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Applied and Industrial Mathematics Research Group

Grants  

Publications of the group 2003-2007

Submitted and under review

  1. V.V. Gubernov, H.S. Sidhu, G.N. Mercer, Kolobov, A.V. and A.A. Polezhaev, 2007, "The effect of Lewis number variation on combustion waves in a model with chain-branching reaction'', J. Mathematical Chemistry.
  2. R.M. Pennifold, H.S. Sidhu and G.N. Mercer, 2007 "Investigation of the forced Bonhoeffer van der Pol equations via continuation and other methods'', J. ANZIAM (E.)
  3. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2007 "Combustion wave in a model with chain branching reaction and their stability'', Combustion Theory and Modelling.
  4. G.N. Mercer, S.I. Barry, D.O. Marlow, P. Kilby, 2007, "Investigating the effect of detection and classification range and aircraft dynamics on a simplified maritime surveillance scenario'', J. ANZIAM (E.)
  5. R. Hickson, S.I. Barry, K. Stokes, 2007, "Comparison weed spread models along river systems", J. ANZIAM (E.)
  6. R. Hickson, S.I. Barry , K. Stokes, 2007, "Modelling climate change and Lippia Spread in the Murray-Darling system", J. ANZIAM (E.)
  7. G.N. Mercer, 2007, "Determining the optimal shelterbelt porosity for the capture of spray drift'', Agriculture, Ecosystems and Environment.
  8. J.J. Sharples, 2007, "Review of formal methodologies for wind-slope correction of wildfire rate of spread'', International Journal of Wildland Fire.
  9. K.J. Hennessy, P.H. Whetton, K. Walsh, I.N. Smith, J.M. Bathols, M.F. Hutchinson, J.J. Sharples, 2007, "Climate change impacts on snow conditions in mainland Australia and adaptation at ski resorts through snowmaking.'' Climate Research.

    10. 2007

  10. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2007, "Analysing combustion waves in a model with chain branching", J. ANZIAM (E.) To appear.
  11. S.D. Watt, H.S. Sidhu, M.I. Nelson and A.K. Ray, 2007, "Analysis of a model for ethanol production through continuous fermentation:, J. ANZIAM (E.) To appear.
  12. D. Marlow, P. Kilby, J. Looker and G.N. Mercer, 2007, "The travelling salesman problem in maritime surveillance - Techniques, algorithms and analysis'', International Congress on Modeling and Simulation (MODSIM07) To appear.
  13. M.I. Nelson and H.S. Sidhu, 2007, "Analysis of the activated sludge model (number 1), J. ANZIAM (E.) To appear.
  14. G.N. Mercer and H.S. Sidhu, 2007, "Mathematical modelling of the effect of fire exposure on a new type of protective clothing", J. ANZIAM (E.) To appear.
  15. N.A. Ansari, I. Towers, Z. Jovanoski and H.S. Sidhu, 2007, "A semi-classical approach to two-frequency solitons in a three-level cascade atomic system", Optics Communications , 274, 66-73.
  16. G.N. Mercer and R.O. Weber, 2007, Modeling heating effects, in Plant Disturbance Ecology , edited by E.A. Johnson and K. Miyanishi Academic Press.
  17. L.A. Sidhu, E.A. Catchpole and P. Dann, 2007, "Mark-recapture-recovery modeling and age-related survival in Little Penguins Eudyptula minor'' The Auk , 124(3), 815-822.
  18. H.S. Sidhu, M.I. Nelson, X.D. Chen, 2007, "A simple spatial model for self-heating compost piles", J. ANZIAM (E.) , 48, C135-C150
  19. J.F. Caunce, S.I. Barry and G.N. Mercer, 2007, "A spatially dependent model for washing wool'', Applied Mathematical Modelling . To appear. DOI Link: http://dx.doi.org/10.1016/j.apm.2006.12.010
  20. J.J. Sharples, J.C.V. Pezzey, 2007, "Expectations of linear functions with respect to truncated multinormal distributions – with applications for uncertainty analysis in environmental modelling''. Environmental Modelling and Software , 22, 915-923.
  21. H.S. Sidhu, M.I. Nelson, T. Luangwilai and X.D. Chen, 2007, "Mathematical analysis of the self-heating process in compost piles", Chemical Product and Process Modelling , 2(2), 8, 1-12.
  22. H.S. Sidhu, S.D. Watt and M.I. Nelson, 2007, "Performance comparison between a two-reactor cascade and a single reactor in an activated slude wastewater treatment process", Int. J. Environ. Waste Manag. Accepted April 2007. In press.
  23. B. Barnes, H.S. Sidhu and D.M. Gordon, 2007, "Host gastro-intestinal dynamics and the frequency of antimicrobial production by Escherichia coli", Microbiology, accepted May 2007.
  24. M.I. Nelson, X.D. Chen and H.S. Sidhu, 2007, "Reducing the emission of pollutants in industrial wastewater through the use of membrane bioreactors", Aspects of Mathematical Modelling (Ed. R. Hosking and G. Wake). Birkhauser (Accepted April 2007).
  25. S.I. Barry, J. Chapman, 2007, "Predicting university performance: how diagnostic tests, school results and high school courses affect university performance", J. ANZIAM (E.), to appear.
  26. S.I. Barry , J.F. Caunce, 2007, "Exact and Numerical Solutions to a Stefan Problem with Two Moving Boundaries'', Applied Mathematical Modelling . To appear.
  27. J.F. Caunce, S.I. Barry , 2007, "Swelling problems with two moving boundaries'' , J. ANZIAM (E.), to appear.
  28. J.F. Caunce, S.I. Barry, G.N. Mercer, and T.R. Marchant, 2007, "Numerical simulation of contaminant flow in a wool scour"', Mathematical and Computer Modelling , 46, 499-512.
  29. G.N. Mercer, 2007, "A simple diffusion model of the effect of dropet size and spread area on foliar uptake of hydrophilic compounds"', Pesticide Biochemistry and Physiology , 88, 128-133. DOI Link: http://dx.doi.org/10.1016/j.pestbp.2006.10.004
  30. G.N. Mercer and H.S. Sidhu, 2007, "Two continuous methods for determining a minimal risk path through a minefield'', J. ANZIAM (E.) , 48, C293-C306. URL: http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/56
  31. H.S. Sidhu and M.I. Nelson, 2007, "Mathematical analysis of the activated sludge process for domestic wastewater treatment", Proc. 35th Australasian Chem. Eng. Conf., CHEMECA 2007, accepted.
  32. M.I. Nelson, H.S. Sidhu and X.D. Chen, 2007, "A spatially uniform model of self-heating in compost piles", Proc. 35th Australasian Chem. Eng. Conf., CHEMECA 2007, accepted.
  33. S.D. Watt, H.S. Sidhu and M.I. Nelson, 2007, "Improving ethanol production through continuos fermentation", Proc. 35th Australasian Chem. Eng. Conf., CHEMECA 2007, accepted.
  34. G.N. Mercer and H.S. Sidhu, 2007, "Modelling heat transport in a new type of protective clothing during fire exposure", Proc. 35th Australasian Chem. Eng. Conf., CHEMECA 2007, accepted.
  35. G.N. Mercer, W. Sweatman, A. Elvin, S. Harper, G. Fulford, J.F. Caunce and R. Pennifold, 2007, "Process driven models for spray retention by plants'', Proceedings of the 2006 Mathematics in Industry Study Group, edited by G.C. Wake.
  36. M.I. Nelson and H.S. Sidhu, 2007, "Reducing the emission of pollutants in food processing wastewaters", Chem. Eng. Process. , 46, 429-436.
  37. H.S. Sidhu, S.D. Watt, M.I. Nelson Nelson and A.K. Ray, 2007, "Performance improvement and dynamical behaviour analysis of a cascade of two CSTRs", Int. J. Chem. Reactor Eng. , 5 (A13), 1-13.
  38. S.D. Watt and R.O. Weber, 2007, "Drying out vegetation: how fast does the moisture go?'' J. ANZIAM (E) , 47, C603-C614.

    39. 2006

  39. N.A. Ansari, Z. Jovanoski, H.S. Sidhu and I. Towers, 2006, "Non-linear interation of two intense fields with with a three-level atomic system", J. Nonlinear Optical Physics and Materials , 15, 401-414.
  40. B. Barnes, H.S. Sidhu and S.H. Roxburgh, 2006, "A model integrating patch dynamics, competing species and the intermediate disturbance hypothesis", Ecological Modelling , 194, 414-420.
  41. J.F. Caunce, S.I. Barry , G.N. Mercer, T.R. Marchant, 2006, "Modelling a wool scour bowl'', J. ANZIAM (E.) , 47 , C19--C33. URL: http://anziamj.austms.org.au/V47EMAC2005/Caunce3/
  42. J.F. Caunce, S.I. Barry , G.N. Mercer, 2006, "A simple mathematical model of wool scouring'', J. ANZIAM (E.) , 47 , C34--C47. URL: http://anziamj.austms.org.au/V47EMAC2005/Caunce2/
  43. I. Goldfarb and R.O. Weber, 2006, "Thermal explosion: modern developments in modelling, computation and applications'' J Eng. Maths , 56, 101-104.
  44. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2006, "Combustion waves in a model with chain branching reaction", J. Math. Chem. , 39(1), 1-14. DOI Link: http://dx.doi.org/10.1007/s10910-005-9000-x
  45. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2006, "Detecting Bogdanov-Takens bifurcation of traveling waves in reaction-diffusion systems", Int. J. Bif. and Chaos , 16(3), 749-755. DOI Link: http://dx.doi.org/10.1142/S0218127406015131
  46. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2006 "Generalized compound matrix method", Appl. Maths. Let. , 19, 458-463. DOI Link: http://dx.doi.org/10.1016/j.aml.2005.07.002
  47. G.N. Mercer and H.S. Sidhu, 2006 "A heat transfer model describing burns to the skin from automotive airbags", J. ANZIAM (E.) , 47, C339-C354. URL: http://anziamj.austms.org.au/V47EMAC2005/Mercer/
  48. M.I. Nelson and H.S. Sidhu, 2006, "Evaluating the performance of a cascade of two bioreactors'', Chem. Eng. Sci., 61, 3159-3166.
  49. H.S. Sidhu, G.N. Mercer, M.J. Sexton, N.A. Ansari and Z. Jovanoski, 2006, "Optimal path trajectories in a threat environment'', Journal of Battlefield Technology , 9, 33-39. URL: http://www.argospress.com/jbt/
  50. H.S. Sidhu, M.I. Nelson, N.A. Ansari and X.D. Chen, 2006, "Mathematical analysis of self-heating in compost piles", Australasian Chemical Engineering Conference (CHEMECA 2006).
  51. H.S. Sidhu, S.D. Watt and M.I. Nelson, 2006, "Activated sludge wastewater treatment process: performance comparison between a two-reactor cascade and a single reactor", Australasian Chemical Engineering Conference (CHEMECA 2006).
  52. S.D. Watt, H.S. Sidhu, and M.I. Nelson, 2006, "Analysis of a model for the treatment of wastewater by the activated sludge process", J. ANZIAM (E.) Part C, 1 - 18.
  53. R.O.Weber and J.W.Dold, 2006, "Linking Landscape Fires and Local Meteorology - A Short Review'' JSME International Journal (Series B) , 49, 590-593.
  54. R.O. Weber and H.S. Sidhu, 2006, "A dynamical systems model for fireline growth with suppression", J. ANZIAM (E.) Part C , C462-474.
  55. R.O. Weber, H.S. Sidhu, D.M. Sawade, G.N. Mercer and M.I. Nelson, 2006, "Using the method of lines to determine critical conditions for thermal ignition", J. Engng. Math. , 56, 185-200. DOI Link: http://dx.doi.org/10.1007/s10665-006-9059-9
  56. R. McRae, R.O. Weber, J.J. Sharples, 2006, "Lessons from the January 2003 fires: advancing bushfire risk management in the high country.'' Proceedings of the Bushfire 2006 Conference. 6-9 June 2006. Brisbane.
  57. K.G. Tolhurst, W.R. Anderson and J. Gould, 2006, Woody fuel consumption experiments in an undisturbed forest. Vth International Conference in Forest Fire Research. Figuera da Foz, Portugal.
  58. A. Slijepcevic and W.R. Anderson, 2006, Hourly variation in forest fuel moisture in sclerophyll forests in Tasmania. Vth International Conference in Forest Fire Research. Figuera da Foz, Portugal.
  59. W.R. Anderson, E. Pastor, B. Butler, E. Catchpole, J. Dupuy, P. Fernandes, M. Guijarro, J. Mendes-Lopes and J. Ventura, 2006, Evaluating models to estimate flame characteristics for free-burning fires using laboratory and field data. Vth International Conference in Forest Fire Research. Figuera da Foz, Portugal

    60. 2005

  60. B. Barnes and H.S. Sidhu, 2005, "Plant-herbivore models, where more grass means fewer grazers", Bulletin. Math. Biology , 67, 33-55.
  61. J.W. Dold, R.O. Weber, A.M. Gill, R. McRae and N. Cooper, 2005, "Unusual Phenomena in an Extreme Bushfire'', Proc. 5th Asia-Pacific Conference on Combustion , 309-312.
  62. J.W. Dold, J.B. Greenberg, R.O. Weber, A. Zinoviev and G. Sivashinsky, 2005, "A Porous-Medium Model for Vegetation in Bushfires'', Proc. 5th Asia-Pacific Conference on Combustion, 289-292.
  63. J.W. Dold, G. Sivashinksy and R.O. Weber, 2005, "Onset of flow-induced fingering in bushfires'', Proc. 5th Asia-Pacific Conference on Combustion, 177-180.
  64. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2005, "The effect of ambient temperature on the propagation of nonadiabatic combustion waves", J. Math. Chem., 37, 149-162. DOI Link: http://dx.doi.org/10.1007/s10910-004-1447-7
  65. G.N. Mercer and A.J. Roberts, 2005, Predicting the off-site deposition of spray drift from horticultural spraying through porous barriers on soil and plant surfaces, in Proceedings of the 2005 Mathematics in Industry Study Group, edited by G.C. Wake, 27-52. URL: http://www.maths-in-industry.org/46/
  66. J.J. Sharples, M.F. Hutchinson, and D.R. Jellett, 2005, "The horizontal scale of elevation dependence of monthly Australian precipitation.'' Journal of Applied Meteorology 44, 1850-1865.
  67. J.J. Sharples, 2005, "Local existence of quasispherical space-time initial data.'' Journal of Mathematical Physics 46, 052501.
  68. G.N. Mercer and H.S. Sidhu, 2005, "Modeling thermal burns due to airbag deployment", Burns , 31, 977-980
  69. M.I. Nelson and H.S. Sidhu, 2005, "Analysis of a chemostat model with variable yield coefficient", J. Math. Chem. , 38, 605-615
  70. H.S. Sidhu and M.I. Nelson, 2005, "Behaviour of an elementary oxidation reaction in a semi-batch reactor", Chem. Eng. J. 1109, 31-39.
  71. H.S. Sidhu and M.I. Nelson, 2005, "Improving bioreactor performance:Are two CSTBs always better than one?'', Australasian Chemical Engineering Conference (CHEMECA 2005).
  72. S. Dovers, M.F. Hutchinson, D. Lindenmayer, A. Manning, F. Mills, P. Perkins, J.J. Sharples and I. White, 2005, "Uncertainty, complexity, and the environment''. In: Proceedings, The Challenge of Uncertainty: Learning from Diverse Disciplinary and Practice Approaches , Canberra, 12-13 April 2005.
  73. J.J. Sharples and M.F. Hutchinson, 2005, "Spatio-Temporal Analysis Of Climatic Data Using Additive Regression Splines.'' Proceedings of the International Congress on Modelling and Simulation 2005 . Zerger, A. & Argent, R.M. (Eds), 1695-1701.

    74. 2004

  74. J.W. Dold, J. Daou and R.O. Weber, 2004, "Reactive-Diffusive Stability of Premixed Flames with Modified Zeldovich-Linan Kinetics'', Simplicity, Rigour and Relevance in Fluid Mechanics , edited by F.J. Higuera, J. Jimenez and J.M.Vega. CIMNE, Barcelona.
  75. V. Gubernov, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2004, "Evans function stability of nonadiabatic combustion waves'', Proc. Roy. Soc. Ser. A. , 460, 2415-2435.
  76. A. McIntosh, R.O. Weber and G.N. Mercer, 2004, "Non-adiabatic combustion waves for general Lewis numbers: Wave speed and extinction conditions", J. ANZIAM , 46, 1-16.
  77. M.I. Nelson and H.S. Sidhu, 2004, "Bifurcation phenomena for an oxidation reaction in a continuously stirred tank reactor. II Diabatic operation", J. ANZIAM ,45, 303-326.
  78. M.I. Nelson and H.S. Sidhu, 2004, "Flammability limits of an oxidation reaction in a batch reactor. II The Rychly mechanism", J. Math. Chem. ,35, 119-129.
  79. O. Giminez, A. Viallefont, E.A. Catchpole, R. Choquet and B.J.T. Morgan, 2004, "Methods for investigating parameter redundancy''. Animal Biodiversity and Conservation , 27(1), 561-572.
  80. E.A. Catchpole, Y. Fan, B.J.T. Morgan, T.H. Clutton-Brock and T. Coulson, 2004, "Sexual dimorphism, survival and dispersal in red deer''. J Agric., Exper. and Biol. Statistics, 9, 1-26.
  81. E.A. Catchpole, B.J.T. Morgan and T. Coulson, 2004, "Conditional methodology for individual case history data''. Applied Statistics, 53, 123-131.
  82. J.J. Sharples and M.F. Hutchinson, 2004, "Multivariate spatial smoothing using additive regression splines.'' ANZIAM Journal (E) 45, C676-C692.
  83. J.J. Sharples, 2004, "Linear and quasilinear parabolic equations in Sobolev space.'' Journal of Differential Equations 202, 111-142.

    84. 2003

  84. J.W. Dold, R.O. Weber, R.W. Thatcher, A.A. Shah, 2003, "Flame Balls with Thermally Sensitive Intermediate Kinetics, Combust. Theory Modelling , 7, 175-203.
  85. V. Gubernov, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2003, "Evans function stability of combustion waves'', SIAM J. Appl. Maths, 63, 1259-1275.
  86. V. Gubernov, G.N. Mercer, H.S. Sidhu, R.O. Weber, 2003, "On the Evans Function Calculation Of The Stability Of Combustion Waves'', Australian Mathematical Society Gazette, 29, 155-163.
  87. V. Gubernov, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2003, "Numerical methods for the travelling wave solutions in reaction-diffusion equations'', J. ANZIAM (E.), Part C, 271-289.
  88. S.C. Barry, S.P. Brooks, E.A. Catchpole and B.J.T. Morgan, 2003, "The analysis of ring-recovery data using random effects''. Biometrics, 59, 54-65.
  89. C.J. Hearn and H.S. Sidhu, 2003, "Stommel transitions in shallow coastal basins", Continental Shelf Research, 23, 1071-1085.
  90. M.I. Nelson and H.S. Sidhu, 2003, "Efficient means of determining product yield in reactors", Australasian Chemical Engineering Conference (CHEMECA 2003).
  91. M.I. Nelson and H.S. Sidhu, 2003, "Improving the productivity of bioreactors using natural oscillations", Proc. 6th Engng. Maths. Appl. Conf., EMAC 2003, 163-168.
  92. M.J. Sexton, H.S. Sidhu and M.I. Nelson, 2003, "Numerical investigation of a reaction in a batch reactor: Flammability limits", J. ANZIAM (E.), Part C, 687-704.
  93. H.S. Sidhu, N.A. Ansari, G.N. Mercer, R.O. Weber and S.D. Watt, 2003, "Stagnation point flows: two dimensional solutions and its one dimensional approximation", Proc. 6th Engng. Maths. Appl. Conf., EMAC 2003, 247-251.
  94. S.D. Watt, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2003, "The thermal ignition problem in a cube'', J. ANZIAM (E.), Part C, 820-835.
  95. R.O. Weber, N.A. Ansari, G.N. Mercer and H.S. Sidhu, 2003, "Multiple flame balls", Proc. Aust. Symp. on Combust.
  96. J.J. Sharples and M.F. Hutchinson, 2003, "The horizontal scale of topographic dependence of monthly Australian precipitation.'' Proceedings of the International Congress on Modelling and Simulation 2003. Post, D.A. (Ed) Volume 1, 130-135.