# Fingerprint Dive into the research topics where Joseph W Jerome is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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### Engineering & Materials Science

Hydrodynamics

Boundary value problems

Newton-Raphson method

Boundary conditions

Splines

Mathematical operators

Partial differential equations

Approximation theory

Maximum principle

Derivatives

Semiconductor devices

Sobolev spaces

Semiconductor materials

Charge transfer

Hamiltonians

Finite element method

Electrophysiology

Semiconductor device models

Fluids

Fluxes

Domain decomposition methods

Electric fields

Differential equations

Ions

Banach spaces

Numerical methods

Computer simulation

Density functional theory

Electrons

Physics

Band structure

Maxwell equations

Conservation

Cones

Kinetics

Doping (additives)

Poisson equation

Thermodynamics

Electrochemistry

Electronic equipment

Resonant tunneling diodes

Diodes

Decomposition

Carrier mobility

Gunn oscillators

Electric potential

Nonlinear equations

Advection

Viscosity

Iterative methods

### Mathematics

Fixed point

Evolution Operator

Approximation

Newton Methods

Drift-diffusion

Quantum Systems

Approximation Theory

Spline

Iteration

Boundary conditions

Spline Functions

Semiconductors

Initial-boundary-value Problem

Trapping

SimÃ©on Denis Poisson

Hydrodynamic Model

Partial differential equation

Drift-diffusion Model

Model

Charge

Euler

Weak Solution

Galerkin Approximation

Boundary Value Problem

Newton Iteration

Stefan Problem

Sobolev Spaces

Smoothing

Multi-point Boundary Value Problem

Derivative

Galerkin

Higher order derivative

Closed

Charge Transport

Extremal Problems

Qualitative Properties

Gradient

Monotone

Asymptotic Estimates

Domain Decomposition Method

Differential operator

Rate of Convergence

Formulation

Global Weak Solutions

Several Variables

Operator Equation

Discretization

Approximate Solution

Finite Element Approximation

Linear Differential Operator