ScholarWorks@UA

Theses (Mathematics and Statistics)

DSpace/Manakin Repository

Theses (Mathematics and Statistics)

 

Recent Submissions

  • Mitchell, William H. (2012-08)
    We begin with an overview of the fluid mechanics governing ice flow. We review a 1985 result due to Balise and Raymond giving exact solutions for a glaciologically-relevant Stokes problem. We extend this result by giving ...
  • Burr, Erika (2017-08)
    This paper seeks to provide complete proofs in modern notation of (early) key saturation number results and give some new results concerning the semi-saturation number. We highlight relevant results from extremal theory ...
  • Barry, Timothy J. (2017-08)
    Many common approximation methods exist such as linear or polynomial interpolation, splines, Taylor series, or generalized Fourier series. Unfortunately, many of these approximations are not analytic functions on the entire ...
  • Knowles, Tyler D. (2016-08)
    We use the conformal method to investigate solutions of the vacuum Einstein constraint equations on a manifold with a Yamabe-positive metric. To do so, we develop a model problem with symmetric data on Sn⁻¹ x S¹. We ...
  • Banos, Hector (2016-05)
    Latent tree models are tree structured graphical models where some random variables are observable while others are latent. These models are used to model data in many areas, such as bioinformatics, phylogenetics, computer ...
  • Harris, Matthew W. (2015-08)
    We study the development of two numerical algorithms for long nonlinear wave runup that utilize the generalized Carrier-Greenspan transform. The Carrier-Greenspan transform is a hodograph transform that allows the Shallow ...
  • Kilpatrick, Kristopher N. (2014-12)
    We present an axiomatic development of geometric algebra. One may think of a geometric algebra as allowing one to add and multiply subspaces of a vector space. Properties of the geometric product are proven and derived ...
  • Garayshin, Viacheslav Valer'evich; Гарайшин, Вячеслав Валерьевич (2013-08)
    Tsunami runup can be effectively modeled using the shallow water wave equations. In 1958 Carrier and Greenspan in their work "Water waves of finite amplitude on a sloping beach" used this system to model tsunami runup on ...
  • Layer, Mark (2014-05)
    In this thesis we develop an intuitive process of encoding any phylogenetic tree and its associated tree-distance matrix as a collection of points in Euclidean space. Using this encoding, we find that information about the ...
  • Gillispie, Lyman (2014-05)
    Temperature plays an important role in the dynamics of large flowing ice masses like glaciers and ice sheets. Because of this role many models for ice sheets model temperature in some form. One type of model for polythermal ...

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