Numerical models in applied plasmadynamic and plasmastatic problems

We present a review of mathematical models and computations in the two plasma physic projects: creation of powerful plasma accelerators and researches of equilibrium plasma configurations in magnetic traps. Steady-state transonic plasma flows in accelerators are investigated in the plasmadynamic models. The recent time works deal with studies of the longitudinal magnetic field influence on the plasma acceleration process in the channels of various geometry. Equilibrium magnetoplasma configurations in the traps are researched in plasmastatic models based on the numerical solution of problems with the Grad-Shafranov equation. Configurations are investigated in the galateya-traps with current carrying conductors immersed into the plasma. In the recent time works, configurations in toroidal magnetic traps are studied in comparison with their analogues straightened into the cylinder. (paper)