Some Preprints of J.W. Jerome

• Global Weak Solutions for an Incompressible Charged Fluid with Multi-Scale Couplings: Initial-Boundary Value Problem (with Riccardo Sacco)
• A Trapping Principle and Convergence Result for Finite Element Approximate Solutions of Steady Reaction/Diffusion Systems
• Quantum Corrected Drift--Diffusion Models: Solution Fixed Point Map and Finite Element Approximation (with Carlo de Falco and Riccardo Sacco)
• Local Properties of an Isothermal Charged Fluid: Initial-Boundary Value Problem
• Efficient Approximation of Implicitly Defined Functions: General Theorems and Classical Benchmark Studies (with Anders Linner)
• Convergence of Density Functional Iterative Procedures with a Newton-Raphson Algorithm (with Paul Sievert, Linhui Ye, In Gee Kim, and Arthur Freeman)
• A Unique Graph of Minimal Elastic Energy (with Anders Linner)
• Mixed-Hybrid Discretization Methods for the Linear Boltzmann Transport Equation (with Serge Van Criekingen, Robert Beauwens, and Elmer Lewis)
• A Three-Dimensional Model of Cellular Electrical Activity (with Yoichiro Mori and Charles Peskin)
• Functional Analytic Methods for Evolution Systems: Local Smooth Theory Stable Under Singular Limits
• Drift-Diffusion in Electrochemistry: Thresholds for Boundary Flux and Discontinuous Optical Generation (with Siegfried Carl)
• Trapping Regions for Discontinuously Coupled Systems of Evolution Variational Inequalities and Application (with Siegfried Carl and Seppo Heikkila)
• The Cauchy Problem for Compressible Hydrodynamic-Maxwell Systems: A Local Theory for Smooth Solutions
• Trapping Regions for Elliptic Systems with Discontinuously Coupled Vector Fields (with Siegfried Carl)
• An Analytical Study of Smooth Solutions of the Blotekjaer Hydrodynamic Model of Electron Transport
• Trapping Region for Discontinuous Quasilinear Elliptic Systems of Mixed Monotone Type (with Siegfried Carl)
• Analytical Approaches to Charge Transport in a Moving Medium
• A Trapping Principle for Discontinuous Elliptic Systems of Mixed Monotone Type
• 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)
• 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
• A Finite Element Approximation Theory for the Drift-Diffusion Semiconductor Model (with Thomas Kerkhoven)
• 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
• Modular Algorithms for Transient Semiconductor Device Simulation (with W.E. Coughran)