Browse by Committee Member

Chen, Yifan (2023) On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/83p4-c644. https://resolver.caltech.edu/CaltechTHESIS:05292023-175108484

Zhang, Shumao (2023) Singularity Formation in the High-Dimensional Euler Equations and Sampling of High-Dimensional Distributions by Deep Generative Networks. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8had-3a90. https://resolver.caltech.edu/CaltechTHESIS:09202022-034157716

Zhang, Ziyun (2023) Low-Rank Matrix Recovery: Manifold Geometry and Global Convergence. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/hd6q-g460. https://resolver.caltech.edu/CaltechTHESIS:05302023-222447373

Chen, Jiajie (2022) Singularity Formation in Incompressible Fluids and Related Models. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/nqff-dh92. https://resolver.caltech.edu/CaltechTHESIS:05172022-223804694

White, Nicholas Conlan (2022) Nonlinear Dynamics and Stability of Viscous Free-Surface Microcapillary Flows in V-Shaped Channels and on Curved Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/yd3w-ck87. https://resolver.caltech.edu/CaltechTHESIS:05292022-001428228

Huang, De (2020) Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/g2nt-yy27. https://resolver.caltech.edu/CaltechTHESIS:05222020-162227420

Chen, Yuhua Richard (2017) Concentration Inequalities of Random Matrices and Solving Ptychography with a Convex Relaxation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9M906MF. https://resolver.caltech.edu/CaltechTHESIS:09022016-135721172

Liu, Pengfei (2017) Spatial Profiles in the Singular Solutions of the 3D Euler Equations and Simplified Models. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9V9862G. https://resolver.caltech.edu/CaltechTHESIS:09092016-000915850

Zhang, Pengchuan (2017) Compressing Positive Semidefinite Operators with Sparse/Localized Bases. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z91N7Z5J. https://resolver.caltech.edu/CaltechTHESIS:05312017-000636495

Mason, Gemma Ellen (2015) Full and Model-Reduced Structure-Preserving Simulation of Incompressible Fluids. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9KK98QG. https://resolver.caltech.edu/CaltechTHESIS:05312015-134909133

Ci, Maolin (2014) Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/06ND-CY07. https://resolver.caltech.edu/CaltechTHESIS:03312014-014047677

Tavallali, Peyman (2014) Sparse Time-Frequency Data Analysis: A Multi-Scale Approach. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9TT4NXD. https://resolver.caltech.edu/CaltechTHESIS:05152014-141711934

Tyranowski, Tomasz Michal (2014) Geometric Integration Applied to Moving Mesh Methods and Degenerate Lagrangians. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PH3X-YH23. https://resolver.caltech.edu/CaltechTHESIS:12042013-185815472

Cheng, Mulin (2013) Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/V638-V403. https://resolver.caltech.edu/CaltechTHESIS:09182012-175436855

Pahlevan, Niema Mohammed (2013) A Systems Approach to Cardiovascular Health and Disease with a Focus on Aortic Wave Dynamics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9DR2SFM. https://resolver.caltech.edu/CaltechTHESIS:05082013-152249157

Hu, Xin (2012) Multiscale Modeling and Computation of 3D Incompressible Turbulent Flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K1RZ-1H07. https://resolver.caltech.edu/CaltechTHESIS:05302012-081356007

Tao, Molei (2011) Multiscale Geometric Integration of Deterministic and Stochastic Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/6J83-7C18. https://resolver.caltech.edu/CaltechTHESIS:05262011-171044915

Yang, Yue (2011) Lagrangian and Vortex-Surface Fields in Turbulence. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/DF3E-G629. https://resolver.caltech.edu/CaltechTHESIS:02212011-233246689

Chu, Chia-Chieh (2010) Multiscale Methods for Elliptic Partial Differential Equations and Related Applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PFGA-YY17. https://resolver.caltech.edu/CaltechETD:etd-07312009-095021

Li, Zhiyi (2009) High-Order Solution of Elliptic Partial Differential Equations in Domains Containing Conical Singularities. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/VEEB-AV75. https://resolver.caltech.edu/CaltechETD:etd-08042008-005339

Stern, Ari Joshua (2009) Geometric Discretization of Lagrangian Mechanics and Field Theories. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K943-VJ44. https://resolver.caltech.edu/CaltechETD:etd-12312008-173851

Donaldson, Roger David (2008) Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/S4S7-8T31. https://resolver.caltech.edu/CaltechETD:etd-05212008-164705

Hoch, David (2008) Nonreflecting Boundary Conditions Obtained from Equivalent Sources for Time-Dependent Scattering Problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5M0P-NR33. https://resolver.caltech.edu/CaltechETD:etd-05202008-111349

Tian, Lixiu (2008) Effective Behavior of Dielectric Elastomer Composites. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/CZNF-JB47. https://resolver.caltech.edu/CaltechETD:etd-08272007-145455

Bou-Rabee, Nawaf Mohammed (2007) Hamilton-Pontryagin Integrators on Lie Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0EC4-2042. https://resolver.caltech.edu/CaltechETD:etd-06052007-153115

Dondl, Patrick Werner (2007) Structure and Evolution of Martensitic Phase Boundaries. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/89AW-3S87. https://resolver.caltech.edu/CaltechETD:etd-05292007-211950

Latini, Marco (2007) Simulations and Analysis of Two- and Three-Dimensional Single-Mode Richtmyer-Meshkov Instability using Weighted Essentially Non-Oscillatory and Vortex Methods. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1397-GZ04. https://resolver.caltech.edu/CaltechETD:etd-12082006-124547

Zhang, Lei (2007) Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/AZ06-4B54. https://resolver.caltech.edu/CaltechETD:etd-05162007-172755

Demanet, Laurent (2006) Curvelets, Wave Atoms, and Wave Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1TEF-RQ51. https://resolver.caltech.edu/CaltechETD:etd-05262006-133555

Luo, Wuan (2006) Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RPKX-BN02. https://resolver.caltech.edu/CaltechETD:etd-05182006-173710

Strinopoulos, Theofilos (2006) Upscaling Immiscible Two-Phase Flows in an Adaptive Frame. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/AP0P-8S11. https://resolver.caltech.edu/CaltechETD:etd-02192006-165348

Stredie, Valentin Gabriel (2005) Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8PWE-RK28. https://resolver.caltech.edu/CaltechETD:etd-05272005-004852

Westhead, Andrew Neil (2005) Upscaling for Two-Phase Flows in Porous Media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/T7Q0-FG76. https://resolver.caltech.edu/CaltechETD:etd-05252005-085744

Yu, Xinwei (2005) Localized Non-bBlowup Conditions for 3D Incompressible Euler Flows and Related Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K5E1-W938. https://resolver.caltech.edu/CaltechETD:etd-05302005-161405

Bobba, Kumar Manoj (2004) Robust Flow Stability: Theory, Computations and Experiments in Near Wall Turbulence. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0J1D-1B18. https://resolver.caltech.edu/CaltechETD:etd-05282004-143324

Chenchiah, Isaac Vikram (2004) Energy-Minimizing Microstructures in Multiphase Elastic Solids. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RXE5-9A33. https://resolver.caltech.edu/CaltechETD:etd-05252004-131315

Leok, Melvin (2004) Foundations of Computational Geometric Mechanics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KDV0-WR34. https://resolver.caltech.edu/CaltechETD:etd-03022004-000251

Fetecau, Razvan Constantin (2003) Variational Methods for Nonsmooth Mechanics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/VXBJ-R447. https://resolver.caltech.edu/CaltechETD:etd-05222003-110241

Howard, Elizabeth Anne (2003) A Front Tracking Method for Modelling Thermal Growth. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/HRNV-DA03. https://resolver.caltech.edu/CaltechETD:etd-03042003-115138

Mauch, Sean Patrick (2003) Efficient Algorithms for Solving Static Hamilton-Jacobi Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5R5P-Y603. https://resolver.caltech.edu/CaltechETD:etd-05202003-170423

Craciun, Bogdan (2002) Phase Boundary Propagation in Heterogeneous Media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/JXG6-W865. https://resolver.caltech.edu/CaltechTHESIS:10082010-142653040

Petrasek, Danny (2002) Diffusion-Mediated Regulation Endocrine Networks. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/776t-vs55. https://resolver.caltech.edu/CaltechETD:etd-12052003-095049

Purohit, Prashant Kishore (2002) Dynamics of Phase Transitions in Strings, Beams and Atomic Chains. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/DP97-XH80. https://resolver.caltech.edu/CaltechETD:etd-11072006-100058

Tokman, Mayya (2001) Magnetohydrodynamic modeling of solar magnetic arcades using exponential propagation methods. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PDCS-GX15. https://resolver.caltech.edu/CaltechETD:etd-02062006-154529

Yu, Chengxiang Rena (2001) Three-Dimensional Cohesive Modeling of Impact Damage of Composites. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/nd8e-tc84. https://resolver.caltech.edu/CaltechTHESIS:10112010-130530819

Park, Peter J. (2000) Multiscale numerical methods for the singularly perturbed convection-diffusion equation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4C7T-3440. https://resolver.caltech.edu/CaltechETD:etd-02272006-094856

Qu, Wendong (2000) Studies on Nonlinear Dispersive Water Waves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/19B4-2N21. https://resolver.caltech.edu/CaltechETD:etd-08152006-140314

Zhu, Xiaoyun (2000) Hard vs. soft bounds in probablilistic robustness analysis and generalized source coding and optimal web layout design. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1f3r-va82. https://resolver.caltech.edu/CaltechETD:etd-05042006-131410

Efendiev, Yalchin R. (1999) The Multiscale Finite Element Method (MsFEM) and Its Applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2QJN-2S06. https://resolver.caltech.edu/CaltechETD:etd-11102005-090314

Kao, John (1998) Two-Dimensional Steady Bow Waves in Water of Finite Depth. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/tp0w-sd61. https://resolver.caltech.edu/CaltechETD:etd-01222008-091958

Lin, Duo-min (1996) Run-Up and Nonlinear Propagation of Oceanic Internal Waves and Their Interactions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rgkn-4g56. https://resolver.caltech.edu/CaltechETD:etd-12192007-084353

Zhang, Jin E. (1996) I. Run-Up of Ocean Waves on Beaches II. Nonlinear Waves in a Fluid-Filled Elastic Tube. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/TGA4-F552. https://resolver.caltech.edu/CaltechETD:etd-01072008-105605

Lu, Wei-Min (1995) Control of Uncertain Systems: State-Space Characterizations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/dnxg-nz58. https://resolver.caltech.edu/CaltechETD:etd-03022006-131646

Zhong, Xiaoguang Allan (1995) Continuum dynamics of solid-solid phase transitions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PW4M-9B73. https://resolver.caltech.edu/CaltechETD:etd-10222007-135103