Numerische Approximation und Spektrale Analysis unendlich-dimensionaler Dynamischer Systeme
01-005 Gyula Farkas.
Small delay inertial manifolds under numerics: A
numerical structural stability result
In this paper we formulate a numerical
structural stability result for delay equations with small
delay under Euler discretization. The main ingrediences of our
approach are the existence and smoothness of small delay
inertial manifolds, the C1-closeness of the small delay inertial manifolds and their
numerical approximation and M.-C. Li's recent result on
numerical structural stability of ordinary differential
equations under the Euler method.
