Browsing Applied mathematics by Issue Date
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The immersed interface method: a numerical approach for partial differential equations with interfaces
(1994)This thesis describes the Immersed Interface Method (IIM) for interface problems, in which the partial differential equations have discontinuities and singularities in the coefficients and the solutions. A typical example ... 
An adaptive multilevel method for boundary layer meteorology
(1994)This thesis presents a new adaptive multilevel numerical model for incompressible flows and applies such a model for the first time to the simulation of atmospheric boundary layers capped by shallow cumulus and stratocumulus ... 
A splitting algorithm for multistage stochastic programming with application to hydropower scheduling
(1997)With water in short supply and utility deregulation imminent, the problem of longterm scheduling on a hydroelectric power system has become increasingly important.Many of the algorithms developed for this largescale ... 
Reproducing color images with custom inks
(1998)This dissertation investigates the general problem of reproducing color images on an offset printing press using custom inks in any combination and number. Many mathematical and algorithmic challenges arise when printing ... 
On the asymptotic behavior of internal layer solutions of advectiondiffusionreaction equations
(2001)We study the behavior of solutions of certain parabolic partial differential equations of the form ut = epsilon2 uxx + epsilong(u) ux + h(u) in the limit epsilon → 0+. Solutions of advectiondiffusion and reactiondiffusion ... 
Wave propagation algorithms for multicomponent compressible flows with applications to volcanic jets
(2005)Numerical algorithms are developed for compressible multicomponent flow problems in the framework of wave propagation finite volume methods based on approximate Riemann solvers. Both models for multifluid flows, which ... 
Optimizationbased analysis of rigid mechanical systems with unilateral contact and kinetic friction
(2008)A widelyaccepted technique for the analysis of rigid mechanical systems with unilateral contact and Coulomb friction is to formulate the contact forces (or impulses) as the unknowns of a linear complementarily problem ... 
Finite Volume Methods for the Multilayer Shallow Water Equations with Applications to Storm Surges
(20110711)Coastal hazards related to strong storms such as hurricanes and typhoons are one of the most frequently recurring and wide spread hazards to coastal communities. Storm surges are among the most devastating effects of these ... 
Mathematical Models for Facilitated Diffusion and the Brownian Ratchet
(20110831)In this dissertation, mathematical models for two biophysically related topics are investigated: facilitated diffusion and the Brownian ratchet. Both phenomena exhibit counterintuitive behavior: in the case of facilitated ... 
Some BoundaryValue Problems for Water Waves
(20120913)Euler's equations describe the evolution of waves on the surface of an ideal incompressible fluid. In this dissertation, I discuss some boundaryvalue problems associated with Euler's equations. My approach is motivated ... 
Exploiting Low Dimensionality in Nonlinear Optics and Other Physical Systems
(20120913)Dimensionality reduction techniques have long been used in a number of fields including nonlinear optics and fluid dynamics. Regardless of the specific technique, the underlying idea is to generate a reduced order model ... 
Vortex Dynamics of Geostrophically Adjusted Density Perturbations in TriplyPeriodic Models of Stratified Incompressible Fluids
(20120913)A model exploring contributions to lateral dispersion in the oceanic submesoscale is presented. Wellmixed patches of uid, produced by turbulent mixing events, are geostrophically adjusted to create compound vortices. ... 
Climate Response to Solar Variation: Cyclic and Secular
(20130225)The radiation emitted by the Sun varies both cyclically and secularly. We first study in this thesis the response of the Earth's temperature to the 11year solar cycle at the surface and in the troposphere. Then we study ... 
Statistical, Stochastic, and Dynamical Models of Neural Decision Making
(20130225)Models of decision making provide a direct link between behavior and neurobiology. How does the encoding and accumulation of evidence by neural circuits impact decision making performance? Through datadriven and ... 
ETGETL Portfolio Optimization
(20130225)Modern Portfolio Theory dates back to 1950s, when Markowitz proposed meanvariance portfolio optimization to construct portfolios. It provided a systematic approach to determine portfolio allocation when one is facing ... 
ModelBased Hand Posture Estimation Using Monocular Camera
(20130225)This work studies the problem of modelbased hand posture estimation via monocular camera. Generally, a modelbased posture estimation method manipulates a 3D hand model whose posture is determined by a set of parameters. ... 
Vortex Dynamics of Geostrophically Adjusted Density Perturbations in TriplyPeriodic Models of Stratified Incompressible Fluids
(20130225)A model exploring contributions to lateral dispersion in the oceanic submesoscale is presented. Wellmixed patches of fluid, produced by turbulent mixing events, are geostrophically adjusted to create compound vortices. ... 
Numerical Modeling of PoroelasticFluid Systems Using HighResolution Finite Volume Methods
(20130624)Poroelasticity theory models the mechanics of porous, uidsaturated, deformable solids. It was originally developed by Maurice Biot to model geophysical problems, such as seismic waves in oil reservoirs, but has also ... 
Numerical Modeling of PoroelasticFluid Systems Using HighResolution Finite Volume Methods
(20130725)Poroelasticity theory models the mechanics of porous, fluidsaturated, deformable solids. It was originally developed by Maurice Biot to model geophysical problems, such as seismic waves in oil reservoirs, but has also ... 
Geographic Range Shifts under Climate Warming
(20130725)Rapid climate warming has caused species across the globe to shift their geographic ranges, and ecologists are increasingly concerned about whether species are able to track climate warming. Early efforts to predict species ...