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 ... 
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, ... 
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 ... 
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 ... 
Logistic Regression With Misclassified Covariates Using Auxiliary Data
(Mathematics, 20090916)When standard regression methods are used, measurement errors cause a bias in parameters estimation. In dealing with discrete covariates, such measurement errors are known as misclassification and the corresponding discrete ... 
Nontraditional Sociomathematical Norms In Undergraduate Real Analysis
(Mathematics, 20100303)This study builds upon the framework of classroom norms (Cobb, Wood, & Yackel, 1993) and sociomathematical norms (Cobb & Yackel, 1996) to understand how nontraditional sociomathematical norms influence student reasoning ... 
On The Existence Of Totally Reflexive Modules
(Mathematics, 20110714)In this manuscript, we investigate the existence of nonfree totally reflexive modules over two classes of commutative local (Noetherian) rings.First, we demonstrate existence over a class of local rings which are defined ... 
High Order DNS For Late Flow Transition
(Mathematics, 20120725)In this report, a new high order scheme for boundary points is introduced when calculating the derivative of smooth functions by Compact Scheme. The primitive function reconstruction method of ENO schemes is applied to ... 
Solving The Optimization Control Problem For Lunar Soft Landing Using Minimization Technique
(Mathematics, 20131023)Minimizing fuel consumption in lunar missions has been a well studied and documented optimization problem. In this paper two cases of the lunar Lander are studied. The first case is the one dimensional problem where the ... 
Property D Cyclic Neofields
In 1948 L. J. Paige introduced the notion of a neofield (N,\oplus,\cdot) as a set N with two binary operations, generally referred to as addition (\oplus) and multiplication (\cdot) such that (N,\oplus) is a loop with ... 
On Solving Finitely Reflected Backward Stochastic Differential Equations
Classical theory gives a closed form representation of the density p(t,x), a solution to a linear parabolic PDE, via the FeynmanKac Formula of the underlying diffusion process. In the nonlinear PDE case there is no closed ... 
Weight Modules Of Orthosymplectic Lie Superalgebras
A longstanding problem in representation theory is the classification of all simple weight modules of the classical Lie superalgebras. This problem was reduced to the classification of simple bounded highest weight ... 
On Minverse Loops And Quasigroups Of Order N With A Long Inverse Cycle.
In 2002, A.D Keedwell and V.A Sherbacov introduced the concept of finite minverse quasigroups with long inverse cycles. Keedwell and Sherbacov observed that finite minverse loops and quasigroups with a long inverse cycle ...