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Upwind finite difference solution of Boltzmann equation applied to electron transport in semiconductor devices. (English) Zbl 0792.65110
The proposed method for solving the Boltzmann-Poisson system (modelling charge transport in semiconductor devices) is based on forward Euler time discretization and a general upwind scheme for dealing with the differential terms; the discretization is designed such that mass is conserved at each step. The method is closely related to the methods of A. J. Chorin [Commun. Pure Appl. Math. 25, 171-186 (1972; Zbl 0226.65077)] and G. A. Sod [Commun. Pure Appl. Math. 30, 391-419 (1977; Zbl 0336.65049)] for solving the Boltzmann equation for a steady shock wave. Numerical examples illustrate the reliability of the scheme.

65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
78A35 Motion of charged particles
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