic and bounded test problem. The results give additional information about the stability properties of explicit and implicit methods and show how particular explicit methods may be selected.

Keywords

ALGEBRAIC STABILITY
MONOTONIC
IMPLICIT
EXPLICIT METHODS
STABILITY PROPERTIES
GIVE
RUNGE
KUTTA

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