STANFORD UNIVERSITY

INSTITUTE FOR COMPUTATIONAL AND MATHEMATICAL ENGINEERING

Ph.D. Advisors

Aeronautics and Astronautics
Name Year Student Thesis Title
Claire Tomlin 2002 Ian Mitchell Application of level set methods to control and reachability problems in continuous and hybrid systems

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Chemical Engineering
Name Year Student Thesis Title
Eric Shaqfeh 2003 Jung Woo DNA chain dynamics and its applications to micro devices and scission

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Computer Science
Name Year Student Thesis Title
Ron Fedkiw 2005 Joseph Teran Novel finite element algorithms with applications to skeletal muscle simulation
  2005 Igor Neverov Physics based modeling of the human face
  2004 Neil Molino Mesh generation and fracture for deformable bodies
  2003 Robert Bridson Computational aspects of dynamic surfaces
  2002 Douglas Enright Use of the particle level set method for enhanced resolution of free surface flows
Gene Golub 2007 Kourosh Modarresi A Local Regularization Method Using Multiple Regularization Levels
  2007 Lek-Heng Lim Foundations of Numerical Multilinear Algebra: Decompositions and Approximations of Tensors
  2007 Sou-Cheng Choi Iterative Methods for Singular Linear Equations and Least-Squares Problems
  2003 James Lambers Krylov subspace methods for variable-coefficient initial-boundary value problems
  2003 Yong Sun The filter algorithm for solving large-scale eigenproblems from accelerator simulations
  2002 Paul Tupper Topics in the numerical analysis of ordinary differential equations: Molecular dynamics and chemical kinetics
  2000 Nhat Nguyen Numerical algorithms for image superresolution
  1999 Tony Zhang Methods for computational and statistical estimation with applications
  1997 Xiaowei Zhan Parallel electromagnetic field solvers using finite element methods with adaptive refinement and their application to wakefield computation of axisymmetric accelerator structure
  1995 Oliver Ernst Fast numerical solution of exterior Helmholtz problems with radiation boundary condition by imbedding
  1993 Hongyuan Zha The singular value decompositions: Theory, algorithms and applications
Leo Guibas 2006 An Nguyen Implicit bounding volumes and bounding volume hierarchies
  2001 Menelaos Karavelas Proximity structures for moving objects in constrained and unconstrained environments
Joseph Oliger 2002 Hersir Sigurgeirsson Particle-field models: Algorithms and applications
  1997 Margot Gerritsen Designing an efficient solution strategy for fluid flows
  1995 Patrick Witting Numerical investigation of stratus cloud layer breakup by cloud top instabilities
  1995 Xiaolei Zhu Composite adaptive grid methods for partial differential equations
Carlo Tomasi 2000 John Zhang Computing camera heading: A study

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Electrical Engineering
Name Year Student Thesis Title
Robert Dutton 2001 Gaofeng Wang Coupled electromagnetic and device level investigations of metal-insulator-semiconductor interconnects
  1997 Ze-Kai Hsiau Boundary movement in semiconductor etching and deposition simulation
  1994 Dan Yang Mesh generation and information model for device simulation
Arogyaswami Paulraj 1998 Michaela Vanderveen Estimation of parametric channel models in wireless communication networks
  1996 Shilpa Talwar Blind space-time algorithms for wireless communication systems

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Energy Resources Engineering
Name Year Student Thesis Title
Margot Gerritsen 2007 Melissa Aczon Stability and Error Estimation using Entropy Functions
  2004 Bradley Mallison Streamline-based simulation of two-phase, multicomponent flow in porous media
Hamdi Tchelepi 2007 Felix Kwok Scalable Linear and Nonlinear Algorithms for Multiphase Flow in Porous Media

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Freeman Spogli Institute for International Studies
Name Year Student Thesis Title
Sebastian Doniach 2003 Joel Franklin Topics in macro-molecular dynamics integration

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Graduate School of Business
Name Year Student Thesis Title
Sunil Kumar 2007 Joy Rajiv Computing Bounds via Duality for Singular Stochastic Control Problems
  2003 Kumar Muthuraman Computational schemes for stochastic singular control problems, with applications in portfolio optimization
Lawrence Wein 2007 Manas Baveja Biometric Analysis of the US-VISIT Program
  2006 Yifan Liu Mathematical Models in Homeland Security
Stefanos Zenios 2006 Pan-Chi Lee Essays on Computational Models for Managing the Delivery of Dialysis Therapy

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Management Science and Engineering
Name Year Student Thesis Title
Walter Murray 2003 Maureen Doyle A barrier algorithm for large nonlinear optimization problems
  2000 Aparna Gupta Optimum asset allocation with behavioral utilities: A plan for acquiring and consuming retirement funds
  1999 Erik Boman Infeasibility and negative curvature in optimization
  1998 William Behrman An efficient gradient flow method for unconstrained optimization
Michael Saunders 2007 Sou-Cheng Choi Iterative Methods for Singular Linear Equations and Least-Squares Problems
  2005 Zheng Su Computational methods for least squares problems and clinical trials

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Mathematics
Name Year Student Thesis Title
Gunnar Carlsson 2007 Gurjeet Singh Algorithms for Computational Topology and Their Applications
  2007 Lek-Heng Lim Foundations of Numerical Multilinear Algebra: Decompositions and Approximations of Tensors
Joseph Keller 1995 Eldar Giladi Hybrid numerical asymptotic methods
  1995 Marcus Grote Nonreflecting boundary conditions
  1995 Carl Taswell Algorithms for wavelet transforms and adaptive wavelet packet decompositions
Doron Levy 2004 Stephen Bryson High-order central schemes for balance laws and Hamilton-Jacobi equations
Tai-Ping Liu 2005 Volker Elling A Lax-Wendroff type theorem for unstructured grids
George Papanicolaou 2000 Roger Lee Implied and local volatilities under stochastic volatility
  1997 Ronnie Sircar Feedback effects and stochastic volatility in derivative pricing
  1997 Knut Solna Stable spreading of acoustic pulses due to laminated microstructure
  1996 Liliana Borcea Direct and inverse problems for transport in high contrast media

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Mechanical Engineering
Name Year Student Thesis Title
Andrew Stuart 1997 Martin Gander Analysis of parallel algorithms for time-dependent partial differential equations
  1997 Tony Shardlow Topics in dissipative evolution equations
  1996 Hamid Samandari On a class of pattern formation equations
  1996 Jeremy Smith Analysis of moving mesh methods for dissipative partial differential equations

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Statistics
Name Year Student Thesis Title
David Donoho 2007 Yaakov Tsaig Fast Solution of L1 Minimization Problems
  2006 Inam Rahman Multi-Scale Decomposition of Manifold-Valued Data
  2004 Ofer Levi Multiscale geometric analysis of three-dimensional data
  1997 Pok-Yin Yu New developments in interpolating wavelet transforms
Tze-Leung Lai 2005 Zheng Su Computational methods for least squares problems and clinical trials
Robert Tibshirani 2005 Xiaolong Yu Regression methods for microarray data

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