Browse by Committee Member

A

Amelang, Jeffrey Scott (2016) A Fully-Nonlocal Energy-based Formulation and High-performance Realization of the Quasicontinuum Method. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9SB43PH. https://resolver.caltech.edu/CaltechTHESIS:09152015-212147583

B

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

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

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

Crane, Keenan Michael (2013) Conformal Geometry Processing. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8V9Z-N286. https://resolver.caltech.edu/CaltechTHESIS:06052013-020706629

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

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

Friedel, Ilja Heinrich (2005) Approximation of Surfaces by Normal Meshes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/FVSZ-GF75. https://resolver.caltech.edu/CaltechETD:etd-05242005-164959

G

Gavriliu, Marcel (2005) Towards More Efficient Interval Analysis: Corner Forms and a Remainder Interval Newton Method. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/C196-9R88. https://resolver.caltech.edu/CaltechETD:etd-06022005-174844

Grinspun, Eitan (2003) The Basis Refinement Method. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/QH6Z-0276. https://resolver.caltech.edu/CaltechETD:etd-05312003-133558

H

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

Hirani, Anil Nirmal (2003) Discrete Exterior Calculus. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ZHY8-V329. https://resolver.caltech.edu/CaltechETD:etd-05202003-095403

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

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

Litke, Nathan Jacob (2005) Variational Methods in Surface Parameterization. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/EW4Q-0727. https://resolver.caltech.edu/CaltechETD:etd-05312005-224704

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

Mullen, Patrick Gary (2012) Eulerian Geometric Discretizations of Manifolds and Dynamics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5GSC-W341. https://resolver.caltech.edu/CaltechTHESIS:09092011-162631888

Moore, Ashley (2011) Discrete Mechanics and Optimal Control for Space Trajectory Design. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ZXTG-V056. https://resolver.caltech.edu/CaltechTHESIS:05252011-164957222

Meyer, Mark (2004) Discrete Differential Operators for Computer Graphics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/M3NP-4G18. https://resolver.caltech.edu/CaltechETD:etd-05282004-085345

P

Pekarek, David N. (2010) Variational Methods for Control and Design of Bipedal Robot Models. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KATX-3233. https://resolver.caltech.edu/CaltechTHESIS:05282010-094801935

Pavlov, Dmitry (2009) Structure-Preserving Discretization of Incompressible Fluids. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KCQK-QF78. https://resolver.caltech.edu/CaltechETD:etd-05222009-125630

R

Rufat, Dzhelil Sabahatin (2017) Spectral Exterior Calculus and its Implementation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9VX0DKV. https://resolver.caltech.edu/CaltechTHESIS:05302017-094600781

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

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

Skerritt, Paul Michael (2013) Geometric Quantization and Foliation Reduction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Q72T-Y013. https://resolver.caltech.edu/CaltechTHESIS:06172013-011507797

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

T

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

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

Wood, Zoë Justine (2003) Computational Topology Algorithms for Discrete 2-Manifolds. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/BQT9-SS34. https://resolver.caltech.edu/CaltechETD:etd-05302003-161403

Y

Yeung, Melissa L. (2017) Applied Computational Topology for Point Clouds and Sparse Timeseries Data. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9D798DF. https://resolver.caltech.edu/CaltechTHESIS:10262016-165619613