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Articles 181 - 210 of 551
Full-Text Articles in Mathematics
Optimal Control Approach To Image Registration, Stephen Taiwo Salako
Optimal Control Approach To Image Registration, Stephen Taiwo Salako
Mathematics Dissertations - Archive
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 first part of this dissertation, we will present a variational method of orthogonal grid generation which is based on the deformation method and solving Euler-Lagrange equations. Although the concept of grid generation has been studied extensively, the generation of orthogonal grids is still one of the most challenging problems of the grid generation methods.An orthogonal grid should offer significant advantages in the solution of systems of partial …
Analysis And Simulation In Neuron And Fibrosis Models, Humberto D. Perez Gonzalez
Analysis And Simulation In Neuron And Fibrosis Models, Humberto D. Perez Gonzalez
Mathematics Dissertations - Archive
In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body reactions.For the square bursters we study its synchronization process as the strength ofcoupling increases. The two cells present chaotic bursting behaviorwhen there is no coupling. As the strength increases and past a certain value,the behavior of two cells, which are uncoupled, becomes synchronized regular burstingmotions. For the elliptic bursting phenomenon we study the distribution of the noise and its effects in the dynamics and the reliability of …
Testing The Equality Of Regression Coefficients And A Pooling Methodology From Multiple Samples When The Data Is Multicollinear, Fransell Riley
Testing The Equality Of Regression Coefficients And A Pooling Methodology From Multiple Samples When The Data Is Multicollinear, Fransell Riley
Mathematics Dissertations - Archive
Testing the equality of regression coefficients between two regression equations is a common practice in statistics today. The theory and methods are sufficiently developed under ordinary least squares (OLS) estimation. However, there is no method for conducting such tests when OLS estimation is not an appropriate method. For example, when multicollinearity exists in the data.Therefore, there is a need for a method to test the equality of regression coefficients when the data is multicollinear. In this research, we will present methods for conducting such a test using ridge regression coefficient estimators and principal component estimators. We will also present a …
A Globally Convergent Numerical Method For Coefficient Inverse Problems, Natee Pantong
A Globally Convergent Numerical Method For Coefficient Inverse Problems, Natee Pantong
Mathematics Dissertations - Archive
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 algorithm of reconstruction of optical absorption coefficients from near infrared light data with a continuous-wave has been purposed to solves a coefficient inverse problem for an elliptic equation with the data generated by the source running along a straight line. A regularization process, so-called "exterior forward problem", for preprocessing data with noise on the boundary has also been purpose for the problem related to matching fluid in experiment. A …
Adaptive Nonparametric Distribution-Free Procedures In Factorial Data Analysis, Richard Nzagong Ferim
Adaptive Nonparametric Distribution-Free Procedures In Factorial Data Analysis, Richard Nzagong Ferim
Mathematics Dissertations - Archive
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 of statisticians. If wrongly assumed, the assumption of normality can lead in serious flaws in the analysis of data. It therefore becomes important to consider distribution-free procedures that don't have to rely on the normality assumption. This is where the adaptive procedures come into play. When data is skewed or light tailed, these adaptive methods produce better results than the regular Wilcoxon and parametric methods. …
High Order Weighted Compact Boundary Condition, Zhengjie Wang
High Order Weighted Compact Boundary Condition, Zhengjie Wang
Mathematics Theses - Archive
In multi-dimension 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 Scheme for the interior nodes, by choosing candidate stencils around the boundary nodes and assigning weights to each of these stencils with the ENO reconstruction. This would avoid spurious oscillations when shocks are encountered at the boundaries. This thesis investigates higher order weighted compact boundary conditions for Weighted Compact Scheme (WCS). WCS is a combination of Essentially Non Oscillatory Scheme and Weighted Compact …
The Impact Of Vaccination And Multiple Types Of Hpv On Cervical Cancer, Britnee A. Crawford
The Impact Of Vaccination And Multiple Types Of Hpv On Cervical Cancer, Britnee A. Crawford
Mathematics Theses - Archive
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 infection and vaccination for one of the strains in order to investigate how multiple strains of HPV and vaccination may aect the number of cervical cancer cases and deaths due to infections with both types of HPV. We calculate the basic reproductive number for both strains independently as well as the basic reproductive number for the system based on R1 and R2. We also compute the …
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation, Theresa Nicole Busse
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation, Theresa Nicole Busse
Mathematics Dissertations - Archive
The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method (known as the inverse scattering transform) to solve the initial-value problem for the NLS equation. Due to mathematical and technical difficulties, this method has been available mainly in the case where the multiplicity of each bound state is one. In our research we remove that restriction and generalize the inverse scattering transform for the NLS equation to the case where the multiplicity of each bound state is arbitrarily …
Mathematical Analysis Of Allelopathy And Resource Competition Models, Ian Pablo Martines
Mathematical Analysis Of Allelopathy And Resource Competition Models, Ian Pablo Martines
Mathematics Dissertations - Archive
Mathematical population models of nutrient recycling and allelopathy are presented. The chemostat limited-resource model forms the basis for each of the models, amended with the dynamics of nutrient recycling and allelopathy. Nutrient recycling considers the explicit mortality of the population as providing additional recycled nutrient available to the remaining organisms. Also considered is allelopathy in which one population produces a poison to increase the mortality of another population. In this study we explore allelopathy in which the poison producer increases toxicity as the nutrients are limited. In addition to the chemostat model, we also consider the associated gradostat, two chemostat …
Estimating Absolute Transcript Concentration For Microarrays Using Langmuir Adsorption Theory, Min Mo
Estimating Absolute Transcript Concentration For Microarrays Using Langmuir Adsorption Theory, Min Mo
Mathematics Dissertations - Archive
This paper estimates the Langmuir parameters for probe on microarray then improves estimation of absolute transcript concentration using Langmuir adsorption model. We use the spike-in probes found on commercial microarrays, along with Langmuir adsorption model to estimate Langmuir parameters for spike-in probes, then combine with an assumed log-linear model for those Langmuir parameters in terms of the spike-in probe sequence features, to estimate the assumed-invariant model coefficients. These estimated coefficients are then used, along with the probe sequence features of the target probes, to estimate the Langmuir parameters for each target probe. Finally, these estimated Langmuir parameters are combined with …
A Study On The B Family Of Shallow Water Wave Equations, Snehanhsu Saha
A Study On The B Family Of Shallow Water Wave Equations, Snehanhsu Saha
Mathematics Dissertations - Archive
In this dissertation we study b family of shallow water wave equations which include classical Korteweg-de Vries, Camassa-Holm and Degasperis-Procesi equations. We first establish the models of the Camassa-Holm and Degasperis-Procesi equations, deriving them from the shallow waterwave argument and then compare a large class of properties relating to the two equations. Then we consider the b family equation as the parent equation and derive the above mentioned two equations as special cases of the b-family as well as the classical KdV equation.Next we establish results of local well-posedness using Kato's semigroup theory,global existence and blow up solutions under certain …
Uniform Weighted Compact / Non-Compact Schemes For Shock / Boundary Layer Interaction, Peng Xie
Uniform Weighted Compact / Non-Compact Schemes For Shock / Boundary Layer Interaction, Peng Xie
Mathematics Dissertations - Archive
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 / non-compact scheme (UWCNC) has been developed. Similar to WENO, three high order candidates, left, right, and central, are constructed by using Hermite polynomials. According to the smoothness, three weights are derived and assigned to each candidate. The weights will lead the scheme to be upwind-biased when approaching the shock or other discontinuities but quickly becomes central, compact, and of high order just off the shock. Therefore, …
On Progenitively Koszul Commutative Rings, Paul Russell Stern
On Progenitively Koszul Commutative Rings, Paul Russell Stern
Mathematics Dissertations - Archive
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) generated by A is a Koszul algebra. Local complete intersections, which yield exterior algebras (an example of a Koszul algebra) for their homology algebras, serve as a prototype. It is shown that the local complete intersections occupy only a small portion of the class of progenitively Koszul rings. The material in Chapter 1 will cover basic definitions and facts regarding free resolutions differential graded algebras, homology, …
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface, Florin Vasile Badiu
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface, Florin Vasile Badiu
Mathematics Dissertations - Archive
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 ground confirms results from literature, and explores new cases. Numerical simulations can provide results in the study of the clattering impacts of a 3D body colliding with the ground. For a simplification of the analytical calculations, a rectangular plate without thickness is studied. In this case, a comparison between the numerical method, which is a continuous contact method, and the analytical …
Qualitative Behavior Of Dynamical Vector Fields, Roger Dale Kirby
Qualitative Behavior Of Dynamical Vector Fields, Roger Dale Kirby
Mathematics Dissertations - Archive
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 defined by two distinct negative eigenvalues. Also in the deterministic class I offer a method for finding closed-form primitives for a great variety of differential forms, through a reduction process facilitated by a Lyapunov-type Energy function. Many of these forms lie in classes which heretofore have not been shown to be solvable in closed form. The last part of this work outlines the appropriate procedures for …
Les For Wing Tip Vortex Around An Airfoil, Jiangang Cai
Les For Wing Tip Vortex Around An Airfoil, Jiangang Cai
Mathematics Dissertations - Archive
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 the numerical simulation with high order accuracy and high resolution to investigate the formation and the near field evolution of a wing tip vortex at high Reynolds number. The computational domain includes a rectangular half-wing with a NACA 0012 airfoil section, a rounded wing tip and the surrounding boundaries. The wing has an aspect ratio of 0.75. The angle of attack is 10 degrees. The …
New Developments Of The Deformation Method, Jie Liu
New Developments Of The Deformation Method, Jie Liu
Mathematics Dissertations - Archive
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 is a 3D multi-block moving grid method. In this version, a Poisson equation is solved by finite difference method to get the vector field for moving grid. Special treatment applies to the common boundary of different blocks. Another new development is a numerical method for reconstructing a given differentiable transformations by solving a system of div-curl equation directly formed from each point of the graph. The determinacy and …
Geometrical Problems In Engineering Mechanics, Feraydune Kashefi, Mostafa Ghandehari
Geometrical Problems In Engineering Mechanics, Feraydune Kashefi, Mostafa Ghandehari
Mathematics Technical Papers - Archive
Four problems in two dimensional geometry are presented, which are applicable to education of the basic courses, statics. These problems represent geometrical concepts that are understandable by engineering students. For example, consider a triangle made from a uniform rod. If we draw the inscribed circle of this triangle, and concentrate the weight of each side on the point at which in circle touches the side, center of the gravity of the three concentrated masses is located at the center.
The Effect Of The Hiv/Aids Epidemic On Africa's Truck Drivers, Christopher Kribs, Melanie Lee, Christine Roman, Shari Wiley, Carlos M. Hernandez-Suarez
The Effect Of The Hiv/Aids Epidemic On Africa's Truck Drivers, Christopher Kribs, Melanie Lee, Christine Roman, Shari Wiley, Carlos M. Hernandez-Suarez
Mathematics Faculty Publications - Archive
The AIDS epidemic is having a growing impact on the transport sector of the economy of sub-Saharan Africa, where long-distance truck drivers are at an increased risk of infection due to their frequent contacts with com- mercial sex workers. The spread of AIDS in the transport industry is especially signi¯cant to the economy, as truck drivers are largely responsible for trans- porting crops and supplies needed for daily subsistence. In this paper we analyze these e®ects via two models, one employing a switch and the other a Verhulst saturation function, to describe the rate at which new drivers are recruited …
Direct Numerical Simulation For Flow Transition Over A Flat Plate, Shutian Deng
Direct Numerical Simulation For Flow Transition Over A Flat Plate, Shutian Deng
Mathematics Dissertations - Archive
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 has been carried out. The time-dependent Navier-Stokes equations are solved directly by a third-order TVD Runge-Kutta method from Shu(1998). A sixth order central compact scheme from Lele (1992) that facilitates high resolution of the flow field is used for spatial discretization together with a sixth order implicit compact filter. To avoid possible non-physical wave reflection from the boundaries, the non-reflecting boundary conditions …
On The Image Of The Totalling Functor, Kristen Ann Beck
On The Image Of The Totalling Functor, Kristen Ann Beck
Mathematics Theses - Archive
Let A denote a DG algebra and k a field. The totalling functor, from the category of chain complexes over the graded A-modules to the catagory of DG modules over A, can be extended to one between their derived categories. If this extension were onto, the derived category of the category of DG modules would be superfluous. This paper investigates the image of the extension of Tot in the fundamental case when A is the polynomial ring in d variables over k. When d is at least 2, there are semifree DG modules of rank n, where n is at …
The Least-Squares Finite Element Method For Grid Deformation And Meshfree Applications, Dionisio Laeber Fleitas
The Least-Squares Finite Element Method For Grid Deformation And Meshfree Applications, Dionisio Laeber Fleitas
Mathematics Dissertations - Archive
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 or adapted to fit the new domain. In this work, a LSFEM deformation method is developed for grid generation on fixed or moving domains. The LSFEM is a finite-elements method which seeks to minimize the PDE residual equation through the least-squares method. A new class of numerical methods currently being researched is the meshfree methods, in which the main goal is to numerically solve PDEs …
The Reflection Property In Normed Linear Planes With Applications To Generalized Conics, Edward J. O'Neill, Mostafa Ghandehari
The Reflection Property In Normed Linear Planes With Applications To Generalized Conics, Edward J. O'Neill, Mostafa Ghandehari
Mathematics Technical Papers - Archive
The ancient Greek mathematician Heron was the first to solve the problem of finding the shortest path from point A to point B on one side of the line L, subject to the condition that the path goes from A to L and then to B (figure 1). Figure 1. His solution involved going from A to point R on L and then to B such that the line segments AR and BR make equal angles with L. This is exactly the path a light ray from A to B if L were a mirror. Heron included this proposition in …
The Convergence Of Difference Boxes, Christopher Kribs, Antonio Behn, Vadim Ponomarenko
The Convergence Of Difference Boxes, Christopher Kribs, Antonio Behn, Vadim Ponomarenko
Mathematics Faculty Publications - Archive
We consider an elementary mathematical puzzle known as a "difference box" in terms of a discrete map from R⁴ to R⁴ or , canonically, from a subset of the first R² into itself. We identify the map's unique canonical fixed point and answer more generally the question of how many interactions a given "difference box" takes to reach zero. (The number is finite except for boxes corresponding to the fixed point.)
Model Parameters And Outbreak Control For Sars, Christopher Kribs, Gerardo Chowell, Carlos Castillo-Chavez, Paul W. Fenimore, Leon Arriola, James M. Hyman
Model Parameters And Outbreak Control For Sars, Christopher Kribs, Gerardo Chowell, Carlos Castillo-Chavez, Paul W. Fenimore, Leon Arriola, James M. Hyman
Mathematics Faculty Publications - Archive
Control of the 2002–2003 severe acute respiratory syndrome (SARS) outbreak was based on rapid diagnosis coupled with effective patient isolation. We used uncertainty and sensitivity analysis of the basic reproductive number R0 to assess the role that model parameters play in outbreak control. The transmission rate and isolation effectiveness have the largest fractional effect on R0. We estimated the distribution of the reproductive number R0 under perfect isolation conditions. The distribution lies in the interquartile range 0.19–1.08, with a median of 0.49. Even though the median of R0 is <1, we found that 25% of our R0 distribution lies at R0 > 1, even with perfect isolation. This implies the need to simultaneously …
Book Review: Differential Equations And Mathematical Biology, D.S. Jones, B.D. Sleeman, In: Crc Mathematical Biology And Medicine Series. Chapman & Hall (2003), Hardback, 408 Pages, $79.95, Isbn: 1584882964, Christopher Kribs
Mathematics Faculty Publications - Archive
No abstract provided.
Effects Of Education, Vaccination And Treatment On Hiv Transmission In Homosexuals With Genetic Heterogeneity, Christopher Kribs, Sara Del Valle, Arlene Morales Evangelista, Maria Cristina Velasco, Shu-Fang Hsu Schmitz
Effects Of Education, Vaccination And Treatment On Hiv Transmission In Homosexuals With Genetic Heterogeneity, Christopher Kribs, Sara Del Valle, Arlene Morales Evangelista, Maria Cristina Velasco, Shu-Fang Hsu Schmitz
Mathematics Faculty Publications - Archive
Genetic studies report the existence of a mutant allele Δ32 of CC R5 chemokine receptor gene at high allele frequencies ( 10%) in Caucasian populations. The presence of the allele is believed to provide partial or full resistance to HIV. In this study, we look at the impact of education, temporarily effective vaccines and therapies on the dynamics of HIV in homosexually active populations. In our model, it is assumed that some individuals possess one or two mutant alleles (like Δ32 of CCR5) that prevent the successful invasion or replication of HIV. Our model therefore differentiates by genetic and epidemiological …
The Least Square Values And The Shapley Value For Cooperative Tu Games, Irinel C. Dragan
The Least Square Values And The Shapley Value For Cooperative Tu Games, Irinel C. Dragan
Mathematics Technical Papers - Archive
The Least Square Values (briefly LS-values), represent a family of values for cooperative transferable utility games, introduced by L. Ruiz. F. Valenciano and J.Zarzuelo (1998). For a fixed set of players N, a set of weights [see pdf for notation], and any TU-game v , M.Keane (1968) has defined and solved a quadratic programming problem: minimize the sum of weighted squares of deviations of the excesses from their average, on the preimputation set. He has shown that this problem has a unique solution which depends on the weights and has also given the new computational formula. Further, Ruiz/Valenciano/Zarzuelo have called …
Am I Too Fat? Bulimia As An Epidemic, Christopher Kribs, Beverly Gonzalez, Emilia Huerta-Sanchez, Angela Ortiz-Nieves, Terannie Vazquez-Alvarez
Am I Too Fat? Bulimia As An Epidemic, Christopher Kribs, Beverly Gonzalez, Emilia Huerta-Sanchez, Angela Ortiz-Nieves, Terannie Vazquez-Alvarez
Mathematics Faculty Publications - Archive
For at least the past ten years, eating disorders have had a major impact in the physical and mental health of women, particularly young women. Anorexia and bulimia nervosa are closely linked eating disorders. Anorexia often precedes bulimia. However, there are about 2 million women in college that have been exclusively bulimic. In this article, we focus on the role of college-peer pressure on the dynamics of anorexia-free bulimia. The model looks at bulimia as a progressive disease and explores the impact of intervention (treatment) at two stages of disease progression. The impact of relapse (a common occurrence among bulimics) …
On The Inverse Problem For Semivalues Of Cooperative Tu Games, Irinel C. Dragan
On The Inverse Problem For Semivalues Of Cooperative Tu Games, Irinel C. Dragan
Mathematics Technical Papers - Archive
In the present paper, we define a basis of [see pdf for notation] relative to a Semivalue, we compute the potentials of the subgames of a given game, to show that the basis is a potential basis, from which we get the Semivalues of the basic vectors. In this way we discover a basis of the null space of a Semivalue and derive, as in the previous work, a solution of the inverse problem, this time for a Semivalue. As the Shapley value was considered in detail in the previous work, we give a complete description for the Banzhaf value. …