Browsing Mathematics, Statistics, and Physics by Type "Dissertation"
Now showing items 120 of 35

A capillary surface with no radial limits
(Wichita State University, 201705)We begin by discussing the circumstances of capillary surfaces in regions with a corner, both concave and convex. These circumstances led to the (since proved) ConcusFinn Conjecture, which gives the requirements for a ... 
A comparison of some numerical conformal mapping methods for simply and multiply connected domains
(Wichita State University, 201605)This dissertation compares several methods for computing conformal maps from simply and multiply connected domains bounded by circles to target domains bounded by smooth curves and curves with corners. We discuss the use ... 
A pseudo restricted maximum likelihood estimator under multivariate simple tree order restriction and an algorithm
(Wichita State University, 202107)The minimum distance projection of a given matrix $X \in R^{pxq}$ onto the order restricted cone in an appropriately defined inner product system, $\pi(XC_{pxq}),$ plays an important role in order restricted statistical ... 
Advanced forecasting model on land market value based on USA real estate market
(Wichita State University, 201912)This research presents a time series estimation and prediction methods with the use of classic and advanced forecasting tools. Our discussion about di erent time series models is supported by giving the experimental forecast ... 
Composite optimal control for interconnected singularly perturbed systems
(Wichita State University, 201705)This dissertation deals with the design of a decentralized control and estimators for large scale interconnected singularly perturbed stochastic systems for system stabilization and cost minimization. Singular perturbation ... 
Computation of plane potential flow past multielement airfoils using conformal mapping, revisited
(Wichita State University, 201805)Calculations of potential ow and pressure over multielement airfoils are studied, using conformal maps. A composition of classical KarmanTre tz maps is used to smooth out the trailing edge corners successively, from ... 
Covariance structures of Gaussian and logGaussian vector stochastic processes
(Wichita State University, 201212)Although the covariance structures of univariate Gaussian and log Gaussian stochastic processes have been extensively studied in the past few decades, the development of covariance structures for Gaussian and logGaussian ... 
Equivalence testing for mean vectors of multivariate normal populations
(Wichita State University, 201005)This dissertation examines the problem of comparing samples of multivariate normal data from two populations and concluding whether the populations are equivalent; equivalence is defined as the distance between the mean ... 
Geometry of horizontal bundles and connections
(Wichita State University, 201405)An Ehresmann connection on a fiber bundle pi: E > M is defined by prescribing a suitable horizontal subbundle H of the tangent bundle piT: TE > E. For a horizontal bundle to be suitable, it must have a property called ... 
Increasing stability for the inverse scattering source problem with many frequencies
(Wichita State University, 201807)In mathematics and physics, the inverse scattering problem is the problem of determining characteristics of an object, based on data of how it scatters incoming radiation or particles. It is the inverse problem to the ... 
Increasing stability in the inverse problem for the Schrödinger equation
(Wichita State University, 201512)The Schrödinger equation is a partial differential equation that describes how the quantum state of a physical system changes with time. It was formulated in late 1925 by the Austrian physicist Erwin Schrödinger. The study ... 
Inverse doping profile analysis for semiconductor quality control
(Wichita State University, 200912)Inverse doping pro le problems are linked to inverse conductivity problems under the assumptions of zero space charge and low injection. Unipolar inverse conductivity problems are analyzed theoretically via three uniqueness ... 
Isotropic positive definite functions on spheres generated from those in Euclidean spaces
(Wichita State University, 201905)In this thesis, author have reviewed the classical characterizations of isotropic positive definite functions on Euclidean spaces and spheres, and had applied them to develop a construction of isotropic positive de nite ... 
Numerical computation of SchwarzChristoffel transformations and slit maps for multiply connected domains
(Wichita State University, 201205)Two methods for the numerical conformal mapping of domains with m < ∞ separated circular holes to domains with m polygonal holes are presented; bounded and unbounded domains are both considered. The methods are based on ... 
Numerical methods for RiemannHilbert problems in multiply connected circle domains
(Wichita State University, 202005)RiemannHilbert problems are problems for determining functions analytic in a given domain with speci ed values on the boundary. Since the real and imaginary parts of an analytic function are related by the CauchyRiemann ... 
On convergence sets of formal power series
(Wichita State University, 201312)In this thesis we consider the convergence sets of formal power series of the form f(z, t)=sigma infinity j=0 pj(z)tj, where pj(z) are polynomials. A subset E of the complex plane C is said to be a convergence set if there ... 
On the existence of central fans of capillary surfaces
(Wichita State University, 201305)We prove that under some conditions, the central fans of capillary surfaces exist and are stable. We perturb the contact angle of a capillary surface for a bounded domain which is not necessarily symmetric, that has a ... 
On the inverse gravimetry problem with minimal data
(Wichita State University, 202107)In this dissertation we considered the inverse source problem $\Delta u = \mu,$ where lim $u (x) = 0$ as x goes to $\infty$ and $\mu$ is zero outside a bounded domain $\Omega$. The inverse problem of gravime try is ... 
Order restricted inferences about lifetimes under censoring
(Wichita State University, 200907)In survival analysis and in the analysis of the life tables an important biometric function of interest is the mean residual life function (MRLF) M whose value at age t is the average future life time given that a subject ... 
Pellet ablation in Tokamak reactors
(Wichita State University, 201507)We implemented a rotational cloud model for the simulation of pellet ablation in a Tokamak reactor. We have shown that the ablation rate in the rotational cloud model converges quickly to a steady state value independent ...