Number of items: **43**.

## 2017

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.
http://resolver.caltech.edu/CaltechTHESIS:09022016-135721172

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:0.7907/Z9V9862G.
http://resolver.caltech.edu/CaltechTHESIS:09092016-000915850

Zhang, Pengchuan
(2017)
*Compressing Positive Semidefinite Operators with Sparse/Localized Bases.*
Dissertation (Ph.D.), California Institute of Technology.
doi:10.7907/Z91N7Z5J.
http://resolver.caltech.edu/CaltechTHESIS:05312017-000636495

## 2015

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.
http://resolver.caltech.edu/CaltechTHESIS:05312015-134909133

## 2014

Tavallali, Peyman
(2014)
*Sparse time-frequency data analysis : a multi-scale approach.*
Dissertation (Ph.D.), California Institute of Technology.
doi:10.7907/Z9TT4NXD.
http://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.
http://resolver.caltech.edu/CaltechTHESIS:12042013-185815472

## 2013

Cheng, Mulin
(2013)
*Adaptive methods exploring intrinsic sparse structures of stochastic partial differential equations.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:09182012-175436855

Pahlevan, Niema Mohammed
(2013)
*A systems approach to cardiovascular health and disease with a focus on aortic wave dynamics.*
Dissertation (Ph.D.), California Institute of Technology.
doi:10.7907/Z9DR2SFM.
http://resolver.caltech.edu/CaltechTHESIS:05082013-152249157

## 2012

Hu, Xin
(2012)
*Multiscale modeling and computation of 3D incompressible turbulent flows.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:05302012-081356007

## 2011

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

Yang, Yue
(2011)
*Lagrangian and vortex-surface fields in turbulence.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:02212011-233246689

## 2010

Chu, Chia-Chieh
(2010)
*Multiscale methods for elliptic partial differential equations and related applications.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-07312009-095021

## 2009

Li, Zhiyi
(2009)
*High-order solution of elliptic partial differential equations in domains containing conical singularities.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-08042008-005339

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

Donaldson, Roger David
(2008)
*Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05212008-164705

Hoch, David
(2008)
*Nonreflecting boundary conditions
obtained from equivalent sources for
time-dependent scattering problems.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05202008-111349

Tian, Lixiu
(2008)
*Effective behavior of dielectric elastomer composites.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-08272007-145455

## 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

Dondl, Patrick Werner
(2007)
*Structure and evolution of martensitic phase boundaries.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05292007-211950

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.
http://resolver.caltech.edu/CaltechETD:etd-12082006-124547

Zhang, Lei
(2007)
*Metric based upscaling for partial differential equations with a continuum of scales.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05162007-172755

## 2006

Demanet, Laurent
(2006)
*Curvelets, wave atoms, and wave equations.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05262006-133555

Luo, Wuan
(2006)
*Wiener chaos expansion and numerical solutions of stochastic partial differential equations.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05182006-173710

Strinopoulos, Theofilos
(2006)
*Upscaling immiscible two-phase flows in an adaptive frame.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-02192006-165348

## 2005

Stredie, Valentin Gabriel
(2005)
*Mathematical modeling and simulation of aquatic and aerial animal locomotion.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05272005-004852

Westhead, Andrew
(2005)
*Upscaling for two-phase flows in porous media.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05252005-085744

Yu, Xinwei
(2005)
*Localized non-blowup conditions for 3D incompressible Euler flows and related equations.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05302005-161405

## 2004

Bobba, Kumar Manoj
(2004)
*Robust flow stability : theory, computations and experiments in near wall turbulence.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05282004-143324

Chenchiah, Isaac Vikram
(2004)
*Energy-minimizing microstructures in multiphase elastic solids.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05252004-131315

Leok, Melvin
(2004)
*Foundations of computational geometric mechanics.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-03022004-000251

## 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

Howard, Elizabeth Anne
(2003)
*A front tracking method for modelling thermal growth.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-03042003-115138

Mauch, Sean Patrick
(2003)
*Efficient algorithms for solving static Hamilton-Jacobi equations.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05202003-170423

## 2002

Purohit, Prashant Kishore
(2002)
*Dynamics of phase transitions in strings, beams and atomic chains.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-11072006-100058

## 2001

Tokman, Mayya
(2001)
*Magnetohydrodynamic modeling of solar magnetic arcades using exponential propagation methods.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-02062006-154529

## 2000

Li, Lifang
(2000)
*Adaptive receiver design and optimal resource allocation strategies for fading channels.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechTHESIS:10062010-101242368

Park, Peter J.
(2000)
*Multiscale numerical methods for the singularly perturbed convection-diffusion equation.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-02272006-094856

Qu, Wendong
(2000)
*Studies on nonlinear dispersive water waves.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-08152006-140314

Zhu, Xiaoyun
(2000)
*Hard vs. soft bounds in probablilistic robustness analysis and generalized source coding and optimal web layout design.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-05042006-131410

## 1999

Efendiev, Yalchin R.
(1999)
*The multiscale finite element method (MsFEM) and its applications.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-11102005-090314

## 1998

Kao, John
(1998)
*Two-dimensional steady bow waves in water of finite depth.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-01222008-091958

## 1996

Zhang, Jin E.
(1996)
*I. Run-up of ocean waves on beaches. II. Nonlinear waves in a fluid-filled elastic tube.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-01072008-105605

## 1995

Zhong, Xiaoguang Allan
(1995)
*Continuum dynamics of solid-solid phase transitions.*
Dissertation (Ph.D.), California Institute of Technology.
http://resolver.caltech.edu/CaltechETD:etd-10222007-135103

This list was generated on **Fri Jul 21 02:01:29 2017 PDT**.