Now showing items 11-19 of 19

  • [2014-09-12] On Roots of the Macdonald Function 

    Tejeda, Kaylee
    An overview is given for the Dirichlet-to-Neumann map for outgoing solutions to the “radial wave equation” in the context of nonreflecting radiation boundary conditions on a spherical domain. We then consider the Macdonald ...
  • [2011-07-01] Optimal control problems, curves of pursuit 

    Moiseeva, Svetlana
    We study a class of problems known as pursuit-evasion problems (PE). These problems can be understood as special cases of optimal control problems. After describing the two main principles to study optimal control ...
  • [2011-02-07] Orthogonality and convergence of discrete Zernike polynomials 

    Allen, Joseph
    The Zernike polynomials are an infinite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal- mology, and image recognition, among many other ...
  • [2010-09-03] Pell's Equation and nearly equilateral triangles 

    Christensen, Laurel
    In this paper, we seek a family of triangles that have integer sides and integer area. We focus mainly on scalene triangles since it is impossible to have such triangles that are equilateral and isoceles triangles with ...
  • [2015-01-28] Performance Analysis and Optimization of Hermite Methods on NVIDIA GPUs Using CUDA 

    Dye, Evan T.
    In this thesis we present the first, to our knowledge, implementation and performance analysis of Hermite methods on GPU accelerated systems. We give analytic background for Hermite methods; give implementations of the ...
  • [2013-09-03] Preconditioners constructed from the interpolative decomposition for the variable coefficient Poisson problem 

    Quintana, Ambrose
    When trying to solve elliptical problems such as the Poisson problem on complicated domains, one procedure is to split the domain into a union of simpler subdomains. When solving these problems iteratively, it becomes ...
  • [2010-09-09] Quantifying uncertainty in reliability block diagrams 

    Yu, Bea
    Reliability analysis yields statistically derived technical system performance estimates. Traditional reliability analysis employs classical statistical techniques predicated upon asymptotic properties of large data sets. ...
  • [2010-06-25] Spatial spread of infectious diseases 

    Mora, Aaron
    In this thesis we do a comparative study of diffusive models with non-diffusive models, looking at the effect movements in the form of simple diffusion have on the spreading of infectious diseases. This study is undertaken ...
  • [2012-02-01] Two cylindrical vortex sheets : evolution and singularity formation 

    Jeremy, Johnson
    Using Rosenhead's point-vortex approximation with correction terms, the evolution of two symmetrical, counter-rotating, initially cylindrical vortex sheets in an incompressible, potential fluid flow is studied. Simulations ...