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

Numerical analysis of high-dimensional transfer operators

06-045 Wolf-Jürgen Beyn, Janosch Rieger.
Numerical Fixed Grid Methods for Differential Inclusions

Numerical methods for initial value problems for differential inclusions usually require a discretization of times as well as of the set valued right hand side. In this paper, two numerical fixed grid methods for the approximation of the full solution set are proposed and analyzed. Convergence results are proved which show the combined influence of time and (phase) space discretization.