Stabilization of Ab Initio Molecular Dynamics Simulations at Large Time   Steps
  The Verlet method is still widely used to integrate the equations of motion in ab initio molecular dynamics simulations. We show that the stability limit of the Verlet method may be significantly increased by setting an upper limit on the kinetic energy of each atom with only a small loss in accuracy. The validity of this approach is demonstrated for molten lithium fluoride. 
Eiji Tsuchida
physics.comp-ph cond-mat.mtrl-sci