Browsing Dissertations & Theses by Issue Date
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Direct Numerical Simulation For Flow Transition Over A Flat Plate
(Mathematics, 20070823)In this paper, direct numerical simulation (DNS) of flow transition over a flat plate at a free stream Mach number of 0.5 and a Reynolds number of 1000 based on the free stream velocity and inflow displacement thickness ... 
The Leastsquares Finite Element Method For Grid Deformation And Meshfree Applications
(Mathematics, 20070823)Grid adaptation is often needed to improve the numerical solution of a Partial Differential Equation (PDE), due to, for example, shock waves and boundary layers. In moving boundary problems, the grid needs to be regenerated ... 
New Developments Of The Deformation Method
(Mathematics, 20070823)New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ... 
On The Image Of The Totalling Functor
(Mathematics, 20070823)Let A denote a DG algebra and k a field. The totalling functor, from the category of chain complexes over the graded Amodules to the catagory of DG modules over A, can be extended to one between their derived categories. ... 
LES For Wing Tip Vortex Around An Airfoil
(Mathematics, 20070823)The wing tip vortex is very important because of its effects on the noise generation, blade/vortex interactions on helicopter blades, propeller cavitations on ships, and other fields. The objective of this work is to use ... 
Qualitative Behavior Of Dynamical Vector Fields
(Mathematics, 20070917)Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ... 
On Progenitively Koszul Commutative Rings
(Mathematics, 20080422)This paper introduces and identifies classes of progenitively Koszul rings. A progenitively Koszul ring is a commutative ring that admits a Koszul complex A=K(R) that is formal, and such that the homology algebra H(A) ... 
Uniform Weighted Compact / Noncompact Schemes For Shock / Boundary Layer Interaction
(Mathematics, 20080808)The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a uniform weighted compact / noncompact scheme ... 
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface
(Mathematics, 20080808)Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ... 
Estimating Absolute Transcript Concentration For Microarrays Using Langmuir Adsorption Theory
(Mathematics, 20080808)This paper estimates the Langmuir parameters for probe on microarray then improves estimation of absolute transcript concentration using Langmuir adsorption model. We use the spikein probes found on commercial microarrays, ... 
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation
(Mathematics, 20080808)The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most wellknown nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method ... 
Mathematical Analysis Of Allelopathy And Resource Competition Models
(Mathematics, 20080808)Mathematical population models of nutrient recycling and allelopathy are presented. The chemostat limitedresource model forms the basis for each of the models, amended with the dynamics of nutrient recycling and allelopathy. ... 
The Impact Of Vaccination And Multiple Types Of HPV On Cervical Cancer
(Mathematics, 20080917)Understanding the relationship between multiple strains of human papillomavirus and cervical cancer may play a key role in vaccination strategies for the virus. In this article we formulate a model with two strains of ... 
High Order Weighted Compact Boundary Condition
(Mathematics, 20080917)In multidimension flows, we expect to have problems at the boundaries when a shock hits or reflects at the boundary wall the remedy to this would be to develop weighted boundary conditions similar to the Weighted Compact ... 
A Study On The B Family Of Shallow Water Wave Equations
(Mathematics, 20090916)In this dissertation we study b family of shallow water wave equations which include classical Kortewegde Vries, CamassaHolm and DegasperisProcesi equations. We first establish the models of the CamassaHolm and ... 
A New Method For Nonrigid Registration Of 3d Images
(Mathematics, 20090916)In this dissertation we present a novel method for the nonrigid registration of 3D images using a wellestablished mathematical framework mostly known as the deformation based grid generation method. The deformation based ... 
Multiple Linear Regression Model Of Visceral Leishmaniasis In Bihar, India
(Mathematics, 20090916)Visceral Leishmaniasis (VL) is one of the world's worst parasitic killers, second only to Malaria, claiming nearly 500,000 lives each year. The disease attacks the spleen, liver, and bone marrow, and if left untreated is ... 
Highorder Numerical Schemes For Highspeed Flows
(Mathematics, 20090916)A numerical scheme with high order of accuracy is necessary to resolve small length scales in flow transition and turbulence processes. However, numerical simulation for shockboundary layer interaction, shockacoustic ... 
A Globally Convergent Numerical Method For Coefficient Inverse Problems
(Mathematics, 20090916)In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ... 
Large Deviation Principle For Functional Limit Theorems
(Mathematics, 20090916)We study a family of stochastic additive functionals of Markov processes with locally independent increments switched by jump Markov processes in an asymptotic split phase space. Based on an averaging limit theorem, we ...