NRC Research and Fellowship Programs
Fellowships Office
Policy and Global Affairs

Participating Agencies

RAP opportunity at National Institute of Standards and Technology     NIST

Mathematical Modeling and Simulation

Location

Information Technology Laboratory, Applied and Computational Mathematics Division

opportunity location
50.77.11.C0761 Gaithersburg, MD

NIST only participates in the February and August reviews.

Advisers

name email phone
Ryan Murray Evans ryan.evans@nist.gov 301.975.5456

Description

Mathematical modeling forms the basis for understanding, simulating, optimizing and controlling numerous scientific phenomenon  and associated measurements.  Mathematical models frequently take the form of an ordinary or partial differential equations, and are often nonlinear. There are a few instances where analytic solutions are available and in other cases solutions can be sought through the design of efficient and accurate numerical solutions.  Analytic solutions to similar problems or numerical approximations can be used to validate mathematical models through comparison with physical experiments, measured quantities of interest, and optimized experimental design.  Methods that yield analytic solutions are often employed to reduce the complexity of mathematical models and can, in turn help describe and improve instrument behavior in physically relevant limits.  Abundant examples are found in physics, chemistry, and biology.  We are interested developing new mathematical models to simulate scientific experiments that produce measurements. This research often leads to numerical implementations and associated testing, to numerical analysis of accuracy, to optimization, optimal control or optimal design of instrument performance.

key words
mathematical modeling; differential equations; simulation; perturbation methods; optimization

Eligibility

Citizenship:  Open to U.S. citizens
Level:  Open to Postdoctoral applicants

Stipend

Base Stipend Travel Allotment Supplementation
$82,764.00 $3,000.00
Copyright © 2024. National Academy of Sciences. All rights reserved.Terms of Use and Privacy Policy