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Graduates
of ACM have gone on to various careers in academia and industry,
including Robert
Merton, a 1967 graduate of the department, who won
the 1998 Nobel Prize in Economics.
2008
John A. Monro, Jr.
A Super-Algebraically Convergent, Windowing-Based Approach to the Evaluation of Scattering from Periodic Rough Surfaces
Advisor: O. Bruno
Lixiu Tian
Effective Behavior of Dielectric Elastomer Composites
Advisor: K. Bhattacharya
Ke Wang
A Subdivision Approach to the Construction
of Smooth Differential Forms
Advisor: P. Schröder
2007
Bou-Rabee, Nawaf
Hamilton-Pontryagin Integrators on Lie Groups
Advisor: J. Marsden
Patrick Dondl
Structure and Evolution of Martensitic Phase Boundaries
Advisor: K. Bhattacharya
Marco
Latini
Simulations and Analysis of Two- and Three-Dimensional Single-Mode
Richtmyer-Meshkov Instability using Weighted Essentially Non-Oscillatory
and Vortex Methods
Advisor: D.I. Meiron
Lei Zhang
Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales
Advisor: H. Owhadi
2006
Laurent Demanet
Curvelets, Wave Atoms, and Wave Equations
Advisor: E. Candes
David Goulet
Mathematical Models of the Developing C.elegans Hermaphrodite Gonad
Advisor: D.S. Cohen
Wuan Luo
Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations
Advisor: T.Y. Hou
Theofilos
Strinopoulos
Upscaling Immiscible Two-Phase Flows in an Adaptive Frame
Advisor: T.Y. Hou
2005
Valentin (Gaby) Stredie
Mathematical Modeling and Simulation of
Aquatic and Aerial Animal Locomotion
Advisor: T.Y. Hou Andrew Westhead
Upscaling for 2-Phase Flows in Porous Media
Advisor: T.Y. Hou Xinwei Yu
Localized Non-blowup Conditions for
3D Incompressible Euler Flows and Related Equations
Advisor: T.Y. Hou
2004
Charles
D. Camp
Temporal and Spatial Patterns of the Interannual Variability
of Stratospheric Ozone and Dynamcs
Advisor: Y.
Yung
Mario
Julián Chaubell
Low-Coherence Interferometric Imaging: Solution of the One-Dimensional
Inverse Scattering Problem
Advisor: O.
Bruno
2003
Razvan C. Fetecau
Variational Methods for Nonsmooth Mechanics
Advisor: J. E. Marsden
Andrei Yakovlevich Greenberg
Chebyshev Spectral Method for Singular Moving Boundary
Problems with Application to Finance
Advisor: O. P.
Bruno
Elizabeth Anne Howard (previously Wedeman)
A Front Tracking Method for Modelling Thermal Growth
Advisor: D. I.
Meiron
E. McKay Hyde
Fast, High-Order Methods for Scattering by Inhomogeneous
Media
Advisor: O. P.
Bruno
Jason
Christopher Kastner
Modeling a Hox Gene Network Stochastic Simulation
with Experimental Perturbation
Advisors: J. Solomon and S. Fraser
Sean Patrick Mauch
Efficient Algorithms for Solving Static Hamilton-Jacobi
Equations
Advisor: D. I.
Meiron
2002
Bogdan
Craciun
Phase Boundary Propagation in
Heterogeneous Media
Advisor: K.
Bhattacharya
Danny Petrasek
Diffusion-Mediated Regulation Endocrine Networks
Advisor: D. S.
Cohen
2001
Gang
Hu
Singularity Formation in Three-Dimensional Vortex Sheets
Advisor:
T. Y. Hou
Michael
Louie
Numerical Study of Pattern Forming Processes in Models of
Rotating Rayleigh-Bénard Convection
Advisor: M. Cross
Mayya
Tokman
Magnetohydrodynamic Modeling of Solar Magnetic Arcades Using
Exponential Propagation Methods
Advisor: D. I. Meiron
top
2000
Peter
J. Park
Multiscale Numerical Methods for the Singularly Perturbed
Convection-Diffusion Equation
Advisor: T. Y. Hou
Hui
(Helen) Si
Numerical Study of Interfacial Flow with Surface Tension
in Two and Three Dimensions
Advisor: T. Y. Hou
top
1999
Keri
Aivazis
A Spherical Vortex Model for Homogeneous Turbulence
Advisor: D. I. Pullin
Yalchin
Efendiev
The Multiscale Finite Element Method (MsFEM) and Its Applications
Advisor: T. Y. Hou
Donal
A. Gallagher
Saffman-Taylor Fingers in Deformed Hele-Shaw Cells
Advisor: P. G. Saffman
James
P. Gleeson
Random Advection of a Passive Scalar
Advisor:
P. G. Saffman
Sung
Phil Kang
A Study of Viscous Flow Past Axisymmetric and Two-Dimensional
Bodies
Advisor: D. I. Meiron
Patrick
M. Lahey
A Fixed-Grid Numerical Method for Dendritic Solidification
with Natural Convection
Advisor: D. I. Meiron
Philip
Love
Bifurcations in Kolmogorov and Taylor-Vortex Flows
Advisor:
H. B. Keller
top
1998
Darren
Crowdy
Exact Solutions for Two-Dimensional Stokes Flow
Advisor: P. G. Saffman
David
J. Hill
Part I: Vortex Dynamics in Wake Models
Part II: Wave Generation
Advisor: P. G. Saffman
Mark
Meloon
Models of Richtmyer-Meshkov Instability in Continuously
Stratified Fluids
Advisor: D. I. Meiron
Mikhail
K. Rudnev
Exponentially Small Splitting of Separatrices and the Arnold's
Diffusion Problem
Advisor: S. Wiggins
Russina
Sgoureva-Philippakos
Nonlinear Effects in Elastic Rayleigh Waves
Advisor: G. B. Whitham
top
1997
Anatoly
I. Baumstein
Nonlinear Water Waves with Shear
Advisor: P. G. Saffman
David
J. Haroldsen
The Numerical Calculation of Three-Dimensional Water Waves
using a Boundary Integral Method
Advisor: D. I. Meiron
Muruhan
Rathinam
Differentially Flat Nonlinear Control Systems
Advisor: R. Murray
Moira
E. Regelson
Protein Structure/Function Classification Using Hidden Markov
Models
Advisor: J. Solomon
top
1996
Kayvan
Ardalan
Complex Vortex Arrays
Advisor: D. I. Meiron
top
1995
Michael
Lough
The Motion of Thin-Cored Vortex Filaments: The Equations
of Motion and their Solution for Some Special Cases
Advisor: P. G. Saffman
Thomas
P. Witelski
Problems in Nonlinear Diffusion
Advisor: D. S. Cohen
top
1994
James D. Buntine
I. Inviscid, swirling flows and vortex breakdown
II. A numerical investigation of the Lundgren turbulence
model
Advisor: P. G. Saffman
Andrew
J. Conley
New plane shear flows
Advisor: H. B. Keller
David
A. Edwards
A Model for Nonlinear Diffusion in Polymers
Advisor: D. S. Cohen
Harald
von Sosen
I. Folds and Bifurcations in the Solutions of Semi-Explicit
Differential-Algebraic Equations
II. The Recursive Projection Method Applied to Differential-Algebraic
Equations and Incompressible Fluid Mechanics
Advisor: H. B. Keller
1993
Barry
Ryan
Lie-Poisson Integrators in Hamiltonian Fluid Mechanics
Advisor: P. G. Saffman
1992
Richard
L. M. Ammons
Mathematical Control Theory for Liquid Chromatography
Advisor: J. Lorenz
Tasso
Kaper
I. On the Structure in Separatrix-Swept Regions of Slowly-Modulated
Hamiltonian Systems
II. On the Quantification of Mixing in Chaotic Stokes' Flows:The
Eccentric Journal Bearing
Advisor: S. Wiggins
Shiu-Hong
Lui
I. Multiple Bifurcations
II. Parallel Homotopy Method for the Real Nonsymmetric Eigenvalue
Problem
Advisor: H. B. Keller
Aaron
Melman
Complexity Analysis for the Newton Modified Barrier Function
Method
Advisor: H. B. Keller
Maurice
Van Putten
MHD in Divergence Form: A Computational Method for Astrophysical
Flow
Advisor: S. Phinney (Astro/Phys)
1991
Dana
Hobson
Point Vortex Models for Modon Dynamics
Advisor: P. G. Saffman
Vidyadhar
Y. Mudkavi
Numerical Studies of Nonlinear Axisymmetric Waves on Vortex
Filaments
Advisor: D. I. Meiron
Thu
Pham
Numerical Studies of Incompressible Richtmyer-Meshkov Instability
in a Stratified Fluid
Advisor: D. I. Meiron
1990
Catherine
Kent Hayes
Diffusion and Stress Driven Flow in Polymers
Advisor: D. S. Cohen
Gregor
Kovacic
Chaos in a Model of the Forced and Damped Sine-Gordon Equation
Advisor: S. Wiggins
Robert
McLachlan
Separated Viscous Flows via Multigrid
Advisor: H. B. Keller
Anne
Morlet
I. Numerical Experiments for the Computation of Invariant
Curves in Dynamical Systems
II. Numerical Convergence Results for a One-Dimensional Stefan
Problem
Advisor: J. Lorenz
Rachel
Shinn-Mendoza
Shocks and Instabilities in Traffic
Advisor: G. B. Whitham
1989
Vered
Rom-Kedar
I. Analytical Study of Transport, Mixing and Chaos in an Unstead
Vortical Flow
II. Transport in Two-Dimensional Maps
Advisor: S. Wiggins
James
M. Rotenberry
Effect of Compliant Boundaries on Weakly Nonlinear Shear Waves
in Channel Flow
Advisor: P. G. Saffman
Israel
Soibelman
A Study of Finite Amplitude Bifurcations in Plane Poiseuille
Flow
Advisor: D. I. Meiron
1988
Robert
William Cox
A Model for Stress-Driven Diffusion in Polymers
Advisor: D. S. Cohen
Michael
J. Ward
Asymptotic Methods in Semiconductor Device Modeling
Advisor: D. S. Cohen
1987
Mary
Elizabeth Brewster
Asymptotic Analysis of Thin Plates Under Normal Load and Horizontal
Edge Thrust
Advisor: H. B. Keller
James
Russell Kamm
Shape and Stability of Two-Dimensional Uniform Vorticity Regions
Advisor: P. G. Saffman
Michael
Jeremy Landman
New Solutions of an Amplitude Equation Describing Transition
in a Laminar Shear Flow
Advisor: P. G. Saffman
Juan
Antonio Zufiria
I. Symmetry Breaking of Water Waves
II. On the Superharmonic Instability of Surface Water Waves
Advisor: P. G. Saffman
1986
Geoffrey
Samuel Chesshire
Composite Grid Construction and Applications
Advisor: H.-O. Kreiss
David
I. Feinstein
Relating Thermodynamics to Information Theory: The Equality
of Free Energy and Mutual Information
Advisor: C. Mead
Tomas
Paul Girnius
Ray Tracing in Complex Three-Dimensional Earth Models
Advisor: H. B. Keller
Michael
J. Naughton
On Numerical Boundary Conditions for the Navier-Stokes Equations
Advisor: H.-O. Kreiss
David
Kenneth Rollins
Diffusion with Varying Drag; The Runaway Problem
Advisor: N. Corngold
Donald
William Schwendeman
Numerical Shock Propagation Using Geometrical Shock Dynamics
Advisor: G. B. Whitham
1985
Jeffrey
Michael Fier
I. Fold Continuation and the Flow Between Rotating Coaxial
Disks
II. Equilibrium Chaos
III. A Mesh Selection Algorithm for Two-Point Boundary Value Problems
Advisor: H. B. Keller
Michael
E. Henderson
Complex Bifurcation
Advisor: H. B. Keller
Wiliam
Douglas Henshaw
I. The Numerical Solution of Hyperbolic Systems of Conservation
Laws
II. Composite Overlapping Grid Techniques
Advisor: H.-O. Kreiss
Charles
Molloy
Contributions to the Kinetic Theory of Traffic Flow With Queuing
Advisor: G. B. Whitham
Elizabeth
Ann Stanley
Diffusion in Glassy Polymers
Advisor: D. S. Cohen
1984
Douglas
A. Reinelt
The Penetration of a Finger Into a Viscous Fluid
Advisor: P. G. Saffman
Allen
C. Robinson
Existence and Stability of Vortices and Vortex Arrays
Advisor: P. G. Saffman
Jeffrey
A. Simmen
Steady Deep-Water Waves on a Linear Shear Current
Advisor: P. G. Saffman
Noel
F. Smyth
I. Solution on a Beach and Related Problems
II. Modulated Capillary Waves
Advisor: G. B. Whitham
Saleh
A. Tanveer
Topics in 2-D Separated Vortex Flows
Advisor: P. G. Saffman
1983
John
A. Fawcett
I. Three Dimensional Ray-Tracing and Ray Inversion in Layered
Media
II. Inverse Scattering and Curved Ray Tomography With Applications
to Seismology
Advisor: H. B. Keller
Thomas
M. Hagstrom
Reduction of Unbounded Domains to Bounded Domains for Partial
Differential Equation Problems.
Advisor: H. B. Keller
Michael
D. Prendergast
Linear Programming Methods for the Numerical Solution of Parabolic
Equations Backwards in Time
Advisor: J. Franklin
Luis
Guillermo M. Reyna
I. Stability of Tchebyshev Collocation
II. Interpolation for Surfaces With 1-D Discontinuities
III. On Composite Meshes
Advisor: H.-O. Kreiss
Daniel
I. Zwillinger
Long Distance Energy Correlations in Random Media
Advisor: B. S. White
1982
John
Wilson Barker
I. Interactions of Fast and Slow Waves in Problems With Two
Time Scales
II. A Numerical Experiment on the Structure of Two-Dimensional
Turbulent Flow
Advisor: H.-O. Kreiss
David
Leslie Brown
Solution Adaptive Mesh Procedures for the Numerical Solution
of Singular Perturbation Problems
Advisor: H.-O. Kreiss
James
R. Mueller
I. The Analysis of the Rewetting of a Vertical Slab Using
a Weiner-Hopf Technique
II. Asymptotic Expansions of Integrals with Three Coalescing Saddle
Points
Advisor: D. S. Cohen
Louis
Anthony Romero
I. Similarity Solutions of the Equations of Three Phase Flow
Through Porous Media
II. The Fingering Problem in a Hele-Shaw Cell
Advisor: P. G. Saffman
Robert
E. Scheid
The Accurate Numerical Solution of Highly Oscillatory Ordinary
Differential Equations
Advisor: H.-O. Kreiss
1981
Alan
D. Jepson
I. Asymptotic Boundary Conditions for Ordinary Differential
Equations
II. Numerical Hopf Bifurcation
Advisor: H. B. Keller
William
L. Kath
I. Propagating and Waiting Fronts in Nonlinear Diffusion
II. Sustained Reentry Roll Resonance
Advisor: D. S. Cohen
Fai
Ma
Stability Theory of Linear and Nonlinear Stochastic Difference
Systems
Advisor: T. Caughey
David
U. Martin
Studies of the Nonlinear Schrodinger Equations and its Application
to Water Waves
Advisor: P. G. Saffman
James
C. Schatzman
A Model for the Von Karman Vortex Street
Advisor: P. G. Saffman
1980
Evangelos
A. Coutsias
Some Effects of Spatial Nonuniformities in Chemically Reacting
Mixtures
Advisor: D. S. Cohen
John
W. McLean
I. The Fingering Problems in Flow Through Porous Media
II. The Kinetic Equation for Hamiltonian Systems
Advisor: P. G. Saffman
David
J. Perozzi
I. Seismic Ray-Tracing in Piecewise Homogeneous Media
II. Analysis of Optimal Step-Size Selection in Homotopy and Continuation
Advisor: H. B. Keller
1979
Benito
M. C. Charpentier
Steady Capilliary-Gravity Waves on Deep Water
Advisor: P. G. Saffman
Athanassios
S. Fokas
Invariants, Lie-Backlund Operators and Backlund Transformations
Advisor: P. A. Lagerstrom
Patrick
Shawn Hagan
The Stability of Traveling Wave Solutions of Parabolic Equations
Advisor: D. S. Cohen
Henry
C. Simpson
Periodic Solutions of Integro-Differential Equations Which
Arise in Population Dynamics
Advisor: D. S. Cohen
1978
Edward
J. Bissett
Bifurcation in a Reaction Diffusion System
Advisor: D. S. Cohen
Dwight
W. Decker
Topics in Bifurcation Theory
Advisor: H. B. Keller
Marianela
Lentini-Gil
Boundary Value Problems Over Semi-Infinite Intervals
Advisor: H. B. Keller
John
C. Neu
Nonlinear Oscillations in Discrete and Continuous Systems
Advisor: D. S. Cohen
John
Steven Sheffield
Topics in Vortex Motion
Advisor: P. G. Saffman
Roque
Kwok-Hung Szeto
The Flow Between Rotating Coaxial Disks
Advisor: H. B. Keller
Randall
Gary Williams
The Stochastic Exit for Dynamical Systems
Advisor: B. White
1977
Gregory
R. Baker
Studies in Vortex Motion
Advisor: P. G. Saffman
Elliot
Fischer
Exact Solutions and Transformation Properties of Nonlinear
Partial Differential Equations from General Relativity
Advisor: F. Estabrook
Rodolfo
Ruben Rosales
I. Exact Solution of Some Nonlinear Evolution Equations
II. The Similarity Solutions for the Korteweg-de Vries Equation
and the Related Painleve Transcendent
Advisor: G. B. Whitham
1976
Donald
W. Miklovic
Topics in Linear and Nonlinear Dispersive Waves
Advisor: G. B. Whitham
Antonmaria
Alessio Minzoni
Topics in Linear and Nonlinear Dispersive Waves
Advisor: G. B. Whitham
1975
Warren
Ferguson
A Singularly Perturbed Linear Two-Point Boundary-Value Problem
Advisor: H. B. Keller
Michael
Alan Kosecoff
Some Problems in Nonlinear Elasticity
Advisor: H. B. Keller
Thomas
Stevens
Numerical Methods for Ill-Posed, Linear Problems
Advisor: J. N. Franklin
1974
Donald
Campbell Brabston
I. Numerical Solutions of Steady Viscous Flow
II. Numerical Solution of Singular Endpoint Boundary Value Problems
Advisor: H. B. Keller
James
A. Boa
A Model Biochemical Reaction
Advisor: D. S. Cohen
Paul
K. Mazaika
On the Settling Speed of Dilute Arrays of Spheres
Advisor: P. G. Saffman
Andrew
B. White, Jr.
Numerical Solutions of Two-Point Boundary-Value Problems
Advisor: H. B. Keller
1973
Kirby
William Fong
Numerical Solution of Parabolic Equations by the Box Scheme
Advisor: H. B. Keller
Javier
Jimenez
I. Nonlinear Gas Oscillations in Pipes
II. Wavetrains with Small Dissipation
Advisor: G. B. Whitham
Aubrey
B. Poore, Jr.
Stability and Bifurcation Phenomena in Chemical Reactor Theory
Advisor: D. S. Cohen
Robert
Donald Small
Nonlinear Dispersive Waves in Nonlinear Optics
Advisor: G. B. Whitham
Henry
Che-Chuen Yuen
Waves on Vortex Filaments
Advisor: P. G. Saffman
1972
James
P. Keener
Some Modified Bifurcation Problems with Application to Imperfection
Sensitivity in Buckling
Advisor: H. B. Keller
John
R. Myers
New Variational Principles for Systems of Partial Differential
Equations
Advisor: G. B. Whitham
XX
Newhall
Two New Integral Transforms and Their Applications
Advisor: D. S. Cohen
Anantanarayanan
Thyagaraja
Compressible Flows at Small Reynolds Numbers
Advisor: P. A. Lagerstrom
1971
Michael
E. Delaney
Singular Perturbation Problems Involving Singular Points and
Turning Points
Advisor: G. B. Whitham
James
A. Ellison
Existence, Uniqueness, and Stability of Solutions of a Class
of Nonlinear Partial Differential Equations
Advisor: T. Caughey
William
W. Everett
On the Determination of the Properties of a Medium from its
Reflection Coefficient
Advisor: J. Knowles
William
F. Langford
Bifurcation Theory of Nonlinear Boundary Value Problems
Advisor: H. B. Keller
1970
Richard
Guy Casten
Methods for Deriving Conservation Laws
Advisor: P. A. Lagerstrom
Seymour
E. Goodman
The Hydro-Kinetic Theory of Liquid Helium II
Advisor: P. G. Saffman
Warren
J. Wiscombe
Nonlinear Dispersive Waves with a Small Dissipation
Advisor: G. B. Whitham
1968
Joseph
W. Blum
Propagation in an Inhomogeneous Medium
Advisor: D. S. Cohen
Guy
de Balbine
Computational Analysis of the Random Component Induced by
a Binary Equivalence Relation
Advisor: J. N. Franklin
Howard
Arthur Kabakow
A Perturbation Procedure for Nonlinear Oscillations. Dynamics
of Two Oscillators with Weak Nonlinear Couplings.
Advisor: J. D. Cole
Theodore
Wills Laetsch
Eigenvalue Problems for Positive Monotonic Nonlinear Operators
Advisor: D. S. Cohen
Thomas
William MacDowell
Boundary Value Problems for Stochastic Differential Equations
Advisor: T. Caughey
Michael
Philip Mortell
Some Approximate Solutions of Dynamic Problems in the Linear
Theory of Thin Elastic Shells
Advisor: J. Knowles
Robert
Jay Schmulian
Nearly Free Molecular Heat Transfer from a Sphere
Advisor: J. D. Cole
Tyan
Yeh
I. Nonexistence of Looping Trajectories in Hydromagnetic Waves
of Finite Amplitude
II. Breaking of Waves in a Cold Collision-Free Plasma in a Magnetic
Field
III. On Stabilities of Periodic Waves in a Cold Collision-Free
Plasma in a Magnetic Field
Advisor: P. G. Saffman
1967
George
Wallace Bluman
Construction of Solutions to Partial Differential Equations
by the Use of Transformation Groups
Advisor: J. D. Cole
Harold
James Payne
The Response of Nonlinear Systems to Stochastic Excitation
Advisor: T. Caughey
Robert
L. Seliger
I. On the Breaking of Nonlinear Dispersive Waves
II. Variational Principles in Continuum Mechanics
Advisor: G. B. Whitham
1966
Jon
Christian Luke
Nonlinear Dispersive Wave Problems
Advisor: G. B. Whitham
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