Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes
From MaRDI portal
Publication:1570347
DOI10.1006/jcph.2000.6506zbMath1156.82408OpenAlexW1978864049MaRDI QIDQ1570347
Publication date: 9 July 2000
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.2000.6506
Related Items (25)
On the Modeling and Simulation of Reaction-Transfer Dynamics in Semiconductor-Electrolyte Solar Cells ⋮ A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources ⋮ On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models ⋮ Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells ⋮ An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit ⋮ A first-order asymptotic preserving scheme for front propagation in a one-dimensional kinetic reaction-transport equation ⋮ Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics ⋮ On deterministic numerical methods for the quantum Boltzmann-nordheim equation. I. Spectrally accurate approximations, Bose-Einstein condensation, Fermi-Dirac saturation ⋮ Numerical schemes for kinetic equation with diffusion limit and anomalous time scale ⋮ Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling ⋮ An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings ⋮ An asymptotic preserving scheme for kinetic models for chemotaxis phenomena ⋮ An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations ⋮ Numerical methods for kinetic equations ⋮ Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes ⋮ Numerical Schemes for Kinetic Equations in the Anomalous Diffusion Limit. Part I: The Case of Heavy-Tailed Equilibrium ⋮ An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit ⋮ An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: a splitting approach ⋮ Stationary quantum BGK model for bosons and fermions in a bounded interval ⋮ Structure preserving schemes for the continuum Kuramoto model: phase transitions ⋮ A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings ⋮ Analysis of a New Implicit Solver for a Semiconductor Model ⋮ A fast implicit solver for semiconductor models in one space dimension ⋮ Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models ⋮ Numerical Methods for One-Dimensional Aggregation Equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical schemes for kinetic equations in diffusive regimes
- Particle simulations of the semiconductor Boltzmann equation for one- dimensional inhomogeneous structures
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation
- Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- Asymptotic preserving Monte Carlo methods for the Boltzmann equation
- Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
- An Approximate Newton Method for the Solution of the Basic Semiconductor Device Equations
- The discrete-ordinate method in diffusive regimes
- Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor Equations
- Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
- Convergence of Moment Methods for Linear Kinetic Equations
- The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method
- Fully-discrete numerical transfer in diffusive regimes
- Relaxation Schemes for Nonlinear Kinetic Equations
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Moment Methods for the Semiconductor Boltzmann Equation on Bounded Position Domains
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Diffusion approximation of nonlinear electron phonon collision mechanisms
- Existence and Uniqueness Theorems for the Neutron Transport Equation
- Numerical solution of Boltzmann's equation
This page was built for publication: Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes
