This thesis investigates the direct application of quadrature
methods to solve, iteratively, singular non-linear integral equations.
This is divided into two main spheres of interest, firstly, the
production of quadrature methods to evaluate integrals which contain
singularities, and secondly, the production of generally convergent
iterative techniques. [Continues.]
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.