49. Mathematical Sciences


Title49. Mathematical Sciences
ParentANZSRC Field of Research

Latest research outputs

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Understanding maths: basic mathematics explained (4th edition) by Graham Lawler
Galligan, Linda. 2014. "Understanding maths: basic mathematics explained (4th edition) by Graham Lawler." Australian Mathematics Teacher. 70 (1), pp. 31-32.

Book review

Statistics on spotlight: reflections on World Statistics Day
Khan, Shahjahan. 2016. "Statistics on spotlight: reflections on World Statistics Day." Journal of Islamic Countries Society of Statistical Sciences. 2 (2), pp. 175-184.

Article

Transformation of internal waves at the bottom ledge
Churaev, E. N., Semin, S. V. and Stepanyants, Y. A.. 2014. "Transformation of internal waves at the bottom ledge." 19th Australasian Fluid Mechanics Conference (AFMC 2014). Melbourne, Australia 08 - 11 Dec 2014 Australia.

Paper

Trade-off between Type I error and power: a requirement of robust technique for analysing ordinal outcomes
Biswas, Raaj, King, Rachel and Kabir, Enamul. 2016. "Trade-off between Type I error and power: a requirement of robust technique for analysing ordinal outcomes." Australian Statistical Conference 2016. Canberra, Australia 05 - 09 Dec 2016 Australia.

Poster

Numerical solution for the fluid flow between active elastic walls
Ahmed, F. Z., Strunin, D. V., Mohammed, M. G. and Bhanot, R. P.. 2016. "Numerical solution for the fluid flow between active elastic walls." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 57, pp. C221-C234. https://doi.org/10.21914/anziamj.v57i0.10453

Article

A sub-catchment based approach for modelling nutrient dynamics and transport at a river basin scale
Alam, Md Jahangir and Dutta, Dushmanta. 2016. "A sub-catchment based approach for modelling nutrient dynamics and transport at a river basin scale." Water Resources Management. 30 (14), pp. 5455-5478. https://doi.org/10.1007/s11269-016-1500-x

Article

On the stability of the cylindrical shell under the axial compression with use of non-classical theories of shells
Ermakov, A. M.. 2012. "On the stability of the cylindrical shell under the axial compression with use of non-classical theories of shells." Holzapfel, Gerhard (ed.) 8th European Solid Mechanics Conference (ESMC-2012) . Graz, Austria 09 - 13 Jul 2012 Graz, Austria.

Paper

Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells
Ermakov, A. M.. 2008. "Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells." Russian Journal of Biomechanics. 13 (1), pp. 47-58.

Article

Tonometric estimation of mechanical properties of a cornea and sclera
Voronkova, E., Bauer, S. and Ermakov, A.. 2009. "Tonometric estimation of mechanical properties of a cornea and sclera." 2009 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2009). Fort Lauderdale, United States of America 03 - 07 May 2009 United States. Association for Research in Vision and Ophthalmology (ARVO).

Paper

Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye
Bauer, S. M., Ermakov, A. M., Kotliar, K. E. and Voronkova, E. B.. 2010. "Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye." 2010 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2010). Fort Lauderdale, United States of America 02 - 06 May 2010 Association for Research in Vision and Ophthalmology (ARVO).

Paper

Strongly overdamped dissipative particle dynamics for fluid-solid systems
Phan-Thien, N., Mai-Duy, N., Khoo, B. C. and Duong-Hong, D.. 2016. "Strongly overdamped dissipative particle dynamics for fluid-solid systems." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 40 (13-14), pp. 6359-6375. https://doi.org/10.1016/j.apm.2016.01.051

Article

Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design
Ho, Phuc L. H., Le, Canh V. and Tran-Cong, Thanh. 2016. "Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design." Engineering Analysis with Boundary Elements. 71, pp. 92-100. https://doi.org/10.1016/j.enganabound.2016.07.010

Article

The models of nonclassical anisotropic spherical shells
Ermakov, A.. 2012. "The models of nonclassical anisotropic spherical shells." Pecherski, Ryszard, Rojek, Jerzy and Kowalczyk, Piotr (ed.) 38th Solid Mechanics Conference. Warsaw, Poland 27 - 31 Aug 2012 Warsaw, Poland.

Paper

Buckling of a spherical segment under the flat base load
Bauer, Svetlana and Ermakov, Andrei. 2013. "Buckling of a spherical segment under the flat base load." Lellep, J. and Puman, E. (ed.) 2nd International Conference on Optimization and Analysis of Structures (OAS 2013). Tartu, Estonia 25 - 27 Aug 2013 Tartu, Estonia.

Paper

Description of vortical flows of incompressible fluid in terms of quasi-potential function
Ermakov, A. M. and Stepanyants, Y. A.. 2016. "Description of vortical flows of incompressible fluid in terms of quasi-potential function." 20th Australasian Fluid Mechanics Conference (AFMC 2016). Perth, Australia 05 - 08 Dec 2016 Australia.

Paper

Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes
Bauer, S. M., Ermakov, A. M., Kashtanova, S. V. and Morozov, N. F.. 2011. "Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes." Vestnik: Mathematics (St. Petersburg University). 44 (1), p. Article 13. https://doi.org/10.3103/S1063454111010055

Article

Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells
Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells." Altenbach, Holm and Eremeyev, Victor A. (ed.) Shell-like structures. Heidelberg, Germany. Springer. pp. 519-530

Edited book (chapter)

Nonclassical models in the shell theory with applications to multilayered nanotubes
Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Nonclassical models in the shell theory with applications to multilayered nanotubes." Papadrakakis, Manolis, Fragiadakis, Michalis and Plevris, Vagelis (ed.) 3rd ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011). Corfu, Greece 25 - 28 May 2011 Dordrecht, Netherlands. https://doi.org/10.1007/978-94-007-6573-3

Paper

Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells
Ermakov, Andrei M.. 2013. "Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells." Lecture Notes in Computer Science (Book series). 8236, pp. 279-286. https://doi.org/10.1007/978-3-642-41515-9_30

Article

Potential international markets for GM reproductive frost management technologies for wheat: cost-benefit analysis - final technical report
Mushtaq, Shahbaz, Christopher, Mandy and An-Vo, Duc-Anh. 2016. Potential international markets for GM reproductive frost management technologies for wheat: cost-benefit analysis - final technical report. Australia. Grains Research and Development Corporation.

Technical report

Mapping city environments using a single hand-held digital camera
Scarmana, Gabriel. 2010. "Mapping city environments using a single hand-held digital camera." 24th International Federation of Surveyors International Congress (FIG 2010): Facing the Challenges - Building the Capacity. Sydney, Australia 11 - 16 Apr 2010 Sydney, Australia.

Paper

Development and testing of a micro wind tunnel for on-site wind erosion simulations
Strong, Craig L., Leys, John F., Raupach, Mike R., Bullard, Joanna E., Aubault, Helene A., Butler, Harry J. and McTainsh, Grant H.. 2016. "Development and testing of a micro wind tunnel for on-site wind erosion simulations." Environmental Fluid Mechanics. 16 (5), pp. 1065-1083. https://doi.org/10.1007/s10652-016-9478-8

Article

A mathematical model for the proliferation, accumulation and spread of pathogenic proteins along neuronal pathways with locally anomalous trapping
Angstmann, C. N., Donnelly, I. C., Henry, B. I. and Langlands, T. A. M.. 2016. "A mathematical model for the proliferation, accumulation and spread of pathogenic proteins along neuronal pathways with locally anomalous trapping." Mathematical Modelling of Natural Phenomena (MMNP). 11 (3), pp. 142-156. https://doi.org/10.1051/mmnp/20161139

Article

Interaction of solitons with long waves in a rotating fluid
Ostrovsky, L. A. and Stepanyants, Y. A.. 2016. "Interaction of solitons with long waves in a rotating fluid." Physica D: Nonlinear Phenomena. 333, pp. 266-275. https://doi.org/10.1016/j.physd.2016.02.008

Article

Multiscale stochastic simulation of transient complex flows
Nguyen, Hung Quoc. 2016. Multiscale stochastic simulation of transient complex flows. PhD Thesis Doctor of Philosophy. University of Southern Queensland.

PhD Thesis

A review of stochastic description of the turbulence effect on bubble-particle interactions in flotation
Nguyen, Anh V., An-Vo, Duc-Anh, Tran-Cong, Thanh and Evans, Geoffrey M.. 2016. "A review of stochastic description of the turbulence effect on bubble-particle interactions in flotation." International Journal of Mineral Processing. 156, pp. 75-86. https://doi.org/10.1016/j.minpro.2016.05.002

Article

RBFN stochastic coarse-grained simulation method: Part I - Dilute polymer solutions using bead-spring chain models
Nguyen, H. Q., Tran, C.-D. and Tran-Cong, T.. 2015. "RBFN stochastic coarse-grained simulation method: Part I - Dilute polymer solutions using bead-spring chain models." CMES Computer Modeling in Engineering and Sciences. 105 (5), pp. 399-439. https://doi.org/10.3970/cmes.2015.105.399

Article

Generalized continuous time random walks, master equations, and fractional Fokker-Planck equations
Angstmann, C. N., Donnelly, I. C., Henry, B. I., Langlands, T. A. M. and Straka, P.. 2015. "Generalized continuous time random walks, master equations, and fractional Fokker-Planck equations." SIAM Journal on Applied Mathematics. 75 (4), pp. 1445-1468. https://doi.org/10.1137/15M1011299

Article

Estimating the value of conjunctive water use at a system-level using nonlinear programing model
An-Vo, Duc-Anh, Mushtaq, Shahbaz and Reardon-Smith, Kathryn. 2015. "Estimating the value of conjunctive water use at a system-level using nonlinear programing model." Journal of Economic and Social Policy. 17 (2), pp. [163]-[182].

Article

Heat transfer during cavitation bubble collapse
Qin, Zongyi and Alehossein, Habib. 2016. "Heat transfer during cavitation bubble collapse." Applied Thermal Engineering. 105, pp. 1067-1075. https://doi.org/10.1016/j.applthermaleng.2016.01.049

Article

Using 1D-IRBFN method for solving high-order nonlinear differential equations arising in models of active-dissipative systems
Strunin, Dmitry V., Ngo-Cong, Duc and Bhanot, Rajeev. 2015. "Using 1D-IRBFN method for solving high-order nonlinear differential equations arising in models of active-dissipative systems." Idelsohn, Sergio R., Sonzogni, Victorio, Coutinho, Alvaro, Cruchaga, Marcela, Lew, Adrian and Cerrolaza, Miguel (ed.) 1st Pan-American Congress on Computational Mechanics, (PANACM 2015) in conjunction with the XI Argentine Congress on Computational Mechanics (MECOM 2015). Buenos Aires, Argentina 27 - 29 Apr 2015 Barcelona, Spain.

Paper

An improvement technique for bi-directional evolutionary structural optimisation (BESO) method
Ghabraie, Kazem. 2015. "An improvement technique for bi-directional evolutionary structural optimisation (BESO) method." Li, Qing, Steven, Grant P. and Zhang, Zhongpu (Leo) (ed.) 11th World Congress on Structural and Multidisciplinary Optimisation: Advances in Structural and Multidisciplinary Optimization (WCSMO-11). Sydney, Australia 07 - 12 Jun 2015

Paper

Theoretical treatment of disc cutters subjected to general cutting forces
Serati, Mehdi, Alehossein, Habib and Williams, David J.. 2016. "Theoretical treatment of disc cutters subjected to general cutting forces." Journal of Engineering Mathematics. 100 (1), pp. 1-25. https://doi.org/10.1007/s10665-015-9839-1

Article

Negative energy waves in shear flow with a linear profile
Maissa, Philippe, Rousseaux, Germain and Stepanyants, Yury. 2016. "Negative energy waves in shear flow with a linear profile." European Journal of Mechanics B: Fluids. 56, pp. 192-199. https://doi.org/10.1016/j.euromechflu.2016.01.003

Article

Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion
Grimshaw, Roger, Stepanyants, Yury and Alias, Azwani. 2016. "Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 472 (2185), pp. 1-20. https://doi.org/10.1098/rspa.2015.0416

Article

ACODE benchmarks for Technology Enhanced Learning (TEL): findings from a 24 university benchmarking exercise regarding the benchmarks' fitness for purpose and capacity to generate useful quality assurance information
Sankey, Michael and Padro, Fernando. 2015. "ACODE benchmarks for Technology Enhanced Learning (TEL): findings from a 24 university benchmarking exercise regarding the benchmarks' fitness for purpose and capacity to generate useful quality assurance information." International Network for Quality Assurance Agencies in Higher Education Biennial Conference (INQAAHE 2015): Changing Landscape of higher Education: New Demands on Quality Assurance. Chicago, United States 30 Mar - 03 Apr 2015 Barcelona, Spain.

Poster

Economic impact of frost in the Australian wheatbelt
An-Vo, D.-A., Mushtaq, S., Zheng, B., Christopher, J. T., Chapman, S. and Chenu, K.. 2015. "Economic impact of frost in the Australian wheatbelt." Tropical Agriculture Conference 2015: Meeting the Productivity Challenge in the Tropics (TropAg2015). Brisbane, Australia 16 - 18 Nov 2015

Poster

Simulation of flow of fibre suspensions using an IRBF-BCF based multiscale approach
Nguyen, H. Q., Tran, C.-D. and Tran-Cong, T.. 2015. "Simulation of flow of fibre suspensions using an IRBF-BCF based multiscale approach." Solnordal, C. B., Liovic, P., Delaney, G. W., Cummins, S. J., Schwarz, M. P. and Witt, P. J. (ed.) 11th International Conference on Computational Fluid Dynamics in the Minerals and Process Industries (CFD2015). Melbourne, Australia 07 - 09 Dec 2015 Australia.

Paper

Modelling cohesive, frictional and viscoplastic materials
Alehossein, Habib. 2015. "Modelling cohesive, frictional and viscoplastic materials." 13th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015). Rhodes, Greece 23 - 29 Sep 2015

Paper

Improving the quality of experimental research in civil engineering by employing statistical design of experiment: a case study in developing composite hybrid sandwich panel
Fajrin, Jauhar, Zhuge, Yan, Bullen, Frank and Wang, Hao. 2015. "Improving the quality of experimental research in civil engineering by employing statistical design of experiment: a case study in developing composite hybrid sandwich panel." Zulkifli, Fitri Yuli and Suwartha, Nyoman (ed.) 14th International conference on QIR (Quality in Research). Lombok, Indonesia 10 - 13 Aug 2015 Lombok, Indonesia.

Paper