- Born in Auckland, New Zealand
- Educated at various primary schools in Auckland and in Dargaville

primary school - Secondary education at Dargaville DHS, Taumarunui DHS and Hamilton HS
- Tertiary education at Auckland University College and University of

Sydney. BSc and MSc (Auckland); PhD and DSc (Sydney) - academic and research positions at Sydney and Canterbury

Universities and Stanford Linear Accelerator Center - Professor of Mathematics, University of Auckland 1966 - 1998
- Emeritus Professor 1999 - present

Numerical methods for the solution of ordinary differential equations

(section 65L in Mathematical Reviews).

\[ \frac{d y}{d x} = f(y) \]

Within this broad area I work on a number of specialities some of which

are listed below.

\[ \begin{array}{c|cccc} c_1 & a_{11} & a_{12} & \cdots & a_{1s}\\

c_2 & a_{21} & a_{22} & \cdots & a_{2s}\\

\vdots & \vdots &\vdots & &\vdots \\

c_s & a_{s1} & a_{s2} & \cdots & a_{ss}\\ \hline

& b_1 & b_2 & \cdots & b_s \end{array} \]

\[ \begin{bmatrix} A & U\\ B & V \end{bmatrix} \]

\[ \begin{bmatrix}

DA + A^{\sf T} D - B ^{\sf T} G B & DU - B^{\sf T} G V\\

U^{\sf T}D - V^{\sf T} G B & G - V^{\sf T} G V \end{bmatrix}=0. \]

- Fellow Royal Society of New Zealand, 1980
- New Zealand Mathematical Society, Research Award
- Hector Medal, RSNZ, 1996
- Life Member, NZMS, 1998
- Fellow, NZMS, 1999
- ICCMSE Prize for Computational Mathematics, 2003
- Honorary Fellowship: European Society of Computational

and Applied Mathematics, 2008 - Fellow, Society for Industrial and Applied Mathematics, 2010
- Jones Medal, Royal Society of New Zealand, 2010
- van Wijngaarden Award, 2011
- Officer of the New Zealand Order of Merit, 2013

Beijing, 10-14 August 2015

Contributed paper: "On fifth order Runge-Kutta methods"

Kuala Lumpur, 25-27 August 2015

Invited paper: "Counting trees and rooted trees with applications"

Invited workshop: "B-series for the analysis of numerical methods"

Halle, 7-11 September 2015

Contributed paper within Minisymposium in honour of R. März: “Constructing high order G-symplectic methods“

Potsdam, 14-18 September 2015

Contributed paper: “The cohesiveness of G-symplectic methods“

I am now working on the third edition. Any comments on the previous

editions that will help me make improvements would be very much appreciated.

At the present time, information is being shared, and in some cases duplicated between this site and my site at the University of Auckland.