@Article{JCM-17-4,
author = {Zhao, Jing-Jun and Ming-Zhu, Liu and Shen-Shan, Qiu},
title = {The Stability of the $θ$-Methods for Delay Differential Equations},
journal = {Journal of Computational Mathematics},
year = {1999},
volume = {17},
number = {4},
pages = {441--448},
abstract = {<p style="text-align: justify;">This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three $θ$-methods in the solution of the linear test equation $u&#39;(t)=A(t)u(t)+B(t)u(τ(t))$ with $τ(t)$ and $A(t), B(t)$ continuous matrix functions. The stability regions for the three $θ$-methods are determined.</p>},
issn = {1991-7139},
doi = {https://doi.org/1999-JCM-9115},
url = {https://global-sci.com/article/85640/the-stability-of-the-th-methods-for-delay-differential-equations}
}