Some Preprints of J.W. Jerome
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A Variational and Regularization Framework for Stable Strong Solutions of
Nonlinear Boundary-Value Problems
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The Multidimensional Damped Wave Equation:
Maximal Weak Solutions for Nonlinear Forcing via Semigroups and
Approximation
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Consistency of Local Density Approximations and Quantum Corrections
for Time-Dependent Quantum Systems
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A Tight Nonlinear Approximation Theory for Time Dependent Closed Quantum
Systems
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Convergent Iteration in Sobolev Space for Time Dependent Closed Quantum
Systems
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The Quantum Faedo-Galerkin Equation: Evolution
Operator and Time Discretization
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Time Dependent Closed Quantum Systems: Nonlinear Kohn-Sham Potential
Operators and Weak Solutions
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Operator Newton Iterative Convergence for Time Dependent Density
Functional Theory
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Nonlinear Conformation Response in the Finite Channel: Existence of a
Unique Solution for the Dynamic PNP Model
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Ascertaining the Limitations of Low Mobility on Organic Solar Cell
Performance
(with B.M. Savoie, S. Tan, C.-W. Shu, M.A. Ratner, and T.J. Marks)
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Discretization of Time Dependent Quantum Systems: Real-time Propagation of
the Evolution Operator
(with Eric Polizzi)
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The Steady Boundary Value Problem for Charged Incompressible Fluids:
PNP/Navier Stokes Systems
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Simulation of the Buxton-Clarke Model for Organic Photovoltaic Cells
(with Mark Ratner, Jon Servaites, Chi-Wang Shu, and Sirui Tan)
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Charge Transport in an Incompressible Fluid: New Devices in Computational
Electronics
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Conservative and Monotone Mixed-Hybridized Finite Element Approximation
of Transport Problems in Heterogeneous Domains
(with Marco Brera, Yoichiro Mori, and Riccardo Sacco)
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Mathematical Advances and Horizons for Classical and Quantum-Perturbed
Drift-Diffusion Systems: Solid State Devices and Beyond
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Steady Euler Poisson Systems: A Differential/Integral Equation Formulation
with General Constitutive Relations
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Global Weak Solutions for an Incompressible Charged Fluid with
Multi-Scale Couplings:
Initial-Boundary Value Problem
(with Riccardo Sacco)
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Quantum Corrected Drift--Diffusion Models:
Solution Fixed Point Map and Finite Element Approximation
(with Carlo de Falco and Riccardo Sacco)
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A Trapping Principle and Convergence Result for
Finite Element Approximate Solutions
of Steady Reaction/Diffusion Systems
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Local Properties of an Isothermal Charged Fluid:
Initial-Boundary Value Problem
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Efficient Approximation of Implicitly Defined Functions: General Theorems
and Classical Benchmark Studies
(with Anders Linner)
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Convergence of Density Functional Iterative Procedures
with a Newton-Raphson Algorithm
(with Paul Sievert, Linhui Ye, In Gee Kim, and Arthur Freeman)
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A Unique Graph of Minimal Elastic Energy
(with Anders Linner)
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A Three-Dimensional Model of Cellular Electrical Activity
(with Yoichiro Mori and Charles Peskin)
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Mixed-Hybrid Discretization Methods for the Linear Boltzmann Transport
Equation
(with Serge Van Criekingen, Robert Beauwens, and Elmer Lewis)
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Functional Analytic Methods for
Evolution Systems: Local Smooth Theory Stable Under Singular Limits
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The Thermodynamic Characterization of Spontaneous Electrochemical
Reactions
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Drift-Diffusion in Electrochemistry:
Thresholds for
Boundary Flux and Discontinuous Optical Generation
(with Siegfried Carl)
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Trapping Regions for Discontinuously Coupled Systems of Evolution
Variational Inequalities and Application
(with Siegfried Carl and Seppo Heikkila)
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The Cauchy Problem for Compressible Hydrodynamic-Maxwell Systems:
A Local Theory for Smooth Solutions
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Trapping Regions for
Elliptic Systems with Discontinuously Coupled Vector Fields
(with Siegfried Carl)
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An Analytical Study of Smooth Solutions of the Blotekjaer Hydrodynamic
Model of Electron Transport
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Trapping Region for Discontinuous Quasilinear
Elliptic Systems of Mixed Monotone Type
(with Siegfried Carl)
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Analytical Approaches to Charge Transport in a Moving Medium
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A Trapping Principle for Discontinuous
Elliptic Systems of Mixed Monotone Type
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Newton Iteration for Partial Differential Equations and the
Approximation of the Identity
(with Gregory E. Fasshauer and Eugene C. Gartland, Jr. )
- Electrodiffusion Model of Rectangular Current Pulses
in Ionic Channels of Cellular Membranes
(with Carl Gardner and Robert Eisenberg)
- Analytical and Computational Advances for
Hydrodynamic Models of Classical and Quantum Charge Transport
- Algorithms Defined by Nash Iteration:
Some Implementations via
Multilevel Collocation and Smoothing
(with Gregory E. Fasshauer and Eugene C. Gartland, Jr. )
- A Domain Decomposition Method for Silicon Devices
(with Carlo Cercignani, Irene Gamba, and Chi-Wang Shu)
- Compressible Euler-Maxwell Equations
(with Gui-Qiang Chen and Dehua Wang)
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The Utility of Modeling and Simulation in Determining
Transport Performance Properties of Semiconductors
(with Bernardo Cockburn and Chi-Wang Shu)
- Device Benchmark Comparisons via Kinetic,
Hydrodynamic, and High-Field Models
(with Carlo Cercignani, Irene Gamba, and Chi-Wang Shu)
- Multistep Approximation Algorithms: Improved
Convergence Rates through Postconditioning with Smoothing Kernels
(with Gregory E. Fasshauer)
- A Domain Decomposition Method: A Simulation Study
(with Carlo Cercignani, Irene Gamba, and Chi-Wang Shu)
- Applicability of the High Field Model: An Analytical
Study via Asymptotic Parameters Defining Domain Decomposition
(with Carlo Cercignani, Irene Gamba, and Chi-Wang Shu)
- Applicability of the High Field Model: A Preliminary
Numerical Study
(with Carlo Cercignani, Irene Gamba, and Chi-Wang Shu)
- Two Carrier Semiconductor Device Models with Geometric
Structure and Symmetry Properties (with Gui-Qiang Chen, Chi-Wang Shu, and
Dehua Wang)
- Existence and the Singular Relaxation Limit for the
Inviscid Hydrodynamic Energy Model (with Gui-Qiang Chen and Bo
Zhang)
- Particle Hydrodynamic Moment Models in Biology and
Microelectronics: Singular Relaxation Limits (with Gui-Qiang Chen and
Bo Zhang)
- Qualitative Properties of Steady-State
Poisson-Nernst-Planck Systems: Mathematical Study (with J.-H. Park)
- Qualitative Properties of Steady-State
Poisson-Nernst-Planck Systems: Perturbation and Simulation Study (with
V. Barcilon, D.-P. Chen, and R.S. Eisenberg)
- On a Steady-State Quantum Hydrodynamic Model for
Semiconductors (with Bo Zhang)
- Energy Transport Systems for Semiconductors:
Analysis and Simulation (with Chi-Wang Shu)
- The Approximation Problem for Drift-Diffusion
Systems
- A Hydrodynamic Model of Temperature Change in the
Open Ionic Channel (with
D.-P. Chen, R.S. Eisenberg, and C.-W. Shu)
- An Asymptotically Linear Fixed Point Extension
of the Inf-Sup Theory of Galerkin Approximation
- Quantum Hydrodynamic Simulation of Hysteresis in the
Resonant Tunneling Diode
(with
Z. Chen, B. Cockburn, and Carl Gardner)
- Transport Effects and Characteristic Modes in the
Modeling and Simulation of Submicron Devices (with Chi-Wang Shu)
- The Mathematical Study and Approximation of
Semiconductor Models
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A Finite Element Approximation Theory for the Drift-Diffusion
Semiconductor Model
(with Thomas Kerkhoven)
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Drift-Diffusion Systems:Variational Principles and Fixed Point Maps for
Steady-State Semiconductor Models
- Numerical Approximation of PDE System
Fixed-Point Maps via Newton's Method
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Modular Algorithms for Transient Semiconductor Device Simulation
(with W.E. Coughran)