Review and Recent Advances in PIC Modeling of Relativistic Beams and   Plasmas
  Particle-in-Cell (PIC) simulation codes have wide applicability to first-principles modeling of multidimensional nonlinear plasma phenomena, including wake-field accelerators. This review addresses both finite difference and pseudo-spectral PIC algorithms, including numerical instability suppression and generalizations of the spectral field solver. 
Brendan B. Godfrey
physics.plasm-ph physics.acc-ph