Stability of General Linear Methods for Systems of Functional-Differential and Functional Equations
Keywords:
Hybrid systems, Functional-differential equations, Functional equations, General linear methods, Numerical stability.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.