TY - JOUR
T1 - Stability of General Linear Methods for Systems of Functional-Differential and Functional Equations
JO - Journal of Computational Mathematics
VL - 1
SP - 37
EP - 48
PY - 2005
DA - 2005/02
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8794.html
KW - Hybrid systems, Functional-differential equations, Functional equations, General linear methods, Numerical stability.
AB - <p style="text-align: justify;">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. &nbsp;</p>