Geodesic
On an Approach to the Construction of Difference Schemes for the Momentum Equations of Charge Transport in Semiconductors
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 3-15

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We discuss the construction of a class of difference schemes for a hydrodynamical model of charge transport in semiconductors. This model is a quasilinear system of conservation laws. These conservation laws were derived from the systems of moment equations for the Boltzman transport equation by a truncation procedure. We suggest a class of difference schemes for finding approximate solutions to the moment equations mentioned above and prove its stability.
Keywords: hydrodynamical models, finite difference methods, system of moment equations, symmetrizer, stabilization method. 
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     author = {A. M. Blokhin and S. A. Boyarskiy and B. V. Semisalov},
     title = {On an {Approach} to the {Construction} of {Difference} {Schemes} for the {Momentum} {Equations} of {Charge} {Transport} in {Semiconductors}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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A. M. Blokhin; S. A. Boyarskiy; B. V. Semisalov. On an Approach to the Construction of Difference Schemes for the Momentum Equations of Charge Transport in Semiconductors. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 3-15. http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a0/