Asymptotic Preserving Schemes for Semiconductor Boltzmann Equation in the Diffusive Regime

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2012.m1045 ◽

2012 ◽

Vol 5 (2) ◽

pp. 278-296 ◽

Author(s):

Jia Deng

Keyword(s):

Boltzmann Equation ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes ◽

Diffusive Regime ◽

Semiconductor Boltzmann Equation

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An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: A splitting approach

Kinetic and Related Models ◽

10.3934/krm.2015.8.707 ◽

2015 ◽

Vol 8 (4) ◽

pp. 707-723 ◽

Author(s):

Jingwei Hu ◽

Shi Jin ◽

Li Wang

Keyword(s):

Boltzmann Equation ◽

Asymptotic Preserving ◽

Semiconductor Boltzmann Equation ◽

Asymptotic Preserving Scheme

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Asymptotic-Preserving Numerical Schemes for the Semiconductor Boltzmann Equation Efficient in the High Field Regime

SIAM Journal on Scientific Computing ◽

10.1137/120886534 ◽

2013 ◽

Vol 35 (3) ◽

pp. B799-B819 ◽

Author(s):

Shi Jin ◽

Li Wang

Keyword(s):

Boltzmann Equation ◽

Numerical Schemes ◽

Asymptotic Preserving ◽

Semiconductor Boltzmann Equation

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An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit

Journal of Computational Physics ◽

10.1016/j.jcp.2014.10.050 ◽

2015 ◽

Vol 281 ◽

pp. 806-824 ◽

Author(s):

Jingwei Hu ◽

Li Wang

Keyword(s):

Boltzmann Equation ◽

Energy Transport ◽

Asymptotic Preserving ◽

Semiconductor Boltzmann Equation ◽

Asymptotic Preserving Scheme

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High order asymptotic-preserving schemes for the Boltzmann equation

Comptes Rendus Mathematique ◽

10.1016/j.crma.2012.05.010 ◽

2012 ◽

Vol 350 (9-10) ◽

pp. 481-486 ◽

Author(s):

Giacomo Dimarco ◽

Lorenzo Pareschi

Keyword(s):

Boltzmann Equation ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes ◽

The Boltzmann Equation

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An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings

Multiscale Modeling and Simulation ◽

10.1137/15m1053463 ◽

2017 ◽

Vol 15 (1) ◽

pp. 157-183 ◽

Author(s):

Shi Jin ◽

Liu Liu

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Asymptotic Preserving ◽

Random Inputs ◽

Stochastic Galerkin Method ◽

Semiconductor Boltzmann Equation ◽

Stochastic Galerkin

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Asymptotic analysis of the high field semiconductor Boltzmann equation

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(94)90479-0 ◽

1994 ◽

Vol 202 (3-4) ◽

pp. 553-576 ◽

Author(s):

P.C. Stichel ◽

D. Strothmann

Keyword(s):

Boltzmann Equation ◽

Asymptotic Analysis ◽

Semiconductor Boltzmann Equation

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Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation

Simulation of Semiconductor Processes and Devices 2007 ◽

10.1007/978-3-211-72861-1_61 ◽

2007 ◽

pp. 257-260 ◽

Author(s):

Yingda Cheng ◽

Irene M. Gamba ◽

Armando Majorana ◽

Chi-Wang Shu

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Semiconductor Boltzmann Equation

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High‐order asymptotic‐preserving schemes for linear systems: Application to the Goldstein–Taylor equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22363 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1538-1561

Author(s):

Christophe Chalons ◽

Rodolphe Turpault

Keyword(s):

Linear Systems ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes

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An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit

Continuum Mechanics and Thermodynamics ◽

10.1007/s00161-009-0116-2 ◽

2009 ◽

Vol 21 (5) ◽

pp. 401-421 ◽

Author(s):

Mounir Bennoune ◽

Mohammed Lemou ◽

Luc Mieussens

Keyword(s):

Boltzmann Equation ◽

Diffusion Limit ◽

Asymptotic Preserving ◽

The Boltzmann Equation ◽

Kac Model ◽

Asymptotic Preserving Scheme

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An asymptotic-preserving Monte Carlo method for the Boltzmann equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.029 ◽

2014 ◽

Vol 276 ◽

pp. 380-404 ◽

Author(s):

Wei Ren ◽

Hong Liu ◽

Shi Jin

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Asymptotic Preserving ◽

The Boltzmann Equation

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