Search results
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Title
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Goodness-of-Fit Tests Under Permutations
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Author
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Chen, Chen
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Date Created
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2019
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Subjects--Topical
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Statistics, Mathematics, Information science
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Description
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Several new goodness-of-fit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....
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Title
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High Order H(div) Discontinuous Galerkin Methods for MHD Equations
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Author
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Wu, Jian
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we investigate the divergence-free discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...
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Title
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IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA ION-CHANNELS
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Author
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Baker, Katherine
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Date Created
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2014
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Subjects--Topical
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Mathematics
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Description
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We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling package. This method, termed the Image-Charge Solvation Model (ICSM), and introdu...
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Title
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ISOGEOMETRIC ANALYSIS AND PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR PLATES
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Author
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Kim, Hyunju
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Date Created
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2013
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Subjects--Topical
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Mechanical engineering, Mathematics
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Description
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Isogeometric analysis (IGA) is a framework bridging the gap between Computer Aided Design (CAD) and Finite Element Analysis (FEA). So it drastically reduces the error in the representation of the computational domain and the re-meshing by the use ...
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Title
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Improved Bounds on a Combinatorial Problem
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Author
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Page, Jacob
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Date Created
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2021
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Subjects--Topical
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Mathematics
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Description
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In this paper, we will define a function $H:\N \rightarrow \N$, whose output is the size of an optimized hypergraph based upon the restraints given by its input values. This function is known to be well-defined, however its values are unknown for ...
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Title
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Improving Semiparametric Estimation of Longitudinal Data with Covariance Function
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Author
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Fang, Fang
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Date Created
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2018
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Subjects--Topical
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Mathematics, Statistics, Biometry
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Description
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In this dissertation, we aim to improve efficiency of estimation in longitudinal data under generalized semi-parametric varying-coefficient models.First, we investigate a profile weighted least square approach for model estimation by utilizing wit...
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Title
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Intermittency for Branching random walks with heavy tails.
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Author
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Getan, Asmaa
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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iic 2016Asmaa GetanALL RIGHTS RESERVEDiiiABSTRACT Branching Markov process models populations in which each individual in gener-ation n produces some random number of individuals in the next generation, n + 1, according to a certain probability di...
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Title
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Inverse source problems for elliptic and parabolic equations
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Author
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Li, Qitong
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we solve two inverse problems. The first one is the inverse source problem for the Helmholtz equation that governs the wave propagating in anisotropic media. The second one is to recover the initial condition for parabolic eq...
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Title
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Investigations of Coherence and Structured Light
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Author
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Mays, Joseph
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Date Created
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2023
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Subjects--Topical
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Optics, Mathematics, Physics
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Description
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The combination of singular optics and partially coherent fields has become increasingly important in the applications of optical communication and optical imaging. Within this, we focus on the phenomena of optical vortices. We use and study the p...
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Title
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Isogeometric collocation method for elasticity problems containing singularities
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Author
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Rattan, Puja
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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Isogeometric analysis (IGA), introduced by Hughes, et al. [2,3], is a mathematical approach that combines Finite Element analysis (FEA) in conjunction with engineering design tools, such as CAD, which allows analysis, testing and redesign of struc...
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Title
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LIMIT THEOREMS FOR ONE CLASS OF ERGODIC MARKOV CHAINS
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Author
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Turhan, Nezihe
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Date Created
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2016
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Subjects--Topical
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Statistics, Mathematics
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Description
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The goal of this dissertation is to develop some classical limit theorems for the additive functionals of the homogeneous Markov chains in the special class of the so-called, Loop Markov Chains. The additive functionals of the Markov chains have t...
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Title
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LIMIT THEOREMS FOR REACTION DIFFUSION MODELS
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Author
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Feng, Yaqin
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Date Created
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2011
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Subjects--Topical
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Mathematics
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Description
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We introduce two different reaction diffusion models: evolution of one-cell populations in the presence of mitosis and continuous contact model.In the first model we consider the time evolution of the supercritical reaction diffusion-equation on t...
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Title
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Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
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Author
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Rowe, Ashley
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Date Created
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2018
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Subjects--Topical
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Mathematics
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Description
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This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on limit cycles, cycles that are isolated from all other cycles. These are of fund...
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Title
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Long Concavity of the Power Partition Function
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Author
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Benfield, Brennan
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numeri...
