Joseph W Jerome

  • 1415 Citations
1967 …2020
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Research Output 1967 2020

  • 1415 Citations
  • 100 Article
  • 5 Conference contribution
  • 1 Comment/debate
  • 1 Letter
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Article
2020

A theoretical approach for the electrochemical characterization of ciliary Epithelium

Sacco, R., Guidoboni, G., Jerome, J. W., Bonifazi, G., Marazzi, N. M., Vercellin, A. C. V., Lang, M. S. & Harris, A., Feb 2020, In : Life. 10, 2, 8.

Research output: Contribution to journalArticle

Open Access
epithelium
secretion
transporter
Epithelium
Carbonic Acid
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
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
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
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
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
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
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
1997
19 Citations (Scopus)

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

Chen, G. Q., Jerome, J. W. & Zhang, B., Jan 1 1997, In : Nonlinear Analysis, Theory, Methods and Applications. 30, 1, p. 233-244 12 p.

Research output: Contribution to journalArticle

Relaxation Limit
Drift-diffusion Model
Singular Limit
Hydrodynamic Model
Reduced Model
88 Citations (Scopus)

Qualitative properties of steady-state Poisson-Nernst-Planck systems: Perturbation and simulation study

Barcilon, V., Chen, D. P., Eisenberg, R. S. & Jerome, J. W., Jun 1 1997, In : SIAM Journal on Applied Mathematics. 57, 3, p. 631-648 18 p.

Research output: Contribution to journalArticle

Qualitative Properties
Siméon Denis Poisson
Simulation Study
Boundary conditions
Singular Perturbation
64 Citations (Scopus)

Qualitative properties of steady-state Poisson-Nernst-Planck systems: Mathematical study

Park, J. H. & Jerome, J. W., Jan 1 1997, In : SIAM Journal on Applied Mathematics. 57, 3, p. 609-630 22 p.

Research output: Contribution to journalArticle

Qualitative Properties
Siméon Denis Poisson
Uniqueness
Charge
Boundary conditions
1996
36 Citations (Scopus)

On a steady-state quantum hydrodynamic model for semiconductors

Zhang, B. & Jerome, J. W., Feb 1996, In : Nonlinear Analysis, Theory, Methods and Applications. 26, 4, p. 845-856 12 p.

Research output: Contribution to journalArticle

Quantum Hydrodynamics
Theorem proving
Perturbation techniques
Integrodifferential equations
Hydrodynamic Model
1995
3 Citations (Scopus)
Asymptotically Linear
Galerkin Approximation
Approximation Theory
Linear partial differential equation
Saddlepoint