Items where Option is "Applied And Computational Mathematics"

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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

Akhmetgaliyev, Eldar (2016) Fast Numerical Methods for Mixed, Singular Helmholtz Boundary Value Problems and Laplace Eigenvalue Problems - with Applications to Antenna Design, Sloshing, Electromagnetic Scattering and Spectral Geometry. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z97P8W93. https://resolver.caltech.edu/CaltechTHESIS:08202015-162838809

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

Aivazis, Keri Ann (1999) A Spherical Vortex Model for Homogeneous Turbulence. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3acm-yj36. https://resolver.caltech.edu/CaltechETD:etd-08152006-081730

Ardalan, Kayvan (1996) Compressible vortex arrays. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/s4n5-1v32. https://resolver.caltech.edu/CaltechETD:etd-02062008-091358

Ammons, Richard Lewis Martin (1992) Mathematical control theory for liquid chromatography. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/bneq-qh86. https://resolver.caltech.edu/CaltechTHESIS:09082011-113722649

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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

Bruer, John Jacob (2017) Recovering Structured Low-rank Operators Using Nuclear Norms. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9F18WQS. https://resolver.caltech.edu/CaltechTHESIS:02082017-062956314

Becker, Stephen R. (2011) Practical Compressed Sensing: Modern Data Acquisition and Signal Processing. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/DC16-K322. https://resolver.caltech.edu/CaltechTHESIS:06022011-152525054

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

Buntine, James D. (1994) Part I: Inviscid, swirling flows and vortex breakdown. Part II: A numerical investigation of the Lundgren turbulence model. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5rah-r125. https://resolver.caltech.edu/CaltechETD:etd-10182005-082716

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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

Catanach, Thomas Anthony (2017) Computational Methods for Bayesian Inference in Complex Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9RX9948. https://resolver.caltech.edu/CaltechTHESIS:06042017-011739366

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

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

Camp, Charles David (2004) Temporal and Spatial Patterns of the Interannual Variability of Stratospheric Ozone and Dynamics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/A4EC-6M08. https://resolver.caltech.edu/CaltechETD:etd-06042004-131001

Chaubell, Mario Julián (2004) Low-Coherence Interferometric Imaging: Solution of the One-Dimensional Inverse Scattering Problem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ED7Y-Q436. https://resolver.caltech.edu/CaltechETD:etd-09092003-212358

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

Crowdy, Darren G. (1998) Exact solutions for two-dimensional Stokes flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3jys-vr33. https://resolver.caltech.edu/CaltechETD:etd-01182008-133427

Conley, Andrew (1994) New plane shear flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/T34K-J848. https://resolver.caltech.edu/CaltechETD:etd-10182005-102648

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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

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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

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

Edwards, David A. (1994) A model for nonlinear diffusion in polymers. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/45KS-DN62. https://resolver.caltech.edu/CaltechETD:etd-09092005-155000

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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

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

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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

Gawlik, Evan S. (2010) Geometric, Variational Discretization of Continuum Theories. Senior thesis (Minor), California Institute of Technology. doi:10.7907/HW8J-FQ68. https://resolver.caltech.edu/CaltechTHESIS:06252010-144116673

Goulet, David Michael (2006) Mathematical Models of the Developing C. elegans Hermaphrodite Gonad. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/D7C9-PA08. https://resolver.caltech.edu/CaltechETD:etd-05092006-160328

Greenberg, Andrei Yakovlevich (2003) Chebyshev Spectral Method for Singular Moving Boundary Problems with Application to Finance. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/J383-YX41. https://resolver.caltech.edu/CaltechETD:etd-09042002-131120

Gallagher, Donal A. (1999) Saffman-Taylor fingers in deformed Hele-Shaw cells. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/32e1-fp41. https://resolver.caltech.edu/CaltechETD:etd-02062008-103933

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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

Huang, Jinghao (2012) Discrete Differential Form Subdivision and Vector Field Generation over Volumetric Domain. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/FXF2-4447. https://resolver.caltech.edu/CaltechTHESIS:06082012-153445274

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

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

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

Hyde, Edward McKay (2003) Fast, High-Order Methods for Scattering by Inhomogeneous Media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z0V0-KM52. https://resolver.caltech.edu/CaltechETD:etd-08142002-182101

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

Hill, David J. (1998) Part I. Vortex dynamics in wake models. Part II. Wave generation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/81N1-6X49. https://resolver.caltech.edu/CaltechETD:etd-04052007-141032

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

Hayes, Catherine Kent (1990) Diffusion and stress driven flow in polymers. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1NE9-1T14. https://resolver.caltech.edu/CaltechETD:etd-02212007-132113

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Jepson, Allan Douglas (1981) I. Asymptotic boundary conditions for ordinary differential equations. II. Numerical Hopf bifurcation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/C2RJ-6F27. https://resolver.caltech.edu/CaltechETD:etd-08182005-153922

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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

Kastner, Jason Christopher (2003) Modeling a Hox Gene Network: Stochastic Simulation with Experimental Perturbation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2TWD-EK72. https://resolver.caltech.edu/CaltechETD:etd-10042002-200303

Kang, Sung Phill (1999) A study of viscous flow past axisymmetric and two-dimensional bodies. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ky36-f623. https://resolver.caltech.edu/CaltechETD:etd-02242008-093110

Kaper, Tasso J. (1992) Part I. On the structure in separatrix-swept regions of slowly-modulated Hamiltonian systems. Part II. On the quantification of mixing in chaotic Stokes' flows : the eccentric journal bearing. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MDD9-3Z11. https://resolver.caltech.edu/CaltechETD:etd-08062007-100540

Kovacic, Gregor (1990) Chaos in a model of the forced and damped sine-Gordon equation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rg86-2095. https://resolver.caltech.edu/CaltechETD:etd-05152007-075202

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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

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

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

Lyon, Mark Edward (2009) High-Order Unconditionally-Stable FC-AD PDE Solvers for General Domains. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3FFW-GK56. https://resolver.caltech.edu/CaltechETD:etd-07312008-102751

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

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

Louie, Michael (2001) Numerical study of pattern forming processes in models of rotating Rayleigh-Bénard convection. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/v9dx-9b55. https://resolver.caltech.edu/CaltechTHESIS:10132010-082113565

Lahey, Patrick M. (1999) A fixed-grid numerical method for dendritic solidification with natural convection. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/6yzn-g986. https://resolver.caltech.edu/CaltechETD:etd-11092007-083533

Love, Philip (1999) Bifurcations in Kolmogorov and Taylor-vortex flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/g2f3-s507. https://resolver.caltech.edu/CaltechETD:etd-02122008-090309

Lough, Michael F. (1995) The motion of thin-cored vortex filaments : the equations of motion and their solution for some special cases. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/gbak-q488. https://resolver.caltech.edu/CaltechETD:etd-10172007-093152

Lui, Shiu-Hong (1992) Part I: Multiple bifurcations. Part II: Parallel homotopy method for the real nonsymmetric eigenvalue problem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/b79y-vb23. https://resolver.caltech.edu/CaltechETD:etd-06152005-084230

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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

McCoy, Michael Brian (2013) A Geometric Analysis of Convex Demixing. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/156S-EZ89. https://resolver.caltech.edu/CaltechTHESIS:05202013-091317123

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

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

Meloon, Mark Robert (1998) Models of Richtmyer-Meshkov instability in continuously stratified fluids. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/S4XY-H779. https://resolver.caltech.edu/CaltechETD:etd-01242008-153024

Melman, Aharon (1992) Complexity analysis for the Newton modified barrier function method. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/yrr2-5a17. https://resolver.caltech.edu/CaltechETD:etd-08082007-143657

Mudkavi, Vidyadhar Yogeshwar (1991) Numerical studies of nonlinear axisymmetric waves on vortex filaments. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/TMK2-ME89. https://resolver.caltech.edu/CaltechETD:etd-07092007-105408

McLachlan, Robert Iain (1990) Separated viscous flows via multigrid. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8ZMX-HW74. https://resolver.caltech.edu/CaltechETD:etd-03122007-112956

Morlet, Anne Chantal (1990) Part I. Numerical experiments for the computation of invariant curves in dynamical systems. Part II. Numerical convergence results for a one-dimensional Stefan problem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/nfr6-ca66. https://resolver.caltech.edu/CaltechETD:etd-05092007-080826

Molloy, Charles T. (1985) Contributions to the kinetic theory of traffic flow with queuing. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/d1e4-5g29. https://resolver.caltech.edu/CaltechETD:etd-03262008-101545

Mueller, James R. (1982) I. The analysis of the rewetting of a vertical slab using a Wiener-Hopf technique. II. Asymptotic expansions of integrals with three coalescing saddle points. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8q9c-pe97. https://resolver.caltech.edu/CaltechETD:etd-09142006-131317

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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

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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

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

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

Pham, Thu (1991) Numerical studies of incompressible Richtmyer-Meshkov instability in a stratified fluid. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ryrb-cg53. https://resolver.caltech.edu/CaltechETD:etd-07122007-143228

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Rudnev, Mikhail K. (1998) Exponentially small splitting of separatrices and the Arnold's diffusion problem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/mxyg-3c49. https://resolver.caltech.edu/CaltechETD:etd-01252008-161610

Rathinam, Muruhan (1997) Differentially flat nonlinear control systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/k7pm-hs13. https://resolver.caltech.edu/CaltechETD:etd-01152008-082733

Regelson, Moira Ellen (1997) Protein structure/function classification using hidden Markov models. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rgd9-wz06. https://resolver.caltech.edu/CaltechETD:etd-01142008-095446

Ryan, Barry James (1993) Lie-Poisson integrators in Hamiltonian fluid mechanics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/n4ds-zz40. https://resolver.caltech.edu/CaltechETD:etd-10242005-152235

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Soliman, Yousuf Mounir (2024) Discrete Constrained Willmore Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ks49-mj38. https://resolver.caltech.edu/CaltechTHESIS:05232024-182937115

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

Soh, Yong Sheng (2019) Fitting Convex Sets to Data: Algorithms and Applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/jkmq-b430. https://resolver.caltech.edu/CaltechTHESIS:09282018-091842941

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

Stobbe, Peter (2013) Convex Analysis for Minimizing and Learning Submodular Set Functions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1A1J-SA64. https://resolver.caltech.edu/CaltechTHESIS:05312013-151014984

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

Sweatlock, Sarah Lynne (2008) Asymptotic Weight Analysis of Low-Density Parity Check (LDPC) Code Ensembles. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/86BY-MA30. https://resolver.caltech.edu/CaltechETD:etd-05202008-094714

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

Sgoureva-Philippakos, Russina (1998) Nonlinear effects in elastic Rayleigh waves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KVS7-GV71. https://resolver.caltech.edu/CaltechETD:etd-01182008-144221

Shinn-Mendoza, Rachel (1990) Shocks and instabilities in traffic. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/dw5a-sw09. https://resolver.caltech.edu/CaltechETD:etd-11132007-085544

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

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

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

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

Von Sosen, Harald (1994) Part I: Folds and bifurcations in the solutions of semi-explicit differential-algebraic equations. Part II: The recursive projection method applied to differential-algebraic equations and incompressible fluid mechanics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/JP6Q-ED69. https://resolver.caltech.edu/CaltechETD:etd-07282005-161146

van Putten, Maurice H. P. M. (1992) MHD in divergence form : a computational method for astrophysical flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/263j-a556. https://resolver.caltech.edu/CaltechETD:etd-08152007-144037

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

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

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