- W. Kuhn, School of Mathematics, Georgia Institute of Technology, 1997, Thesis: Rigorous and reasonable error bounds for the numerical solution of dynamical systems
- M. Larson, Department of Mathematics, Chalmers University of Technology, 1997, Thesis: Analysis of adaptive finite element methods (acted as partial advisor with advisor C. Johnson)
- M. Warner, School of Aerospace Engineering, Georgia Institute of Technology, 1997, Thesis: Numerical Solutions to Optimal-Control Problems by Finite Elements in Time with Adaptive Error Control (acted as partial advisor with advisor D. Hodges)
- D. Mikulencak, School of Chemical Engineering, Georgia Institute of Technology, 2001, Thesis: Inertial Effects in Dilute Suspensions (acted as partial advisor with advisor J. Morris)
- S. Eastman, Department of Mathematics, Colorado State University, 2005, Thesis: Analysis and Application of the Nonlinear Power Method
- D. Neckels, Department of Mathematics, Colorado State University, 2005, Thesis: Variational Methods for Uncertainty Quantification
- J. Sandelin, Department of Mathematics, Colorado State University, 2006, Thesis: Global Estimate and Control of Model, Numerical, and Parameter Error
- T. Wildey, Department of Mathematics, Colorado State University, 2007. Thesis: A posteriori analysis of operator decomposition on interface problems
- S. Lee, Department of Mathematics, Colorado State University, 2008. Thesis: An Adaptive Algorithm for an Elliptic Optimization Problem, and Stochastic-Deterministic Coupling: A Mathematical Framework
- T. Butler, Department of Mathematics, Colorado State University, 2009. Thesis: Computational Measure Theoretic Approach to Inverse Sensitivity Analysis: Methods and Analysis
- M. Buzby, Department of Mathematics, Colorado State University 2009. Thesis: Short time analysis of deterministic ODE solutions and the expected value of a corresponding birth-death process
- W. Newton, Department of Mathematics, Colorado State University, 2011, Thesis: A Posteriori Error Estimates for the Poisson Problem on Closed, Two-Dimensional Surfaces
- N. Burch, Department of Mathematics, Colorado State University, 2011, Thesis: Probabilistic Foundation of Nonlocal Diffusion and Formulation and Analysis for Elliptic Problems on Uncertain Domains
- B. Bugbee, co-advisor (Advisor, J. Breidt), Department of Statistics, Colorado State University, 2015. Semiparametric Regression in the Presence of Complex Variance Structures Arising from Small Angle X-Ray Scattering Data
- C. Vollmer, Department of Statistics, Colorado State University, in progress
- L. Yang, Department of Statistics, Colorado State University, 2018. Infinite Dimensional Stochastics Inverse Problems.
- J. Chi, Department of Statistics, Colorado State University, in progress