KRM
1D numerical simulation of the mep mathematical model in ballistic diode problem
Alexander Blokhin Alesya Ibragimova
Kinetic & Related Models 2009, 2(1): 81-107 doi: 10.3934/krm.2009.2.81
Numerical algorithms for finding approximate solutions of the macroscopic balance equations of charge transport in semiconductors based on the maximum entropy principle [A.M. Anile, V. Romano, Non parabolic band transport in semiconductors: closure of the moment equations, Contin. Mech. Thermodyn. 11 (1999), 307--325; V. Romano, Non parabolic band transport in semiconductors: closure of the production terms in the moment equations, Contin. Mech. Thermodyn. 12(2000), 31--51] are constructed and discussed for a typical 1D problem.
keywords: the hydrodynamical models the stabilization method moment equations interpolational cubic spline Boltzmann Transport Equation sweep method. the drift-diffusion equations nonstationary regularization conservation laws

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