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Ph.D. and M.S. Theses

Ph.D. Theses

  • James Panek (Advisor: R. Ellis). Graph Partitioning with Eigenvectors. Ph.D. Thesis, Spring 2017.
  • Lluís Antoni Jiménez Rugama (Advisor: F. J. Hickernell). Adaptive Quasi-Monte Carlo Cubature. Ph.D. Thesis, Fall 2016.
  • Tao Chen (Advisors: T. R. Bielecki and I. Cialenco). Dynamic Conic Finance via Backward Stochastic Difference Equations and Recursive Construction of Confidence Regions.Ph.D. Thesis, Summer 2016.
  • Christodoulos Mitillos (Advisor: H. Kaul). Topics in Fall-Coloring.Ph.D. Thesis, Summer 2016.
  • Lan Jiang (Advisor: F. J. Hickernell). Guaranteed Adaptive Monte Carlo Methods for Estimating Means of Random Variables. Ph.D. Thesis, Spring 2016.
  • Emma Turian (Advisor: S. Li). Computation and Analysis of Tumor Growth. Ph.D. Thesis, Spring 2016.
  • Yuhan Ding (Advisor: F. J. Hickernell). Guaranteed Adaptive Univariate Function Approximation.Ph.D. Thesis, Fall 2015.
  • Lan Jiang (Advisor: F. J. Hickernell). Guaranteed Adaptive Monte Carlo Methods for Estimating Means of Random Variables.Ph.D. Thesis, Fall 2015.
  • Xuan Zhou (Advisor: F. J. Hickernell). Function Approximation with Kernel Methods. Ph.D. Thesis, Spring 2015.
  • Jinyu Huang (Advisor: H. Kaul). Contributions to Algorithmic Matroid Problems. Ph.D. Thesis, Summer 2015.
  • Ting Gao (Advisor: J. Duan). Non-Gaussian Stochastic Dynamics: Modeling, Simulation, Quantification and Assimilation. Ph.D. Thesis, Spring 2015.
  • Kai Liu (Advisor: S. Li). Dynamics of Vesicles in Viscous Fluid. Ph.D. Thesis, Fall 2014.
  • Allen Flavell (Advisor: X. Li). Physics-Preserving Finite Difference Schemes for the Poisson-Nernst-Planck Equations. Ph.D. Thesis, Summer 2014.
  • Yiou Li (Advisor: F. J. Hickernell). Topics in Statistical Modeling and Optimal Design. Ph.D. Thesis, Summer 2014.
  • Gergely Balint (Advisor: R. Ellis). Constructions in Non-Adaptive Group Testing Steiner Systems and Latin Squares. Ph.D. Thesis, Spring 2014.

M.S. Theses

  • Zachary M. Miksis (Advisors: X. Li and A. Obabko). An Accelerating Couette Flow in NEK5000: Applications in Oceanography and Magnetohydrodynamics. M.S. Thesis, Spring 2017.
  • Martha Razo (Advisor: L. Kang)Improved Maximum Likelihood Estimation for Generalized Bass Model. M.S. Thesis, Spring 2017.
  • Yuan Wang (Advisor: L. Kang). L2E Estimator for the Categorical Model with Elastic Net Penalty. M.S. Thesis, Spring 2017.
  • Xiaoyang Zhao (Advisor: F. J. Hickernell). Simulating the Heston Model via the QE Method with a Specified Error Tolerance. M.S. Thesis, Spring 2017.
  • Da Li (Advisor: F. J. Hickernell). Reliable Quasi-Monte Carlo with Control Variates. M.S. Thesis, Summer 2016.
  • Hannah Albert (Advisor: X. Li). Macroscopic Quantities for Stochastic Differential Equations with a Lévy Noise in Two Dimensions. M.S. Thesis, Spring 2016.
  • Martin Dillon (Advisor: S. Petrović). Runtime for Performing Exact Tests on the p1 Statistical Model for Random Graphs, M.S. Thesis, Spring 2016.
  • Catherine Langman (Advisor: S. Li). Models and Simulations of Sprouting Angiogenesis. M.S. Thesis, Spring 2016.
  • Fanjing Liu (Advisor: X. Li). Computational Cost of Simulating Mean Exit Time Using Stochastic Differential Equations. M.S. Thesis, Spring 2016.
  • Caleb Hamilton (Advisor: X. Li). Nonlinear Simulations of Multi-Vesicle Dynamics. M.S. Thesis, Summer 2015.
  • Melinda Bulin Clardy (Advisor: R. Ellis). Disjunctness Properties Resulting from Concatenation of Group Testing Matrices. M.S. Thesis, Spring 2015.
  • Cullen Tanoue (Advisor: X. LI). Multilevel Algorithms for Phase Retrieval. M.S. Thesis, Spring 2015.
  • Jianhua Wang (Advisor: J. Duan). Approximation of Stochastic Differential Equations with Non-Gaussian Noise and Application to a Volatility Model. M.S. Thesis, Spring 2015.
  • Aditya Kiran Gundaboina Harish (Advisor: X. Li). A Boundary Integral Method for Solving the Brinkman’s Equation in 3-Dimensional Flow. M.S. Thesis, Fall 2014.
  • Hongwei Jin (Advisor: H. Kaul). Renewable Energy in Microgrid: A Stochastic Optimization Approach. M.S. Thesis, Fall 2014.
  • Hui Fang (Advisors: I. Cialenco and T. R. Bielecki). Option Pricing and Hedging under Jump Diffusion Model with Differential Interest Rates. M.S. Thesis, Summer 2014.
  • Michael Langman (Advisor: X, Li). Motion of Bubbly Fluid in a Tank. M.S. Thesis, Summer 2014.
  • Yunjiao Liu (Advisor: M. J. Pelsmajer). Maximum Induced Subgraphs of K-Trees with Components of Order 1 or 2. M.S. Thesis, Summer 2014.
  • Xin Tong (Advisor: F. J. Hickernell). A Guaranteed, Adaptive, Automatic Algorithm for Univariate Function Minimization. M.S. Thesis, Summer 2014.
  • Sisi Zhang (Advisor: L. Kang). Learning the Structure of Probability Networks with Data Uncertainty. M.S. Thesis, Summer 2014.
  • Zhefu Chen (Advisor: L. Kang). Analysis Variation in Multistage Manufacturing Process Based On Tree RegressionM.S. Thesis, Spring 2014.
  • Shipeng Han (Advisor: L. Kang). Coordinate-Exchange Algorithm Construction of Uniform Space Filling Design. M. S. Thesis, Spring 2014.
  • Yin Jiang (Advisor: L. Kang). A Review of Orthogonal Latin Hypercube Designs for Computer Experiments. M. S. Thesis, Spring 2014.