5.1 Vlasov equation
 5.2 Poisson’s equation
 5.3 Equilibrium state
 5.4 δf evolution
 5.5 Normalization
 5.6 Boundary condition for field
 5.7 Boundary condition for particles
 5.8 Evaluation of particle number density
 5.9 FFT solver for Poisson equation
 5.10 Finite difference solver for Poisson equation
 5.11 Interpolate the field to particle markers
 5.12 Integration of orbit and weight of markers
 5.13 Initial perturbations
 5.14 Verification of the code by using analytic results of Landau damping
 5.15 Methods of identifying resonant particles
 5.16 Energy conservation (check!)
 5.17 Numerical results for two-stream instability