English

The Euler scheme for state constrained ordinary differential inclusions

Numerical Analysis 2015-06-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1506.01912,
  title  = {The Euler scheme for state constrained ordinary differential inclusions},
  author = {Janosch Rieger},
  journal= {arXiv preprint arXiv:1506.01912},
  year   = {2015}
}
R2 v1 2026-06-22T09:47:57.746Z