@Article{JCM-17-441, author = {Zhao , Jing-JunLiu , Ming-Zhu and Qiu , Shen-Shan}, 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 = {

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 $u'(t)=A(t)u(t)+B(t)u(τ(t))$ with $τ(t)$ and $A(t), B(t)$ continuous matrix functions. The stability regions for the three $θ$-methods are determined.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9115.html} }