<h1>Hou, Yizhao</h1>
<h2>Monograph from <a href="https://data.caltech.edu">CaltechTHESIS committee</a></h2>
<ul>
<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, 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>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>White, Nicholas Conlan (2022) <a href="https://resolver.caltech.edu/CaltechTHESIS:05292022-001428228">Nonlinear Dynamics and Stability of Viscous Free-Surface Microcapillary Flows in V-Shaped Channels and on Curved Surfaces</a>; <a href="https://doi.org/10.7907/yd3w-ck87">10.7907/yd3w-ck87</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>Chen, Yuhua Richard (2017) <a href="https://resolver.caltech.edu/CaltechTHESIS:09022016-135721172">Concentration Inequalities of Random Matrices and Solving Ptychography with a Convex Relaxation</a>; <a href="https://doi.org/10.7907/Z9M906MF">10.7907/Z9M906MF</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>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>Mason, Gemma Ellen (2015) <a href="https://resolver.caltech.edu/CaltechTHESIS:05312015-134909133">Full and Model-Reduced Structure-Preserving Simulation of Incompressible Fluids</a>; <a href="https://doi.org/10.7907/Z9KK98QG">10.7907/Z9KK98QG</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>Tyranowski, Tomasz Michal (2014) <a href="https://resolver.caltech.edu/CaltechTHESIS:12042013-185815472">Geometric Integration Applied to Moving Mesh Methods and Degenerate Lagrangians</a>; <a href="https://doi.org/10.7907/PH3X-YH23">10.7907/PH3X-YH23</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>Pahlevan, Niema Mohammed (2013) <a href="https://resolver.caltech.edu/CaltechTHESIS:05082013-152249157">A Systems Approach to Cardiovascular Health and Disease with a Focus on Aortic Wave Dynamics</a>; <a href="https://doi.org/10.7907/Z9DR2SFM">10.7907/Z9DR2SFM</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>Tao, Molei (2011) <a href="https://resolver.caltech.edu/CaltechTHESIS:05262011-171044915">Multiscale Geometric Integration of Deterministic and Stochastic Systems</a>; <a href="https://doi.org/10.7907/6J83-7C18">10.7907/6J83-7C18</a></li>
<li>Yang, Yue (2011) <a href="https://resolver.caltech.edu/CaltechTHESIS:02212011-233246689">Lagrangian and Vortex-Surface Fields in Turbulence</a>; <a href="https://doi.org/10.7907/DF3E-G629">10.7907/DF3E-G629</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>Stern, Ari Joshua (2009) <a href="https://resolver.caltech.edu/CaltechETD:etd-12312008-173851">Geometric Discretization of Lagrangian Mechanics and Field Theories</a>; <a href="https://doi.org/10.7907/K943-VJ44">10.7907/K943-VJ44</a></li>
<li>Li, Zhiyi (2009) <a href="https://resolver.caltech.edu/CaltechETD:etd-08042008-005339">High-Order Solution of Elliptic Partial Differential Equations in Domains Containing Conical Singularities</a>; <a href="https://doi.org/10.7907/VEEB-AV75">10.7907/VEEB-AV75</a></li>
<li>Tian, Lixiu (2008) <a href="https://resolver.caltech.edu/CaltechETD:etd-08272007-145455">Effective Behavior of Dielectric Elastomer Composites</a>; <a href="https://doi.org/10.7907/CZNF-JB47">10.7907/CZNF-JB47</a></li>
<li>Donaldson, Roger David (2008) <a href="https://resolver.caltech.edu/CaltechETD:etd-05212008-164705">Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator</a>; <a href="https://doi.org/10.7907/S4S7-8T31">10.7907/S4S7-8T31</a></li>
<li>Hoch, David (2008) <a href="https://resolver.caltech.edu/CaltechETD:etd-05202008-111349">Nonreflecting Boundary Conditions Obtained from Equivalent Sources for Time-Dependent Scattering Problems</a>; <a href="https://doi.org/10.7907/5M0P-NR33">10.7907/5M0P-NR33</a></li>
<li>Bou-Rabee, Nawaf Mohammed (2007) <a href="https://resolver.caltech.edu/CaltechETD:etd-06052007-153115">Hamilton-Pontryagin Integrators on Lie Groups</a>; <a href="https://doi.org/10.7907/0EC4-2042">10.7907/0EC4-2042</a></li>
<li>Dondl, Patrick Werner (2007) <a href="https://resolver.caltech.edu/CaltechETD:etd-05292007-211950">Structure and Evolution of Martensitic Phase Boundaries</a>; <a href="https://doi.org/10.7907/89AW-3S87">10.7907/89AW-3S87</a></li>
<li>Latini, Marco (2007) <a href="https://resolver.caltech.edu/CaltechETD:etd-12082006-124547">Simulations and Analysis of Two- and Three-Dimensional Single-Mode Richtmyer-Meshkov Instability using Weighted Essentially Non-Oscillatory and Vortex Methods</a>; <a href="https://doi.org/10.7907/1397-GZ04">10.7907/1397-GZ04</a></li>
<li>Zhang, Lei (2007) <a href="https://resolver.caltech.edu/CaltechETD:etd-05162007-172755">Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales</a>; <a href="https://doi.org/10.7907/AZ06-4B54">10.7907/AZ06-4B54</a></li>
<li>Bou-Rabee, Nawaf Mohammed (2007) <a href="https://resolver.caltech.edu/CaltechETD:etd-06052007-153115">Hamilton-Pontryagin Integrators on Lie Groups</a>; <a href="https://doi.org/10.7907/0EC4-2042">10.7907/0EC4-2042</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>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>Demanet, Laurent (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-05262006-133555">Curvelets, Wave Atoms, and Wave Equations</a>; <a href="https://doi.org/10.7907/1TEF-RQ51">10.7907/1TEF-RQ51</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>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>Bobba, Kumar Manoj (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-05282004-143324">Robust Flow Stability: Theory, Computations and Experiments in Near Wall Turbulence</a>; <a href="https://doi.org/10.7907/0J1D-1B18">10.7907/0J1D-1B18</a></li>
<li>Chenchiah, Isaac Vikram (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-05252004-131315">Energy-Minimizing Microstructures in Multiphase Elastic Solids</a>; <a href="https://doi.org/10.7907/RXE5-9A33">10.7907/RXE5-9A33</a></li>
<li>Bobba, Kumar Manoj (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-05282004-143324">Robust Flow Stability: Theory, Computations and Experiments in Near Wall Turbulence</a>; <a href="https://doi.org/10.7907/0J1D-1B18">10.7907/0J1D-1B18</a></li>
<li>Leok, Melvin (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-03022004-000251">Foundations of Computational Geometric Mechanics</a>; <a href="https://doi.org/10.7907/KDV0-WR34">10.7907/KDV0-WR34</a></li>
<li>Mauch, Sean Patrick (2003) <a href="https://resolver.caltech.edu/CaltechETD:etd-05202003-170423">Efficient Algorithms for Solving Static Hamilton-Jacobi Equations</a>; <a href="https://doi.org/10.7907/5R5P-Y603">10.7907/5R5P-Y603</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>Howard, Elizabeth Anne (2003) <a href="https://resolver.caltech.edu/CaltechETD:etd-03042003-115138">A Front Tracking Method for Modelling Thermal Growth</a>; <a href="https://doi.org/10.7907/HRNV-DA03">10.7907/HRNV-DA03</a></li>
<li>Craciun, Bogdan (2002) <a href="https://resolver.caltech.edu/CaltechTHESIS:10082010-142653040">Phase Boundary Propagation in Heterogeneous Media</a>; <a href="https://doi.org/10.7907/JXG6-W865">10.7907/JXG6-W865</a></li>
<li>Craciun, Bogdan (2002) <a href="https://resolver.caltech.edu/CaltechTHESIS:10082010-142653040">Phase Boundary Propagation in Heterogeneous Media</a>; <a href="https://doi.org/10.7907/JXG6-W865">10.7907/JXG6-W865</a></li>
<li>Purohit, Prashant Kishore (2002) <a href="https://resolver.caltech.edu/CaltechETD:etd-11072006-100058">Dynamics of Phase Transitions in Strings, Beams and Atomic Chains</a>; <a href="https://doi.org/10.7907/DP97-XH80">10.7907/DP97-XH80</a></li>
<li>Petrasek, Danny (2002) <a href="https://resolver.caltech.edu/CaltechETD:etd-12052003-095049">Diffusion-Mediated Regulation Endocrine Networks</a>; <a href="https://doi.org/10.7907/776t-vs55">10.7907/776t-vs55</a></li>
<li>Petrasek, Danny (2002) <a href="https://resolver.caltech.edu/CaltechETD:etd-12052003-095049">Diffusion-Mediated Regulation Endocrine Networks</a>; <a href="https://doi.org/10.7907/776t-vs55">10.7907/776t-vs55</a></li>
<li>Yu, Chengxiang Rena (2001) <a href="https://resolver.caltech.edu/CaltechTHESIS:10112010-130530819">Three-Dimensional Cohesive Modeling of Impact Damage of Composites</a>; <a href="https://doi.org/10.7907/nd8e-tc84">10.7907/nd8e-tc84</a></li>
<li>Tokman, Mayya (2001) <a href="https://resolver.caltech.edu/CaltechETD:etd-02062006-154529">Magnetohydrodynamic modeling of solar magnetic arcades using exponential propagation methods</a>; <a href="https://doi.org/10.7907/PDCS-GX15">10.7907/PDCS-GX15</a></li>
<li>Qu, Wendong (2000) <a href="https://resolver.caltech.edu/CaltechETD:etd-08152006-140314">Studies on Nonlinear Dispersive Water Waves</a>; <a href="https://doi.org/10.7907/19B4-2N21">10.7907/19B4-2N21</a></li>
<li>Zhu, Xiaoyun (2000) <a href="https://resolver.caltech.edu/CaltechETD:etd-05042006-131410">Hard vs. soft bounds in probablilistic robustness analysis and generalized source coding and optimal web layout design</a>; <a href="https://doi.org/10.7907/1f3r-va82">10.7907/1f3r-va82</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>Qu, Wendong (2000) <a href="https://resolver.caltech.edu/CaltechETD:etd-08152006-140314">Studies on Nonlinear Dispersive Water Waves</a>; <a href="https://doi.org/10.7907/19B4-2N21">10.7907/19B4-2N21</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>Kao, John (1998) <a href="https://resolver.caltech.edu/CaltechETD:etd-01222008-091958">Two-Dimensional Steady Bow Waves in Water of Finite Depth</a>; <a href="https://doi.org/10.7907/tp0w-sd61">10.7907/tp0w-sd61</a></li>
<li>Kao, John (1998) <a href="https://resolver.caltech.edu/CaltechETD:etd-01222008-091958">Two-Dimensional Steady Bow Waves in Water of Finite Depth</a>; <a href="https://doi.org/10.7907/tp0w-sd61">10.7907/tp0w-sd61</a></li>
<li>Zhang, Jin E. (1996) <a href="https://resolver.caltech.edu/CaltechETD:etd-01072008-105605">I. Run-Up of Ocean Waves on Beaches II. Nonlinear Waves in a Fluid-Filled Elastic Tube</a>; <a href="https://doi.org/10.7907/TGA4-F552">10.7907/TGA4-F552</a></li>
<li>Lin, Duo-min (1996) <a href="https://resolver.caltech.edu/CaltechETD:etd-12192007-084353">Run-Up and Nonlinear Propagation of Oceanic Internal Waves and Their Interactions</a>; <a href="https://doi.org/10.7907/rgkn-4g56">10.7907/rgkn-4g56</a></li>
<li>Lin, Duo-min (1996) <a href="https://resolver.caltech.edu/CaltechETD:etd-12192007-084353">Run-Up and Nonlinear Propagation of Oceanic Internal Waves and Their Interactions</a>; <a href="https://doi.org/10.7907/rgkn-4g56">10.7907/rgkn-4g56</a></li>
<li>Zhang, Jin E. (1996) <a href="https://resolver.caltech.edu/CaltechETD:etd-01072008-105605">I. Run-Up of Ocean Waves on Beaches II. Nonlinear Waves in a Fluid-Filled Elastic Tube</a>; <a href="https://doi.org/10.7907/TGA4-F552">10.7907/TGA4-F552</a></li>
<li>Zhong, Xiaoguang Allan (1995) <a href="https://resolver.caltech.edu/CaltechETD:etd-10222007-135103">Continuum dynamics of solid-solid phase transitions</a>; <a href="https://doi.org/10.7907/PW4M-9B73">10.7907/PW4M-9B73</a></li>
<li>Lu, Wei-Min (1995) <a href="https://resolver.caltech.edu/CaltechETD:etd-03022006-131646">Control of Uncertain Systems: State-Space Characterizations</a>; <a href="https://doi.org/10.7907/dnxg-nz58">10.7907/dnxg-nz58</a></li>
</ul>