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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2009, Volume 9, Issue 4, Pages 3–15 (Mi vngu187)  
On an Approach to the Construction of Difference Schemes for the Momentum Equations of Charge Transport in Semiconductors

A. M. Blokhinab, S. A. Boyarskiyb, B. V. Semisalovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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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.
Received: 20.03.2009
Document Type: Article
UDC: 519.615.5+621.382.2
Language: Russian
Citation: 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., 9:4 (2009), 3–15
Citation in format AMSBIB
\Bibitem{BloBoySem09}
\by A.~M.~Blokhin, S.~A.~Boyarskiy, B.~V.~Semisalov
\paper On an Approach to the Construction of Difference Schemes for the Momentum Equations of Charge Transport in Semiconductors
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2009
\vol 9
\issue 4
\pages 3--15
\mathnet{http://mi.mathnet.ru/vngu187}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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