Browse by Advisor

C

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

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

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

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

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

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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

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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

H

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

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

Hu, Gang (2001) Singularity formation in three-dimensional vortex sheets. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5mw5-d871. https://resolver.caltech.edu/CaltechTHESIS:02232011-105921767

Haroldsen, David John (1997) The numerical calculation of three-dimensional water waves using a boundary integral method. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/etyh-8140. https://resolver.caltech.edu/CaltechETD:etd-01102008-153911

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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

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

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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

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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

Si, Hui (2000) Numerical study of interfacial flow with surface tension in two and three dimensions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8n4d-y915. https://resolver.caltech.edu/CaltechTHESIS:10052010-131226155

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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

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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

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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

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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

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