@Article{JCM-14-203,
author = {H. J. Tian and J. X. Kuang},
title = {The Stability Analysis of the $θ$-Methods for Delay Differential Equations},
journal = {Journal of Computational Mathematics},
year = {1996},
volume = {14},
number = {3},
pages = {203--212},
abstract = {<p style="text-align: justify;">This paper deals with the stability analysis of $\theta -$methods for the numerical solution of delay differential equations (DDEs). We focus on the behaviour of such methods in the solution of the linear test equation $y^{\prime}(t)=a(t)y(t)+b(t)y(t-\tau )$, where $\tau &gt;0$, $a(t)$ and $b(t)$ are functions from $R$ to $C$. It is proved that the linear $\theta -$method and the one-leg $\theta -$method are TGP-stable if and only if $\theta =1.$</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9231.html}
}