@Article{JCM-18-199, author = {Zhang , Cheng-Jia and Liao , Xiao-Xin}, 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 = {

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 {$p,q+1$}.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9035.html} }