  We present mode-coupling theory (MCT) results for densely packed hard-sphere
fluids confined between two parallel walls and compare them quantitatively to
computer simulations. The numerical solution of MCT is calculated for the first
time using the full system of matrix-valued integro-differential equations. We
investigate several dynamical properties of supercooled liquids including
scattering functions, frequency-dependent susceptibilities and mean-square
displacements. Close to the glass transition, we find quantitative agreement
between the coherent scattering function predicted from theory and evaluated
from simulations, which enables us to make quantitative statements on caging
and relaxation dynamics of the confined hard-sphere fluid.
