Hou, Thomas Y.

Advisor — 24 thesises

• 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.))
• 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.))
• Stredie, Valentin Gabriel — Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion (2005, 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.))
• Si, Hui — Numerical study of interfacial flow with surface tension in two and three dimensions (2000, Dissertation (Ph.D.))
• Chen, Yifan — On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems (2023, Dissertation (Ph.D.))
• Huang, De — Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration (2020, 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.))
• Hu, Gang — Singularity formation in three-dimensional vortex sheets (2001, 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.))
• Efendiev, Yalchin R. — The Multiscale Finite Element Method (MsFEM) and Its Applications (1999, Dissertation (Ph.D.))
• Haroldsen, David John — The numerical calculation of three-dimensional water waves using a boundary integral method (1997, 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.))