Joseph W Jerome

  • 1414 Citations
1967 …2019
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Research Output 1967 2019

  • 1414 Citations
  • 99 Article
  • 5 Conference contribution
  • 1 Comment/debate
  • 1 Letter
2019
1 Citation (Scopus)
Local density approximation
Quantum Systems
Hamiltonians
Approximation
Time-dependent Density Functional Theory
2018

A Tight Nonlinear Approximation Theory for Time Dependent Closed Quantum Systems

Jerome, J. W., Feb 19 2018, (Accepted/In press) In : Journal of Numerical Mathematics.

Research output: Contribution to journalArticle

Approximation theory
Hamiltonians
Nonlinear Approximation
Approximation Theory
Galerkin
1 Citation (Scopus)
Sobolev spaces
Evolution Operator
Quantum Systems
Sobolev Spaces
Mathematical operators
2017
1 Citation (Scopus)

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

Jerome, J. W., May 4 2017, In : Numerical Functional Analysis and Optimization. 38, 5, p. 590-601 12 p.

Research output: Contribution to journalArticle

Evolution Operator
Time Discretization
Galerkin
Weak Solution
Quantum Systems
3 Citations (Scopus)

Three-dimensional simulation of biological ion channels under mechanical, thermal and fluid forces

Sacco, R., Airoldi, P., Mauri, A. G. & Jerome, J. W., Mar 1 2017, In : Applied Mathematical Modelling. 43, p. 221-251 31 p.

Research output: Contribution to journalArticle

Ion Channels
Charge
Pump
Fluid
Mechanical Stress
2015

Operator Newton iterative convergence for time dependent density functional theory

Jerome, J. W., Oct 19 2015, 18th International Workshop on Computational Electronics, IWCE 2015. Institute of Electrical and Electronics Engineers Inc., 7301967

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Probability density function
Density functional theory
Mathematical operators
Newton-Raphson method
9 Citations (Scopus)
Potential Operators
Evolution Operator
Quantum Systems
Weak Solution
Nonlinear systems
2014
7 Citations (Scopus)

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

Jerome, J. W. & Polizzi, E., Dec 2 2014, In : Applicable Analysis. 93, 12, p. 2574-2597 24 p.

Research output: Contribution to journalArticle

Evolution Operator
Real time systems
Quantum Systems
Discretization
Propagation
2012
1 Citation (Scopus)

Ascertaining the limitations of low mobility on organic solar cell performance

Savoie, B. M., Tan, S., Jerome, J. W., Shu, C. W., Ratner, M. A. & Marks, T. J., Sep 27 2012, 2012 15th International Workshop on Computational Electronics, IWCE 2012. 6242859

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Carrier mobility
Heterojunctions
Charge transfer
Organic solar cells
Conformation
Unique Solution
Conformations
Dynamic models
Dynamic Model
2011
8 Citations (Scopus)
Navier-Stokes System
Incompressible Fluid
Boundary value problems
Boundary Value Problem
Fluids
2010
12 Citations (Scopus)

A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains

Brera, M., Jerome, J. W., Mori, Y. & Sacco, R., Oct 1 2010, In : Computer Methods in Applied Mechanics and Engineering. 199, 41-44, p. 2709-2720 12 p.

Research output: Contribution to journalArticle

Electrophysiology
Maximum principle
Partial differential equations
Mass transfer
Finite element method
3 Citations (Scopus)

Simulation of the Buxton-Clarke model for organic photovoltaic cells

Jerome, J. W., Ratner, M. A., Servaites, J. D., Shu, C. W. & Tan, S., Dec 1 2010, 2010 14th International Workshop on Computational Electronics, IWCE 2010. p. 195-198 4 p. 5677981. (2010 14th International Workshop on Computational Electronics, IWCE 2010).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Photovoltaic cells
Excitons
Butyric acid
Electrons
Carrier mobility
2009
19 Citations (Scopus)
Global Weak Solutions
Incompressible Fluid
Initial-boundary-value Problem
Boundary value problems
Fluids
1 Citation (Scopus)
Solid state devices
Drift-diffusion Model
Drift-diffusion
solid state devices
horizon
16 Citations (Scopus)

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

de Falco, C., Jerome, J. W. & Sacco, R., Mar 20 2009, In : Journal of Computational Physics. 228, 5, p. 1770-1789 20 p.

Research output: Contribution to journalArticle

approximation
maximum principle
Maximum principle
Current voltage characteristics
Semiconductor devices
3 Citations (Scopus)
Integral-differential Equation
Asymptotic Limit
Constitutive Relations
Asymptotic stability
Boundary value problems
2008
5 Citations (Scopus)
Maximum principle
Stiffness matrix
Reaction-diffusion System
Trapping
Convergence Results
10 Citations (Scopus)

Computational modeling and simulation of complex systems in bio-electronics

Jerome, J. W., Chini, B., Longaretti, M. & Sacco, R., Mar 1 2008, In : Journal of Computational Electronics. 7, 1, p. 10-13 4 p.

Research output: Contribution to journalArticle

Electrophysiology
Biochemistry
Computational Simulation
Discretization Method
Computational Modeling
15 Citations (Scopus)

Computational models in nano-bioelectronics: Simulation of ionic transport in voltage operated channels

Longaretti, M., Marino, G., Chini, B., Jerome, J. W. & Sacco, R., Jul 1 2008, In : Journal of Nanoscience and Nanotechnology. 8, 7, p. 3686-3694 9 p.

Research output: Contribution to journalArticle

Mechanical Phenomena
Chemical Phenomena
Physics
Ion Channels
Theoretical Models
electromagnetic interactions
nonlinearity
sodium
microwaves
8 Citations (Scopus)

Electrochemical modeling and characterization of voltage operated channels in nano-bio-electronics

Longaretti, M., Chini, B., Jerome, J. W. & Sacco, R., Feb 1 2008, In : Sensor Letters. 6, 1, p. 49-56 8 p.

Research output: Contribution to journalArticle

Electronic equipment
Electric potential
electric potential
electronics
Physics
Local Properties
Glimm Scheme
Initial-boundary-value Problem
Boundary value problems
Viscosity
2007
7 Citations (Scopus)

A unique graph of minimal elastic energy

Linnér, A. & Jerome, J. W., May 1 2007, In : Transactions of the American Mathematical Society. 359, 5, p. 2021-2041 21 p.

Research output: Contribution to journalArticle

Derivatives
Graph in graph theory
Energy
Curve
Integrand
1 Citation (Scopus)

Convergence of density functional iterative procedures with a Newton-Raphson algorithm

Jerome, J. W., Sievert, P. R., Ye, L. H., Kim, I. G. & Freeman, A. J., Sep 1 2007, In : Journal of Computational Electronics. 6, 1-3, p. 349-352 4 p.

Research output: Contribution to journalArticle

Newton-Raphson Algorithm
Newton-Raphson method
Iterative Procedure
Density Functional
newton

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

Jerome, J. W. & Linnér, A., Mar 1 2007, In : Journal of Approximation Theory. 145, 1, p. 81-99 19 p.

Research output: Contribution to journalArticle

Approximation theory
Approximation Theory
Benchmark
Approximation
Theorem
2006
1 Citation (Scopus)

Mixed-hybrid discretization methods for the linear Boltzmann transport equation

Van Criekingen, S., Beauwens, R., Jerome, J. W. & Lewis, E. E., Apr 1 2006, In : Computer Methods in Applied Mechanics and Engineering. 195, 19-22, p. 2719-2741 23 p.

Research output: Contribution to journalArticle

Boltzmann transport equation
Fluxes
Lagrange multipliers
spherical harmonics
parity
1 Citation (Scopus)

Multi-physics modeling and finite element approximation of charge flow in ionic channels

Chini, B., Jerome, J. W. & Sacco, R., Dec 1 2006, 7th International Conference on Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro-Electronics and Micro-Systems, EuroSimE 2006. Vol. 2006. 1643975

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Physics
Computer simulation
Navier Stokes equations
Charge transfer
Finite element method
2005

The thermodynamic characterization of spontaneous electrochemical reactions

Jerome, J. W., Nov 30 2005, In : Nonlinear Analysis, Theory, Methods and Applications. 63, 5-7, p. 754-762 9 p.

Research output: Contribution to journalArticle

Thermodynamics
Association reactions
Electrochemical cells
Electrochemistry
Gibbs free energy
2004
5 Citations (Scopus)
Intermodulation
intermodulation
electromagnetic interactions
nonlinearity
Microwaves
2 Citations (Scopus)
electrochemistry
Electrochemistry
Fluxes
semiconductors
electrodes
2003
6 Citations (Scopus)

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

Carl, S., Heikkilä, S. & Jerome, J. W., Jun 1 2003, In : Journal of Mathematical Analysis and Applications. 282, 1, p. 421-435 15 p.

Research output: Contribution to journalArticle

Trapping
Coupled System
Variational Inequalities
Ordered Banach Space
Banach spaces
2002
44 Citations (Scopus)

Analytical approaches to charge transport in a moving medium

Jerome, J. W., Jan 1 2002, In : Transport Theory and Statistical Physics. 31, 4-6, p. 333-366 34 p.

Research output: Contribution to journalArticle

hyperbolic systems
Charge Transport
Cauchy problem
ion concentration
Charge transfer
6 Citations (Scopus)

An analytical study of smooth solutions of the Bløtekjær hydrodynamic model of electron transport

Jerome, J. W., Dec 1 2002, In : VLSI Design. 15, 4, p. 729-742 14 p.

Research output: Contribution to journalArticle

Hydrodynamics
Heat flux
Large scale systems
Vacuum
Electrons
1 Citation (Scopus)

Electrodiffusion Model Simulation of Rectangular Current Pulses in a Biological Channel

Gardner, C. L., Jerome, J. W. & Eisenberg, R. S., Oct 1 2002, In : Journal of Computational Electronics. 1, 3, p. 347-351 5 p.

Research output: Contribution to journalArticle

Simulation Model
pulses
Advection-diffusion Equation
simulation
Poisson equation
6 Citations (Scopus)

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

Gardner, C. L., Jerome, J. W. & Eisenberg, R. S., Jan 1 2002, In : Journal of Theoretical Biology. 219, 3, p. 291-299 9 p.

Research output: Contribution to journalArticle

Advection-diffusion Equation
Advection
Biased
simulation models
Simulation Model
10 Citations (Scopus)

Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type

Carl, S. & Jerome, J. W., Nov 1 2002, In : Nonlinear Analysis, Theory, Methods and Applications. 51, 5, p. 843-863 21 p.

Research output: Contribution to journalArticle

Quasilinear Elliptic Systems
Trapping
Monotone
Boundary conditions
Mixed Boundary Conditions
2001
4 Citations (Scopus)

A trapping principle for discontinuous elliptic systems of mixed monotone type

Jerome, J. W., Oct 15 2001, In : Journal of Mathematical Analysis and Applications. 262, 2, p. 700-721 22 p.

Research output: Contribution to journalArticle

Discontinuous Systems
Elliptic Systems
Trapping
Monotone Systems
Lower and Upper Solutions
2000
4 Citations (Scopus)

A domain decomposition method for Silicon devices

Cercignani, C., Gamba, I. M., Jerome, J. W. & Shu, C. W., Jan 1 2000, In : Transport Theory and Statistical Physics. 29, 3-5, p. 525-536 12 p.

Research output: Contribution to journalArticle

Domain decomposition methods
Domain Decomposition Method
Silicon
decomposition
silicon
6 Citations (Scopus)

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

Fasshauer, G. E., Gartland, E. C. & Jerome, J. W., Jul 1 2000, In : Journal of Computational and Applied Mathematics. 119, 1-2, p. 161-183 23 p.

Research output: Contribution to journalArticle

Collocation
Smoothing
Scattered Data Approximation
Differential equations
Iteration
1 Citation (Scopus)

Analytical and computational advances for hydrodynamic models of classical and quantum charge transport

Jerome, J. W., Jan 1 2000, In : Unknown Journal. 10, 4, p. 453-466 14 p.

Research output: Contribution to journalArticle

Hydrodynamics
Charge transfer
Benchmarking
Equipment and Supplies
Resonant tunneling diodes
72 Citations (Scopus)

Compressible Euler-Maxwell equations

Chen, G. Q., Jerome, J. W. & Wang, D., Jan 1 2000, In : Transport Theory and Statistical Physics. 29, 3-5, p. 311-331 21 p.

Research output: Contribution to journalArticle

Maxwell equations
Maxwell's equations
boundary value problems
Maxwell equation
Electromagnetic fields
29 Citations (Scopus)

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

Cercignani, C., Gamba, I. M., Jerome, J. W. & Shu, C. W., Jan 21 2000, In : Computer Methods in Applied Mechanics and Engineering. 181, 4, p. 381-392 12 p.

Research output: Contribution to journalArticle

Hydrodynamics
hydrodynamics
Kinetics
kinetics
Diodes
9 Citations (Scopus)

Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes

Gardner, C. L., Jerome, J. W. & Eisenberg, R. S., Jan 1 2000, In : SIAM Journal on Applied Mathematics. 61, 3, p. 792-802 11 p.

Research output: Contribution to journalArticle

Membrane
Membranes
Biological membranes
Systems Analysis
Traveling Wave Solutions
9 Citations (Scopus)

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

Fasshauer, G. E., Gartland, E. C. & Jerome, J. W., Dec 1 2000, In : Numerical Algorithms. 25, 1-4, p. 181-195 15 p.

Research output: Contribution to journalArticle

Newton Iteration
Partial differential equations
Partial differential equation
Derivatives
Quadratic Convergence
1999
18 Citations (Scopus)

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

Fasshauer, G. E. & Jerome, J. W., Jan 1 1999, In : Advances in Computational Mathematics. 10, 1, p. 1-27 27 p.

Research output: Contribution to journalArticle

Kernel Smoothing
Approximation algorithms
Newton-Raphson method
Newton Methods
Convergence Rate
1998

A domain decomposition method: A simulation study

Cercignani, C., Gamba, I. M., Jerome, J. W. & Shu, C. W., Jan 1 1998, Extended Abstracts of 1998 6th International Workshop on Computational Electronics, IWCE 1998. Institute of Electrical and Electronics Engineers Inc., p. 174-177 4 p. 742740. (Extended Abstracts of 1998 6th International Workshop on Computational Electronics, IWCE 1998; vol. 1998-October).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Drift-diffusion
Domain decomposition methods
Domain Decomposition Method
Simulation Study
Systematic Sampling
1 Citation (Scopus)

Analysis and simulation of extended hydrodynamic models: The multi-valley gunn oscillator and MESFET symmetries

Chen, G. Q., Jerome, J. W. & Shu, C. W., Jan 1 1998, In : VLSI Design. 6, 1-4, p. 277-282 6 p.

Research output: Contribution to journalArticle

Gunn oscillators
Hydrodynamics
Networks (circuits)
4 Citations (Scopus)

Applicability of the high field model: A preliminary numerical study

Cercignani, C., Gamba, I. M., Jerome, J. W. & Shu, C. W., Dec 1 1998, In : VLSI Design. 8, 1-4, p. 275-282 8 p.

Research output: Contribution to journalArticle

Hydrodynamics
Finite difference method
Numerical methods
Electric fields
Boundary conditions
3 Citations (Scopus)

Applicability of the high field model: An analytical study via asymptotic parameters defining domain decomposition

Cercignani, C., Gamba, I. M., Jerome, J. W. & Shu, C. W., Dec 1 1998, In : VLSI Design. 8, 1-4, p. 135-141 7 p.

Research output: Contribution to journalArticle

Analytical models
Decomposition
Kinetics
Charge transfer
Electric fields