Welcome

I have been a graduate student in the Mathematics deperatment at the University of Pittsburgh since August 2005. My goal is to get a Ph.D. investigating inverse problems related to fluid flow with my advisor Dr. William Layton.

Research Interests

Computational Fluid Dynamics

Turbulent Fluid Flows
Large Eddy Simulation
Leray Approximation
Numerical PDEs

Optimization and Controls

Inverse Problems
Parameter Identification
Regularization Methods
Image Processing and Deconvolution

Numerical approximation using a modified Tikhonov deconvolution operator to the Chorin solution to the Navier Stokes equations for t = 0.1, dt = 0.005, n = 1 calculated with a Leray-modification to the NSE.