numerical analysis. Specifically,
my interests are: numerical integration, one and multi variable;
numerical linear algebra; numerical solution of differential equations.
Current and past honours students
Current and past graduate students
Current projects include:
- The numerical evaluation of multi-dimensional integrals, primarily
using polynomial based methods.
- The numerical solution of differential equations, using collocation
techniques. A former MSc student,
has completed a Master's thesis on
a method-of-lines adaptive spatial mesh method based on collocation
with B-splines. He has completed a PhD, available in
postscript or pdf form.
A method of lines package based on DASSL has been developed.
Papers on this work are listed on the page showing
This has led to work on Schrodinger equations using a method
of lines package based on RADAU5.
- The numerical solution of ODEs with narrow pulses occurring in the
right hand sides. A thesis by an MSc student,
has resulted in software which can utilize state of the art ODE packages,
and techniques to detect the start of a pulse, or the failure
to detect a pulse, so that the software can backup and correct
the calculations. A paper on the software has been accepted for
publication in a special issue of Computer Methods with Applications.