In this article we briefly review the lattice dynamics and molecular d
ynamics simulation techniques, as used for complex ionic and molecular
solids, and demonstrate a number of applications through examples of
our work. These computational studies, along with experiments, have pr
ovided microscopic insight into the structure and dynamics, phase tran
sitions and thermodynamical properties of a variety of materials inclu
ding fullerene, high temperature superconducting oxides and geological
minerals as a function of pressure and temperature. The computational
techniques also allow the study of the structures and dynamics associ
ated with disorder, defects, surfaces, interfaces etc.