Discrete approximations of singularly perturbed systems

Authors:
Tzanko Donchev;Vasile Lupulescu
Affiliations:
Department of Mathematics, University of Architecture and Civil Engineering, Sofia, Bulgaria;Department of Mathematics, University Constantin Brâncusi, Târgu Jiu, Romania
Venue:
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Year:
2006

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Abstract

In the paper we study discrete approximations of singularly perturbed system in a finite dimensional space. When the right-hand side is almost upper semicontinuous with convex compact values and one-sided Lipschitz we show that the distance between the solution set of the original and the solution set of the discrete system is O(h1/2.