Numerical Modelling of 2D Field Emission from Silicon Wedge Microcathode V.A.Fedirko, Yu.N.Karamzin, S.V.Polyakov, I.G.Zakharova The 2D mathematical model is developed for the process of a hot electron field emission from the silicon wedge microcathode. To solve the considered problem we elaborate the difference scheme using a new approach to the construction of conservative monotone schemes for 2D parabolic second-order equations with divergent form of the terms with first derivatives. The difference solution holds the properties of differential one. The numerical method is adapted to the multiprocessor station PARSYTEC CC. The 2D distributions of electron density and temperature as well as electric field distribution near the emitting surface are presented and discussed.