David Horntrop
Encyclopedia
David J Horntrop is an American
mathematician
and is currently an Associate Professor of Mathematics
in the Department of Mathematical Sciences at the New Jersey Institute of Technology
. He has made many contributions in the fields of Applied Mathematics and Engineering.
.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and is currently an Associate Professor of Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
in the Department of Mathematical Sciences at the New Jersey Institute of Technology
New Jersey Institute of Technology
New Jersey Institute of Technology is a public research university in Newark, New Jersey. It is often also referred to as Newark College of Engineering ....
. He has made many contributions in the fields of Applied Mathematics and Engineering.
Career and recognitions
Dr. Horntrop received his BS from Washington University in St. Louis and his PhD in 1995 from PrincetonPrinceton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
.
The research of David J. Horntrop has focused on the development and numerical simulation of stochasticStochasticStochastic refers to systems whose behaviour is intrinsically non-deterministic. A stochastic process is one whose behavior is non-deterministic, in that a system's subsequent state is determined both by the process's predictable actions and by a random element. However, according to M. Kac and E...
models of physical phenomena for problems ranging from materials science to fluid dynamicsFluid dynamicsIn physics, fluid dynamics is a sub-discipline of fluid mechanics that deals with fluid flow—the natural science of fluids in motion. It has several subdisciplines itself, including aerodynamics and hydrodynamics...
. His studies of turbulent diffusion were based on random field models for the advection of passive scalars and involved asymptotics, stochastic analysis, and the creation of novel wavelet-based Monte Carlo numerical schemes for the simulation of random fields. His current studies of materials involve the development and use of mesoscopic models to describe surface processes in order to gain insight on the importance of small scale phenomena on the creation of large scale patterns. He is presently developing and validating new spectral methods for the numerical solution of stochastic partial differential equations for these studies.