Hou, Thomas Y.

Committee Member — 57 thesises

• Howard, Elizabeth Anne — A Front Tracking Method for Modelling Thermal Growth (2003, Dissertation (Ph.D.))
• Pahlevan, Niema Mohammed — A Systems Approach to Cardiovascular Health and Disease with a Focus on Aortic Wave Dynamics (2013, Dissertation (Ph.D.))
• Cheng, Mulin — Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations (2013, Dissertation (Ph.D.))
• Zhang, Pengchuan — Compressing Positive Semidefinite Operators with Sparse/Localized Bases (2017, Dissertation (Ph.D.))
• Chen, Yuhua Richard — Concentration Inequalities of Random Matrices and Solving Ptychography with a Convex Relaxation (2017, Dissertation (Ph.D.))
• Zhong, Xiaoguang Allan — Continuum dynamics of solid-solid phase transitions (1995, Dissertation (Ph.D.))
• Lu, Wei-Min — Control of Uncertain Systems: State-Space Characterizations (1995, Dissertation (Ph.D.))
• Demanet, Laurent — Curvelets, Wave Atoms, and Wave Equations (2006, Dissertation (Ph.D.))
• Petrasek, Danny — Diffusion-Mediated Regulation Endocrine Networks (2002, Dissertation (Ph.D.))
• Donaldson, Roger David — Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator (2008, Dissertation (Ph.D.))
• Purohit, Prashant Kishore — Dynamics of Phase Transitions in Strings, Beams and Atomic Chains (2002, Dissertation (Ph.D.))
• Tian, Lixiu — Effective Behavior of Dielectric Elastomer Composites (2008, Dissertation (Ph.D.))
• Mauch, Sean Patrick — Efficient Algorithms for Solving Static Hamilton-Jacobi Equations (2003, Dissertation (Ph.D.))
• Chenchiah, Isaac Vikram — Energy-Minimizing Microstructures in Multiphase Elastic Solids (2004, Dissertation (Ph.D.))
• Leok, Melvin — Foundations of Computational Geometric Mechanics (2004, Dissertation (Ph.D.))
• Mason, Gemma Ellen — Full and Model-Reduced Structure-Preserving Simulation of Incompressible Fluids (2015, Dissertation (Ph.D.))
• Darcy, Matthieu D. — Gaussian Processes for Scientific Machine Learning: PDE Solvers and Operator Learning (2027, Dissertation (Ph.D.))
• Stern, Ari Joshua — Geometric Discretization of Lagrangian Mechanics and Field Theories (2009, Dissertation (Ph.D.))
• Tyranowski, Tomasz Michal — Geometric Integration Applied to Moving Mesh Methods and Degenerate Lagrangians (2014, Dissertation (Ph.D.))
• Bou-Rabee, Nawaf Mohammed — Hamilton-Pontryagin Integrators on Lie Groups (2007, Dissertation (Ph.D.))
• Zhu, Xiaoyun — Hard vs. soft bounds in probablilistic robustness analysis and generalized source coding and optimal web layout design (2000, Dissertation (Ph.D.))
• Li, Zhiyi — High-Order Solution of Elliptic Partial Differential Equations in Domains Containing Conical Singularities (2009, Dissertation (Ph.D.))
• Zhang, Jin E. — I. Run-Up of Ocean Waves on Beaches II. Nonlinear Waves in a Fluid-Filled Elastic Tube (1996, Dissertation (Ph.D.))
• Yang, Yue — Lagrangian and Vortex-Surface Fields in Turbulence (2011, Dissertation (Ph.D.))
• Yu, Xinwei — Localized Non-bBlowup Conditions for 3D Incompressible Euler Flows and Related Equations (2005, Dissertation (Ph.D.))
• Zhang, Ziyun — Low-Rank Matrix Recovery: Manifold Geometry and Global Convergence (2023, Dissertation (Ph.D.))
• Tokman, Mayya — Magnetohydrodynamic modeling of solar magnetic arcades using exponential propagation methods (2001, Dissertation (Ph.D.))
• Stredie, Valentin Gabriel — Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion (2005, Dissertation (Ph.D.))
• Zhang, Lei — Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales (2007, Dissertation (Ph.D.))
• Tao, Molei — Multiscale Geometric Integration of Deterministic and Stochastic Systems (2011, Dissertation (Ph.D.))
• Chu, Chia-Chieh — Multiscale Methods for Elliptic Partial Differential Equations and Related Applications (2010, Dissertation (Ph.D.))
• Ci, Maolin — Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations (2014, Dissertation (Ph.D.))
• Hu, Xin — Multiscale Modeling and Computation of 3D Incompressible Turbulent Flows (2012, Dissertation (Ph.D.))
• Park, Peter J. — Multiscale numerical methods for the singularly perturbed convection-diffusion equation (2000, Dissertation (Ph.D.))
• Li, Zongyi — Neural Operator for Scientific Computing (2025, Dissertation (Ph.D.))
• White, Nicholas Conlan — Nonlinear Dynamics and Stability of Viscous Free-Surface Microcapillary Flows in V-Shaped Channels and on Curved Surfaces (2022, Dissertation (Ph.D.))
• Hoch, David — Nonreflecting Boundary Conditions Obtained from Equivalent Sources for Time-Dependent Scattering Problems (2008, Dissertation (Ph.D.))
• Chen, Yifan — On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems (2023, Dissertation (Ph.D.))
• Craciun, Bogdan — Phase Boundary Propagation in Heterogeneous Media (2002, Dissertation (Ph.D.))
• Huang, De — Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration (2020, Dissertation (Ph.D.))
• Bobba, Kumar Manoj — Robust Flow Stability: Theory, Computations and Experiments in Near Wall Turbulence (2004, Dissertation (Ph.D.))
• Lin, Duo-min — Run-Up and Nonlinear Propagation of Oceanic Internal Waves and Their Interactions (1996, Dissertation (Ph.D.))
• Latini, Marco — Simulations and Analysis of Two- and Three-Dimensional Single-Mode Richtmyer-Meshkov Instability using Weighted Essentially Non-Oscillatory and Vortex Methods (2007, Dissertation (Ph.D.))
• Chen, Jiajie — Singularity Formation in Incompressible Fluids and Related Models (2022, Dissertation (Ph.D.))
• Zhang, Shumao — Singularity Formation in the High-Dimensional Euler Equations and Sampling of High-Dimensional Distributions by Deep Generative Networks (2023, Dissertation (Ph.D.))
• Wang, Yixuan — Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches (2026, Dissertation (Ph.D.))
• Tavallali, Peyman — Sparse Time-Frequency Data Analysis: A Multi-Scale Approach (2014, Dissertation (Ph.D.))
• Liu, Pengfei — Spatial Profiles in the Singular Solutions of the 3D Euler Equations and Simplified Models (2017, Dissertation (Ph.D.))
• Dondl, Patrick Werner — Structure and Evolution of Martensitic Phase Boundaries (2007, Dissertation (Ph.D.))
• Qu, Wendong — Studies on Nonlinear Dispersive Water Waves (2000, Dissertation (Ph.D.))
• Efendiev, Yalchin R. — The Multiscale Finite Element Method (MsFEM) and Its Applications (1999, Dissertation (Ph.D.))
• Yu, Chengxiang Rena — Three-Dimensional Cohesive Modeling of Impact Damage of Composites (2001, Dissertation (Ph.D.))
• Kao, John — Two-Dimensional Steady Bow Waves in Water of Finite Depth (1998, Dissertation (Ph.D.))
• Westhead, Andrew Neil — Upscaling for Two-Phase Flows in Porous Media (2005, Dissertation (Ph.D.))
• Strinopoulos, Theofilos — Upscaling Immiscible Two-Phase Flows in an Adaptive Frame (2006, Dissertation (Ph.D.))
• Fetecau, Razvan Constantin — Variational Methods for Nonsmooth Mechanics (2003, Dissertation (Ph.D.))
• Luo, Wuan — Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations (2006, Dissertation (Ph.D.))