  Magnetics, ferroelectrics and multiferroics have attracted great attentions
because they are not only extremely important for investigating fundamental
physics, but also have important applications in information technology. Here,
recent computational studies on magnetism and ferroelectricity are reviewed. We
first give a brief introduction to magnets, ferroelectrics, and multiferroics.
Then, theoretical models and corresponding computational methods for
investigating these materials are presented. In particular, a new method for
computing the linear magnetoelectric coupling tensor without applying an
external field in the first principle calculations is proposed for the first
time. The functionalities of our homemade Property Analysis and Simulation
Package for materials (PASP) and its applications in the field of magnetism and
ferroelectricity are discussed. Finally, we summarize this review and give a
perspective on possible directions of future computational studies on magnetism
and ferroelectricity.
