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math.NA2013
Robust boundary tracking for reachable sets of nonlinear differential inclusions
Janosch Rieger
The Euler scheme is up to date the most important numerical method for ordinary differential inclusions, because the use of the available higher-order methods is prohibited by thei…
math.NA2013
Semi-implicit Euler schemes for ordinary differential inclusions
Janosch Rieger
Two semi-implicit Euler schemes for differential inclusions are proposed and analyzed in depth. An error analysis shows that both semi-implicit schemes inherit favorable stability…
math.OC2013
A numerical method for the solution of relaxed one-sided Lipschitz algebraic inclusions
Wolf-Jürgen Beyn, Janosch Rieger
An existing solvability result for relaxed one-sided Lipschitz algebraic inclusions is substantially improved. This enhanced solvability result allows the design of a very robust n…