<h1>Hou, Yizhao</h1>
<h2>Monograph from <a href="https://data.caltech.edu">CaltechTHESIS advisor</a></h2>
<ul>
<li>Chen, Yifan (2023) <a href="https://resolver.caltech.edu/CaltechTHESIS:05292023-175108484">On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems</a>; <a href="https://doi.org/10.7907/83p4-c644">10.7907/83p4-c644</a></li>
<li>Zhang, Ziyun (2023) <a href="https://resolver.caltech.edu/CaltechTHESIS:05302023-222447373">Low-Rank Matrix Recovery: Manifold Geometry and Global Convergence</a>; <a href="https://doi.org/10.7907/hd6q-g460">10.7907/hd6q-g460</a></li>
<li>Zhang, Shumao (2023) <a href="https://resolver.caltech.edu/CaltechTHESIS:09202022-034157716">Singularity Formation in the High-Dimensional Euler Equations and Sampling of High-Dimensional Distributions by Deep Generative Networks</a>; <a href="https://doi.org/10.7907/8had-3a90">10.7907/8had-3a90</a></li>
<li>Chen, Jiajie (2022) <a href="https://resolver.caltech.edu/CaltechTHESIS:05172022-223804694">Singularity Formation in Incompressible Fluids and Related Models</a>; <a href="https://doi.org/10.7907/nqff-dh92">10.7907/nqff-dh92</a></li>
<li>Huang, De (2020) <a href="https://resolver.caltech.edu/CaltechTHESIS:05222020-162227420">Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration</a>; <a href="https://doi.org/10.7907/g2nt-yy27">10.7907/g2nt-yy27</a></li>
<li>Zhang, Pengchuan (2017) <a href="https://resolver.caltech.edu/CaltechTHESIS:05312017-000636495">Compressing Positive Semidefinite Operators with Sparse/Localized Bases</a>; <a href="https://doi.org/10.7907/Z91N7Z5J">10.7907/Z91N7Z5J</a></li>
<li>Liu, Pengfei (2017) <a href="https://resolver.caltech.edu/CaltechTHESIS:09092016-000915850">Spatial Profiles in the Singular Solutions of the 3D Euler Equations and Simplified Models</a>; <a href="https://doi.org/10.7907/Z9V9862G">10.7907/Z9V9862G</a></li>
<li>Tavallali, Peyman (2014) <a href="https://resolver.caltech.edu/CaltechTHESIS:05152014-141711934">Sparse Time-Frequency Data Analysis: A Multi-Scale Approach</a>; <a href="https://doi.org/10.7907/Z9TT4NXD">10.7907/Z9TT4NXD</a></li>
<li>Ci, Maolin (2014) <a href="https://resolver.caltech.edu/CaltechTHESIS:03312014-014047677">Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations</a>; <a href="https://doi.org/10.7907/06ND-CY07">10.7907/06ND-CY07</a></li>
<li>Cheng, Mulin (2013) <a href="https://resolver.caltech.edu/CaltechTHESIS:09182012-175436855">Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations</a>; <a href="https://doi.org/10.7907/V638-V403">10.7907/V638-V403</a></li>
<li>Hu, Xin (2012) <a href="https://resolver.caltech.edu/CaltechTHESIS:05302012-081356007">Multiscale Modeling and Computation of 3D Incompressible Turbulent Flows</a>; <a href="https://doi.org/10.7907/K1RZ-1H07">10.7907/K1RZ-1H07</a></li>
<li>Chu, Chia-Chieh (2010) <a href="https://resolver.caltech.edu/CaltechETD:etd-07312009-095021">Multiscale Methods for Elliptic Partial Differential Equations and Related Applications</a>; <a href="https://doi.org/10.7907/PFGA-YY17">10.7907/PFGA-YY17</a></li>
<li>Luo, Wuan (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-05182006-173710">Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations</a>; <a href="https://doi.org/10.7907/RPKX-BN02">10.7907/RPKX-BN02</a></li>
<li>Strinopoulos, Theofilos (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-02192006-165348">Upscaling Immiscible Two-Phase Flows in an Adaptive Frame</a>; <a href="https://doi.org/10.7907/AP0P-8S11">10.7907/AP0P-8S11</a></li>
<li>Westhead, Andrew Neil (2005) <a href="https://resolver.caltech.edu/CaltechETD:etd-05252005-085744">Upscaling for Two-Phase Flows in Porous Media</a>; <a href="https://doi.org/10.7907/T7Q0-FG76">10.7907/T7Q0-FG76</a></li>
<li>Yu, Xinwei (2005) <a href="https://resolver.caltech.edu/CaltechETD:etd-05302005-161405">Localized Non-bBlowup Conditions for 3D Incompressible Euler Flows and Related Equations</a>; <a href="https://doi.org/10.7907/K5E1-W938">10.7907/K5E1-W938</a></li>
<li>Stredie, Valentin Gabriel (2005) <a href="https://resolver.caltech.edu/CaltechETD:etd-05272005-004852">Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion</a>; <a href="https://doi.org/10.7907/8PWE-RK28">10.7907/8PWE-RK28</a></li>
<li>Fetecau, Razvan Constantin (2003) <a href="https://resolver.caltech.edu/CaltechETD:etd-05222003-110241">Variational Methods for Nonsmooth Mechanics</a>; <a href="https://doi.org/10.7907/VXBJ-R447">10.7907/VXBJ-R447</a></li>
<li>Hu, Gang (2001) <a href="https://resolver.caltech.edu/CaltechTHESIS:02232011-105921767">Singularity formation in three-dimensional vortex sheets</a>; <a href="https://doi.org/10.7907/5mw5-d871">10.7907/5mw5-d871</a></li>
<li>Si, Hui (2000) <a href="https://resolver.caltech.edu/CaltechTHESIS:10052010-131226155">Numerical study of interfacial flow with surface tension in two and three dimensions</a>; <a href="https://doi.org/10.7907/8n4d-y915">10.7907/8n4d-y915</a></li>
<li>Park, Peter J. (2000) <a href="https://resolver.caltech.edu/CaltechETD:etd-02272006-094856">Multiscale numerical methods for the singularly perturbed convection-diffusion equation</a>; <a href="https://doi.org/10.7907/4C7T-3440">10.7907/4C7T-3440</a></li>
<li>Efendiev, Yalchin R. (1999) <a href="https://resolver.caltech.edu/CaltechETD:etd-11102005-090314">The Multiscale Finite Element Method (MsFEM) and Its Applications</a>; <a href="https://doi.org/10.7907/2QJN-2S06">10.7907/2QJN-2S06</a></li>
<li>Haroldsen, David John (1997) <a href="https://resolver.caltech.edu/CaltechETD:etd-01102008-153911">The numerical calculation of three-dimensional water waves using a boundary integral method</a>; <a href="https://doi.org/10.7907/etyh-8140">10.7907/etyh-8140</a></li>
</ul>