Search results | J. Murrey Atkins Library

Title: APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
Author: Semiyari, Hamid
Date Created: 2015
Subjects--Topical: Mathematics
Description: We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...

Title: Chaos in Non-Euclidean Geometries Arising in Mechanics
Author: BHATTACHARYA, TAPOBRATA
Date Created: 2015
Subjects--Topical: Mechanical engineering, Mechanics, Mathematics
Description: Chaotic systems are a class of nonlinear dynamical systems that have captured the attention of mathematicians and engineers for long. Even though chaotic systems are deterministic in nature, long term prediction of behavior of such systems is diff...

Title: Generalized semiparametric varying-coefficient models for longitudinal data
Author: Qi, Li
Date Created: 2015
Subjects--Topical: Mathematics, Statistics, Biometry
Description: In this dissertation, we investigate the generalized semiparametric varying-coefficient models for longitudinal data that can flexibly model three types of covariate effects: time-constant effects, time-varying effects, and covariate-varying effec...

Title: Spectral theory of the Schrodinger operator on general graphs
Author: Zheng, Lukun
Date Created: 2015
Subjects--Topical: Mathematics, Physics
Description: The goal of this dissertation is to give the sufficient conditions for the absence of a.c.spectrum or existence of the pure point (p.p.) spectrum for the deterministic or random Schrodinger operators on the general graphs. For the particular situa...

Title: Supporting Students' Conceptions of Algebraic Equations and Expressions Using Realistic Mathematics Education (RME) Design Theory
Author: Miller, Melissa
Date Created: 2015
Subjects--Topical: Mathematics--Study and teaching, Education, Mathematics
Description: This study investigated ways to support students’ development of mathematical meaning making as they learned to simplify and solve algebraic expressions and equations. The literature addresses the occurrence of specific conceptions by students of ...

Title: Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author: Fairchild, Michael
Date Created: 2015
Subjects--Topical: Mechanical engineering, Robotics, Mathematics
Description: This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...

Title: Thread Mapping Using System-Level Model for Shared Memory Multicores
Author: Mitra, Reshmi
Date Created: 2015
Subjects--Topical: Computer engineering, Mathematics
Description: Exploring thread-to-core mapping options for a parallel application on a multicore architecture is computationally very expensive. For the same algorithm, the mapping strategy (MS) with the best response time may change with data size and thread c...