This dissertation examines properties and representations of several isotropic Gaussian random fields in the unit ball in d-dimensional Euclidean space. First we consider Lévy's Brownian motion. We use an integral repr ...

The generalized Hankel transforms are studied in the first part of this thesis; these include the Watson transforms as a special case. For the validity of the reciprocal relations, a necessary and sufficient condition ...

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Integral representations for the generalized measures of deformation and deformation-rates have been obtained and suitable constitutive equations using these measures have been developed for viscoelastic materials, Th ...

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A Runge-Kutta method has been developed to minimize the global error in the numerical solution of certain classes of differential equations problems. The distinguishing feature of the method is that the coefficients o ...

The purpose of this descriptive case study analysis was to provide portraits of the heuristics students used and difficulties they encountered solving conditional probability problems prior to and after two-week instruct ...

We study the stability properties of, and the phase error present in, several higher order (in space) staggered finite difference schemes for Maxwell's equations coupled with a Debye or Lorentz polarization model. ...