Applied Mathematics and Statistics - PhD Theses

The dissertations presented here, authored by our PhD students, have been made available with their author's approval.
We encourage all of our PhD students to publish their thesis on this site.

For a full overview of all thesis abstracts over the last 7 years in our three main areas:
  • Computational Applied Mathematics

  • Operational Research

  • Statistics

  • Thermonuclear Flame Studies in Rectangular Geometry
    Paul Allen LaVergne, December 2007 Adobe PDF Version

  • The Effects of Temperature Equilibrium in Mixed Cell Hydrodynamics
    Thomas Masser, December 2007 Adobe PDF Version

  • Enhanced 3D Front Tracking Method with Locally Grid Based Interface Tracking
    Yuanhua Li, August 2007 Gziped Postscript Version

  • Simulation of Magnetohydrodynamic Multiphase Flow
    Jian Du, May 2007 Gziped Postscript Version

  • A Conservative Front Tracking Method in N-Dimensions
    Jinjie Liu, August 2006 Gziped Postscript Version

  • Error Analysis in Numerical Solutions of Various Shock Physics Problems
    Ming Zhao, August 2005 PDF Version

  • Stochastic Error Analysis of Multiscale Flow Simulations: The Two-phase Oil Reservoir Problem
    Yoon-Ha Lee, August 2005 Gziped Postscript Version

  • Direct Numerical Simulation of Bubbly Flows and Interfacial Dynamics of Phase Transitions
    Tianshi Lu, August 2005 Gziped Postscript Version

  • Fluid Displacement in Rock Cores: A Study Based on Three Dimensional X-ray Microtomography Images
    Masa Prodanovic, August 2005 Gziped Postscript Version

  • Statistical Error Analysis in Numerical Solutions of Shock Physics Problems
    Taewon Lee, May 2005 Gziped Postscript Version

  • Errors in Numerical Solutions of Shock Physics Problems
    Yan Yu, Dec 2004 Gziped Postscript Version

  • Estimation of Computational Simulation Errors in Gas Dynamics
    Yunghee Kang, May 2003 Gziped Postscript Version

  • Automated Morphometry for Neural Cells
    Christina M. Weaver, May 2003 Gziped Postscript Version

  • Magnetically-Driven Rayleigh-Taylor Instability
    Charles J, Ju, Dec 2002 Gziped Postscript Version

  • Fluid Mixing: Rayleigh-Taylor Mixing Rate and Diesel Fuel Injection Spray
    Andrea Marchese, Dec 2002 Gziped Postscript Version

  • Fluid Flow in a Rock Fractures using Finite Difference Lattice Boltzmann Method
    Imbunm Kim, Aug 2002 Gziped Postscript Version

  • A Study of Predictability in Stochastic Reservoirs and Scale-Up
    Seung Yeon Cho, Aug 2002 Gziped Postscript Version

  • A Throat Finding Algorithm for Medial Axis Analysis of 3D Images of Vesiculated Basalts
    Hyunkyung Shin, Aug 2002 Gziped Postscript Version

  • Protein-DNA binding simulation on parallel computers
    Alexandre Korobka, Aug 2002 Gziped Postscript Version

  • Parallel Computation of Radiative Heat Transfer in an Axisymmetric Closed Chamber: An Application to Crystal Growth
    William Garber, Aug 2002 Gziped Postscript Version

  • A Parallelized Point-Shifted Tetrahedral Grid for the Finite Element Method
    Wei Guo, May 2002 Gziped Postscript Version

  • A Numerical and Experimental Study of a Shock-Accelerated Heavy Gas Cylinder
    Cindy Zoldi, May 2002

  • Optimal Parallelization of Simulated Annealing by State Mixing
    King-Wai Chu, Dec 2001 Gziped Postscript Version

  • Linearized Analysis of the Richtmyer-Meshkov Instability for Elastic Materials
    Jee-Yeon Nam, December 2001. Gziped Postscript Version

  • The Incompressible Limit of Compressible Multiphase Flow Equations
    Hyeonseong Jin, December 2001. Gziped Postscript Version

  • A Posteriori Error Estimate for Front-Tracking
    Marc Laforest, December 2001. Gziped Postscript Version

  • Succinct Strip Encoding of triangle meshes
    Xinyu Xiang, August 2001. Gziped Postscript Version

  • Automated Recognition Algorithms for Neural Studies
    Ingrid Koh, May 2001 Gziped Postscript Version

  • A Geometric and Statistical Analysis of Fibrous Materials from Three-Dimensional High Resolution Images
    Hyunmi Yang, May 2001 Gziped Postscript Version

  • Late Time Phenomena of Single Mode Rayleigh-Taylor Instability
    An-Der Lin, December 2000. Gziped Postscript Version

  • A Study of the 2-Dimensional Riemann Problem for a 2x2 Hyperbolic Conservation Law
    Woonjae Hwang, August 2000. Gziped Postscript Version

  • Geometric and Statistical Analysis of Porous Media
    Arun Bhaskar Venkatarangan, May 2000. Gziped Postscript Version

  • Computational Methods for Statistical Solutions of Inverse Problems for Flow in Porous Media
    Hongjoong Kim, May 2000. Gziped Postscript Version

  • A Three-Dimensional Front Tracking Algorithm for Etching and Deposition Processes
    Glenn William VanDerWoude, May 2000. Gziped Postscript Version

  • Statistical Characterization of Planar Two-Dimensional Rayleigh-Taylor Mixing Layers
    Dmitry Sendersky, March 2000. Gziped Postscript Version

  • Random Field Simulation and an Application of Kriging to Image Thresholding
    Wonho Oh, December 1998. Gziped Postscript Version

  • Transport by Random Stationary Flows
    Leonid Koralov, July 1998. Gziped Postscript Version

  • A Theoretical Study of Tracer Flow through Heterogeneous Porous Media in Curved Geometry
    Wonsuck Lee, July 1998. Gziped Postscript Version

  • Periodic Structure in Two-Dimensional Riemann Problems for Hamilton-Jacobi Equations
    John Dominick Pinezich, July 1998. Gziped Postscript Version

  • Analytical Approximate Solutions for the Prices of American Exotic Options
    Tatiana S. Taksar, August 1997. Gziped Postscript Version

  • A Numerical Study of the Richtmeyer-Meshkov Instability in Cylindrical Geometry
    Mary Jane Graham, December 1996. Gziped Postscript Version

  • Analytical Nonlinear Theory of Unstable Fluid Mixing Driven by a Shock Wave
    Sungik Son, December 1996. Gziped Postscript Version

  • Analysis of the Equations of Conservative Elastoplasticity and Numerical Solution to the Riemann Problem
    Stephen Tael, December 1996. Gziped Postscript Version

  • A Front Tracking Method for Regularization-Sensitive Shock Waves
    Hyun-Cheol Hwang, August 1996. Gziped Postscript Version

  • Numerical Study of Single-Electron Effects in Systems of Small Tunnel Junctions
    Leonardo Fonseca, May 1996. Gziped Postscript Version

  • Parallel Algorithms for Molecular Dynamics wth Applications to Thin-Film Sputter Deposition
    Roger Alan McCoy, December 1995. Gziped Postscript Version

  • Dispersion of Tracer Slugs for Flow in Porous Media
    Ana Cristina Grossi, December 1995. Gziped Postscript Version

  • Effects of Viscous Terms on Solutions of Riemann Problems
    Jane Hurley, August 1995. Gziped Postscript Version

  • Nonequilibrium Condensation behind a Shock Wave in Retrograde Vapor
    David Saltz, August 1995. Gziped Postscript Version

  • Front Tracking of Complex Wave Interactions
    Brian Boston, May 1995. Gziped Postscript Version

  • Two Phase Flow Analysis of Turbulent Mixing in the Rayleigh-Taylor Instability
    Yupin Chen, May 1995. Gziped Postscript Version

  • A Numerical Investigation of the Richtmyer-Meshkov Instability Using Front Tracking
    Richard Holmes, August 1994. Gziped Postscript Version

  • Stochastic Geology and Porous Media Flow: Theory and Simulations
    Felipe Pereira, August 1992. Postscript Version: Gziped Abstract and Table of Contents , Gziped Bulk of the Thesis

  • The Role of Surface Tension in Multiphase Flow Regimes
    Pantaleao da Silva, August 1992. Gziped Postscript Version
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    Last updated November 24, 1998.
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