Preprint of the project: SFB 701: Spectral Structures and Topological Methods in Mathematics - Project B3

Numerical Analysis of equivariant evolution equations

12-040 Wolf-Jürgen Beyn, Janosch Rieger.
A numerical method for the solution of relaxed one-sided Lipschitz algebraic inclusions


An existing solvability result for relaxed one-sided Lipschitz algebraic inclusions is substantially improved. This enhanced solvability result allows the design of a robust iterative method for the numerical solution of the algebraic inclusion. Sharp error estimates for this method, illustrative analytic examples and a numerical example are provided.