The Role of Semiconductor Device Diameter and Energy-Band Bending in Convergence of Picard Iteration for Gummel's Map. - Joseph W. Jerome (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1985)

Numerical methods for the hydrodynamic device model: subsonic flow. - Carl L. Gardner; Joseph W. Jerome; Donald J. Rose (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1989)

Electro-Diffusion of Ions (Isaak Rubinstein). - Joseph W. Jerome (SIAM Rev., 1991)

Solution of the hydrodynamic device model using high-order nonoscillatory shock capturing algorithms. - Emad Fatemi; Joseph W. Jerome; Stanley J. Osher (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1991)

Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices. - Zhangxin Chen; Bernardo Cockburn; Joseph W. Jerome; Chi-Wang Shu (PPSC, 1993)

The Approximation Problem for Drift-Diffusion Systems. - Joseph W. Jerome (SIAM Rev., 1995)

Transport effects and characteristic modes in the modeling and simulation of submicron devices. - Joseph W. Jerome; Chi-Wang Shu (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1995)

Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation. - Zhangxin Chen; Bernardo Cockburn; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1995)

Classical and Quantum Hydrodynamic Device Models and Energy Transport. - Joseph W. Jerome (VLSI Design, 1995)

The Response of the Hydrodynamic Model to Heat Conduction, Mobility, and Relaxation Expressions. - Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1995)

Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Perturbation and Simulation Study. - D. P. Chen; Joseph W. Jerome; Robert S. Eisenberg; Victor Barcilon (SIAM J. Appl. Math., 1997)

Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Mathematical Study. - J. H. Park; Joseph W. Jerome (SIAM J. Appl. Math., 1997)

Applicability of the High Field Model: An Analytical Study Via Asymptotic Parameters Defining Domain Decomposition. - Carlo Cercignani; Irene M. Gamba; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1998)

Applicability of the High Field Model: A Preliminary Numerical Study. - Carlo Cercignani; Irene M. Gamba; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1998)

Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries. - Gui-Qiang G. Chen; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1998)

Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels. - Gregory E. Fasshauer; Joseph W. Jerome (Adv. Comput. Math., 1999)

Newton iteration for partial differential equations and the approximation of the identity. - Gregory E. Fasshauer; Eugene C. Gartland; Joseph W. Jerome (Numer. Algorithms, 2000)

Electrodiffusion Model of Rectangular Current Pulses in Ionic Channels of Cellular Membranes. - Carl L. Gardner; Joseph W. Jerome; Robert S. Eisenberg (SIAM J. Appl. Math., 2000)

Analytical and Computational Advances for Hydrodynamic Models of Classical and Quantum Charge Transport. - Joseph W. Jerome (VLSI Design, 2000)

Simulating Quasi-ballistic Transport in Si Nanotransistors. - Kausar Banoo; Jung-Hoon Rhew; Mark S. Lundstrom; Chi-Wang Shu; Joseph W. Jerome (VLSI Design, 2001)

An Analytical Study of Smooth Solutions of the Bløtekjær Hydrodynamic Model of Electron Transport. - Joseph W. Jerome (VLSI Design, 2002)

Efficient approximation of implicitly defined functions: General theorems and classical benchmark studies. - Joseph W. Jerome; Anders Linnér (J. Approx. Theory, 2007)

A trapping principle and convergence result for finite element approximate solutions of steady reaction/diffusion systems. - Joseph W. Jerome (Numerische Mathematik, 2008)

Quantum-corrected drift-diffusion models: Solution fixed point map and finite element approximation. - Carlo de Falco; Joseph W. Jerome; Riccardo Sacco (J. Comput. Phys., 2009)

A tight nonlinear approximation theory for time dependent closed quantum systems. - Joseph W. Jerome (J. Num. Math., 2019)

Linear Reduction and Homotopy Control for Steady Drift-Diffusion Systems in Narrow Convex Domains. - Joseph W. Jerome (CoRR, 2024)