Applied Mathematics

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2004

• Smith, W. Bryan — Local Control of Synaptic Strength: Neurotrophic and Dopaminergic Modulation of Dendritic Protein Synthesis (Dissertation (Ph.D.))

1999

• Gleeson, James P. — Random advection of a passive scalar (Dissertation (Ph.D.))

1997

• Baumstein, Anatoly I. — Nonlinear water waves with shear (Dissertation (Ph.D.))

1995

• Witelski, Thomas P. — Problems in nonlinear diffusion (Dissertation (Ph.D.))

1991

• Hobson, Dana Daniel — Point Vortex Models for Modon Dynamics (Dissertation (Ph.D.))

1989

• Rom-Kedar, Vered — Part I. An Analytical Study of Transport, Mixing and Chaos in an Unsteady Vortical Flow. Part II. Transport in Two Dimensional Maps (Dissertation (Ph.D.))
• Rotenberry, James Michael — Effect of Compliant Boundaries on Weakly Nonlinear Shear Waves in Channel Flow (Dissertation (Ph.D.))
• Soibelman, Israel — A Study of Finite Amplitude Bifurcations in Plane Poiseuille Flow (Dissertation (Ph.D.))

1988

• Cox, Robert William — A Model for Stress-Driven Diffusion in Polymers (Dissertation (Ph.D.))
• Ward, Michael Jeffrey — Asymptotic Methods in Semiconductor Device Modeling (Dissertation (Ph.D.))

1987

• Brewster, Mary Elizabeth — Asymptotic Analysis of Thin Plates Under Normal Load and Horizontal Edge Thrust (Dissertation (Ph.D.))
• Kamm, James Russell — Shape and Stability of Two-Dimensional Uniform Vorticity Regions (Dissertation (Ph.D.))
• Landman, Michael J. — New Solutions of an Amplitude Equation Describing Transition in a Laminar Shear Flow (Dissertation (Ph.D.))
• Zufiria, Juan Antonio — Part I: Symmetry Breaking of Water Waves. Part II: On the Superharmonic Instability of Surface Water Waves (Dissertation (Ph.D.))

1986

• Chesshire, Geoffrey Samuel — Composite Grid Construction and Applications (Dissertation (Ph.D.))
• Feinstein, David I. — Relating Thermodynamics to Information Theory: The Equality of Free Energy and Mutual Information (Dissertation (Ph.D.))
• Girnius, Tomas Paul — Ray Tracing in Complex Three-Dimensional Earth Models (Dissertation (Ph.D.))
• Naughton, Michael John — On Numerical Boundary Conditions for the Navier-Stokes Equations (Dissertation (Ph.D.))
• Rollins, David Kenneth — Diffusion with Varying Drag; the Runaway Problem (Dissertation (Ph.D.))
• Schwendeman, Donald William — Numerical Shock Propagation Using Geometrical Shock Dynamics (Dissertation (Ph.D.))

1985

• Fier, Jeffrey Michael — Part I. Fold Continuation and the Flow Between Rotating, Coaxial Disks. Part II. Equilibrium Chaos. Part III. A Mesh Selection Algorithm for Two-Point Boundary Value Problems (Dissertation (Ph.D.))
• Henderson, Michael Edwin — Complex Bifurcation (Dissertation (Ph.D.))
• Henshaw, William Douglas — Part I. The Numerical Solution of Hyperbolic Systems of Conservation Laws. Part II. Composite Overlapping Grid Techniques (Dissertation (Ph.D.))
• Molloy, Charles T. — Contributions to the Kinetic Theory of Traffic Flow with Queuing (Dissertation (Ph.D.))
• Stanley, Elizabeth Ann — Diffusion in Glassy Polymers (Dissertation (Ph.D.))

1984

• Reinelt, Douglas Alan — The Penetration of a Finger into a Viscous Fluid (Dissertation (Ph.D.))
• Robinson, Allen Conrad — Existence and Stability of Vortices and Vortex Arrays (Dissertation (Ph.D.))
• Simmen, Jeffrey Alan — Steady Deep-Water Waves on a Linear Shear Current (Dissertation (Ph.D.))
• Smyth, Noel Frederick — Part I: Soliton on a Beach and Related Problems. Part II: Modulated Capillary Waves (Dissertation (Ph.D.))
• Tanveer, Saleh Ahmed — Topics in 2-D Separated Vortex Flows (Dissertation (Ph.D.))

1983

• Fawcett, John Alan — I. Three Dimensional Ray-Tracing and Ray-Inversion in Layered Media. II. Inverse Scattering and Curved Ray Tomography with Applications to Seismology (Dissertation (Ph.D.))
• Hagstrom, Thomas Michael — Reduction of Unbounded Domains to Bounded Domains for Partial Differential Equation Problems (Dissertation (Ph.D.))
• Prendergast, Michael David — Linear Programming Methods for the Numerical Solution of Parabolic Equations Backwards in Time (Dissertation (Ph.D.))
• Reyna, Luis Guillermo Maria — I. Stability of Tchebyshev Collocation. II. Interpolation for Surfaces with 1-D Discontinuities. III. On Composite Meshes (Dissertation (Ph.D.))
• Tatoian, James Zareh — An Analytical Study of Electromagnetic Vector Field Propagation in a Nonlinear Electron Plasma (Dissertation (Ph.D.))
• Zwillinger, Daniel Ian — Long Distance Energy Correlations in Random Media (Dissertation (Ph.D.))

1982

• Barker, John Wilson — 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 (Dissertation (Ph.D.))
• Brown, David Leslie — Solution Adaptive Mesh Procedures for the Numerical Solution of Singular Perturbation Problems (Dissertation (Ph.D.))
• Mueller, James Robert — I. The Analysis of the Rewetting of a Vertical Slab Using a Wiener-Hopf Technique. II. Asymptotic Expansions of Integrals with Three Coalescing Saddle Points (Dissertation (Ph.D.))
• Romero, Louis Anthony — I. Similarity Solutions of the Equations of Three Phase Flow through Porous Media. II. The Fingering Problem in a Hele-Shaw Cell (Dissertation (Ph.D.))
• Scheid, Robert Elmer, Jr — The Accurate Numerical Solution of Highly Oscillatory Ordinary Differential Equations (Dissertation (Ph.D.))

1981

• Jepson, Allan Douglas — I. Asymptotic Boundary Conditions for Ordinary Differential Equations. II. Numerical Hopf Bifurcation (Dissertation (Ph.D.))
• Kath, William Lawrence — I. Propagating and Waiting Fronts in Nonlinear Diffusion. II. Sustained Reentry Roll Resonance (Dissertation (Ph.D.))
• Ma, Fai — Stability Theory of Linear and Nonlinear Stochastic Difference Systems (Dissertation (Ph.D.))
• Schatzman, James Carl — A Model for the von Kármán Vortex Street (Dissertation (Ph.D.))

1980

• Coutsias, Evangelos Athanassios — Some Effects of Spatial Nonuniformities in Chemically Reacting Mixtures (Dissertation (Ph.D.))
• McLean, John Weidman — I. The Fingering Problem in Flow Through Porous Media. II. The Kinetic Equation for Hamiltonian Systems (Dissertation (Ph.D.))
• Perozzi, David J. — I. Seismic Ray-Tracing in Piecewise Homogeneous Media. II. Analysis of Optimal Step Size Selection in Homotopy and Continuation Methods (Dissertation (Ph.D.))

1979

• Chen Charpentier, Benito Miguel — Steady Capillary-Gravity Waves on Deep Water (Dissertation (Ph.D.))
• Fokas, Athanassios S. — Invariants, Lie-Bäcklund Operators and Bäcklund Transformations (Dissertation (Ph.D.))
• Hagan, Patrick Shawn — The Stability of Traveling Wave Solutions of Parabolic Equations (Dissertation (Ph.D.))
• Simpson, Henry Clark — Periodic Solutions of Integro-Differential Equations Which Arise in Population Dynamics (Dissertation (Ph.D.))

1978

• Bissett, Edward J. — Bifurcation in a a Reaction Diffusion System (Dissertation (Ph.D.))
• Decker, Dwight William — Topics in Bifurcation Theory (Dissertation (Ph.D.))
• Lentini Gil, Marianela — Boundary Value Problems on Semi-Infinite Intervals. (Dissertation (Ph.D.))
• Neu, John Charles — Nonlinear Oscillations in Discrete and Continuous Systems (Dissertation (Ph.D.))
• Sheffield, John Steven — Topics in Vortex Motion (Dissertation (Ph.D.))
• Szeto, Roque Kwok-Hung — The Flow between Rotating Coaxial Disks (Dissertation (Ph.D.))
• Williams, Randall Gary — The Stochastic Exit Problem for Dynamical Systems (Dissertation (Ph.D.))

1977

• Baker, Gregory Richard — Studies in Vortex Motion (Dissertation (Ph.D.))
• Fischer, Elliot — Exact Solutions and Transformation Properties of Nonlinear Partial Differential Equations from General Relativity (Dissertation (Ph.D.))
• Rosales, Rodolfo Rubén — I. Exact Solution of Some Nonlinear Evolution Equations. II. The Similarity Solution for the Korteweg-De Vries Equation and the Related Painlevé Transcendent (Dissertation (Ph.D.))

1976

• Miklovic, Donald W. — Topics in Linear and Nonlinear Dispersive Waves (Dissertation (Ph.D.))
• Minzoni Alessio, Antonmaria — Some Problems of Edge Waves and Standing Waves on Beaches (Dissertation (Ph.D.))

1975

• Ferguson, Warren E. — A Singularly Perturbed Two-Point Boundary-Value Problem (Dissertation (Ph.D.))
• Kosecoff, Michael Alan — Some Problems in Nonlinear Elasticity (Dissertation (Ph.D.))
• Stevens, Thomas — Numerical Methods for Ill-Posed, Linear Problems (Dissertation (Ph.D.))

1974

• Boa, James Andrew — A Model Biochemical Reaction (Dissertation (Ph.D.))
• Brabston, Donald Campbell, Jr. — I. Numerical Solutions of Steady Viscous Flow Past Spheres and Gas Bubbles. II. Numerical Solution of Singular Endpoint Boundary Value Problems (Dissertation (Ph.D.))
• Mazaika, Paul Kim — On the Settling Speed of Dilute Arrays of Spheres (Dissertation (Ph.D.))
• White, Andrew Benjamin, Jr. — Numerical Solution of Two-Point Boundary Value Problems (Dissertation (Ph.D.))

1973

• Fong, Kirby William — Numerical Solution of Parabolic Equations by the Box Scheme (Dissertation (Ph.D.))
• Jiménez Sendín, Javier — I. Nonlinear Gas Oscillations in Pipes. II. Wavetrains with Small Dissipation (Dissertation (Ph.D.))
• Poore, Aubrey Bonner — Stability and Bifurcation Phenomena in Chemical Reactor Theory (Dissertation (Ph.D.))
• Small, Robert Donald — Nonlinear Dispersive Waves in Nonlinear Optics (Dissertation (Ph.D.))
• Yuen, Henry Che-Chuen — Waves on Vortex Filaments (Dissertation (Ph.D.))

1972

• Keener, James Paul — Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling (Dissertation (Ph.D.))
• Newhall, X X (Nicholas) — Two New Integral Transforms and Their Applications (Dissertation (Ph.D.))
• Thyagaraja, Anantanarayanan — Compressible Flows at Small Reynolds Numbers (Dissertation (Ph.D.))

1971

• Delaney, Michael Ernest — I. Singular Perturbation Problems Involving Singular Points and Turning Points. II. On the Averaged Lagrangian Technique for Nonlinear Dispersive Waves (Dissertation (Ph.D.))
• Ellison, James Auby — Existence, Uniqueness, and Stability of Solutions of a Class of Nonlinear Partial Differential Equations (Dissertation (Ph.D.))
• Everett, William Warren — On the Determination of the Properties of a Medium from its Reflection Coefficient (Dissertation (Ph.D.))
• Langford, William Finlay — Bifurcation Theory of Nonlinear Boundary Value Problems (Dissertation (Ph.D.))

1970

• Casten, Richard Guy — Methods for Deriving Conservation Laws (Dissertation (Ph.D.))
• Goodman, Seymour Evan — The Hydro-Kinetic Theory of Liquid Helium II (Dissertation (Ph.D.))
• Wiscombe, Warren Jackman — Non-Linear Dispersive Waves with a Small Dissipation (Dissertation (Ph.D.))

1969

• Blum, Joseph William — Wave Propagation in an Inhomogeneous Medium (Dissertation (Ph.D.))

1968

• Bluman, George Wallace — Construction of Solutions to Partial Differential Equations by the Use of Transformation Groups (Dissertation (Ph.D.))
• Laetsch, Theodore Willis — Eigenvalue Problems for Positive Monotonic Nonlinear Operators (Dissertation (Ph.D.))
• MacDowell, Thomas William — Boundary Value Problems for Stochastic Differential Equations (Dissertation (Ph.D.))
• Mortell, Michael Philip — Some Approximate Solutions of Dyn01nic Problems in the Linear Theory of Thin Elastic Shells (Dissertation (Ph.D.))
• Schmulian, Robert Jay — Nearly Free Molecular Heat Transfer from a Sphere (Dissertation (Ph.D.))
• Seliger, Robert Lewis — Part I. On the Breaking of Nonlinear Dispersive Waves. Part II. Variational Principles in Continuum Mechanics (Dissertation (Ph.D.))
• Yeh, Tyan — 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 Stability of Periodic Waves in a Cold Collision-Free Plasma in a Magnetic Field (Dissertation (Ph.D.))

1967

• Payne, Harold James — Response of Nonlinear Systems to Stochastic Excitation (Dissertation (Ph.D.))

1966

• Luke, Jon Christian — Nonlinear Dispersive Wave Problems (Dissertation (Ph.D.))