@Article{JCM-14-3,
author = {},
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/1996-JCM-9231},
url = {https://global-sci.com/article/85785/the-stability-analysis-of-the-th-methods-for-delay-differential-equations}
}