@Article{JCM-14-203, 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 = {

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 $\tau >0$, $a(t)$ 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 $\theta =1.$

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9231.html} }