• A comparison of some numerical conformal mapping methods for simply and multiply connected domains 

  Badreddine, Mohamed (Wichita State University, 2016-05)

  This dissertation compares several methods for computing conformal maps from sim-ply and multiply connected domains bounded by circles to target domains bounded by smooth curves and curves with corners. We discuss the use ...

• Isotonic regression through the Merge and Chop Algorithm for application in statistical inference 

  Skala, Jacob Thomas (Wichita State University, 2016-05)

  In this paper, the theory for the application of the Merge and Chop Algorithm are defined and proven. The algorithm is used to find isotonic regressions in more situations than comparable methods. A program is included ...

• Computation of Stokes waves using conformal mapping 

  Mears, Justin Laurence (Wichita State University, 2016-05)

  In this paper we study the time dependent water wave problem for Stokes waves on water of infinite and finite depth using numerical conformal mapping techniques. We begin by briefly reviewing Fornberg's numerical conformal ...

• Increasing stability in the inverse problem for the Schrödinger equation 

  Liang, Li (Wichita State University, 2015-12)

  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 ...

• Pellet ablation in Tokamak reactors 

  Rinker, Patrick (Wichita State University, 2015-07)

  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 ...

• A multiple decision procedure for testing with ordered alternatives 

  Echart, Alexandra K. (Wichita State University, 2015-07)

  In testing hypotheses with ordered alternatives, the conclusion of an order restriction when rejecting the null hypothesis is very sensitive to the correctness of the assumed model. In other words, when the null hypothesis ...

• Modules for the investigation of the central fan question through numerical computation 

  Nguyen, Francis Le (Wichita State University, 2015-05)

  In this thesis, we continue the research of investigating the central fan question through numerical computation of minimal surfaces and the author develops a new conformal map in hopes of producing a more accurate and ...

• Applications of the h-Cobordism Theorem 

  Burkemper, Matthew Bryan (Wichita State University, 2014-05)

  We provide an exposition of J. Milnor's proof of the h-Cobordism Theorem. This theorem states that a smooth, compact, simply connected n-dimensional manifold W with n greater than or equal to 6, whose boundary boundaryW ...

• Geometry of horizontal bundles and connections 

  Ryan, Justin M. (Wichita State University, 2014-05)

  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 ...

• Examples of discontinuity for the variational solution of the minimal surface equation with Dirichlet data on a domain with a nonconvex corner and locally negative mean curvature 

  Melin, Jaron Patric (Wichita State University, 2013-12)

  The purpose of this thesis is to investigate the role of smoothness, specifically the smoothness of the boundary ∂Ω, in the behavior of the variational solution f on a domain Ω to the Dirichlet problem for the Minimal ...

• On convergence sets of formal power series 

  Al-Shutnawi, Basma (Wichita State University, 2013-12)

  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 ...

• Derivation and regularization of corrections to propagators and vertices for cubically interacting scalar field theories 

  Traverzo, Richard (Wichita State University, 2013-05)

  This thesis, a mainly expository work, attempts to give all the calculational details for some popular models in scalar quantum eld theory that serve a mostly pedagogical purpose. Starting with a real scalar eld with ...

• Stationary time series resulting from certain positive definite kernels and simulation via high-order vector autoregressive models 

  Ma, Nicholas (Wichita State University, 2013-05)

  Vector auto-regressive models have traditionally been used to model and forecast multivariate time series data, predicting future values based on previous observations. In this thesis, we introduce some multivariate time ...

• On the existence of central fans of capillary surfaces 

  Khanfer, Ammar (Wichita State University, 2013-05)

  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 ...

• Covariance structures of Gaussian and log-Gaussian vector stochastic processes 

  Metheny, Maryssa (Wichita State University, 2012-12)

  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 log-Gaussian ...

• Forty two problems of first degree from Diophantus’ Arithmetica 

  Davis, Tinka (Wichita State University, 2010-12)

  This work brings to the audience Diophantus' problems of first degree in a literal word for word English translation from Ver Eecke's French translation of Arithmetica. In addition, these problems are accompanied by ...

• Order restricted A-basis and B-basis values 

  Huelskamp, Leo (Wichita State University, 2012-05)

  In this thesis, the concept of A-basis and B-basis as it relates to the aviation industry is studied. The rst assumption that will be made in order to help with the formulation of the A-basis and B-basis values is that ...

• Numerical computation of Schwarz-Christoffel transformations and slit maps for multiply connected domains 

  Kropf, Everett (Wichita State University, 2012-05)

  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 ...

• Stability estimates for inverse problems of some elliptic equations 

  Ingle, William Nathan (Wichita State University, 2011-12)

  In this dissertation we obtain new Carleman formulas for the solution of the Cauchy problem for equations P u = h, in Ω, u|E = f , where E ⊂ ∂Ω and | E | > 0. Our elliptic operator is of the form P = [ [2∂¯ 0 ; ...

• Testing homogeneity of a parameter matrix some of the rows of which are under synchronized order restrictions 

  Banerjee, Arijit (Wichita State University, 2011-12)

  This research considers a multiple multivariate linear regression model with a parameter matrix some of the rows of which are constrained by synchronized order restrictions. The test on the homogeneity of the parameter ...

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