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arxiv: 1506.01912 · v1 · pith:YJNT6ZS3new · submitted 2015-06-05 · 🧮 math.NA

The Euler scheme for state constrained ordinary differential inclusions

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keywords schemestateconstraineddifferentialeulerinclusionsordinaryanalyze
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We propose and analyze a variation of the Euler scheme for state constrained ordinary differential inclusions under weak assumptions on the right-hand side and the state constraints. Convergence results are given for the space-continuous and the space-discrete versions of this scheme, and a numerical example illustrates in which sense these limits have to be interpreted.

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