MATH Graduate Student Conference Papers
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Horizontal bundles and connections
(Wichita State University. Graduate School, 20140425)A manifold is a mathematical space that locally resembles standard Euclidean space. In order to study the geometry of such a space, it is necessary to prescribe a connection on the manifold. A connection describes how ... 
Pellet ablation in tokamak reactors
(Wichita State University. Graduate School., 20120418)Injecting frozen hydrogen pellets has been proposed as a method of efficiently refueling Tokamak fusion reactors. The intense heat of the reactor causes the pellet to lose mass in a process called ablation. This process ... 
Stability estimates and explicit formulas for the inverse problem of determining the boundary condition from discrete data
(Wichita State University. Graduate School, 20110504) 
Inverse doping profile analysis for semiconductor quality control
(Wichita State University. Graduate School, 20100423)Inverse doping profile 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 ... 
Testing homogeneity of a parameter matrix with some rows constrained by synchronized order restrictions
(Wichita State University. Graduate School, 20100423)A multivariate linear regression model Y~N (βM',Σ) is considered where some of the rows in the coefficient matrix β are constrained by synchronized order restrictions. A test scheme is derived for the homogeneity of the ... 
Translating vortex pairs with prescribed profiles
(Wichita State University. Graduate School, 20100423)We generate translating vortex pairs with smooth or more arbitrary profiles that reflect modern vortex pairs being generated using prescribed domains of vorticity. Instead of prescribing the domain, we fix the area of the ... 
A Fornberglike method for the numerical conformal mapping of bounded multiply connected domains
(Wichita State University. Graduate School, 20100423)A new Fornberglike method is presented for computing conformal maps from the interior of the unit disk with m>1 circular holes to the interior of a smooth closed curve with m holes bounded by smooth curves. The method is ... 
Multivariate isotonic regression and its algorithms
(Wichita State University. Graduate School, 20090501)We use regression functions, which are the means of random variables, to interpret statistical inference. Often an order is imposed on the values of the regression function. Thus, we refer to the regression as an order ... 
Extending the piecewise exponential estimator of the survival function
(Wichita State University. Graduate School., 20080425)We propose a new way of extending the piecewise exponential estimator (PEXE) beyond the last observation, where the original PEXE and the KaplanMeier estimator (KME) of the true survival function (SF) are undefined. ... 
Uniqueness of inverse source problems for some semilinear elliptic equations
(Wichita State University. Graduate School., 20070427)Uniqueness of positive f is established in the inverse source problem − Δu + c(x,u) = f (x) under conditions on the known coefficient c. This inverse problem is significant in the areas of semiconductor manufacturing, and ... 
Combinatorial input recognition algorithm Internet applications to HTTP web servers
(Wichita State University. Graduate School., 20070427)We introduce an algorithm for the classical recognition problem of identifying elements s within a class of strings S = {s1, s2, ..., sn}. Here it is assumed that struct s = { char *a; int z; }; and that for two strings ... 
Increased stability of solutions to the Helmholtz equation
(Wichita State University. Graduate School., 20060428) 
The size of the divergence points for rational maps
(Wichita State University. Graduate School., 20050422)