Mathematician,

Adjunct Professor, Queensland University of Technology.

Research Associate, Queensland Alliance for Agriculture and Food Innovation, University of Queensland.

**Current Research Projects**

Surface fitting with application to
plant architectures

Gradient Estimation from discrete function values

Functional Structural models of Macadamia

Mathematical modelling of digestive processes

Recent
Projects

Modelling protein
recruitment and expulsion in endosomal systems

Stochastic algorithms for Optimisation.

A multidimensional integral equation - numerical solution by iteration based on physical arguments

Parameter fitting for the Climex software program

Investigation of the teaching of linear
algebra to tertiary students

Co-authored two volumes on Senior Mathematics B with R.Boggs, K. Bolger, and R. Farragher.

**Research Awards **

2010 ARC Linkage grant. $440,000, 2010-2012 Partners Prof. Ian Turner, QUT, Dr, Scott McCue, QUT, Dr. J Hanan , UQ, Dr.Gary Dorr, UQ, Dr . G .Elliot, ANU, Dr Alison Forster, Plant Protection Chemistry, New Zealand, Dr. Jerzy Zabkiewicz, Plant Protection Chemmistry, Nre Zealand, Nufarm Australia, Syngenta Crop Protection.

2004 Parameter fitting for the Climex software package
$10,000 CSIRO division of Entomology

1. Mathematics for
Queensland Year 11B . *K. Bolger, R. Boggs,
R.Faragher, J.A.Belward. *Oxford University
Press, Melbourne 2001,

ISBN 0 19 550852.

2. Mathematics for Queensland Year 12B . *K.
Bolger, R. Boggs, R.Faragher, J.A.Belward. *Oxford
University Press, Melbourne 2002,

ISBN 0 19 550853.

**Research Papers**

1. The solution of a Fredholm integral
equation of the first kind. Quarterly of Applied Maths., **27**
(1969), pp. 313-321.

2. Solutions of some Fredholm integral
equations using fractional integration, with an application
to a forced convection problem. Z.A.M.P., **23** (1972), pp. 901-917.

3. Forced Convection problems and some
related integral equations. Ph.D. thesis abstract*. Bull.
Austral. Math. Soc., 6* (1972), p.471.

4. Elastic waves in a prestressed
Mooney material. *Bull.Austral.Math. Soc. 7*
(1972), pp. 153-161.

5. Some dynamic properties of a
prestressed incompressible hyperelastic material*. Bull.
Austral. Math . Soc. 8* (1973), pp.61-74.

6. On the relationship of some Fredholm
integral equations of the first kind to a family of boundary
problems. *J. Math. Anal. and Applics 48*
(1974), pp. 184-199.

7. An axially symmetric forced
convection problem. *J. Austral. Math. Soc. 20*
(1975), pp. 1-17.

8. The propagation of small amplitude
waves in prestressed incompressible elastic cylinders*
Int. J. Engng. Sci . 14 *(1976), pp. 647-659.

9. An integral equation solution for
the plane strain of a fibre reinforced ellipse*. J. Comp.
Phys. 42* (1982), pp. 215-236.

10. Further solutions of a Fredholm
integral equation of the first kind arising in elastic half
space and forced convection problems. *Quart. J. Mech.
and Appl. Maths. 36* (1983), pp. 237-245.

11. Further studies of the application
of constrained minimisation methods to Fredholm integral
equations of the first kind. *I.M.A.J. Num. Anal. 5
*(1985), pp. 125-139.

12. Existence of solutions of Oseen
type integral equations*. Bull.Austral. Math. Soc. 29*
(1984), pp. 57-66.

13. Nonlinear least squares - theory,
algorithms and software. Presented at the Sixth Joint Summer
School ``Advances in Numerical Algorithms'', Manchester
1984. An invited paper published in the Summer School
proceedings*, Numerical Algorithms, edited by J.L.Mohamed
and J.Walsh,* pp. 275-292Clarendon Press, Oxford, 1986.

14. An exponential version of Filon's
rule. *J. Comput. and Appl. Maths. 14* (1986),
pp. 461-466.

15. Numerical solutions of the
compressible flow Oseen integral equation. *Computational
Techniques and Applications: CTAC---89. Eds. W.L.Hogarth
and B.J.Noye*, Hemisphere Publishing, New York , 1990.

16. Propagation of waves in cylinders
of incompressible materials; modes with complex wave
numbers. *Quart.
J. Mech. and Appl. Maths. 40* (1987), pp.
383-399. (Joint with S.J.Wright).

17. Computers and contemporary
Mathematics. ( An invited paper) *Q.A.M.T. Journal 13*
(1988), pp. 21-27.

18. Searching for Solutions -
Experimental Applied Mathematics in a Primary Environment.
In *Proceedings of the 9th Computers in Education
conference,* 1991, pp. 231-244. ,Research and presented
at the Annual of the Australian Computers in Education
Conference at Bond University in September 1991.

19. Damping of Resonances in
Rectangular Radio Frequency and Microwave Packages

and Module Housings. * I.R.E.E.convention, Sydney,*
September 1991. Joint with
J.A.R.Ball and T.Downs,

20. The solution of Fredholm integral
equations on transputer arrays*, Applications of
Transputers 3, Vol. I*, IOS Press, Amsterdam,(1991),
pp. 93-98.

21. Multi-Processor Algorithms for
Fredholm Integral Equations . in *Transputing for
Numerical and Neural Network Applications, published in
Amsterdam, by IOS Press, in the Transputer and Occam
Series, *1992, pp. 110-122. Edited by G.L.Reijns and
J. Luo, Delft Technical University, NL.

22. A Variational Approach for the Histogram Modification of an Image, Proceedings of the 5th Australian Transputer and Occam User Group Conference, 4-5 November 1992, Melbourne, Australia, IOS Press, 1993, pp. 1-6.( Joint work with I.Altas , and J. Louis)

23. Drought Monitoring through Parallel Computing. Proceedings of the Sixth SIAM Conference on Parallel Processing in Scientific Computation pp. 117-12.. Edited R. Sincovec et al. Published by S.I.A.M. Press, Philadelphia 1993.( Joint work with K. Burrage, F. Duncalfe, R. Young, L.Lau, and M.Rezny).

24. Computers in Mathematics A, B, and C, Teaching Mathematics, 17, 1992, pp 39-41.

25. Tank Calibration - Practical Examples in Approximation. The UMAP Journal, 15 , No. 1, pp 29-42, 1994.

* 26. A New Image Enhancement Algorithm on MasPar and Parallel Virtual Machine (PVM) Environments, in the proceedings of the 1994 EUROSIM Conference on Massively Parallel Processing Applications and Development, Delft, Holland (1994) pp. 819 - 826. (Joint work with J.Louis, I.Altas, R.Moore, K.Burrage and M.Rezny).

27. A variational approach to the Radiometric Enhancement of Digital Imagery I.E.E.E Transactions on Image analysis, 4, No. 6, pp 845-849, 1995. (Joint work with J. Louis, and I.Altas).

28. ADVISE Agricultural Development Visualisation Interactive Software Environment Presented at the CONPAR meeting, Linz, Austria, September 1994. (Joint work with L.Lau, I.Altas, K.Burrage and M.Rezny).

29. Tau Method Approximations for the
Bessel Function *Y _{0}(z)*.

30. Simulated annealing - a robust
optimisation technique for fitting nonlinear regressions.
IASTED. *Conference on Modelling, Simulation and
Optimisation , Gold Coast, *1996. (Joint work with
K.Burrage, P.M.Pepper and D.G.Mayer).

31. Use of Advanced Techniques to
Optimise a Multi-Dimensional Dairy Model. Agricultural Systems, **50,
**pp 239-253, 1996 (Joint work
with K.Burrage and D.G.Mayer).

32. A Stochastic Simulation of Sintered
Microstructures. In *Sintering Technology, eds German,
Messing, Cornwall, pp 365-372. *Published by Marcel
Dekker, New York, 1996.(Joint with G.B.Schaffer, T Sercombe,
K. Burrage, and I. Podolsky.)

33. Monitoring the knowledge of
entrants to First Year Engineering at the University of
Queensland. *pp. 695-704, in The Role of Mathematics in
Modern Engineering, *eds. A.K.Easton and J.M.Steiner*.*
Student Literatur, Lundberg April 1996.

34. Optimisation of a dairy farm model
- Comparison of Simulated Annealing, Simulated Quenching,
and Genetic Algorithms*. Proceedings of International
Conference on Modelling and Simulation, pp33-38. Vol.1. *Eds.
Binning,P., Bridgman,H., Williams, B. November 1995. (joint
with D. Mayer, K. Burrage, and M.A.Stuart)

35. An Image Enhancement Algorithm on
Parallel Virtual Machine (PVM) Environment. *Journal of
Mathematical Sciences, ***7**, pp. 53-63, 1996 .
(Joint with Altas, I., Rezny, M., Louis, J., Burrage, K.,
and Moore, R. ) .

36. The Multi-Faceted Challenge of
Teaching University Mathematics at the Close of the 20th
Century. In* Proceedings of Second State Conference of
HERDSA (inc.) Qld on ‘Student Diversity in Higher
Education; Implications for Teaching and Learning. *University
of Southern Queensland April13-14 1996. On disc.

37. Coupling Spatial Models at Varying
Space and Time Scales. *MODSIM 97, International
Conference on Modelling and Simulation Proceedings*,
1997. Volume 2, pp. 669-674. J.A. Belward, K.Brook,
G.McKeon, R.Young, L.Lau. (A)

38. Fractal Dimensions for Rainfall
Time Series.* MODSIM 97, International Conference on
Modelling and Simulation Proceedings*, 1997. Volume 1,
pp. 48-5 Joint with M. Breslin.

39. Use of Evolutionary Algorithms and
Simulated Annealing to Optimize

a Herd Dynamics Model*. MODSIM 97, International
Conference on Modelling and Simulation Proceedings*,
1997. Volume 3, pp. 1109-1114. Joint with D.G. Mayer and K.
Burrage

40. A bound on the maximum strong order
of stochastic Runge-Kutta methods for stochastic ordinary
differential equations. *BIT* 1997, **37**,
pp771-780. Joint with P. Burrage and K. Burrage.

41. Chebyshev Series Approximation for
the Bessel Function Yn(z)
of Complex Argument *Applied Mathematics and Computation*.
Vol. 88 (2-3), pp. 275-286 (1997). Joint with J. Zhang.

42. Optimizing simulation models of
agricultural systems. *Annals of Operations Research. *Vol.
82, 1998, pp. 219-231. Joint with D.G.Mayer and K.Burrage.

43. Tabu Search Not an optimal Choice
for Models of Agricultural Systems. *Agricultural
Systems, 58,* no.2, 243-251, 1998.

44. Survival of the fittest - genetic
algorithms versus evolution strategies in the optimization
of systems models. *Agricultural Systems, 60, no.
, pp113-122, *1999

45. Fractal
Dimensions for rainfall time series. *Mathematics and
Computers in Simulation, 48, nos. 4-6, pp437-446*,
1999

46. Performance of Genetic Algorithms
and simulated annealing in the economic optimization of a
herd dynamics model. *Environmental International, 25,
nos.6/7, pp899-905*, 1999

47. Survival of the fittest -
Genetic algorithms versus evolution strategies in the
optimization of systems models.*Agricultural Systems *
**60 **1999** **pp 113-122 (D.G.Mayer, J.A.Belward,
H. Widell and K.Burrage.)

48. More reform needed yet… *The
Challenge
of Diversity - Proceedings of the Delta 99 symposium
on undergraduate mathematics. *Published by the Delta
99 committee, ISBN 0 646 38371 X
1999, pp33-37.

49.Robust parameter settings of
evolutionary algorithms for the optimisation of agricultural
systems models *Agricultural Systems * **69
**2001** **pp99-213 (D.G.Mayer, J.A.Belward and
K.Burrage.)

50. Short term forecast of the load
demand in Victoria . *MODSIM 2001, International
Conference on Modelling and Simulation. Volume 3*,
2001, pp.1065-1070, ISBN 0-867405252 Joint
with C Baloi, M Bulmer.

51. Numerical Algorithms - enhancing presentation
while maintaining rigour in introductory courses: A
minimalist approach to course modernization. *
*Refereed conference paper
presented at ICTM2, Crete,July 2002. Published by J.Wiley &
Sons. ISBN 0-471-46332-9. http://www.math.uoc.gr/~ictm2/Proceedings/pap258.pdf

52. Boundary treatment for Virtual Leaf Surfaces. * *GRAPHITE 2003*, *Proceedings of the 1st international
conference on Computer graphics and interactive techniques in
Australasia and South East Asia, Melbourne, Australia. pp. 261 -
262, 2003, ISBN:1-58113-578-5
joint with B.I.Loch and J.S.Hanan.

*53 .*Sensitivity Analysis Of The
National Electricity Market, Proceedings of MODSIM 2003
International Conference on Modelling and Simulation Editor
D.A.Post Townsville Australia, July 2003. pp.1084 -
1089, ISBN 1 74052 096
X. Joint with C. A. Baloi and M.
Bulmer.

54 . Genetic Unit Commitment Model In A Deregulated Power Energy Environment. Refereed proceedings of MODSIM 2003 International Conference on Modelling and Simulation Editor D.A.Post Townsville Australia, July 2003. pp. 1078 - 1083. ISBN 1 74052 096 X. Joint with C. A. Baloi and M. Bulmer

55. Multi - Area
Unit Commitment In The National Electricity Market . Proceedings of MODSIM
2003 International Conference on Modelling and Simulation
Editor D.A.Post Townsville Australia, July 2003
pp1685 - 1690. ISBN 1 74052 096
X. Joint with C. A. Baloi and M.
Bulmer

Developments in Applied Artificial Intelligence. 15th Int. Conf. on Ind. and Eng. Applics. of Artificial Intelligence and Expert Systems, IEA/AIE 2002, Cairns, Australia. Joint with Runqiang B, Chen P, Burrage K, Hanan J, and Room P. (2002).

57. Modelling and visualising urban growth in southeast Queensland..Australia and New Zealand Regional Science Association International Conference, Gold Coast, 2002. Joint with Bell, M., Stimson, R., Shyy, T-K., Kastanis, L. and Yorston, E.

58. A GIS model to predict Urban Population and Housing in the S.E.Qld. Region, with Visualization. Presented to the Pacific Regional Science Organisation, Acapulco, Mexico, July 2003.

Joint with Bell, M., Stimson, R., Shyy T-K., and Kastanis, L.

59. Application of Surface Fitting Techniques for the Representation of Leaf Surfaces. In Zerger, A. and Argent, R.M. (eds) MODSIM 2005 International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand, December 2005, pp. 1272-1278. ISBN: 0-9758400-2-9. http://www.mssanz.org.au/modsim05/papers/Loch.pdf

Joint with B.I.Loch, and J.S.Hanan.

60. On derivative estimation and the solution of least squares problems. J Computational and Applied Mathematics, 222 , pp. 511-523, 2008.

Joint with I.W.Turner and M.Ilic

61. A Hybrid Clough-Tocher Radial Basis Function Method for Modelling Leaf Surfaces. In Oxley, L. and Kulasiri, D. (eds) MODSIM 2007 International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand, December 2007, pp. 400-406. ISBN : 978-0-9758400-4-7. http://mssanz.org.au/MODSIM07/papers/7_s50/

Joint with I. W. Turner and M. N. Oqielat.

62. A Hybrid Clough-Tocher Method for Surface Fitting with Application to Leaf Data. Applied Mathematical Modelling,

33, pp. 2582-2595, 2009. http://dx.doi.org/10.1016/j.apm.2008.07.023 Joint with I.W.Turner and M.N.Oqielat.

63. Numerical investigations of linear least squares methods for derivative estimation,

ANZIAM Journal, Electronic edition, 50, Proceedings of the 14th Biennial Computational Techniques and

Applications Conference, CTAC-2008, eds. Geoffry N. Mercer and A. J. Roberts .

http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1475 Joint with I.W.Turnaer and M.N.Oqielat.

64. Error Bounds for Least Squares Gradient Estimates. SIAM Journal on Scientific Computing. volume 32, no. 4

URL: http://link.aip.org/link/?SCE/32/2146 Joint with I. W. Turner, and M. Oqielat.

65. Water Droplet Movement on a Leaf Surface.Mathematics and Computers in Simulation

Volume 81, Issue 8, April 2011, Pages 1553-1571. Joint with M. Oqielat, I. Turner, and S. McCue.doi:10.1016/j.matcom.2010.09.003

66. Linear models for endocytic transformations from live cell imaging. ANZIAM Journal, Vol. 52 (2010) pp. C156-C171. Joint with Kevin Burrage, Rohan D. Teasdale, Nicholas A. Hamilton

67. "Minimising wave drag for free surface flow past a two-dimensional stern" To appear in Physics of Fluids . Joint with Osama Ogilat, Scott McCue, Ian Turner, and Benjamin Binder

**Successful Higher Degree
Candidates**

**1981 M. J. Flaherty**
"Time-frequency analysis of speech via modulated splines".

**1984 S.H.Masood **"Attenuation
and propagation of axisymmetric stress waves through rubber
cylinders"

**1988 J.A.R.Ball **"A dyadic
Green’s function for microstrip enclosures"

**1992 J.A.
Young** "On the optimal expansion of Electric Power
Systems"

**1995 M.Rezny **"Aspects of High
Performance Computing"

**1999 Pamela Burrage **"Runge-Kutta
Methods
for Stochastic Differential Equations"

**2000 D.G.Mayer **"Optimisation of
Agricultural Production Systems"

**2001
Monique C. Breslin **"Mathematical modelling applied to
long term climate analysis"

**2003 Brian Eadie**
"Prediction of Rock Fragmentation under Caving" joint with
E.T. Brown

**2003 Cristian A.Baloi **"Applications
of
Forecasting
and
Optimisation
in
the Australian National Electricity Market"

2009 Moa'ath Oqielat
"
Modelling
Water
Droplet
Movement
on a Leaf Surface" joint with I.W.Turner.

2011 Daryl Kempthorne

**Ph.D. thesis title**: Forced Convection
Problems and Some Related Integral Equations of the First Kind .
Supervised by A.F.Pillow and V.G.M.Hart. Degree approved in
January 1972. (An abstract appeared in Bull. Austral. Math.
Soc., **6**, 1972, p.471)

**Positions held**:

JULY 1959-NOVEMBER 1961. Performance Engineer for Joseph Lucas (Gas Turbine Equipment) Ltd., Birmingham. (Duties largely involved servomechanism analysis and analogue simulation of electronic and hydraulic aircraft engine control systems.)

NOVEMBER 1961-JUNE 1964. Assistant Lecturer in the Department of Mathematics at the University of Aston.

JULY 1964 - JANUARY 2003. Lecturer (1964-1973),
Senior Lecturer (1974 - 1993), and Reader (1994- 2003) in
Mathematics at the University of Queensland, Brisbane,
Queensland, Australia.

JANUARY 2003. Honorary Reader, Advanced
Computational Modelling Centre, University of Queensland

FEBRUARY 2004. Casual Lecturer,
MAB312. Queensland University of Technology, School
of Mathematics.

FEBRUARY 2004. Educational Consultant , QUT.

AUGUST 2004 - MARCH 2005 Acting Director, Advanced Computational Modelling Centre, University of Queensland.

JULY - SEPTEMBER 2005. Casual Lecturer, MAN771, Queensland University of Technology, School of Mathematics.

JULY - SEPTEMBER 2006. Casual Lecturer, MAN771, Queensland University of Technology, School of Mathematics.

FEBRUARY 2006 - present time. Ph. D. supervisor (casual R.A.), QUT

OCTOBER 2008 - DECEMBER 2009. Research Fellow, Institute for Molecular Bioscience, University of Queensland.

SEPTEMBER - OCTOBER 2010. Casual Lecturer, MAN771, Queensland University of Technology, Mathematics.

JANUARY 2010 - DECEMBER 2010 Honorary Research Fellow, Institute for Molecular Bioscience, University of Queensland.

MAY 2011 - Research Associate, Centre for Biological Information Technology, and Queensland Alliance for Agricultural and Food Innovation, University of Queensland

Queensland
University of Technology e-mail: j.belward@qut.edu.au

Mathematical Sciences, Faculty of Science and Technology,

Queensland University of Technology

GPO Box 2434

Brisbane, QLD, 4001

Australia

ph. +61 7 31381329