Now showing items 34-45 of 45

  • [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. ...
  • [2014-01-09] Quantitative K-theory and spin Chern numbers [dataset] 

    Loring, Terry A.
    We examine the various indices defined on pairs of almost commuting unitary matrices that can detect pairs that are far from commuting pairs. We do this is two symmetry classes, that of general unitary matrices and ...
  • [2012-03-22] The Quaternions with an application to Rigid Body Dynamics 

    Coutsias, Evangelos A.; Romero, Louis
    William Rowan Hamilton invented the quaternions in 1843, in his effort to construct hypercomplex numbers, or higher dimensional generalizations of the complex numbers. Failing to construct a generalization in three dimensions ...
  • [2012-03-22] A reduced-order partial differential equation model for dynamics of the flow in athermosyphon 

    Coutsias, Evangelos A.; Burroughs, Elisabeth A.; Romero, L.
    Flow in a closed loop thermosyphon heated from below exhibits a sequence of bifurcations with increasing Grashof number. Using the Navier-Stokes equations in the Boussinesq approximation we have derived a model where, in ...
  • [2009-08-27] Shock formation properties of continuum and kinetic models 

    Cherepanov, Pavlo
    Continuum mechanics and kinetic theory are two mathematical theories with fundamentally different approaches to the same physical phenomenon. Continuum mechanics together with thermodynamics treat a substance (a gas or ...
  • [2012-03-23] Space charge limit instabilities in electron beams 

    Coutsias, Evangelos A.; Sullivan, D.J.
    The method of characteristics and multiple-scaling perturbation techniques are used to study the space-charge instability of electron beams. It is found that the stable oscillating state (virtual cathode) created when the ...
  • [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 ...
  • [2011-08-31] Steady states, non-steady evolution, pinch-off and post-pinch-off of axisymmetric drops in Stokes flow 

    Naderi, Shadi Askarian (9/15/1980)
    A good understanding of drop evolution and breakup is important in many applications. For instance, controlling the liquid droplet size is crucial in atomization processes such as fuel combustion and fertilizer application, ...
  • [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 ...
  • [2012-03-22] Topology of cyclo-octane energy landscape 

    Coutsias, Evangelos A.; Martin, Shawn; Thompson, Aidan; Watson, Jean-Paul
    Understanding energy landscapes is a major challenge in chemistry and biology. Although a wide variety of methods have been invented and applied to this problem, very little is understood about the actual mathematical ...
  • [2010-06-28] Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization 

    Heinemann, Klaus
    This thesis has two parts. In the first part I present results from my studies of the Vlasov-Maxwell system which was developed, together with a code, in collaboration with Bassi, Ellison and Warnock. The emphasis ...
  • [2012-08-28] Viscous flow past plates 

    Ling, Xu
    I devise a numerical method of high order in space (FDMHS) to simulate flow past a finite plate and a semi-infinite plate. The method solves the incompressible Navier-Stokes equation in the stream function-vorticity formulation. ...