Numerical error induced by the "ghost forces" in the quasicontinuum method is studied in the context of dynamic problems. The error in the ({W}^{1,\infty}) norm is analyzed for the time scale (\mc{O}(\eps)) and the time scale (\mc{O}(1)) with \eps being the lattice spacing.
@article{arxiv.1208.1321,
title = {On the effect of ghost force in the quasicontinuum method: dynamic problems in one dimension},
author = {Xiantao Li and Pingbing Ming},
journal= {arXiv preprint arXiv:1208.1321},
year = {2012}
}