Now showing items 5-11 of 11

  • [2013-01-30] Numerical simulation of traffic flow using a hydrodynamic model 

    VanderPloeg, Craig
    We examine the solution to the system of partial differential equations for the transport and continuity equations. The model for our system of equations closely resembles the Payne-Whitham model for traffic flow. The ...
  • [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 ...
  • [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 ...
  • [2013-01-30] Terrestrial and extraterrestrial radiation sources that move faster than light 

    Schmidt Zweifel, Andrea Caroline
    Maxwell's equations establish that patterns of electric charges and currents can be animated to travel faster than the speed of light in vacuo and that these superluminal distribution patterns emit tightly focused ...