  This is a review on recent developments of the continuum discretized
coupled-channels method (CDCC) and its applications to nuclear physics,
cosmology and astrophysics, and nuclear engineering. The theoretical foundation
of CDCC is shown, and a microscopic reaction theory for nucleus-nucleus
scattering is constructed as an underlying theory of CDCC. CDCC is then
extended to treat Coulomb breakup and four-body breakup. We also propose a new
theory that makes CDCC applicable to inclusive reactions
