Adaptive energy discretization of the semiconductor Boltzmann equation

Transport Theory and Statistical Physics ◽

10.1080/00411450701456576 ◽

2007 ◽

Vol 36 (1-3) ◽

pp. 13-42

Author(s):

C. Auer ◽

F. Schürrer ◽

G. Russo

Keyword(s):

Boltzmann Equation ◽

Semiconductor Boltzmann Equation

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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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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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Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling

Kinetic and Related Models ◽

10.3934/krm.2018044 ◽

2018 ◽

Vol 11 (5) ◽

pp. 1139-1156 ◽

Author(s):

Liu Liu ◽

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Random Inputs ◽

Stochastic Galerkin Method ◽

Spectral Convergence ◽

Semiconductor Boltzmann Equation ◽

Stochastic Galerkin

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Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation

Multiscale Modeling and Simulation ◽

10.1137/040611227 ◽

2005 ◽

Vol 4 (3) ◽

pp. 896-914 ◽

Author(s):

Naoufel Ben Abdallah ◽

Mohamed Lazhar Tayeb

Keyword(s):

Boltzmann Equation ◽

Diffusion Approximation ◽

Semiconductor Boltzmann Equation

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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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Diffusion approximation of the linear semiconductor Boltzmann equation: analysis of boundary layers

Asymptotic Analysis ◽

10.3233/asy-1991-4402 ◽

1991 ◽

Vol 4 (4) ◽

pp. 293-317 ◽

Author(s):

F. Poupaud

Keyword(s):

Boltzmann Equation ◽

Boundary Layers ◽

Diffusion Approximation ◽

Boltzmann Equation Analysis ◽

Equation Analysis ◽

Semiconductor Boltzmann Equation

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A Note on the Energy-Transport Limit of the Semiconductor Boltzmann Equation

Transport in Transition Regimes - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-0017-5_8 ◽

2004 ◽

pp. 137-153 ◽

Author(s):

Pierre Degond ◽

C. David Levermore ◽

Christian Schmeiser

Keyword(s):

Boltzmann Equation ◽

Energy Transport ◽

Semiconductor Boltzmann Equation

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Discretization of the Multiscale Semiconductor Boltzmann Equation by Diffusive Relaxation Schemes

Journal of Computational Physics ◽

10.1006/jcph.2000.6506 ◽

2000 ◽

Vol 161 (1) ◽

pp. 312-330 ◽

Author(s):

Shi Jin ◽

Lorenzo Pareschi

Keyword(s):

Boltzmann Equation ◽

Relaxation Schemes ◽

Semiconductor Boltzmann Equation ◽

Diffusive Relaxation

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NUMERICAL METHODS FOR THE SEMICONDUCTOR BOLTZMANN EQUATION BASED ON SPHERICAL HARMONICS EXPANSIONS AND ENTROPY DISCRETIZATIONS

Transport Theory and Statistical Physics ◽

10.1081/tt-120015508 ◽

2002 ◽

Vol 31 (4-6) ◽

pp. 431-452 ◽

Author(s):

Christian Ringhofer

Keyword(s):

Boltzmann Equation ◽

Numerical Methods ◽

Spherical Harmonics ◽

Semiconductor Boltzmann Equation

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