The Maximum Entropy Method for Reconstructing Density Distributions – [pdf – online code execution]
A summary of using the maximum entropy principle from information theory to reconstruct a PDF (or other distributions) given a finite number of moments. This is quite useful especially when using the method of moments in population balances or related stochastic transport processes. The document also includes some results from my code for reconstructing some bimodal and trimodal Gaussian distributions, beta, and log-normal distributions.
Quadrature Methods for Numerical Integration – [pdf]
Pressure Integration of the Navier-Stokes Equations (Invited Talk – CRSIM) [pdf]
Pressure Integration Rules and Restriction of the Navier-Stokes Equations (AIAA-2010-4288) [pdf]
Extension of Kelvin’s Minimum Energy Theorem to Flows with Open Regions (AIAA-2010-4287) [pdf]
My Dissertation: Theoretical Models for Wall Injected Duct Flows (University of Tennesse) [pdf]