Current activities and positions 

Current Research Projects

Surface fitting with application to plant architectures

Stochastic algorithms for Optimisation.

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

Visualisation and modelling of integrated urban planning models

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 (since 1994)

1994 The development of an integrated software environment on a supercomputer platform for land management systems. $115000. ARC Collaborative Research Grant in partnership with the Queensland Department of Primary Industries. Joint Chief Investigator with Professor Keviin Burrage.

1995 & 1996 The development of an integrated software environment on a supercomputer platform for land management systems. $75000 (each year). ARC Collaborative Research Grant in partnership with the Queensland Department of Primary Industries. Joint Chief Investigator with Professor Kevin Burrage.

1995, 1996 and 1997. The effect of run-off on soil nutrients and water quality $40,000 (each year). Murray Darling Basin Authority. Joint with Professor Kevin Burrage.

1995 Simulation of Solid State Sintering. $23,000. UQ Enabling grant. Joint with G.B.Schaffer.

1996 The computer simulation of liquid phase sintering: a feasibility study. $19,000. ARC Small grant. Joint with G.B.Schaffer.

1996 Simulation of Solid State Sintering. $22,000. UQ Enabling grant. Joint with G.B.Schaffer.

2002 A feasibility study of Visualisation and modelling of integrated urban planning models   $45,000. UQ Enabling grant.

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

 
Books

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

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.

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

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. 48-53

J.A. Belward and M. Breslin. (A)

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. D.G. Mayer,

J.A.Belward and K. Burrage(A)

40. A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations. BIT,

1997, 37, pp771-780. P. Burrage, K. Burrage, and J.A. Belward.

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). J.A. Belward and J. Zhang. (A)

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

43. Tabu Search Not an optimal Choice for Models of Agricultural Systems. Agricultural Systems, 58, no.2, 243-251, 1998. . D.G.Mayer, J.A.Belward 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. D.G. Mayer, J.A.Belward, H.Widell, K. Burrage.

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

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, C Baloi, J.A.Belward,  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.

52.  Boundary treatment for Virtual Leaf Surfaces.  Refereed presentation accepted for GRAPHITE 2003, Melbourne

53  .Sensitivity Analysis Of The National Electricity Market,  joint with C. A. Baloi and M. Bulmer   Refereed proceedings of MODSIM 2003  International Conference on Modelling and Simulation Editor D.A.Post  Townsville Australia, July 2003  pp1685 - 1690.

54 . Genetic Unit Commitment Model In A Deregulated Power Energy Environment,  joint with C. A. Baloi and M. Bulmer   Refereed proceedings of MODSIM 2003  International Conference on Modelling and Simulation Editor D.A.Post  Townsville Australia, July 2003 pp1078 - 1083

55.  Multi - Area Unit Commitment In The National Electricity Market joint with C. A. Baloi and M. Bulmer   Refereed proceedings of MODSIM 2003  International Conference on Modelling and Simulation Editor D.A.Post  Townsville Australia, July 2003  pp1685 - 1690.pp1084 - 1089,

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 Professor E.T. Brown)

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

Ph.D. Candidates Currently Under Supervision

2002  Kevin Micallef  "Optimisation of Genotype and Management Combinations in Field Crops in Variable Environments".(joint with Professor G.Hammer, Dr Mark Dieters and Dr. D.G.Mayer)

Personal history

Citizenship and marital status: Australian and U.K. citizen. Married with two daughters and one son, all adult.

Educated at: Castle Bromwich Primary School (1943-48) and Saltley Grammar School (1948-1956), Birmingham, U.K. Obtained passes in 6 GCE `O' level subjects and 3 `A' level subjects.

Studied Mathematics: At the University of Birmingham, U.K. 1956-1959. Awarded First Class Honours in Mathematics.

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.

University of Queensland Address: Advanced Computational Modelling Centre The University of Queensland Queensland 4072 Australia

ph. 07 3365 7504 (office) 07 3365 6127 (Centre's Office) fax no. 07 3365 6136  mob. 0408763862

e-mail address: jab@maths.uq.edu.au Web page address: http://www.maths.uq.edu.au/~jab

Private web page:  Queensland Consortium for Scientific Computation and Mathematics (QCSCM)  

15 Fairweather St Kenmore Queensland 4069.  ph: 07 3378  8876