Browse by Committee Member

A

Anderson, Thomas Geoffrey (2021) Hybrid Frequency-Time Analysis and Numerical Methods for Time-Dependent Wave Propagation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/hmv1-r869. https://resolver.caltech.edu/CaltechTHESIS:09042020-172204130

Ahn, Hyoung Jun (2014) Random Propagation in Complex Systems: Nonlinear Matrix Recursions and Epidemic Spread. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MC7M-EE22. https://resolver.caltech.edu/CaltechTHESIS:05232014-172754261

Amlani, Faisal (2014) A New High-Order Fourier Continuation-Based Elasticity Solver for Complex Three-Dimensional Geometries. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/V9DQ-P103. https://resolver.caltech.edu/CaltechTHESIS:10082013-093825165

B

Burov, Dmitry Anatolyevich (2024) Kernel Methods for Learning About Complex Dynamical Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/zmmv-1a93. https://resolver.caltech.edu/CaltechTHESIS:06082024-115947714

Bauinger, Christoph (2023) The "Interpolated Factored Green Function" Method. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1cnc-s558. https://resolver.caltech.edu/CaltechTHESIS:07072022-003500251

Budninskiy, Maxim A. (2019) Geometry-Driven Model Reduction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0RCX-0369. https://resolver.caltech.edu/CaltechTHESIS:12102018-011614041

Betea, Dan Dumitru (2012) Elliptic Combinatorics and Markov Processes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MMZG-5G61. https://resolver.caltech.edu/CaltechTHESIS:05312012-201348939

Beni, Catherine Elizabeth (2011) Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8PBA-RN43. https://resolver.caltech.edu/CaltechTHESIS:05272011-085600111

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

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

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

Chern, Albert Ren-Haur (2017) Fluid Dynamics with Incompressible Schrödinger Flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z98050N3. https://resolver.caltech.edu/CaltechTHESIS:06052017-102338732

Cubillos-Moraga, Max Anton (2015) General-Domain Compressible Navier-Stokes Solvers Exhibiting Quasi-Unconditional Stability and High Order Accuracy in Space and Time. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9WW7FKW. https://resolver.caltech.edu/CaltechTHESIS:05082015-184801592

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

D

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

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

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

E

Elling, Timothy James (2013) GPU-Accelerated Fourier-Continuation Solvers and Physically Exact Computational Boundary Conditions for Wave Scattering Problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/A5ZM-NK18. https://resolver.caltech.edu/CaltechTHESIS:07092012-144406693

F

Fernandez-Lado, Agustin Gabriel (2020) Wave-Scattering by Periodic Media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/G7XQ-RT85. https://resolver.caltech.edu/CaltechTHESIS:08252019-170117522

Ferrari de Goes, Fernando (2014) Geometric Discretization through Primal-Dual Meshes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/32CA-7376. https://resolver.caltech.edu/CaltechTHESIS:05222014-134831171

G

Garza Gonzalez, Emmanuel (2020) Boundary Integral Equation Methods for Simulation and Design of Photonic Devices. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/XXPX-9H78. https://resolver.caltech.edu/CaltechTHESIS:01092020-141256074

Gittens, Alex A. (2013) Topics in Randomized Numerical Linear Algebra. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3K1S-R458. https://resolver.caltech.edu/CaltechTHESIS:06102013-100609092

Grubits, Katalin Anna (2008) Low-Dimensional Representations of Transitions in Molecular Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/YMTC-WQ16. https://resolver.caltech.edu/CaltechETD:etd-06062008-171210

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

Han, Shuo (2014) Optimal Uncertainty Quantification via Convex Optimization and Relaxation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/X00K-T615. https://resolver.caltech.edu/CaltechTHESIS:10162013-111333269

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

Habbal, Feras (2009) The Optimal Transportation Meshfree Method for General Fluid Flows and Strongly Coupled Fluid-Structure Interaction Problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MHQX-3Z52. https://resolver.caltech.edu/CaltechETD:etd-06012009-104937

Helgason, Hannes (2008) Nonparametric Detection and Estimation of Highly Oscillatory Signals. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/SAEK-MV13. https://resolver.caltech.edu/CaltechETD:etd-05112008-152328

J

Jacobs, Henry Ochi (2012) Geometric Descriptions of Couplings in Fluids and Circuits. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/AZXE-PH33. https://resolver.caltech.edu/CaltechTHESIS:04302012-142612208

K

Kovachki, Nikola Borislavov (2022) Machine Learning and Scientific Computing. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8nc5-cc67. https://resolver.caltech.edu/CaltechTHESIS:05252022-180406320

Kharevych, Liliya (2010) Geometric Interpretation of Physical Systems for Improved Elasticity Simulations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8ZF3-XN72. https://resolver.caltech.edu/CaltechTHESIS:11172009-224005473

L

Leibovici, Daniel Victor (2024) General Domain FC-Based Shock Dynamics Solver. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/bd5r-4q30. https://resolver.caltech.edu/CaltechTHESIS:03152024-221312028

Levine, Matthew Emanuel (2023) Machine Learning and Data Assimilation for Blending Incomplete Models and Noisy Data. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/b82h-ye78. https://resolver.caltech.edu/CaltechTHESIS:06012023-213052258

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

Lintner, Stéphane Karl (2012) High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/VP8P-DP74. https://resolver.caltech.edu/CaltechTHESIS:06072012-004925615

Lucas, Leonard Joseph (2009) Uncertainty Quantification Using Concentration-of-Measure Inequalities. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/DRAM-H941. https://resolver.caltech.edu/CaltechETD:etd-05292009-165215

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

M

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

Monro, John Anderson (2008) A Super-Algebraically Convergent, Windowing-Based Approach to the Evaluation of Scattering from Periodic Rough Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/F9VM-JP39. https://resolver.caltech.edu/CaltechETD:etd-01032008-222910

N

Nelsen, Nicholas Hao (2024) Statistical Foundations of Operator Learning. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0246-7574. https://resolver.caltech.edu/CaltechTHESIS:05142024-215222393

O

Othmer, Jonathan Andrew (2009) Algorithms for Mapping Nucleic Acid Free Energy Landscapes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/VJX1-6376. https://resolver.caltech.edu/CaltechETD:etd-12312008-153810

P

Pérez Arancibia, Carlos Andrés (2017) Windowed Integral Equation Methods for Problems of Scattering by Defects and Obstacles in Layered Media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9GQ6VQT. https://resolver.caltech.edu/CaltechTHESIS:08182016-124629380

Plan, Yaniv (2011) Compressed Sensing, Sparse Approximation, and Low-Rank Matrix Estimation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K8W9-RS71. https://resolver.caltech.edu/CaltechTHESIS:02272011-233144146

R

Randall, Paige Alicia (2009) Sparse Recovery via Convex Optimization. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3Z65-A925. https://resolver.caltech.edu/CaltechETD:etd-05292009-152544

S

Schäfer, Florian Tobias (2021) Inference, Computation, and Games. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/esyv-2181. https://resolver.caltech.edu/CaltechTHESIS:06082021-005706263

Sanan, Patrick David (2014) Geometric Elasticity for Graphics, Simulation, and Computation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/DF7X-F354. https://resolver.caltech.edu/CaltechTHESIS:12052013-121547860

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

Shadden, Shawn Christopher (2006) A Dynamical Systems Approach to Unsteady Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/BG86-YB12. https://resolver.caltech.edu/CaltechETD:etd-05122006-083011

T

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

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

V

Vyetrenko, Svitlana S. (2011) Network Coding for Error Correction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/D2ZM-V541. https://resolver.caltech.edu/CaltechTHESIS:06032011-153909265

W

Wang, Ke (2008) A Subdivision Approach to the Construction of Smooth Differential Forms. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K0DE-9P44. https://resolver.caltech.edu/CaltechETD:etd-02282008-112022

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

Y

Yoo, Gene Ryan (2021) Learning Patterns with Kernels and Learning Kernels from Patterns. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/c5fn-ac81. https://resolver.caltech.edu/CaltechTHESIS:09062020-172055989

Z

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

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