Search results | J. Murrey Atkins Library

Title: Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Author: Zhou, Yijing
Date Created: 2016
Subjects--Topical: Mathematics
Description: In this dissertation, we propose numerical methods for computing the boundary local time of reflecting Brownian motion (RBM) in 3d and its use in the probabilistic representation of the solution of the Laplace equation with the Neumann and Robin b...

Title: EFFECTS OF PEER-MEDIATED INSTRUCTION ON MATHEMATICAL PROBLEM SOLVING FOR STUDENTS WITH MODERATE/SEVERE INTELLECTUAL DISABILITY
Author: Ley Davis, Luann
Date Created: 2016
Subjects--Topical: Special education, Multicultural education, Mathematics
Description: The No Child Left Behind Act (NCLB, 2006) set a precedent that established even higher expectations for all students, including those with disabilities. More recently, the National Governors Association Center for Best Practices and the Council of...

Title: LIMIT THEOREMS FOR ONE CLASS OF ERGODIC MARKOV CHAINS
Author: Turhan, Nezihe
Date Created: 2016
Subjects--Topical: Statistics, Mathematics
Description: 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...

Title: LIMIT THEOREMS FOR RANDOM EXPONENTIAL SUMS AND THEIR APPLICATIONS TO INSURANCE AND THE RANDOM ENERGY MODEL
Author: Erturk, Huseyin
Date Created: 2016
Subjects--Topical: Mathematics, Statistics
Description: In this dissertation, we are mainly concerned with the sum of random exponentials. Here, the random variables are independent and identically distributed. Another distinctive assumption is the number of variables in this sum is a function of the c...

Title: Intermittency for Branching random walks with heavy tails.
Author: Getan, Asmaa
Date Created: 2016
Subjects--Topical: Mathematics
Description: 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...

Title: FRAME WAVELETS IN HIGH DIMENSION
Author: Huang, Wei
Date Created: 2016
Subjects--Topical: Mathematics
Description: In this dissertation, the classic one dimension orthogonal wavelet construction scheme is discussed and extended to construct Parseval's frame wavelets in high dimension scenario. An iterative algorithm is developed to construct various Parseval's...

Title: A study of operational variable influencing wheel balancing measurements
Author: Nabar, Aneesh
Date Created: 2016
Subjects--Topical: Mechanical engineering, Automobiles--Design and construction, Mathematics
Description: The aim of this research is to analyze various operational parameters that may affect the wheel balancing measurement. Therefore, wheel balancing measurements were taken iteratively on different low profile wheel/tire assemblies for different cond...

Title: Analysis of semiparametric regression models for the cumulative incidence functions under the two-phase sampling designs.
Author: Lee, Unkyung
Date Created: 2016
Subjects--Topical: Statistics, Mathematics
Description: Competing risks often arise where more than one event compete with each other for a subject. The cumulative incidence function is a proper summary quantity for analyzing competing risks data. In epidemiologic cohort studies, case-cohort study desi...

Title: Partition of unity isogeometric analysis for singularly perturbed problems and fourth order differential equations containing singularities
Author: Kim, Sinae
Date Created: 2016
Subjects--Topical: Mathematics
Description: The design basis functions in IGA are refined and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) functions with flat-top. These reconditioned and modified basis functions are pushed for...

Title: Isogeometric collocation method for elasticity problems containing singularities
Author: Rattan, Puja
Date Created: 2016
Subjects--Topical: Mathematics
Description: 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...

Title: High-order integral equations for electromagnetic problems in layered media with applications in biology and solar cells
Author: Zinser, Brian
Date Created: 2016
Subjects--Topical: Mathematics, Cytology, Electromagnetism
Description: We present two distinct mathematical models where high-order integral equations are applied to electromagnetic problems. The first problem is to find the electric potential in and around ion channels and Janus particles. The second problem is to f...

Title: High Order H(div) Discontinuous Galerkin Methods for MHD Equations
Author: Wu, Jian
Date Created: 2016
Subjects--Topical: Mathematics
Description: 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...