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Joseph W Jerome

  • 1414 Citations
1967 …2019
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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

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

Jerome, J. W. & Wunsch, J.

National Science Foundation

9/15/09 → 8/31/11

Project: Research project

Research Output 1967 2019

  • 1414 Citations
  • 99 Article
  • 5 Conference contribution
  • 1 Comment/debate
  • 1 Letter
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