Current Research

numerical analysis. Specifically, my interests are: numerical integration, one and multi variable; numerical linear algebra; numerical solution of differential equations.

Publications

Student Supervision

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, Rong Wang, 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 publications. 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, Amy Hynick, 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.