Browsing Doctoral Degrees (Pure Mathematics) by Title
Now showing items 12-16 of 16
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Lie group analysis of exotic options.
(2014-06-19)Exotic options are derivatives which have features that makes them more complex than vanilla traded products. Thus, finding their fair value is not always an easy task. We look at a particular example of the exotic options ... -
Measurement and modelling of households' demand and access to basic water in relation to the rapidly increasing household numbers in South Africa.
(2010)Service delivery in post-apartheid South Africa has become a topical issue both in the academia and the political arena . The rise of social movements, the xenophobic tensions of May 2008 and protest actions could be ... -
On convection and flow in porous media with cross-diffusion.
(2012)In this thesis we studied convection and cross-diffusion effects in porous media. Fluid flow in different flow geometries was investigated and the equations for momentum, heat and mass transfer transformed into a system ... -
Singularity and symmetry analysis of differential sequences.
(2009)We introduce the notion of differential sequences generated by generators of sequences. We discuss the Riccati sequence in terms of symmetry analysis, singularity analysis and identification of the complete symmetry group ... -
Spherically symmetric charged Einstein-Maxwell solutions.
(1999)In this thesis we study spherically symmetric spacetimes with a perfect fluid source which incorporates charge. We seek explicit solutions to the Einstein- Maxwell system of equations. For nonaccelerating spherically ...