In this thesis, we will study certain generalizations of the classical Shannon Sampling Theorem, which allows for the reconstruction of a pi-band-limited, square-integrable function from its samples on the integers. J. R ...
We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusi ...
An important question in the study of Riemannian manifolds of positive sectional curvature
is how to distinguish manifolds that admit a metric with non-negative sectional
curvature from those that admit one of positive ...
Gibson, Nathan L.(Global-Science Press, Cambridge University Press, 2015-11)
Electromagnetic wave propagation in complex dispersive media is governed by the time dependent
Maxwell’s equations coupled to equations that describe the evolution of the induced macroscopic polarization.
We consider “ ...
We propose algorithms for computational upscaling of flow
from porescale (microscale) to lab scale (mesoscale). In particular, we
solve Navier-Stokes equations in complex pore geometries and average
their solutions to ...