Welcome to my website

I’m Rui Fang, a Ph.D. candidate in Mathematics at the University of Pittsburgh, working under the guidance of Prof. William Layton (webpage) in the numerical analysis group. I develop accurate and efficient numerical algorithms to extend the predictability horizon for the simulation of turbulent flows by addressing data uncertainty and the chaotic behavior of flows. Advancements in these methods are essential for studying climate patterns, energy production, and global warming.

My research interests include data assimilation, machine learning, deep learning, probabilistic graphical models, deep reinforcement learning, numerical analysis, scientific computing, computational fluid dynamics, finite element methods, ensemble simulations, and turbulence modeling.

Summary (Download my CV)

Research Interests

  • Numerical Analysis and Scientific Computing, Computational Fluid Dynamics, Finite Element Methods.
  • Data Assimilation, Ensemble Simulation, Monte Carlo, Penalty Methods, Turbulence Modeling.
  • Machine Learning, Deep Learning, Probabilistic Graphical Models, Deep Reinforcement Learning.

Education

Ph.D. in Mathematics, 2019-Present
University of Pittsburgh, PA, United States
Advisor: William J. Layton (wjl@pitt.edu)

Dual B.S. in Mathematics, 2015-2019
University of Cincinnati, OH, United States
Capital Normal University, Beijing, China