Browsing PhD Dissertations - DO NOT EDIT by Issue Date
Now showing items 21-40 of 154
-
Optimal Control Approach To Image Registration
(Mathematics, 2010-03-03)The purpose of this dissertation is twofold: To present a new method of orthogonal grid generation and to investigate certain theoretical aspects of the optimal control approach to the image registration problem.In the ... -
Non-traditional Socio-mathematical Norms In Undergraduate Real Analysis
(Mathematics, 2010-03-03)This study builds upon the framework of classroom norms (Cobb, Wood, & Yackel, 1993) and socio-mathematical norms (Cobb & Yackel, 1996) to understand how non-traditional socio-mathematical norms influence student reasoning ... -
Adaptive Nonparametric Distribution-free Procedures In Factorial Data Analysis
(Mathematics, 2010-03-03)Many statisticians have questioned the basic assumptions about underlying models which might dominate the analysis of the data in many cases. The assumption of normality without much thought is of concern to a growing group ... -
Conditional Confidence Intervals Of Process Capability Indices Following Rejection Of Preliminary Tests
(Mathematics, 2010-07-19)Finding an ordinary confidence interval of an unknown parameter is well known, but finding a conditional confidence interval following rejection of a preliminary test is not so noted, especially for finding a conditional ... -
Some Problems Of Integral Geometry In Advanced Imaging
(Mathematics, 2011-07-14)During the past decade, our society has become dependent on advanced mathematics for many of our daily needs. Mathematics is at the heart of the 21st century technologies and more specifically the emerging imaging technologies ... -
High Order Compact Scheme For Discontinuous Differential Equations
(Mathematics, 2011-07-14)A high order implicit second derivative compact method is given which is similar the Adams-Moulton method, but requiring only two steps for sixth order. This method is used in both predictor-corrector and Newton's method ... -
On The Existence Of Totally Reflexive Modules
(Mathematics, 2011-07-14)In this manuscript, we investigate the existence of non-free totally reflexive modules over two classes of commutative local (Noetherian) rings.First, we demonstrate existence over a class of local rings which are defined ... -
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension
(Mathematics, 2011-10-11)M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ... -
High Order DNS For Late Flow Transition
(Mathematics, 2012-07-25)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 ... -
A Study On The Two Component Periodic Shallow Water Systems
(Mathematics, 2012-07-25)In this dissertation we study the generalized periodic two-component Camassa-Holm system and the generalized periodic two-component Dullin-Gottwald-Holm system, which can be derived from the Euler equation with nonzero ... -
New Results In Finite Geometries Pertaining To Albert-like Semifields
(Mathematics, 2012-07-25)One of the most widely studied class of semifields are the generalized twisted fields defined by Albert in the 50s and 60s. The collineation groups of generalized twisted field planes have been completely described. In a ... -
High Order LES For Supersonic Ramp Flow Control With MVG
(Mathematics, 2012-07-25)An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with and without control at Mach 2.5 and Re=5760. Flow control ... -
Effects Of Vector Migration On Sylvatic Trypanosoma Cruzi Transmission
(Mathematics, 2012-07-25)Vector-borne diseases have had a major impact on global health concerns since their discovery in the 1800's. A vector-borne disease is one transmitted to human or animal host via an invertebrate vector (usually an insect). ... -
Resolutions And Tor Algebra Structures For Trivariate Monomial Ideals
(Mathematics, 2012-07-25)In this manuscript we explore properties of minimal free resolutions and their relationship to the Tor-algebra structure for trivariate monomial ideals. We begin with an in-depth analysis of minimal free resolutions of ... -
From Discrete To Continuous Models Of Cell Movement: An Application To Medical Implants
(Mathematics, 2013-03-20)Mathematical modeling of cell movement is needed to aid in the deeper understanding of vital processes such as embryogenesis, angiogenesis, tumor metastasis, and immune reactions to foreign bodies. In this work, cell ... -
On Primitivity And Dimension Of Finite Semifields And Their Planes
(Mathematics, 2013-03-20)The study of semifields was originated by L.E. Dickson in 1905 and was greatly developed in the 1960s by Albert, Knuth, Walker, Kleinfeld among others. Two problems of interest in this area are the primitivity of semifields ... -
Applications And Adaptations Of A Globally Convergent Numerical Method In Inverse Problems
(Mathematics, 2013-07-22)In our terminology "globally convergent numerical method" means a numerical method whose convergence to a good approximation of the correct solution is independent of the initial approximation in inverse problems. A numerical ... -
Point Modules Over Regular Graded Skew Clifford Algebras
(Mathematics, 2013-07-22)In this thesis, I consider point modules over regular graded skew Clifford algebras.First, I define a notion of rank (called μ-rank) on noncommutative quadratic forms. To every (commutative) quadratic form is associated a ... -
The Generalized Two-component Hunter-Saxton System
(Mathematics, 2013-07-22)This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ... -
Smooth Quantile Processes For Right Censored Data
(Mathematics, 2013-07-22)The development of an estimator of a quantile function Q(p) is discussed. The smooth nonparametric estimator Qn(p) of a quantile function Q(p) is defined as the solution to Fn(Qn(p)) = p, where Fn is a smooth Kaplan-Meier ...