On the effect of ghost force in the quasicontinuum method: dynamic problems in one dimension

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 $\text{eps}$ being the lattice spacing.