Numerical fixed grid methods for differential inclusions
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Numerical methods for initial value problems for differential inclusions usually require a discretization of time 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.
Keywordsdifferential inclusions numerical methods
AMS Subject Classifications34A60 49J53 65L20
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- Aubin J.P. and Cellina A. (1984). Differential inclusions. Grundlehren der mathematischen Wissenschaften, vol. 264. Springer, Berlin Google Scholar