Mathematics Dissertations and Theses: Recent submissions
Now showing items 2140 of 179

Contributions to the theory of functions of a bicomplex variable
(University of Kansas, 1952) 
Riemannian Geometry on Some Noncommutative Spaces
(University of Kansas, 20171231)This dissertation enquires into how the theory and mechanism of Riemannian geometry can be introduced into and integrated with the existent ones in noncommutative geometry, a branch of mathematics inspired by the development ... 
Balancing domain decomposition by constraints algorithms for incompressible Stokes equations with nonconforming finite element discretizations
(University of Kansas, 20171231)Hybridizable Discontinuous Galerkin (HDG) is an important family of methods, which combine the advantages of both Discontinuous Galerkin in terms of flexibility and standard finite elements in terms of accuracy and efficiency. ... 
A Comparison of Some Dimension Reduction Techniques with Varied Parameters
(University of Kansas, 20171331)This paper presents and explains several methods of dimensionality reduction of data sets, beginning with the well known PCA and moving onto techniques that deal with data on a nonlinear manifold. Methods for handling data ... 
Generalized vectors and the matrix equation x([K])=B
(University of Kansas, 1952) 
A reduced system of differential equations for the invariants of ternary forms
(University of Kansas, 1926) 
A study of line congruences by means of a modified tensor analysis
(University of Kansas, 1952) 
Moving mesh methods for numerical solution of porous medium equations
(University of Kansas, 20170531)Porous medium equation (PME) has been found in many applications of the physical sciences. The equation is nonlinear, degenerate, and in many situations has a free boundary, which altogether pose great challenges for ... 
QUANTUM FAMILIES OF MAPS
(University of Kansas, 20170531)This dissertation investigates the theory of quantum families of maps, which formulates a noncommutative topological way to study quantum analogs of spaces of continuous mappings, classical objects of interest from general ... 
A study of analytic surfaces by means of a projective theory of envelopes
(University of Kansas, 1946) 
Projective normality for some families of surfaces of general type
(University of Kansas, 20170831)In this thesis, we present the author's joint research with Lei Song, published in \cite{RS}. We show this: Suppose X is a minimal surface, which is a ramified double covering f:X S, of a rational surface S, with dim ... 
Optimizing mathematics placement: A machine learning approach comparing predictive algorithmic models
(University of Kansas, 20170831)Choosing the best criteria to place incoming college freshmen into the appropriate first semester courses proves to be a challenge for all subject areas, but for mathematics in particular. It is crucial that universities ... 
KAM Stability of The Kepler Problem with a General Relativistic Correction Term
(University of Kansas, 20170531)In this work, we will be investigating a specific Hamiltonian system, namely, the Kepler problem with a correction term $\frac{\delta}{r^{3}}$ added to the potential energy. Our objective is to show that the system is ... 
Concerning the occurrence of a particular curve in the solution of certain differential equations
(University of Kansas, 1931) 
On the contact of curves in a four dimensional space
(University of Kansas, 1931) 
Concerning special curves of cycloidal type
(University of Kansas, 1930) 
Parametric equations of plane curves
(University of Kansas, 1931) 
A Lyapunov exponent based stability theory for ordinary differential equation initial value problem solvers
(University of Kansas, 20161231)In this dissertation we consider the stability of numerical methods approximating the solution of bounded, stable, and timedependent solutions of ordinary differential equation initial value problems. We use Lyapunov ... 
A canonical expansion for the equation of a ruled surface
(University of Kansas, 1929) 
The generation by pencils of lines of certain plane cubic curves
(University of Kansas, 1931)