Number of items: **26**.

## 2014

Tyranowski, Tomasz Michal
(2014)
*Geometric integration applied to moving mesh methods and degenerate Lagrangians.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:12042013-185815472

## 2013

Skerritt, Paul Michael
(2013)
*Geometric quantization and foliation reduction.*
Dissertation (Ph.D.), California Institute of Technology.
http://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.
http://resolver.caltech.edu/CaltechTHESIS:05252011-164957222

Tao, Molei
(2011)
*Multiscale geometric integration of deterministic and stochastic systems.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:05262011-171044915

## 2010

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

Du Toit, Philip C.
(2010)
*Transport and separatrices in time-dependent flows.*
Dissertation (Ph.D.), California Institute of Technology.
http://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.
http://resolver.caltech.edu/CaltechTHESIS:05282010-094801935

## 2009

Pavlov, Dmitry
(2009)
*Structure-preserving discretization of incompressible fluids.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05222009-125630

Stern, Ari
(2009)
*Geometric discretization of Lagrangian mechanics and field theories.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-12312008-173851

## 2008

Grubits, Katalin A.
(2008)
*Low-dimensional representations of transitions in molecular systems.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-06062008-171210

## 2007

Bou-Rabee, Nawaf
(2007)
*Hamilton-Pontryagin integrators on Lie groups.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-06052007-153115

## 2006

Brunton, Steven L.
(2006)
*Rank-1 Saddle Transport in Three or More Degrees of Freedom Scattering Reactions.*
Senior thesis (Minor), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:07212010-224814072

Shadden, Shawn Christopher
(2006)
*A dynamical systems approach to unsteady systems.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05122006-083011

## 2005

Bhat, Harish Subrahmanya
(2005)
*Lagrangian averaging, nonlinear waves, and shock capturing.*
Dissertation (Ph.D.), California Institute of Technology.
http://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.
http://resolver.caltech.edu/CaltechETD:etd-05272005-165938

## 2004

Leok, Melvin
(2004)
*Foundations of computational geometric mechanics.*
Dissertation (Ph.D.), California Institute of Technology.
http://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.
http://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.
http://resolver.caltech.edu/CaltechETD:etd-05212004-052003

West, Matthew
(2004)
*Variational integrators.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-06072004-161416

## 2003

Fetecau, Razvan Constantin
(2003)
*Variational methods for nonsmooth mechanics.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05222003-110241

Hirani, Anil Nirmal
(2003)
*Discrete exterior calculus.*
Dissertation (Ph.D.), California Institute of Technology.
http://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.
http://resolver.caltech.edu/CaltechETD:etd-04082003-180353

## 2002

Chang, Dong Eui
(2002)
*Controlled Lagrangian and Hamiltonian systems.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:10112010-161816245

Garduño, Antonio Hernández
(2002)
*Regularization of the amended potential around a symmetric configuration.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-12122003-115521

Vela-Arevalo, Luz Vianey
(2002)
*Time-frequency analysis based on wavelets for Hamiltonian systems.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-03302004-115559

## 2000

Pekarsky, Sergey
(2000)
*Discrete reduction of mechanical systems and multisymplectic geometry of continuum mechanics.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:10062010-115304008

This list was generated on **Sat Apr 25 02:30:29 2015 PDT**.