Curriculum Vitae   Dr. John A. Belward,

19th November 2012

founder of the Queensland Consortium for Mathematics and Scientific Computation

Contact details:   e-mail  Web address:

Current activities and positions

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

Teaching Interests and Projects

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 Y0(z). Computers Math. Applic. 30, pp 5-14, 1995. (Joint work with J.Zhang).

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. Joint with D.G.Mayer and K.Burrage.

44. Survival of the fittest - genetic algorithms versus evolution strategies in the optimization of systems models. Agricultural Systems, 60, no. , pp113-122, 1999. Joint with D.G. Mayer, H.Widell, and K. Burrage.

45. Fractal Dimensions for rainfall time series. Mathematics and Computers in Simulation, 48, nos. 4-6, pp437-446, 1999. Joint with M.C.Breslin .

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.  Joint with D.G. Mayer

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.

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

56. Derivation of L-system models from measurements of biological branching structures using genetic algorithms.   In T. Hendtlass, M. Ali (eds.),
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.
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.
 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.  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 .  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: 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"

2004 Birgit Loch "Surface fitting for modelling the development of plant leaves"  joint with J.S.Hanan.

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

2011 Osama Ogilat    "Stern waves behind flat smooothly curved plates" (first draft revision).

Ph.D. Candidates Currently Under Supervision

2011 Daryl Kempthorne   
" Modelling spray deposition"

Personal history

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.

JUNE 2004 - present time  Adjunct Professor,    Queensland University of Technology

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

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:

Queensland University of Technology address:

Mathematical Sciences, Faculty of Science and Technology,
Queensland University of Technology
GPO Box 2434
Brisbane, QLD, 4001

ph. +61 7 31381329

University of Queensland e-mail address: