MATH Graduate Student Conference Papers
Recent Submissions

On the inverse gravimetry problem with minimal data
(Wichita State University, 20210402)The inverse problem in gravimetry is to find a domain D inside the reference domain Ω from measurements of gravitational force outside Ω. We first considered the twodimensional case where we found that about five parameters ... 
Attenuation simulations and hardware design for the nuSol Spacebased Neutrino Probe
(Wichita State University, 20210402)INTRODUCTION: The nuSol project aims to design, build, and launch a small payload which will perform several nearsolar approaches in order to demonstrate the viability of a spacebased neutrino detector and perform ... 
On inverse gravimetry problem
(Wichita State University, 20200501)The inverse problem in gravimetry is to find a domain D inside the unit disk Ω from boundary measurements of exterior gravitational force. We found that about five parameters of the unknown D can be stably determined given ... 
Advanced forecasting model on land market value based on USA real estate market
(Wichita State University, 20190426)This research presents a time series estimation and prediction methods with the use of classic and advanced forecasting tools. Our discussion about different time series models is supported by giving the experimental ... 
Monte Carlo simulations of a nearsolar orbit neutrino detector
(Wichita State University, 20190426)Neutrinos  weakly interacting subatomic particles often resultant of nuclear processes, including hydrogen fusion  are the only direct insight into the core of the Sun. Previously constructed neutrino detection ... 
An opensource implementation of the quick CSF method for rapid evaluation of contrast sensitivity
(Wichita State University, 20190426)Contrast sensitivity is an important feature of functional vision, but traditional psychometric assessment methods require an excessive number of trials to estimate a complete contrast sensitivity function across the full ... 
A comparative study of electroweak Higgs boson production at future hadron colliders
(Wichita State University, 20190426)The discovery of the Higgs boson has opened the door to the next phase of exploration in particle physics. Since the Higgs boson was found in July 2012 at CERN's Large Hadron Collider (LHC), many researches and experiments ... 
Monochromatic molecular absorption coefficients for use in calculations of stellar opacity
(Wichita State University, 20180427)In order to fully understand stellar structure, it is necessary to know the opacity, as it influences the behavior of radiative transfer within the stellar interior. Opacity plays an important role in the onset of convection ... 
Prediction of land market value based on the real estate market in USA
(Wichita State University, 20170428)The Land Market Value, defined as the total value of land and quantity data are derived from data on housing values, is an important factor in the estimation of structure costs using price indexes for housing and construction ... 
Unexpected radial limit
(Wichita State University, 20170428)Consider a bounded solution ƒ of the prescribed mean curvature equation over a bounded domain Ω ⊂ R² which has a corner at which has a corner at (0, 0) of size 2α and assume the mean curvature of the graph of ƒ is bounded. ... 
Construction industrial multivariate statistical analysis based on real estate market in USA
(Wichita State University, 20160429)This project mainly focus on how the land market value, in terms of GDP, CPI, construction cost index and unemployment rate, inflation rate, population and purchasing manage index, enables a relationship with the real ... 
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. ...