Browsing by Department "Mathematics and Statistics"
Now showing items 161-180 of 283
Mixed Groups with Decomposition Bases and Global k-Groups
(2006-08-15)
This thesis is devoted to proving assertions made without proof by Paul Hill and Charles Megibben in their fundamental papers regarding knice subgroups and the Axiom 3 characterization of global Warfield groups. The main ...
Model Order Reduction
(2014-11-24)
Model Order Reduction (MOR) is a wide area, and it has many techniques. In this thesis, we focus on Krylov subspaces method and Proper Orthogonal Decomposition (POD).We show some details about these two methods. A MATLAB ...
Modular Balanced Graphs
(2012-07-02)
Necessary and sufficient conditions for the existence of modular balanced graphs and modular balanced bipartite graphs.
Monotonic Covering Properties
(2014-07-29)
Monotonic versions of classical topological properties have been of some interest for several years. That adding monotonic to a covering property makes it stronger is well-known, but exactly how much stronger is still, ...
Morita-Equivalence Between Strongly Non-Singular Rings and the Structure of the Maximal Ring of Quotients
(2017-07-22)
This dissertation focuses on extending certain notions from Abelian group theory and module theory over integral domains to modules over non-commutative rings. In particular, we investigate generalizations of torsion-freeness ...
New Classes of Multivariate Gamma Survival and Reliability Models
(2006-08-15)
Multivariate modeling and analysis based on the multivariate normal distribution is well established and widely used. However, when the marginal distributions have only a positive support, such as time-to-event models, ...
A New Solution to the Intersection Problem of Mendelsohn Triple Systems
(2012-03-29)
The thesis provides an alternate solution to the intersection problem, in which the goal is to determine the set of all values for which there exists a pair of Mendelsohn Triple Systems having this exact value of cyclic ...
New Statistical Learning for Next-Generation Functional Data and Spatial Data
(2022-03-18)
Advancements of modern technology have enabled the collection of sophisticated, high-dimensional data sets, such as 3D images, high dimensional data and other objects living in a functional space. As such, boosting the ...
A Newton - Galerkin Finite Element Method to solve reduced dimensional Variable Density Flow and Solute Transport Equations using Proper Orthogonal Decomposition method
(2020-07-20)
The mathematical model of Variable Density Flow and Solute Transport (VDFST) is a
time dependent, coupled and nonlinear dynamical system that is widely used to simulate seawater
intrusion and related problems. The numerical ...
Nim on Graphs
(2012-08-02)
Winning strategies for the Game of Nim on Graphs are discussed. Graphs considered are distinguished from those previously studied in that they may have loops. Winning strategies are found for graphs that have loops and ...
Non-metric Continua that support Whitney maps
(2007-05-15)
An example of a non-metric continuum is constructed, where every non-degenerate subcontinuum is non-metric, that supports a Whitney
map. Additional non-metric examples are given and examinations of conditions under which ...
Nonlocal Dispersal Equations and Convergence to Random Dispersal Equations
(2014-05-15)
This dissertation is devoted to the study of the dynamics of nonlocal and random dispersal evolution equations.
Dispersal evolution equations are widely used to model the diffusions of organisms or individuals in many ...
Nonlocal Dispersal Equations with Almost Periodic Dependence
(2022-07-28)
Nonlocal dispersal equations are used to model the population dynamics of species that exhibit long-range dispersal mechanisms. This model of spatial spread is obtained by replacing the Laplacian in the usual reaction-diffusion ...
Nonparametric Analysis of Temperature and Carbon Source Effects on vfr Gene Expression and Regulation
(2016-04-27)
Since temperatures and carbon sources are potential conditions that affect gene expression and regulation, experiments of vfr expression and regulation in the organism Pseudomonas aeruginosa were designed and performed to ...
Nonparametric Methods for Classification and Related Feature Selection Procedures
(2011-07-18)
One important application of gene expression microarray data is
classification of samples into categories, such as types of tumor.
Gene selection procedures become crucial since gene expression
data from DNA microarrays ...
Nonparametric Rank Based Inferences for Generalized Linear Models, Longitudinal Data Analysis, and Variable Selection
(2013-07-10)
Many relevant data sets from environmental sciences,biomedical sciences, finance, insurance, engineering, and many other disciplines have high-dimensionality, difficult to model dependence structure, outliers, and heavy ...
A novel finite element discretization of domains with spheroidal geometry
(2007-05-15)
We describe and analyze a new finite element discretizations for domains with spheroidal
geometry. In particular, we describe how the method can be used to approximate solutions
as well as eigenvalues and eigenfunctions ...
Number Fields
(2017-04-13)
This paper focuses on number fields and the number rings associated with a particular number field. This topic falls under the study of algebra, and in particular algebraic number theory. The motivation of this paper is ...
The Numerical Approximation of Blow-Up Times for Fractional Reaction-Diffusion Equations
(2022-07-28)
We investigate the numerical estimation of blow-up phenomena of the space fractional reaction-diffusion equation \[ \partial_t u +(-\Delta)^{\alpha/2}u=f(u), \quad x \in \Omega, t>0 \] with non-negative initial and Dirichlet ...
Numerical Modeling of Electromagnetic Wave Scattering by Layered Random Surfaces
(2020-12-01)
We present an efficient numerical method for modeling the scattering of electromagnetic fields by a multiply layered medium with random interfaces. We propose a combination of the Monte Carlo-Transformed Field Expansion ...