Preprint des Projektes: SFB 701: Spektrale Strukturen und Topologische Methoden in der Mathematik - Projekt A2

Numerische Spektralanalyse unendlich-dimensionaler Transferoperatoren

08-053 Janosch Rieger.
Shadowing and the Viability Kernel Algorithm

The aim of this paper is to derive estimates for the accuracy of the viability algorithm for systems which have shadowing properties. Recently developped shadowing results are applied in order to prove that the algorithm is linearly convergent for a certain class of right hand sides.