Idris Stovall, Ph.d.
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EDUCATIONAL BACKGROUND |
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1997-2001 University of Massachusetts Amherst, MA §
Ph.D. Mathematics §
Concentration:
Dynamical Systems and Numerical solutions to Partial Differential
Equations –Computational Fluid Dynamics (CFD) 1995-1997 University of Massachusetts Amherst, MA §
M.S. Mathematics § Concentration: Advanced Calculus, Complex Analysis, Numerical Analysis 1993-1995 University of Texas Arlington, TX § Graduate level courses § Concentration: Real Analysis, Linear Algebra, Statistical Methods, Differential Equations 1989-1993 Hampton University Hampton, VA §
B.A. Mathematics § Concentration: Topology, Abstract Algebra |
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dissertation |
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Title: Numerical Methods for Rayleigh-Benard Convection Inside a Hele-Shaw Cell Thesis Advisor: Professor Nathaniel Whitaker Abstract: Fluid dynamics inside a Hele-Shaw cell are simulated computationally. A Hele-Shaw cell is a rectangular chamber, filled with fluid, that consists of two closely placed parallel plates. It effectively turns a three-dimensional situation into a “quasi” two-dimensional situation. Whenever a denser fluid is above a less dense fluid, a potentially unstable situation is created. Rayleigh-Benard convection occurs in a layer of fluid in which the density difference (in a top-heavy arrangement) is large enough to cause the fluid to move. The incompressible Navier-Stoke’s equations are used to model and simulate the fluid motion. An energy equation is used to describe the evolution of the solute concentrations that are used to create the density differences in the fluid. The equations are addressed numerically using two different methods. A stability analysis is performed to evaluate the strength of the simulation. |
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professional experience |
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Presently University of Pennsylvania Philadelphia, PA Lecturer/Post Doctoral Research Associate Advisor: Dennis DeTurck, Ph.D. § Collaborating as a computational mathematician in research involving numerical solutions for curl eigenvalue problems; and working with mechanical engineers to investigate the control of Rayleigh-Benard convection both experimentally and numerically. § Teaching undergraduate mathematics courses. 2001-2002 Florida State University Tallahassee, FL Post Doctoral Research Associate Advisor: James Turner Ph.D. § Conducted research in the area of my thesis topic and other related computational applications surrounding fluid dynamics including Adaptive Grid Generation, along with MEMS (Microelectricalmechanical Systems) and Composite Research with respect to the various models (and computational methods) to address these areas. § Collaborated in the process of writing proposals for grants and other federal funding. 2002 Florida Black Business Investment Board (FBBIB) Tallahassee, FL Financial Consultant Executive Director: Hillmon Sorey, Ph.D. §
Derived a quantitative model designed for
forecasting the capitalization budget required in order for FBBIB to address its
mission as a legislatively backed lending entity for the development of
black-owned businesses in the state of Florida. §
Discussed strategies for acquiring income-generating
assets to match funding allocated to FBBIB from Florida’s state legislation
as a subsidiary of the Office of Tourism, Trade and Economic Development. 1999 Wellington Management Company, LLP Boston, MA Quantitative Analyst Advisor: David Depew § Responsible for analyzing actual versus predicted tracking risk for several financial portfolios. Several financial models were researched in order to understand the various factors that were used in their prediction of tracking risk. § Collaborated in the development of an automated statistical analysis tool that aids in the evaluation of proprietary financial models that predict tracking risk. This tool is still being used and evolved by some of the portfolio managers at Wellington. |
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presentations |
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§ “Computational Fluid Dynamics: Rayleigh-Benard Convection Inside a Hele-Shaw Cell”, Society for Industrial and Applied Mathematics (SIAM) Annual Meeting 2000, Rio Grande, Puerto Rico. §
“Turbulent
Convection of Stoke’s Flow in a Hele-Shaw Cell”,
Mathematical Science Research Institute (MSRI) Summer Program 1999,
Berkeley, California. §
“How to
Succeed in Graduate School”, National Association of
Mathematicians (NAM) Undergraduate Mathefest 1998, Benedict
College, South Carolina. |
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