@Article{JCM-20-6,
author = {Zhang, Cheng-Jian},
title = {Nonlinear Stability of Natural Runge-Kutta Methods for Neutral Delay Differential Equations},
journal = {Journal of Computational Mathematics},
year = {2002},
volume = {20},
number = {6},
pages = {583--590},
abstract = {<p style="text-align: justify;">This paper first presents the stability analysis of theoretical solutions for a class of nonlinear neutral delay-differential equations (NDDEs). Then the numerical analogous results, of the natural Runge-Kutta (NRK) methods for the same class of nonliner NDDEs, are given. In particular, it is shown thar the ($k,l$)-algebraic stability of a RK method for ODEs implies the generalized asymptotic stability and the global stability of the induced NRK method.</p>},
issn = {1991-7139},
doi = {https://doi.org/2002-JCM-8943},
url = {https://global-sci.com/article/85433/nonlinear-stability-of-natural-runge-kutta-methods-for-neutral-delay-differential-equations}
}