Grants per year

## Personal profile

### Research Interests

Nonlinear Analysis, Approximation Theory, Partial Differential Equations, Transport Theory.

### Education/Academic qualification

PhD, Purdue University

… → 1966

## 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.

Hydrodynamics
Engineering & Materials Science

Boundary value problems
Engineering & Materials Science

Newton-Raphson method
Engineering & Materials Science

Boundary conditions
Engineering & Materials Science

Splines
Engineering & Materials Science

Mathematical operators
Engineering & Materials Science

Partial differential equations
Engineering & Materials Science

Fixed point
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Grants 2009 2011

- 1 Finished

## Conferences/Workshops on Partial Differential Equations and Related Analysis and Applications

9/15/09 → 8/31/11

Project: Research project

## Research Output 1967 2019

1
Citation
(Scopus)

## Consistency of local density approximations and quantum corrections for time-dependent quantum systems

Jerome, J. W., Jan 1 2019, In : Applicable Analysis.Research output: Contribution to journal › Article

Local density approximation

Quantum Systems

Hamiltonians

Approximation

Time-dependent Density Functional Theory

## 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 journal › Article

Approximation theory

Hamiltonians

Nonlinear Approximation

Approximation Theory

Galerkin

1
Citation
(Scopus)

## Convergent iteration in Sobolev space for time dependent closed quantum systems

Jerome, J. W., Apr 2018, In : Nonlinear Analysis: Real World Applications. 40, p. 130-147 18 p.Research output: Contribution to journal › Article

Sobolev spaces

Evolution Operator

Quantum Systems

Sobolev Spaces

Mathematical operators

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 journal › Article

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 journal › Article

Ion Channels

Charge

Pump

Fluid

Mechanical Stress