Zhang, Ziyun (PHD, 2023) Low-Rank Matrix Recovery: Manifold Geometry and Global Convergence

Chen, Yifan (PHD, 2023) On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems

Zhang, Shumao (PHD, 2023) Singularity Formation in the High-Dimensional Euler Equations and Sampling of High-Dimensional Distributions by Deep Generative Networks

Chen, Jiajie (PHD, 2022) Singularity Formation in Incompressible Fluids and Related Models

Huang, De (PHD, 2020) Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration

Zhang, Pengchuan (PHD, 2017) Compressing Positive Semidefinite Operators with Sparse/Localized Bases

Liu, Pengfei (PHD, 2017) Spatial Profiles in the Singular Solutions of the 3D Euler Equations and Simplified Models

Ci, Maolin (PHD, 2014) Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations

Tavallali, Peyman (PHD, 2014) Sparse Time-Frequency Data Analysis: A Multi-Scale Approach

Cheng, Mulin (PHD, 2013) Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations

Hu, Xin (PHD, 2012) Multiscale Modeling and Computation of 3D Incompressible Turbulent Flows

Chu, Chia-Chieh (PHD, 2010) Multiscale Methods for Elliptic Partial Differential Equations and Related Applications

Strinopoulos, Theofilos (PHD, 2006) Upscaling Immiscible Two-Phase Flows in an Adaptive Frame

Luo, Wuan (PHD, 2006) Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations

Yu, Xinwei (PHD, 2005) Localized Non-bBlowup Conditions for 3D Incompressible Euler Flows and Related Equations

Stredie, Valentin Gabriel (PHD, 2005) Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion

Westhead, Andrew Neil (PHD, 2005) Upscaling for Two-Phase Flows in Porous Media

Fetecau, Razvan Constantin (PHD, 2003) Variational Methods for Nonsmooth Mechanics

Hu, Gang (PHD, 2001) Singularity formation in three-dimensional vortex sheets

Park, Peter J. (PHD, 2000) Multiscale numerical methods for the singularly perturbed convection-diffusion equation

Si, Hui (PHD, 2000) Numerical study of interfacial flow with surface tension in two and three dimensions

Efendiev, Yalchin R. (PHD, 1999) The Multiscale Finite Element Method (MsFEM) and Its Applications

Haroldsen, David John (PHD, 1997) The numerical calculation of three-dimensional water waves using a boundary integral method