Polymer materials are multiscale systems by definition.
Already
the description of a single macromolecule involves a multitude of
scales, and cooperative processes in polymer assemblies are governed
by their interplay. Polymers have been among the first materials for
which systematic multiscale techniques were developed, yet they continue
to present extraordinary challenges for modellers. In this Perspective,
we review popular models that are used to describe polymers on different
scales and discuss scale-bridging strategies such as static and dynamic
coarse-graining methods and multiresolution approaches. We close with
a list of hard problems which still need to be solved in order to
gain a comprehensive quantitative understanding of polymer systems.