$\mathcal{H}$-Stability of Runge-Kutta Methods with Variable Stepsize for System of Pantograph Equations
Year: 2004
Author: Yang Xu, Jingjun Zhao, Mingzhu Liu
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 727–734
Abstract
This paper deals with $\mathcal{H}$-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient $A$ and stiffly accurate Runge-Kutta methods are $\mathcal{H}$-stable if and only if the modulus of stability function at infinity is less than 1.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10299
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 727–734
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Delay differential equations Stability Runge-Kutta method.