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 $\eps$ being the lattice spacing. 
Xiantao Li and Pingbing Ming
math.NA