@INCOLLECTION{GHM06, AUTHOR = {J.~Giannoulis and M.~Herrmann and A.~Mielke}, editor = {A.~Mielke}, BOOKTITLE = {Analysis, Modeling and Simulation of Multiscale Problems}, TITLE = {Continuum descriptions for the dynamics in discrete lattices: derivation and justification}, PUBLISHER = {Springer}, YEAR = {2006} }