Preprint of the project: SFB 701: Spectral Structures and Topological Methods in Mathematics - Project A2
Numerical analysis of high-dimensional transfer operators
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.