Submitted by jcbutcher on
I am a mathematician specializing in numerical analysis.
Short biography
- 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
Research Interests
Ordinary differential equations
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.Runge-Kutta methods
\[ \begin{array}{c|cccc} c_1 & a_{11} & a_{12} & \cdots & a_{1s}\\ c_2 & a_{21} & a_{22} & \cdots & a_{2s}\\ \vdots & \vdots &\vdots & &\vdots \\ c_s & a_{s1} & a_{s2} & \cdots & a_{ss}\\ \hline & b_1 & b_2 & \cdots & b_s \end{array} \]General linear methods
\[ \begin{bmatrix} A & U\\ B & V \end{bmatrix} \]G-symplectic general linear methods
\[ \begin{bmatrix} DA + A^{\sf T} D - B ^{\sf T} G B & DU - B^{\sf T} G V\\ U^{\sf T}D - V^{\sf T} G B & G - V^{\sf T} G V \end{bmatrix}=0. \]B-series
Honours and awards
- 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
Travel and conferences 2015
ICIAM
Beijing, 10-14 August 2015
Contributed paper: "On fifth order Runge-Kutta methods"
ICREM7
Kuala Lumpur, 28 August 2015
Invited paper: "Counting trees and rooted trees with applications"
Invited workshop: "B-series for the analysis of numerical methods"
Universiti Putra Malaysia
Putra Jaya, 17-28 August 2015
Three lectures on Runge-Kutta methods (17 - 19 August)
Seminar (28 August): "Solving evolutionary problems stably and conservatively"
Runge-Kutta workshop
Kassel, 31 August 31 - 2 September 2015
Invited presentations: “Survey of Runge-Kutta Methods“, "Runge-Kutta Methods for Non-Stiff Problems", "Runge-Kutta Methods for Stiff Problems", "Runge-Kutta Methods for Hamiltonian Problems"
Humboldt Universiät zu Berlin
Berlin, 4 September 2015:
Seminar "B-series and the order of general linear methods"
NUMDIFF
Halle, 7-11 September 2015
Contributed paper within Minisymposium in honour of R. März: “Constructing high order G-symplectic methods“
SciCADE
Potsdam, 14-18 September 2015
Contributed paper: “The cohesiveness of G-symplectic methods“
Universiät Kassel
Kassel 21 - 23 September 2015:
Seminar "B-series for the analysis of numerical methods"
New Zealand Mathematical Society Colloquium
Christchurch 1 - 3 Decembet 2015:
Contributed paper "The construction of high order G-symplectic methods"
AUT Mathematical Sciences Symposium
Christchurch 7 - 8 Decembet 2015:
Contributed paper "Speeding up calculations"
Travel and conferences 2016
ICNAAM CONFERENCE
Rhodes, Greece, 19 - 25 September 2016:
Invited paper ”Trees, B-series and G-symplectic methods”,
Seminar ETH
Zürich, 28 September 2016:
Lecture ”The construction of high order G-symplectic methods”
Conference on Geometric Integration
La Trobe University, 5-7 December 2016:
Lecture ”The construction of high order G-symplectic methods”
Travel and conferences 2019
SciCADE19
Innsbruck, Austria, 22 - 26 July 2019:
Invited paper ”45 years of B-series”,
Book: "Numerical methods for ordinary differential equations"
My University of Auckland web-site
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