Semiconductor equations

2D simulation of a silicon MESFET with a nonparabolic hydrodynamical model based on the maximum entropy principle

Journal of Computational Physics

A relaxation scheme for the hydrodynamic equations for semiconductors

Applied Numerical Mathematics

A novel parallel adaptive Monte Carlo method for nonlinear Poisson equation in semiconductor devices

Mathematics and Computers in Simulation - Special issue: 3rd IMACS seminar on Monte Carlo methods - MCM 2001

A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods

Journal of Computational Physics

An iterative method for adaptive finite element solutions of an energy transport model of semiconductor devices

Journal of Computational Physics

Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains

Journal of Computational and Applied Mathematics

Numerical approximation of the viscous quantum hydrodynamic model for semiconductors

Applied Numerical Mathematics

An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes

Journal of Computational Physics

Computing multi-valued velocity and electric fields for 1D Euler--Poisson equations

Applied Numerical Mathematics

A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations

Journal of Computational Physics

A perfectly matched layer approach to the nonlinear Schrödinger wave equations

Journal of Computational Physics

A Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrödinger-Poisson equations with discontinuous potentials

Journal of Computational and Applied Mathematics

Numerical solutions of Euler--Poisson systems for potential flows

Applied Numerical Mathematics

Convergent finite element discretizations of the density gradient equation for quantum semiconductors

Journal of Computational and Applied Mathematics

Quantum-corrected drift-diffusion models: Solution fixed point map and finite element approximation

Journal of Computational Physics

A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs

Journal of Computational Physics

Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains

Journal of Computational and Applied Mathematics

Effect of boundary treatments on quantum transport current in the Green's function and Wigner distribution methods for a nano-scale DG-MOSFET

Journal of Computational Physics

Efficient algebraic multigrid for migration-diffusion-convection-reaction systems arising in electrochemical simulations

Journal of Computational Physics

The Finite Volume-Complete Flux Scheme for Advection-Diffusion-Reaction Equations

Journal of Scientific Computing

Positive $P_N$ Closures

SIAM Journal on Scientific Computing

Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model

Journal of Computational Physics

Self-heating in a coupled thermo-electric circuit-device model

Journal of Computational Electronics

Stationary solutions for a multi-dimensional nonisentropic hydrodynamic model for semiconductors

Mathematical and Computer Modelling: An International Journal

Relaxation limit and initial layer analysis of a bipolar hydrodynamic model for semiconductors

Mathematical and Computer Modelling: An International Journal

Discrete versus continuous models in evolutionary dynamics: From simple to simpler-and even simpler-models

Mathematical and Computer Modelling: An International Journal

A hydrodynamical model for holes in silicon semiconductors: The case of non-parabolic warped bands

Mathematical and Computer Modelling: An International Journal

PDAE models of integrated circuits

Mathematical and Computer Modelling: An International Journal

Positivity preserving discretization of time dependent semiconductor drift-diffusion equations

Applied Numerical Mathematics

On the Steady State Relativistic Euler-Poisson Equations

Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications

A device adaptive inflow boundary condition for Wigner equations of quantum transport

Journal of Computational Physics

A conservative finite difference scheme for Poisson---Nernst---Planck equations

Journal of Computational Electronics