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Volume 2, Issue 5
A Semi-Lagrangian Deterministic Solver for the Semiconductor Boltzmann-Poisson System

J. A. Carrillo, A. Majorana & F. Vecil

Commun. Comput. Phys., 2 (2007), pp. 1027-1054.

Published online: 2007-02

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  • Abstract

In this paper we develop a deterministic numerical method for solving the Boltzmann transport equation for semiconductors based on a transport-collision time-splitting method. Transport phases are solved by means of accurate flux-balance methods while collision steps are computed in the original k-grid. Numerical experiments are shown allowing for a discussion of this method with respect to other present in the literature.

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@Article{CiCP-2-1027, author = {J. A. Carrillo, A. Majorana and F. Vecil}, title = {A Semi-Lagrangian Deterministic Solver for the Semiconductor Boltzmann-Poisson System}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {5}, pages = {1027--1054}, abstract = {

In this paper we develop a deterministic numerical method for solving the Boltzmann transport equation for semiconductors based on a transport-collision time-splitting method. Transport phases are solved by means of accurate flux-balance methods while collision steps are computed in the original k-grid. Numerical experiments are shown allowing for a discussion of this method with respect to other present in the literature.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7937.html} }
TY - JOUR T1 - A Semi-Lagrangian Deterministic Solver for the Semiconductor Boltzmann-Poisson System AU - J. A. Carrillo, A. Majorana & F. Vecil JO - Communications in Computational Physics VL - 5 SP - 1027 EP - 1054 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7937.html KW - AB -

In this paper we develop a deterministic numerical method for solving the Boltzmann transport equation for semiconductors based on a transport-collision time-splitting method. Transport phases are solved by means of accurate flux-balance methods while collision steps are computed in the original k-grid. Numerical experiments are shown allowing for a discussion of this method with respect to other present in the literature.

J. A. Carrillo, A. Majorana and F. Vecil. (2007). A Semi-Lagrangian Deterministic Solver for the Semiconductor Boltzmann-Poisson System. Communications in Computational Physics. 2 (5). 1027-1054. doi:
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