Browse by Advisor

2014

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

2013

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

2011

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

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

2010

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

Du Toit, Philip Christopher (2010) Transport and Separatrices in Time-Dependent Flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/X0Y5-N133. https://resolver.caltech.edu/CaltechTHESIS:10072009-165901284

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

2009

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

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

2008

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

2007

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

2006

Brunton, Steven Lee (2006) Rank-1 Saddle Transport in Three or More Degrees of Freedom Scattering Reactions. Senior thesis (Minor), California Institute of Technology. doi:10.7907/2RY2-FT38. https://resolver.caltech.edu/CaltechTHESIS:07212010-224814072

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

2005

Bhat, Harish Subrahmanya (2005) Lagrangian Averaging, Nonlinear Waves, and Shock Regularization. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8DJ2-F672. https://resolver.caltech.edu/CaltechETD:etd-05262005-100534

Fung, Jimmy (2005) Coarse Analysis of Multiscale Systems: Diffuser Flows, Charged Particle Motion, and Connections to Averaging Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/wn0z-gn57. https://resolver.caltech.edu/CaltechETD:etd-05272005-165938

2004

Leok, Melvin (2004) Foundations of Computational Geometric Mechanics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KDV0-WR34. https://resolver.caltech.edu/CaltechETD:etd-03022004-000251

Ross, Shane David (2004) Cylindrical Manifolds and Tube Dynamics in the Restricted Three-Body Problem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KHYT-A428. https://resolver.caltech.edu/CaltechETD:etd-05182004-154045

Vasylkevych, Sergiy (2004) Poisson Structures for PDEs Associated with Diffeomorphism Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/472S-D335. https://resolver.caltech.edu/CaltechETD:etd-05212004-052003

West, Matthew (2004) Variational Integrators. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/CMZ1-RQ16. https://resolver.caltech.edu/CaltechETD:etd-06072004-161416

2003

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

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

Lekien, Francois Paul (2003) Time-Dependent Dynamical Systems and Geophysical Flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/A83E-VZ73. https://resolver.caltech.edu/CaltechETD:etd-04082003-180353

2002

Chang, Dong Eui (2002) Controlled Lagrangian and Hamiltonian Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3DRR-ZV53. https://resolver.caltech.edu/CaltechTHESIS:10112010-161816245

2000

Pekarsky, Sergey (2000) Discrete reduction of mechanical systems and multisymplectic geometry of continuum mechanics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1y6f-7w97. https://resolver.caltech.edu/CaltechTHESIS:10062010-115304008