TY - JOUR
T1 - Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays
AU - Cong , Yuhao
AU - Wu , Shouyan
JO - Journal of Computational Mathematics
VL - 3
SP - 484
EP - 498
PY - 2022
DA - 2022/02
SN - 40
DO - http://doi.org/10.4208/jcm.2011-m2018-0241
UR - https://global-sci.org/intro/article_detail/jcm/20248.html
KW - Neutral systems with distributed delays, Linear multistep methods, Delay-dependent stability, Argument principle.
AB - <p style="text-align: justify;">This paper considers the asymptotic stability of linear multistep (LM) methods for neutral systems with distributed delays. In particular, several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument principle. Compound quadrature formulae are used to compute the integrals. An algorithm is proposed to examine the delay-dependent stability of numerical solutions. Several numerical examples are performed to verify the theoretical results.</p>