Joseph W. Jerome

发表

Numerical methods for the hydrodynamic device model: subsonic flow

Donald J. Rose, Carl L. Gardner, Joseph W. Jerome, 1989, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

Mathematical advances and horizons for classical and quantum-perturbed drift-diffusion systems: solid state devices and beyond

Joseph W. Jerome, J. Jerome, 2009 .

Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Perturbation and Simulation Study

Robert S. Eisenberg, Joseph W. Jerome, D. P. Chen, 1997, SIAM J. Appl. Math..

Simulating Quasi-ballistic Transport in Si Nanotransistors

Chi-Wang Shu, Kausar Banoo, Mark S. Lundstrom, 2001, VLSI Design.

Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices

Joseph W. Jerome, 1995 .

Press Start to Track?: Privacy and the New Questions Posed by Modern Videogame Technology

Joe Newman, Joseph W. Jerome, Christopher Hazard, 2014 .

Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries

Chi-Wang Shu, Joseph W. Jerome, Gui-Qiang Chen, 1998, VLSI Design.

Applicability of the High Field Model: An Analytical Study Via Asymptotic Parameters Defining Domain Decomposition

Chi-Wang Shu, Irene M. Gamba, Joseph W. Jerome, 1998, VLSI Design.

Computational models for the numerical simulation of voltage operated channels in nano–bio–electronics

Riccardo Sacco, Joseph W. Jerome, Bice Chini, 2007 .

Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels

Gregory E. Fasshauer, Joseph W. Jerome, J. Jerome, 1999, Adv. Comput. Math..

Electrodiffusion Model of Rectangular Current Pulses in Ionic Channels of Cellular Membranes

Robert S. Eisenberg, Carl L. Gardner, Joseph W. Jerome, 2000, SIAM J. Appl. Math..

A trapping principle and convergence result for finite element approximate solutions of steady reaction/diffusion systems

Joseph W. Jerome, J. Jerome, 2008, Numerische Mathematik.

Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Mathematical Study

Joseph W. Jerome, J. H. Park, J. Jerome, 1997, SIAM J. Appl. Math..

Solution of the hydrodynamic device model using high-order nonoscillatory shock capturing algorithms

Stanley Osher, Joseph W. Jerome, Emad Fatemi, 1991, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

A tight nonlinear approximation theory for time dependent closed quantum systems

Joseph W. Jerome, 2019, J. Num. Math..

Computational modeling and simulation of complex systems in bio-electronics

Riccardo Sacco, Joseph W. Jerome, Massimo Longaretti, 2008 .

Analytical and Computational Advances for Hydrodynamic Models of Classical and Quantum Charge Transport

Joseph W. Jerome, J. Jerome, 2000, VLSI Design.

Classical and Quantum Hydrodynamic Device Models and Energy Transport

Joseph W. Jerome, 1995 .

The Approximation Problem for Drift-Diffusion Systems

Joseph W. Jerome, J. Jerome, 1995, SIAM Rev..

Corrections to “Computational Modeling Evidence of a Nonthermal Electromagnetic Interaction Mechanism With Living Cells: Microwave Nonlinearity in the Cellular Sodium Ion Channel” [Aug 04 2040-2045]

Allen Taflove, Nikolay S. Stoykov, Joseph W. Jerome, 2008, IEEE Transactions on Microwave Theory and Techniques.

Newton iteration for partial differential equations and the approximation of the identity

Gregory E. Fasshauer, Joseph W. Jerome, Eugene C. Gartland, 2004, Numerical Algorithms.

Efficient approximation of implicitly defined functions: General theorems and classical benchmark studies

Joseph W. Jerome, Anders Linnér, J. Jerome, 2007, J. Approx. Theory.

Applicability of the High Field Model: A Preliminary Numerical Study

Chi-Wang Shu, Irene M. Gamba, Joseph W. Jerome, 1998, VLSI Design.

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

Carlo de Falco, Riccardo Sacco, Joseph W. Jerome, 2009, J. Comput. Phys..

The role of semiconductor device diameter and energy-band bending in convergence of Picard iteration for Gummel's map

Joseph W. Jerome, J. Jerome, 1985, IEEE Transactions on Electron Devices.

Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices

Zhangxin Chen, Chi-Wang Shu, Bernardo Cockburn, 1993, PPSC.

MULTISCALE/MULTIPHYSICS COMPUTATIONAL MODELS FOR LAB-ON-CHIP TECHNOLOGY APPLICATIONS

Riccardo Sacco, Joseph W. Jerome, Bice Chini, 2008 .

An Analytical Study of Smooth Solutions of the Bløtekjær Hydrodynamic Model of Electron Transport

Joseph W. Jerome, J. Jerome, 2002, VLSI Design.

Transport effects and characteristic modes in the modeling and simulation of submicron devices

Chi-Wang Shu, Joseph W. Jerome, Chi-Wang Shu, 1995, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

Time dependent closed quantum systems: Nonlinear Kohn–Sham potential operators and weak solutions

Joseph W. Jerome, J. Jerome, 2015 .

The Utility of Modeling and Simulation in Determining Transport Performance Properties of Semiconductors

Bernardo Cockburn, Chi-Wang Shu, Joseph W. Jerome, 2000 .

On n-Widths in Sobolev Spaces and Applications to Elliptic Boundary Value Problems*

Joseph W. Jerome, J. Jerome, 1970 .

Convection-Dominated Nonlinear Systems: Analysis of the Douglas–Russell Transport-Diffusion Algorithm Based on Approximate Characteristics and Invariant Regions

Joseph W. Jerome, 1988 .

Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation

Bernardo Cockburn, Zhangxin Chen, Chi-Wang Shu, 1995, VLSI Design.

Algorithmic Aspects of the Hydrodynamic and Drift-Diffusion Device Models

Joseph W. Jerome, 1990 .

Three-Dimensional Simulation of Biological Ion Channels Under Mechanical, Thermal and Fluid Forces

Riccardo Sacco, Joseph W. Jerome, J. Jerome, 2015, 1509.07301.

Energy Models for One-Carrier Transport in Semiconductor Devices

Chi-Wang Shu, Joseph W. Jerome, Chi-Wang Shu, 1994 .

The role of semiconductor device diameter and energy-band bending in convergence of Picard iteration for Gummel's map

Joseph W. Jerome, 1985 .

Convergence of Successive Iterative Semidiscretizations for Fitzhugh–Nagumo Reaction Diffusion Systems

Joseph W. Jerome, J. Jerome, 1980 .

Spline solutions to L1 extremal problems in one and several variables

Joseph W. Jerome, J. Jerome, S. Fisher, 1975 .

Device benchmark comparisons via kinetic, hydrodynamic, and high-hield models

Irene M. Gamba, Chi-Wang Shu, Joseph W. Jerome, 2000 .

The Quantum Faedo-Galerkin Equation: Evolution Operator and Time Discretization

Joseph W. Jerome, J. Jerome, 2017 .

Existence and the singular relaxation limit for the inviscid hydrodynamic energy model

Bo Zhang, Joseph W. Jerome, Gui-Qiang G. Chen, 1998 .

A domain decomposition method for silicon devices

Irene M. Gamba, Joseph W. Jerome, Carlo Cercignani, 2000 .

Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode at 300 K

Bernardo Cockburn, Zhangxin Chen, Carl L. Gardner, 1995, Journal of Computational Electronics.

Global Weak Solutions for an Incompressible Charged Fluid with Multi-Scale Couplings: Initial-Boundary Value Problem

Riccardo Sacco, Joseph W. Jerome, J. Jerome, 2009 .

Electrochemical Modeling and Characterization of Voltage Operated Channels in Nano-Bio Electronics

Riccardo Sacco, Joseph W. Jerome, Bice Chini, 2008 .

On a steady-state quantum hydrodynamic model for semiconductors

Bo Zhang, Joseph W. Jerome, 1996 .

Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type

Joseph W. Jerome, Siegfried Carl, 2002 .

ANALYTICAL APPROACHES TO CHARGE TRANSPORT IN A MOVING MEDIUM

Joseph W. Jerome, J. Jerome, 2002 .

Minimum Norm Extremals in Function Spaces: With Applications to Classical and Modern Analysis

Joseph W. Jerome, Stephen D. Fisher, 1975 .

CONSISTENCY OF SEMICONDUCTOR MODELING: AN EXISTENCE/STABILITY ANALYSIS FOR THE STATIONARY VAN ROOSBROECK SYSTEM*

Joseph W. Jerome, J. Jerome, 1985 .

Two-carrier semiconductor device models with geometric structure and symmetry properties

Chi-Wang Shu, Joseph W. Jerome, Dehua Wang, 1998 .

The Cauchy problem for compressible hydrodynamic-Maxwell systems: a local theory for smooth solutions

Joseph W. Jerome, J. Jerome, 2003, Differential and Integral Equations.

A trapping principle for discontinuous elliptic systems of mixed monotone type

Joseph W. Jerome, J. Jerome, 2001 .

Compressible Euler-Maxwell equations

Joseph W. Jerome, Gui-Qiang G. Chen, Dehua Wang, 2000 .

On uniform approximation by certain generalized spline functions

Joseph W. Jerome, J. Jerome, 1973 .

Trapping regions for discontinuously coupled systems of evolution variational inequalities and application

Joseph W. Jerome, Seppo Heikkilä, Siegfried Carl, 2003 .

A Conservative and Monotone Mixed-Hybridized Finite Element Approximation of Transport Problems in Heterogeneous Domains

Riccardo Sacco, Yoichiro Mori, Joseph W. Jerome, 2010 .

Solution of the hydrodynamic device model using high-order non-oscillatory shock capturing algorithms. Final report

Joseph W. Jerome, Stanley Osher, Emad Fatemi, 1989 .

Quasilinear hyperbolic and parabolic systems: Contractive semidiscretizations and convergence of the discrete viscosity method

Joseph W. Jerome, J. Jerome, 1982 .

An adaptive Newton algorithm based on numerical inversion: Regularization as postconditioner

Joseph W. Jerome, J. Jerome, 1985 .

Approximation of Nonlinear Evolution Systems

Joseph W. Jerome, 2012 .

Simulation of a Steady-State Electron Shock Wave in a Submicron Semiconductor Device Using High-Order Upwind Methods

Stanley Osher, Donald J. Rose, Carl L. Gardner, 1991 .

Minimum Norm Extremals in Function Spaces

Joseph W. Jerome, J. Jerome, S. Fisher, 1975 .

An asymptotically linear fixed point extension of the inf-sup theory of galerkin approximation

Joseph W. Jerome, J. Jerome, 1995 .

Approximate Newton methods and homotopy for stationary operator equations

Joseph W. Jerome, J. Jerome, 1985 .

Error estimates for the multidimensional two-phase Stefan problem

Joseph W. Jerome, J. Jerome, M. E. Rose, 1982 .

On the L2 n-width of certain classes of functions of several variables☆

Joseph W. Jerome, J. Jerome, 1967 .

A finite element approximation theory for the drift diffusion semiconductor model

Joseph W. Jerome, Thomas Kerkhoven, J. Jerome, 1991 .

L∞ stability of finite element approximations to elliptic gradient equations

Joseph W. Jerome, Thomas Kerkhoven, J. Jerome, 1990 .

A Three-Dimensional Model of Cellular Electrical Activity

Charles S. Peskin, Yoichiro Mori, Joseph W. Jerome, 2007 .

Particle hydrodynamic moment models in biology and microelectronics: singular relaxation limits

Bo Zhang, Joseph W. Jerome, Gui-Qiang G. Chen, 1997 .

Algorithms defined by Nash iteration: some implementations via multilevel collocation and smoothing

Gregory E. Fasshauer, Joseph W. Jerome, Eugene C. Gartland, 2000 .

The Response of the Hydrodynamic Model to Heat Conduction, Mobility, and Relaxation Expressions

Chi-Wang Shu, Joseph W. Jerome, 1995 .

Convergent Iteration in Sobolev Space for Time Dependent Closed Quantum Systems

Joseph W. Jerome, J. Jerome, 2017, 1706.09788.

Discretization of time-dependent quantum systems: real-time propagation of the evolution operator

Eric Polizzi, Joseph W. Jerome, J. Jerome, 2013, 1309.3587.

Steady Euler–Poisson systems: A differential/integral equation formulation with general constitutive relations☆

Joseph W. Jerome, J. Jerome, 2009 .