- 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“

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