Semi-implicit Euler schemes for ordinary differential inclusions
Numerical Analysis
2013-08-19 v1
Abstract
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 properties from the differential inclusion. Their performance is considerably better than that of the implicit Euler scheme, because instead of implicit inclusions only implicit equations have to be solved for computing their images. In addition, they are more robust with respect to spatial discretization than the implicit Euler scheme.
Keywords
Cite
@article{arxiv.1308.3641,
title = {Semi-implicit Euler schemes for ordinary differential inclusions},
author = {Janosch Rieger},
journal= {arXiv preprint arXiv:1308.3641},
year = {2013}
}
Comments
24 pages