NUMERICAL METHODS FOR THE SEMICONDUCTOR BOLTZMANN EQUATION BASED ON SPHERICAL HARMONICS EXPANSIONS AND ENTROPY DISCRETIZATIONS
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Publication:4794382
DOI10.1081/TT-120015508zbMath1009.82022OpenAlexW2169599662MaRDI QIDQ4794382
Publication date: 1 May 2003
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/tt-120015508
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Statistical mechanics of semiconductors (82D37) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)
Related Items (8)
Deterministic Numerical Solution of the Boltzmann Transport Equation ⋮ Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit ⋮ Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors ⋮ On stable wall boundary conditions for the Hermite discretization of the linearised Boltzmann equation ⋮ Simulation of an \(n^+\)-\(n\)-\(n^+\) diode by using globally-hyperbolically-closed high-order moment models ⋮ Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries ⋮ Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations ⋮ Analysis of a New Implicit Solver for a Semiconductor Model
Cites Work
- Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors
- Moment closure hierarchies for kinetic theories.
- Convergence of Moment Methods for Linear Kinetic Equations
- Space-Time Discretization of Series Expansion Methods for the Boltzmann Transport Equation
- AN ENTROPY-BASED FINITE DIFFERENCE METHOD FOR THE ENERGY TRANSPORT SYSTEM
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