Alexander V. Bobylev 
Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods [PDF ebook] 

This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The second volume covers discrete velocity models of the Boltzmann equation, results on the Landau equation, and numerical (deterministic and stochastic) methods for the solution of kinetic equations.