Numerical methods in high power laser propagation

Numerical solutions to the complex nonlinear problems of the interaction of high energy lasers with the atmosphere have played an important role in the understanding and development of this important and interesting field. Summarized are the relevant partial differential equations that apply, the kinds of numerical algorithms employed in their solution and representative results of a variety of cases of interest. Comparison with experiment is made wherever possible. Other effects which impact the thermal blooming phenomena are also addressed.