David Horntrop

Ph.D.; Princeton University; Applied And Computational Mathematics; 1995

M.A.; Princeton University; Applied And Computational Mathematics; 1992

B.A.; Washington University in St Louis; Mathematics; 1990

B.S.; Washington University in St Louis; Systems Science And Engineering; 1990

http://web.njit.edu/~horntrop

MATH 477 - STOCHASTIC PROCESSES

Application of Machine Learning to Discrete Interacting Particle Systems
Application of machine learning models to discrete interacting particle systems using recurrent neural networks, graph neural networks, and physics informed models.

Density Relaxation in Granular Systems
One of the principal findings in the tapped density relaxation study (that involved both stochastic and deterministic simulations) was the discovery of a dynamical process responsible for the phenomenon, namely, the upward progression of self-organized layers induced by a plane boundary. Indeed, its occurrence in both simulation models suggests the universality of this mechanism in density relaxation which, to our knowledge, had not been previously reported in the literature. An equally striking result was the identification of the existence of critical tap amplitude which optimizes the evolution process. This work has spurred the development of dynamical systems models by my colleague (Prof. D. Blackmore), using a first principals approach, which in turn enabled us to initiate a collaboration with Prof. Tricoche, a computer scientist at Purdue University with expertise in identifying and characterizing dynamically evolving structures in large data sets.
Our collaboration has resulted in the publication of several peer-reviewed journal papers, conference papers and presentations.

Anthony D. Rosato, Luo Zuo, Denis L. Blackmore, Hao Wu, David J. Horntrop, David Parker, Christopher Windows-Yule. 2016. “Tapped granular column dynamics: simulations, experiments and modeling.” Computational Particle Mechanics, vol. 3, no. 3, pp. 333-348.

Anthony D Rosato, Luo Zuo, Denis L. Blackmore, Hao Wu , David J. Horntrop, David J. Parker, Christopher Windows-Yule. 2015. “Tapped Granular Column Dynamics: Simulations, Experiments and Modeling.” Computational Particle Mechanics, vol. 3, no. ISSN 2196-4378, pp. 333-348.

Anthony D. Rosato, Oleksandr Dybenko, Vishagan Ratnaswamy, David J. Horntrop, Lou Kondic. 2010. “Microstructure Development in Tapped Granular Systems.” Physical Review E, vol. 81, no. 061301, pp. 1-10.

David J. Horntrop. 2010. “Concentration Effects in Mesoscopic Simulation of Coarsening.” Math. Comp. Sim., vol. 80, no. 6, pp. 1082-1088.

“Temporal dynamics in density relaxation”
AIP Conference Proceedings, April (2nd Quarter/Spring) 2010.

“Density Relaxation of Granular Matter Through Monte Carlo Simulations”
Springer, July (3rd Quarter/Summer) 2009.