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”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2009, Volume 9, Issue 4,Pages <nobr>3

On an Approach to the Construction of Difference Schemes for the Momentum Equations of Charge Transport in Semiconductors

A. M. Blokhin^ab, S. A. Boyarskiy^b, B. V. Semisalov^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: 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.

UDC: 519.615.5+621.382.2

Received: 20.03.2009