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Numerical Construction of Diffeomorphism and the Applications to Grid Generation and Image Registration
(2016-08-12)
Diffeomorphism is an active research topic in differential geometry. In this area, the existence and construction of diffeomorphism under certain constraints is an interesting and meaningful task. J. Moser first proved the ...
Existence of Exact Zero Divisors and Totally Reflexive Modules in Artinian Rings
(2017-05-10)
In this dissertation, we consider commutative local Artinian rings (A, m, k), which are rings that satisfy the descending chain condition on ideals. First, we investigate the existence of exact zero divisors in Artinian ...
Conditional Confidence Intervals Of Process Capability Indices Following Rejection Of Preliminary Tests
(Mathematics, 2010-07-19)
Finding an ordinary confidence interval of an unknown parameter is well known, but finding a conditional confidence interval following rejection of a preliminary test is not so noted, especially for finding a conditional ...
Characterizing College Algebra Students' Mathematical Problem Solving
(2017-09-01)
This study examines the mathematical problem solving (MPS) practices of students enrolled in College Algebra at a large urban university in the southwestern United States. The primary research question explores how to ...
Properties Of The Pinched Tensor Product
(Mathematics, 2014-12)
For complexes of modules we study a new construction, called the pinched tensor product, which was introduced by Lars Winther Christensen and David A. Jorgensen to study Tate homology. We explore properties of the pinched ...
Numerical LES For MVG Controlled Supersonic Ramp Flow
(Mathematics, 2014-12)
An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with micro-ramp vortex generators (MVG) at Mach 2.5 and Re=5760. ...
A Generalized Approach To Darboux Transformations For Differential Equations
(Mathematics, 2014-07-14)
A Darboux transformation is a mathematical procedure to produce a solution to a differential equation when the solution to a related differential equation is known. The basic idea behind a Darboux transformation is to ...
Scattering and Inverse Scattering on the Line for a First-Order System with Energy-Dependent Potentials
(University of Texas at Arlington, 2018-05)
A first-order system of two linear ordinary differential equations is analyzed. The linear system contains a spectral parameter, and it has two coefficients that are functions of the spatial variable 𝑥. Those two functions ...