Preprint des Projektes: DFG Forschergruppe Spektrale Analysis, asymptotische Verteilungen und stochastische Prozesse

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.