@Article{JCM-23-37, author = {Si-Qing Gan and Wei-Min Zheng}, title = {Stability of General Linear Methods for Systems of Functional-Differential and Functional Equations}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {1}, pages = {37--48}, abstract = {
This paper is concerned with the numerical solution of functional-differential and functional equations which include functional-differential equations of neutral type as special cases. The adaptation of general linear methods is considered. It is proved that A-stable general linear methods can inherit the asymptotic stability of underlying linear systems. Some general results of numerical stability are also given.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8794.html} }