Browsing PhD Dissertations - DO NOT EDIT by Title

Now showing items 145-154 of 154

    • A Study On The Two Component Periodic Shallow Water Systems 

      Chen, Caixia (Mathematics, 2012-07-25)
      In this dissertation we study the generalized periodic two-component Camassa-Holm system and the generalized periodic two-component Dullin-Gottwald-Holm system, which can be derived from the Euler equation with nonzero ...

    • Support and Rank Varieties of Totally Acyclic Complexes 

      Steele, Nathan Thomas; 0000-0002-6494-2481 (2016-08-12)
      Support and rank varieties of modules over a group algebra of an elementary abelian p-group have been well studied. In particular, Avrunin and Scott showed that in this setting, the rank and support varieties are equivalent. ...

    • Testing The Equality Of Regression Coefficients And A Pooling Methodology From Multiple Samples When The Data Is Multicollinear 

      Riley, Fransell (Mathematics, 2009-09-16)
      Testing the equality of regression coefficients between two regression equations is a common practice in statistics today. The theory and methods are sufficiently developed under ordinary least squares (OLS) estimation. ...

    • The Natural Middle of a Complete Resolution 

      Aduddell, Rebekah J.; 0000-0002-9324-6936 (2021-08-23)
      It is widely known that minimal free resolutions of a module over a complete intersection ring have nice patterns that arise in their Betti sequences. In the late 1990's Avramov, Gasharov and Peeva defined a new class of ...

    • THREE DIMENSIONAL IMAGE RECONSTRUCTION (3DIRECT) OF SPARSE SIGNALS WITH MRI APPLICATION 

      Au, Melinda M; 0000-0001-8687-2640 (2016-11-29)
      Sparse signal reconstruction has been steadily gaining tremendous attention, specifically in applications of compressed sensing as well as feature selection in signal processing methods [IEEE Signal Processing, Vol. 25 ...

    • Twisting Systems and some Quantum P³s with Point Scheme a Rank-2 Quadric 

      Tran, Hung Viet; 0000-0003-4386-3239 (2022-05-18)
      In 1996, J. J. Zhang introduced the concept of twisting a graded algebra by a twisting system, which generalizes the concept of twisting a graded algebra by an automorphism (the latter concept having been introduced in an ...

    • Uniform Weighted Compact / Non-compact Schemes For Shock / Boundary Layer Interaction 

      Xie, Peng (Mathematics, 2008-08-08)
      The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a uniform weighted compact / non-compact scheme ...

    • The Uniqueness Of Minimal Acyclic Complexes 

      Hughes, Meri Trema (Mathematics, 2009-09-16)
      In this paper, we discuss conditions for uniqueness among minimal acyclic complexes of finitely generated free modules over a commutative local ring which share a common syzygy module. Although such uniqueness occurs over ...

    • Weight Modules Of Orthosymplectic Lie Superalgebras 

      Ferguson, Thomas Lynn
      A long-standing problem in representation theory is the classification of all simple weight modules of the classical Lie superalgebras. This problem was reduced to the classification of simple bounded highest weight ...

    • WEIGHTED UPWINDING COMPACT SCHEME FOR SHOCK CAPTURING 

      Al-Dujaly, Hassan Abd; 0000-0002-2052-9396 (2017-05-03)
      The Weighted Upwinding Compact Scheme in this dissertation has been constructed due to dissipation and dispersion analysis at each stencil. The new scheme is applied to many one-dimensional typical problems involving ...