J. Jerome

J. Jerome, B. Chinia, R. Saccoc, 2006, EuroSime 2006 - 7th International Conference on Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro-Electronics and Micro-Systems.

Professional Biography: Michael Golomb

C. D. Boor, J. Jerome, 1982 .

A tight nonlinear approximation theory for time dependent closed quantum systems

J. Jerome, 2017, J. Num. Math..

Perfect spline solutions to L∞ extremal problems☆

J. Jerome, S. Fisher, 1974 .

Modular Algorithms for Transient Semiconductor Device Simulation , Part I : Analysis of the Outer Iteration

W. M. Coughran, J. Jerome, 1990 .

Existence Analysis for the One-Dimensional Nonlinear Telegraph Equation with Operator Forcing and Constraint

J. Jerome, 2018, 1804.08394.

Convergent approximations in parabolic variational inequalities II: Hamilton-jacobi inequalities

J. Jerome, 1982 .

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

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

The Multidimensional Damped Wave Equation: Maximal Weak Solutions for Nonlinear Forcing via Semigroups and Approximation

J. Jerome, 2018 .

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

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

An operator Newton method for the Stefan problem based on smoothing: a local perspective

J. Jerome, 1990 .

Local support bases for a class of spline functions

L. Schumaker, J. Jerome, 1976 .

On the Distance to a Class of Generalized Splines

L. Schumaker, J. Jerome, 1974 .

On uniform approximation by certain generalized spline functions

Joseph W. Jerome, J. Jerome, 1973 .

Nonlinear operators in LP, 1 < p ≤ ∞

J. Jerome, S. Fisher, 1975 .

Linearization in Certain Nonconvex Minimization Problems and Generalized Spline Projections

J. Jerome, 1973 .

On spline functions determined by singular self-adjoint differential operators☆

J. Pierce, J. Jerome, 1972 .

Linear self-adjoint multipoint boundary value problems and related approximation schemes

J. Jerome, 1970 .

Characterizations of functions with higher order derivatives in ℒ_

L. Schumaker, J. Jerome, 1969 .

A NOTE ON OBTAINING NATURAL SPLINE FUNCTIONS BY THE ABSTRACT APPROACH OF LAURENT.

L. Schumaker, J. Jerome, 1967 .

Asymptotic estimates of the -widths in Hilbert space

J. Jerome, 1972 .

The Approximation Problem for Drift-Diffusion Systems

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

Minimum Norm Extremals in Function Spaces

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

Perfect interpolating splines on compact intervals

J. Jerome, S. Fisher, 1975 .

Spline solutions to L1 extremal problems in one and several variables

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

The existence, characterization and essential uniqueness of solutions of ^{∞} extremal problems

J. Jerome, S. D. Fisher, S. Fisher, 1974 .

A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems

J. Jerome, 2023, Numerical Functional Analysis and Optimization.

Computational modeling and simulation of complex systems in bio-electronics

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

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

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

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

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

A Three-Dimensional Model of Cellular Electrical Activity

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

A Theoretical Approach for the Electrochemical Characterization of Ciliary Epithelium

J. Jerome, G. Guidoboni, A. Harris, 2020, Life.

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.

Compressible Euler-Maxwell equations

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

Electrodiffusion model simulation of rectangular current pulses in a voltage-biased biological channel.

R. Eisenberg, J. Jerome, C. Gardner, 2002, Journal of theoretical biology.

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

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

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

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

A trapping principle for discontinuous elliptic systems of mixed monotone type

Joseph W. Jerome, J. Jerome, 2001 .

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

Joseph W. Jerome, J. Jerome, 1985 .

Nonlinear singular multipoint boundary value problems

J. Jerome, 1973 .

Approximate Newton methods and homotopy for stationary operator equations

Joseph W. Jerome, J. Jerome, 1985 .

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

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

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

Joseph W. Jerome, J. Jerome, 2009 .

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..

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..

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..

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

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

Energy Models for One-Carrier Transport in Semiconductor Devices

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

Nonlinear Partial Differential Equations and Related Analysis

Gui-Qiang G. Chen, J. Jerome, G. Gasper, 2005 .

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

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

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.

Consistency of the Local Density Approximation for Time Dependent Closed Quantum Systems

J. Jerome, 2017 .

Consistency of the Local Density Approximation and Generalized Quantum Corrections for Time Dependent Closed Quantum Systems

J. Jerome, 2017 .

Convergent Iteration in Sobolev Space for Time Dependent Closed Quantum Systems

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

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

Joseph W. Jerome, J. Jerome, 2015 .

Nonlinear equations of evolution and a generalized Stefan problem

J. Jerome, 1977 .

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

Joseph W. Jerome, J. Jerome, 1967 .

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

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

Mixed-hybrid discretization methods for the linear Boltzmann transport equation

R. Beauwens, J. Jerome, E. Lewis, 2006 .

Horizontal line analysis of the multidimensional porous medium equation: Existence, rate of convergence and maximum principles

J. Jerome, 1980 .

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

Joseph W. Jerome, J. Jerome, 1980 .

Consistency of local density approximations and quantum corrections for time-dependent quantum systems

J. Jerome, 2020, Applicable Analysis.

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..

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..

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

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

Uniqueness of optimal controls inL∞

J. Jerome, S. Fisher, 1977 .

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

Joseph W. Jerome, J. Jerome, 1995 .

A pólya algorithm for the favard solution, N-width characterizations and Whitney type theorems

J. Jerome, S. Fisher, 1975 .

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

Joseph W. Jerome, J. Jerome, 1970 .

THE ENO METHOD FOR THE HYDRODYNAMIC MODEL FOR SEMICONDUCTOR DEVICES

Chi-Wang Shu, J. Jerome, C. Gardner, 2014 .

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

Joseph W. Jerome, J. Jerome, 2017 .

Semiconductor Models : Their Mathematical Study and Approximation

J. Jerome, 1992 .

Numerical approximation of PDE system fixed-point map via Newton's method

J. Jerome, 1991 .

in Si Nanotransistors

Chi-Wang Shu, J. Jerome, 2001 .

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

Joseph W. Jerome, J. Jerome, 1982 .

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

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

Functional Analytic Methods for Evolution Systems : Local Smooth Theory Stable Under Singular Limits

J. Jerome, 2016 .

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..

L∞ stability of finite element approximations to elliptic gradient equations

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

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

J. Jerome, E. Polizzi, 2013, 1309.3587.

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

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

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 .

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

Joseph W. Jerome, J. Jerome, 1985 .

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

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

Uniform convergence of the horizontal line method for solutions and free boundaries in Stefan evolution inequalities

J. Jerome, B. Brosowski, 1980 .

A criterion for isolated solution structure and global computability for operator equations

J. Jerome, 1986 .

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.

Fixed Point and Implicit Function Theorems and Their Applications

J. Jerome, 1984 .

Stable and unstable elastica equilibrium and the problem of minimum curvature

J. Jerome, S. Fisher, 1976 .

The thermodynamic characterization of spontaneous electrochemical reactions

J. Jerome, 2005 .