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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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

Brabston, Donald Campbell (1974) I. Numerical solutions of steady viscous flow past spheres and gas bubbles. II. Numerical solution of singular endpoint boundary value problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4719-D351. https://resolver.caltech.edu/CaltechETD:etd-08172005-081056

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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

Jimenez, Javier (1973) I. Nonlinear gas oscillations in pipes. II. Wavetrains with small dissipation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/HRSK-FC56. https://resolver.caltech.edu/CaltechTHESIS:08172011-101324443

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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

Lentini Gil, Marianela (1978) Boundary value problems over semi-infinite intervals. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/BZTP-PR15. https://resolver.caltech.edu/CaltechETD:etd-07072006-153103

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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

McLean, John Weidman (1980) I. The fingering problem in flow through porous media. II. The kinetic equation for Hamiltonian systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4BVG-0633. https://resolver.caltech.edu/CaltechETD:etd-10102006-133721

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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

Perozzi, David J. (1980) I. Seismic ray-tracing in piecewise homogenous media. II. Analysis of optimal step size selection in homotopy and continuation methods. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/djxb-gg89. https://resolver.caltech.edu/CaltechETD:etd-10102006-104831

Poore, Aubrey Bonner (1973) Stability and bifurcation phenomena in chemical reactor theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Y69M-X355. https://resolver.caltech.edu/CaltechETD:etd-07312006-091400

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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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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

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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

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

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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

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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

White, Andrew Benjamin (1974) Numerical solution of two-point boundary-value problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/R9VN-9C49. https://resolver.caltech.edu/CaltechETD:etd-01312007-163410

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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

Yuen, Henry Che-Chuen (1973) Waves on vortex filaments. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/37BW-KF96. https://resolver.caltech.edu/CaltechETD:etd-05252004-113017

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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

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