49. Mathematical Sciences


Title49. Mathematical Sciences
ParentANZSRC Field of Research

Latest research outputs

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A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation
Tien, C. M. T., Thai-Quang, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2014. "A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation." Applied Mechanics and Materials. 553, pp. 138-143. https://doi.org/10.4028/www.scientific.net/AMM.553.138

Article

A Galerkin approach incorporating integrated radial basis function networks for the solution of 2D biharmonic equations
Mai-Duy, Nam, Ho-Minh, D. and Tran-Cong, Thanh. 2009. "A Galerkin approach incorporating integrated radial basis function networks for the solution of 2D biharmonic equations." International Journal of Computer Mathematics. 86 (10-11), pp. 1746-1759. https://doi.org/10.1080/00207160802647365

Article

A Galerkin-RBF approach for the streamfunction-vorticity-temperature formulation of natural convection in 2D enclosured domains
Ho-Minh, D., Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "A Galerkin-RBF approach for the streamfunction-vorticity-temperature formulation of natural convection in 2D enclosured domains." CMES Computer Modeling in Engineering and Sciences. 44 (3), pp. 219-248. https://doi.org/10.3970/cmes.2009.044.219

Article

A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils
Ngo-Cong, D., Tien, C.M.T., Nguyen-Ky, T., An-Vo, D.-A., Mai-Duy, N., Strunin, D. V. and Tran-Cong, T.. 2017. "A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils." International Journal for Numerical Methods in Fluids. 85 (7), pp. 404-429. https://doi.org/10.1002/fld.4386

Article

A geometric model for estimating the volume and surface area of apples
Scarmana, Gabriel, McDougall, Kevin and Stepanyants, Yury. 2020. "A geometric model for estimating the volume and surface area of apples." Smart Surveyors for Land and Water Management (2020). Amsterdam, Netherlands 10 - 14 May 2020 Copenhagen, Denmark.

Paper

A heuristic model: the case of challenges facing Chinese students studying in Australia
Nooriafshar, Mehryar and Zhou Peng, Joe. 2014. "A heuristic model: the case of challenges facing Chinese students studying in Australia ." de Guzman, Abraham (ed.) 1st International Summer Conference on Business and Economics Research (APUGSM 2014). Beppu, Japan 25 - 26 Jul 2014 Beppu, Japan.

Paper

A high-order compact integrated-RBF scheme for time-dependent problems
Thai-Quang, N., Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "A high-order compact integrated-RBF scheme for time-dependent problems." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.

Paper

A high-order compact local integrated-RBF scheme for steady-state incompressible viscous flows in the primitive variables
Thai-Quang, N., Le-Cao, K., Mai-Duy, N. and Tran-Cong, T.. 2012. "A high-order compact local integrated-RBF scheme for steady-state incompressible viscous flows in the primitive variables." CMES Computer Modeling in Engineering and Sciences. 84 (6), pp. 528-557. https://doi.org/10.3970/cmes.2012.084.528

Article

A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains
Mai-Duy, N. and Gu, Y. T.. 2023. "A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains." Engineering Analysis with Boundary Elements. 154, pp. 223-237. https://doi.org/10.1016/j.enganabound.2023.05.038

Article

A high-order time-kernel BIEM for the Burgers equation
Mai-Duy, Nam, Tran-Cong, Thanh and Tanner, R. I.. 2006. "A high-order time-kernel BIEM for the Burgers equation." Gatmiri, B., Sellier, A. and Aliabadi, M. H. (ed.) International Conference on Boundary Element Techniques VII. Paris, France 04 - 06 Sep 2006 Eastleigh, United Kingdom.

Paper

A high-order upwind control-volume method based on integrated RBFs for fluid-flow problems
Mai-Duy, N. and Tran-Cong, T.. 2011. "A high-order upwind control-volume method based on integrated RBFs for fluid-flow problems." International Journal for Numerical Methods in Fluids. 67 (12), pp. 1973-1992. https://doi.org/10.1002/fld.2477

Article

A holistic finite difference approach models linear dynamics consistently
Roberts, A. J.. 2003. "A holistic finite difference approach models linear dynamics consistently." Mathematics of Computation. 72 (241), pp. 247-262. https://doi.org/10.1090/S0025-5718-02-01448-5

Article

A hybrid particle swarm evolutionary algorithm for constrained multi-objective optimization
Wei, Jingxuan, Wang, Yuping and Wang, Hua. 2010. "A hybrid particle swarm evolutionary algorithm for constrained multi-objective optimization." Computing and Informatics. 29 (5), pp. 701-708.

Article

A level set method for topology optimization of continuum structures with bounded design domain
Rong, Jian Hua and Liang, Qing Quan. 2008. "A level set method for topology optimization of continuum structures with bounded design domain." Computer Methods in Applied Mechanics and Engineering. 197 (17-18), pp. 1447-1465. https://doi.org/10.1016/j.cma.2007.11.026

Article

A level set method with maximum design domain limits
Rong, J. H., Yi, J. H. and Liang, Q. Q.. 2008. "A level set method with maximum design domain limits." Xie, Yi Min and Patnaikuni, Indubhushan (ed.) ISEC 4: Innovations in Structural Engineering and Construction. Melbourne, Australia 26 - 28 Sep 2007 London, United Kingdom.

Paper

A long-period planet orbiting a nearby Sun-like star
Jones, Hugh R. A., Butler, R. Paul, Tinney, C. G., O'Toole, Simon, Wittenmyer, Rob, Henry, Gregory W., Meschiari, Stefano, Vogt, Steve, Rivera, Eugenio, Laughlin, Greg, Carter, Brad D., Bailey, Jeremy and Jenkins, James S.. 2010. "A long-period planet orbiting a nearby Sun-like star." Monthly Notices of the Royal Astronomical Society. 403 (4), pp. 1703-1713. https://doi.org/10.1111/j.1365-2966.2009.16232.x

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

A mathematical model of Chlamydial infection incorporating movement of Chlamydial particles
Mallet, D. G., Bagher-Oskouei, M., Farr, A. C., Simpson, D. P. and Sutton, K. J.. 2013. "A mathematical model of Chlamydial infection incorporating movement of Chlamydial particles." Bulletin of Mathematical Biology. 75 (11), pp. 2257-2270. https://doi.org/10.1007/s11538-013-9891-9

Article

A mathematical model to account for quantitative iterative effect of TNF-α positive feedback mechanism on inflammatory cascade in TLR-4 mediated TNF-α signaling pathway
Roberts, Tony, Essien, Bryan, Kotiw, Michael, Butler, Harry and Strunin, Dmitry. 2008. "A mathematical model to account for quantitative iterative effect of TNF-α positive feedback mechanism on inflammatory cascade in TLR-4 mediated TNF-α signaling pathway." Ragan, Mark (ed.) 19th International Conference on Genome Informatics (GIW 2008). Gold Coast, Australia 01 - 03 Dec 2008 London, United Kingdom.

Poster

A meshless approach to capturing moving interfaces in passive transport problems
Mai-Cao, L. and Tran-Cong, T.. 2008. "A meshless approach to capturing moving interfaces in passive transport problems." CMES Computer Modeling in Engineering and Sciences. 31 (3), pp. 157-188. https://doi.org/10.3970/cmes.2008.031.157

Article

A meshless IRBFN-based method for transient problems
Mai-Cao, L. and Tran-Cong, T.. 2005. "A meshless IRBFN-based method for transient problems." CMES Computer Modeling in Engineering and Sciences. 7 (2), pp. 149-171.

Article

A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2006. "A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension." Nguyen, Son Q. and Nguyen, Dung (ed.) 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today. Ho Chi Minh City, Vietnam 11 - 14 Dec 2006 Paris, France.

Paper

A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2007. "A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials." Taylor, R. L., Papadopoulos, P. and Zohdi, T. I. (ed.) USNCCM9: 9th US National Congress on Computational Mechanics. San Francisco, United States 22 - 26 Jul 2007 Austin, TX. United States.

Paper

A meshless technique based on integrated radial basis function networks for elliptic partial differential equations
Mai-Duy, N. and Tran-Cong, T.. 2008. "A meshless technique based on integrated radial basis function networks for elliptic partial differential equations." Griebel, Michael and Schweitzer, Marc Alexander (ed.) 4th International Workshop on Meshfree Methods for Partial Differential Equations. Bonn, Germany 17 - 20 Sep 2007 Berlin, Germany. https://doi.org/10.1007/978-3-540-79994-8_9

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A meta-analysis and systematic review of perioperative outcomes of laparoscopic-assisted rectal resection (LARR) versus open rectal resection (ORR) for carcinoma
Memon, Muhammed A., Yunus, Rossita M., Memon, Breda, Awais, Aiman and Khan, Shahjahan. 2018. "A meta-analysis and systematic review of perioperative outcomes of laparoscopic-assisted rectal resection (LARR) versus open rectal resection (ORR) for carcinoma." Surgical Laparoscopy, Endoscopy and Percutaneous Techniques. 28 (6), pp. 337-348. https://doi.org/10.1097/SLE.0000000000000589

Article

A micromechanics model for environmental stress-corrosion in GFRP
Khennane, Amar and Melchers, Robert E.. 2003. "A micromechanics model for environmental stress-corrosion in GFRP." International Journal of Materials and Product Technology. 19 (1), pp. 2-14. https://doi.org/10.1504/IJMPT.2003.003556

Article

A microstructure model for viscoelastic–thixotropic fluids
Le-Cao, K., Phan-Thien, N., Mai-Duy, N., Ooi, S. K., Lee, A. C. and Khoo, B. C.. 2020. "A microstructure model for viscoelastic–thixotropic fluids." Physics of Fluids. 32. https://doi.org/10.1063/5.0033199

Article

A model of turbulent dispersion through roughness layer using centre manifolds
Strunin, Dmitry V.. 2011. "A model of turbulent dispersion through roughness layer using centre manifolds." Massengill, H. P. (ed.) 6th AIAA Theoretical Fluid Mechanics Conference. Honolulu, United States 27 - 30 Jun 2011 Red Hook, NY. United States.

Paper

A moving IRBFN-based Galerkin meshless method
Le, Phong B. H., Rabczuk, Timon, Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A moving IRBFN-based Galerkin meshless method." CMES Computer Modeling in Engineering and Sciences. 66 (1), pp. 25-52. https://doi.org/10.3970/cmes.2010.066.025

Article

A moving IRBFN-based integration-free meshless method
Le, Phong B. H., Rabczuk, Timon, Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A moving IRBFN-based integration-free meshless method." CMES Computer Modeling in Engineering and Sciences. 61 (1), pp. 63-109. https://doi.org/10.3970/cmes.2010.061.063

Article

A multi-criteria multi-commodity flow model for analysing transportation networks
Bevrani, Bayan, Burdett, Robert, Bhaskar, Ashish and Yarlagadda, Prasad K.D.V.. 2020. "A multi-criteria multi-commodity flow model for analysing transportation networks ." Operations Research Perspectives. 7, pp. 1-19. https://doi.org/10.1016/j.orp.2020.100159

Article

A multidomain integrated RBF collocation method for elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A multidomain integrated RBF collocation method for elliptic differential equations." Schrefler, B. A. and Perego, U. (ed.) 8th World Congress on Computational Mechanics (WCCM8), and 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). Venice, Italy 30 Jun - 04 Jul 2008 Barcelona, Spain.

Paper

A multidomain integrated-radial-basis-function collocation method for elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A multidomain integrated-radial-basis-function collocation method for elliptic problems." Numerical Methods for Partial Differential Equations. 24 (5), pp. 1301-1320. https://doi.org/10.1002/num.20319

Article

A multiscale method based on the fibre configuration field, IRBF and DAVSS for the simulation of fibre suspension flows
Nguyen, H. Q., Tran, C.-D. and Tran-Cong, T.. 2015. "A multiscale method based on the fibre configuration field, IRBF and DAVSS for the simulation of fibre suspension flows." CMES: Computer Modeling in Engineering and Science. 109 (4), pp. 361-403. https://doi.org/10.3970/cmes.2015.109.361

Article

A neutrosophic recommender system for medical diagnosis based on algebraic neutrosophic measures
Ali, Mumtaz, Son, Le Hoang, Thanh, Nguyen Dang and Minh, Nguyen Van. 2018. "A neutrosophic recommender system for medical diagnosis based on algebraic neutrosophic measures." Applied Soft Computing. 71, pp. 1054-1071. https://doi.org/10.1016/j.asoc.2017.10.012

Article

A new case of truncated phase equation for coupled oscillators
Strunin, Dmitry V.. 2009. "A new case of truncated phase equation for coupled oscillators ." Yahya, Abu Hasan (ed.) 5th Asian Mathematical Conference (AMC2009). Kuala Lumpur, Malaysia 22 - 26 Jun 2009 Kuala-Lumpur, Malaysia.

Paper

A new data-driven topology optimization framework for structural optimization
Zhou, Ying, Zhan, Haifei, Zhang, Weihong, Zhu, Jihong, Bai, Jinshuai, Wang, Qingxia and Gu, Yuantong. 2020. "A new data-driven topology optimization framework for structural optimization." Computers and Structures. 239, pp. 1-16. https://doi.org/10.1016/j.compstruc.2020.106310

Article

A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation
Mai-Duy, N., Strunin, D. and Karunasena, W.. 2022. "A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation." Engineering Analysis with Boundary Elements. 143, pp. 687-699. https://doi.org/10.1016/j.enganabound.2022.07.014

Article

A new high-order time-kernel BIEM for the Burgers equation
Mai-Duy, N., Tran-Cong, T. and Tanner, R. I.. 2006. "A new high-order time-kernel BIEM for the Burgers equation." CMES Computer Modeling in Engineering and Sciences. 16 (3), pp. 177-186. https://doi.org/10.3970/cmes.2006.016.177

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A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems
Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2010. "A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 United Kingdom. Informa UK(IOP Books). https://doi.org/10.1088/1757-899X/10/1/012021

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