A Comparison of Resonant Tunneling Based on Schrödinger's Equation and Quantum Hydrodynamics. - Naoufel Ben Abdallah; Olivier Pinaud; Carl L. Gardner; Christian A. Ringhofer (VLSI Design, 2002)

Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation. - Naoufel Ben Abdallah; Mohamed Lazhar Tayeb (Multiscale Model. Simul., 2005)

Adiabatic Approximation of the Schrödinger-Poisson System with a Partial Confinement. - Naoufel Ben Abdallah; Florian Méhats; Olivier Pinaud (SIAM J. Math. Anal., 2005)

The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential. - Naoufel Ben Abdallah; Florian Méhats; Christian Schmeiser; Rada-Maria Weishäupl (SIAM J. Math. Anal., 2005)

Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation. - Naoufel Ben Abdallah; Olivier Pinaud (J. Comput. Phys., 2006)

An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs. - Naoufel Ben Abdallah; Mireille Mouis; Claudia Negulescu (J. Comput. Phys., 2007)

High Density Limit of the Stationary One Dimensional Schrödinger-Poisson System. - Raymond El Hajj; Naoufel Ben Abdallah (Multiscale Model. Simul., 2008)

A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs. - Naoufel Ben Abdallah; María J. Cáceres; José A. Carrillo 001; Francesco Vecil (J. Comput. Phys., 2009)

The Strongly Confined Schrödinger–Poisson System for the Transport of Electrons in a Nanowire. - Naoufel Ben Abdallah; François Castella; Fanny Delebecque-Fendt; Florian Méhats (SIAM J. Appl. Math., 2009)

WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit. - Anton Arnold; Naoufel Ben Abdallah; Claudia Negulescu (SIAM J. Numer. Anal., 2011)

Diffusion and Homogenization Limits with Separate Scales. - Naoufel Ben Abdallah; Marjolaine Puel; Michael S. Vogelius (Multiscale Model. Simul., 2012)

A Corrector Theory for Diffusion-Homogenization Limits of Linear Transport Equations. - Guillaume Bal; Naoufel Ben Abdallah; Marjolaine Puel (SIAM J. Math. Anal., 2012)

Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement. - Weizhu Bao; Naoufel Ben Abdallah; Yongyong Cai (SIAM J. Math. Anal., 2012)