Hou, Yizhao T.

Monograph from CaltechTHESIS committee

• Zhang, Ziyun (2023) Low-Rank Matrix Recovery: Manifold Geometry and Global Convergence; 10.7907/hd6q-g460
• Zhang, Shumao (2023) Singularity Formation in the High-Dimensional Euler Equations and Sampling of High-Dimensional Distributions by Deep Generative Networks; 10.7907/8had-3a90
• Chen, Yifan (2023) On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems; 10.7907/83p4-c644
• Chen, Jiajie (2022) Singularity Formation in Incompressible Fluids and Related Models; 10.7907/nqff-dh92
• White, Nicholas Conlan (2022) Nonlinear Dynamics and Stability of Viscous Free-Surface Microcapillary Flows in V-Shaped Channels and on Curved Surfaces; 10.7907/yd3w-ck87
• Huang, De (2020) Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration; 10.7907/g2nt-yy27
• Chen, Yuhua Richard (2017) Concentration Inequalities of Random Matrices and Solving Ptychography with a Convex Relaxation; 10.7907/Z9M906MF
• Zhang, Pengchuan (2017) Compressing Positive Semidefinite Operators with Sparse/Localized Bases; 10.7907/Z91N7Z5J
• Liu, Pengfei (2017) Spatial Profiles in the Singular Solutions of the 3D Euler Equations and Simplified Models; 10.7907/Z9V9862G
• Mason, Gemma Ellen (2015) Full and Model-Reduced Structure-Preserving Simulation of Incompressible Fluids; 10.7907/Z9KK98QG
• Tavallali, Peyman (2014) Sparse Time-Frequency Data Analysis: A Multi-Scale Approach; 10.7907/Z9TT4NXD
• Ci, Maolin (2014) Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations; 10.7907/06ND-CY07
• Tyranowski, Tomasz Michal (2014) Geometric Integration Applied to Moving Mesh Methods and Degenerate Lagrangians; 10.7907/PH3X-YH23
• Pahlevan, Niema Mohammed (2013) A Systems Approach to Cardiovascular Health and Disease with a Focus on Aortic Wave Dynamics; 10.7907/Z9DR2SFM
• Cheng, Mulin (2013) Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations; 10.7907/V638-V403
• Hu, Xin (2012) Multiscale Modeling and Computation of 3D Incompressible Turbulent Flows; 10.7907/K1RZ-1H07
• Yang, Yue (2011) Lagrangian and Vortex-Surface Fields in Turbulence; 10.7907/DF3E-G629
• Tao, Molei (2011) Multiscale Geometric Integration of Deterministic and Stochastic Systems; 10.7907/6J83-7C18
• Chu, Chia-Chieh (2010) Multiscale Methods for Elliptic Partial Differential Equations and Related Applications; 10.7907/PFGA-YY17
• Li, Zhiyi (2009) High-Order Solution of Elliptic Partial Differential Equations in Domains Containing Conical Singularities; 10.7907/VEEB-AV75
• Stern, Ari Joshua (2009) Geometric Discretization of Lagrangian Mechanics and Field Theories; 10.7907/K943-VJ44
• Hoch, David (2008) Nonreflecting Boundary Conditions Obtained from Equivalent Sources for Time-Dependent Scattering Problems; 10.7907/5M0P-NR33
• Tian, Lixiu (2008) Effective Behavior of Dielectric Elastomer Composites; 10.7907/CZNF-JB47
• Donaldson, Roger David (2008) Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator; 10.7907/S4S7-8T31
• Dondl, Patrick Werner (2007) Structure and Evolution of Martensitic Phase Boundaries; 10.7907/89AW-3S87
• Zhang, Lei (2007) Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales; 10.7907/AZ06-4B54
• Bou-Rabee, Nawaf Mohammed (2007) Hamilton-Pontryagin Integrators on Lie Groups; 10.7907/0EC4-2042
• Bou-Rabee, Nawaf Mohammed (2007) Hamilton-Pontryagin Integrators on Lie Groups; 10.7907/0EC4-2042
• Latini, Marco (2007) Simulations and Analysis of Two- and Three-Dimensional Single-Mode Richtmyer-Meshkov Instability using Weighted Essentially Non-Oscillatory and Vortex Methods; 10.7907/1397-GZ04
• Strinopoulos, Theofilos (2006) Upscaling Immiscible Two-Phase Flows in an Adaptive Frame; 10.7907/AP0P-8S11
• Luo, Wuan (2006) Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations; 10.7907/RPKX-BN02
• Demanet, Laurent (2006) Curvelets, Wave Atoms, and Wave Equations; 10.7907/1TEF-RQ51
• Westhead, Andrew Neil (2005) Upscaling for Two-Phase Flows in Porous Media; 10.7907/T7Q0-FG76
• Stredie, Valentin Gabriel (2005) Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion; 10.7907/8PWE-RK28
• Yu, Xinwei (2005) Localized Non-bBlowup Conditions for 3D Incompressible Euler Flows and Related Equations; 10.7907/K5E1-W938
• Chenchiah, Isaac Vikram (2004) Energy-Minimizing Microstructures in Multiphase Elastic Solids; 10.7907/RXE5-9A33
• Bobba, Kumar Manoj (2004) Robust Flow Stability: Theory, Computations and Experiments in Near Wall Turbulence; 10.7907/0J1D-1B18
• Bobba, Kumar Manoj (2004) Robust Flow Stability: Theory, Computations and Experiments in Near Wall Turbulence; 10.7907/0J1D-1B18
• Leok, Melvin (2004) Foundations of Computational Geometric Mechanics; 10.7907/KDV0-WR34
• Fetecau, Razvan Constantin (2003) Variational Methods for Nonsmooth Mechanics; 10.7907/VXBJ-R447
• Howard, Elizabeth Anne (2003) A Front Tracking Method for Modelling Thermal Growth; 10.7907/HRNV-DA03
• Mauch, Sean Patrick (2003) Efficient Algorithms for Solving Static Hamilton-Jacobi Equations; 10.7907/5R5P-Y603
• Craciun, Bogdan (2002) Phase Boundary Propagation in Heterogeneous Media; 10.7907/JXG6-W865
• Petrasek, Danny (2002) Diffusion-Mediated Regulation Endocrine Networks; 10.7907/776t-vs55
• Craciun, Bogdan (2002) Phase Boundary Propagation in Heterogeneous Media; 10.7907/JXG6-W865
• Petrasek, Danny (2002) Diffusion-Mediated Regulation Endocrine Networks; 10.7907/776t-vs55
• Purohit, Prashant Kishore (2002) Dynamics of Phase Transitions in Strings, Beams and Atomic Chains; 10.7907/DP97-XH80
• Yu, Chengxiang Rena (2001) Three-Dimensional Cohesive Modeling of Impact Damage of Composites; 10.7907/nd8e-tc84
• Tokman, Mayya (2001) Magnetohydrodynamic modeling of solar magnetic arcades using exponential propagation methods; 10.7907/PDCS-GX15
• Zhu, Xiaoyun (2000) Hard vs. soft bounds in probablilistic robustness analysis and generalized source coding and optimal web layout design; 10.7907/1f3r-va82
• Qu, Wendong (2000) Studies on Nonlinear Dispersive Water Waves; 10.7907/19B4-2N21
• Qu, Wendong (2000) Studies on Nonlinear Dispersive Water Waves; 10.7907/19B4-2N21
• Park, Peter J. (2000) Multiscale numerical methods for the singularly perturbed convection-diffusion equation; 10.7907/4C7T-3440
• Efendiev, Yalchin R. (1999) The Multiscale Finite Element Method (MsFEM) and Its Applications; 10.7907/2QJN-2S06
• Kao, John (1998) Two-Dimensional Steady Bow Waves in Water of Finite Depth; 10.7907/tp0w-sd61
• Kao, John (1998) Two-Dimensional Steady Bow Waves in Water of Finite Depth; 10.7907/tp0w-sd61
• Lin, Duo-min (1996) Run-Up and Nonlinear Propagation of Oceanic Internal Waves and Their Interactions; 10.7907/rgkn-4g56
• Zhang, Jin E. (1996) I. Run-Up of Ocean Waves on Beaches II. Nonlinear Waves in a Fluid-Filled Elastic Tube; 10.7907/TGA4-F552
• Zhang, Jin E. (1996) I. Run-Up of Ocean Waves on Beaches II. Nonlinear Waves in a Fluid-Filled Elastic Tube; 10.7907/TGA4-F552
• Lin, Duo-min (1996) Run-Up and Nonlinear Propagation of Oceanic Internal Waves and Their Interactions; 10.7907/rgkn-4g56
• Zhong, Xiaoguang Allan (1995) Continuum dynamics of solid-solid phase transitions; 10.7907/PW4M-9B73
• Lu, Wei-Min (1995) Control of Uncertain Systems: State-Space Characterizations; 10.7907/dnxg-nz58