Preprint of the project: SFB 701: Spectral Structures and Topological Methods in Mathematics - Project A2

Numerical analysis of high-dimensional transfer operators

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.