Advisor: Hou, Yizhao, Thesis and Dissertations from CaltechTHESIS

• Zhang, Ziyun 2023 (PHD) Low-Rank Matrix Recovery: Manifold Geometry and Global Convergence 10.7907/hd6q-g460
• Chen, Yifan 2023 (PHD) On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems 10.7907/83p4-c644
• Zhang, Shumao 2023 (PHD) Singularity Formation in the High-Dimensional Euler Equations and Sampling of High-Dimensional Distributions by Deep Generative Networks 10.7907/8had-3a90
• Chen, Jiajie 2022 (PHD) Singularity Formation in Incompressible Fluids and Related Models 10.7907/nqff-dh92
• Huang, De 2020 (PHD) Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration 10.7907/g2nt-yy27
• Zhang, Pengchuan 2017 (PHD) Compressing Positive Semidefinite Operators with Sparse/Localized Bases 10.7907/Z91N7Z5J
• Liu, Pengfei 2017 (PHD) Spatial Profiles in the Singular Solutions of the 3D Euler Equations and Simplified Models 10.7907/Z9V9862G
• Ci, Maolin 2014 (PHD) Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations 10.7907/06ND-CY07
• Tavallali, Peyman 2014 (PHD) Sparse Time-Frequency Data Analysis: A Multi-Scale Approach 10.7907/Z9TT4NXD
• Cheng, Mulin 2013 (PHD) Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations 10.7907/V638-V403
• Hu, Xin 2012 (PHD) Multiscale Modeling and Computation of 3D Incompressible Turbulent Flows 10.7907/K1RZ-1H07
• Chu, Chia-Chieh 2010 (PHD) Multiscale Methods for Elliptic Partial Differential Equations and Related Applications 10.7907/PFGA-YY17
• Strinopoulos, Theofilos 2006 (PHD) Upscaling Immiscible Two-Phase Flows in an Adaptive Frame 10.7907/AP0P-8S11
• Luo, Wuan 2006 (PHD) Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations 10.7907/RPKX-BN02
• Yu, Xinwei 2005 (PHD) Localized Non-bBlowup Conditions for 3D Incompressible Euler Flows and Related Equations 10.7907/K5E1-W938
• Stredie, Valentin Gabriel 2005 (PHD) Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion 10.7907/8PWE-RK28
• Westhead, Andrew Neil 2005 (PHD) Upscaling for Two-Phase Flows in Porous Media 10.7907/T7Q0-FG76
• Fetecau, Razvan Constantin 2003 (PHD) Variational Methods for Nonsmooth Mechanics 10.7907/VXBJ-R447
• Hu, Gang 2001 (PHD) Singularity formation in three-dimensional vortex sheets 10.7907/5mw5-d871
• Park, Peter J. 2000 (PHD) Multiscale numerical methods for the singularly perturbed convection-diffusion equation 10.7907/4C7T-3440
• Si, Hui 2000 (PHD) Numerical study of interfacial flow with surface tension in two and three dimensions 10.7907/8n4d-y915
• Efendiev, Yalchin R. 1999 (PHD) The Multiscale Finite Element Method (MsFEM) and Its Applications 10.7907/2QJN-2S06
• Haroldsen, David John 1997 (PHD) The numerical calculation of three-dimensional water waves using a boundary integral method 10.7907/etyh-8140