TY - JOUR
T1 - The Stability of the $θ$-Methods for Delay Differential Equations
AU - Zhao , Jing-Jun
AU - Liu , Ming-Zhu
AU - Qiu , Shen-Shan
JO - Journal of Computational Mathematics
VL - 4
SP - 441
EP - 448
PY - 1999
DA - 1999/08
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9115.html
KW - Delay differential equations, Numerical solution, Stability, $θ$-methods.
AB - <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>