  Liquid crystal is a typical kind of soft matter that is intermediate between
crystalline solids and isotropic fluids. The study of liquid crystals has made
tremendous progress over the last four decades, which is of great importance on
both fundamental scientific researches and widespread applications in industry.
In this paper, we review the mathematical models and their connections of
liquid crystals, and survey the developments of numerical methods for finding
the rich configurations of liquid crystals.
