Stability of Runge-Kutta-Nyström methods

11Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

Abstract

In this paper, a general and detailed study of linear stability of Runge-Kutta-Nyström (RKN) methods is given. In the case that arbitrarily stiff problems are integrated, we establish a condition that RKN methods must satisfy so that a uniform bound for stability can be achieved. This condition is not satisfied by any method in the literature. Therefore, a stable method is constructed and some numerical comparisons are made. © 2005 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Alonso-Mallo, I., Cano, B., & Moreta, M. J. (2006). Stability of Runge-Kutta-Nyström methods. In Journal of Computational and Applied Mathematics (Vol. 189, pp. 120–131). https://doi.org/10.1016/j.cam.2005.01.005

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free