@Article{JCM-18-2,
author = {Zhang, Cheng-Jia and Xiao-Xin, Liao},
title = {D-Convergence and Stability of a Class of Linear Multistep Methods for Nonlinear DDEs},
journal = {Journal of Computational Mathematics},
year = {2000},
volume = {18},
number = {2},
pages = {199--206},
abstract = {<p style="text-align: justify;">This paper deals with the error behaviour and the stability analysis of a class of linear multistep methods with the Lagrangian interpolation (LMLMs) as applied to the nonlinear delay differential equations (DDEs). It is showtn that a LMLM is generally stable with respect to the problem of class $D_{σγ}$, and a p-order linear multistep method together with a q-order Lagrangian interpolation leads to a D-convergent LMLM of order min {$p,q+1$}. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/2000-JCM-9035},
url = {https://global-sci.com/article/85543/d-convergence-and-stability-of-a-class-of-linear-multistep-methods-for-nonlinear-ddes}
}