49. Mathematical Sciences


Title49. Mathematical Sciences
ParentANZSRC Field of Research

Latest research outputs

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Solutions classification to the extended reduced Ostrovsky equation
Stepanyants, Yury A.. 2008. "Solutions classification to the extended reduced Ostrovsky equation." Symmetry, Integrability and Geometry: Methods and Applications. 4. https://doi.org/10.3842/SIGMA.2008.073

Article

Factors contributing to making the learning of statistics an enjoyable experience
Nooriafshar, Mehryar. 2003. "Factors contributing to making the learning of statistics an enjoyable experience." International Journal for Mathematics Teaching and Learning.

Article

An investigation into identifying factors and building models for prediction of water usage in regional Australia
Nooriafshar, Mehryar and Maraseni, Tek Narayan. 2006. "An investigation into identifying factors and building models for prediction of water usage in regional Australia." Burge, Andrew (ed.) 5th Annual Hawaii International Conference on Statistics, Mathematics and Related Fields. Honolulu, Hawaii 16 - 18 Jan 2006 Hawaii, USA.

Paper

Estimation of mutual information: a survey
Walters-Williams, Janett and Li, Yan. 2009. "Estimation of mutual information: a survey." Wen, Peng, Li, Yuefeng, Polkowski, Lech, Yao, Yiyu, Tsumoto, Shusaku and Wang, Guoyin (ed.) 4th International Conference on Rough Sets and Knowledge Technology (RSKT 2009). Gold Coast, Australia 14 - 16 Jul 2009 Berlin, Germany. Springer. https://doi.org/10.1007/978-3-642-02962-2_49

Paper

Data missing and make-up work studies over a PIDn networked control system
Teng, Lanzhi and Wen, Peng. 2008. "Data missing and make-up work studies over a PIDn networked control system." Arabnia, Hamid R. and Deligiannidis, Leonidas (ed.) MSV 2008: International Conference on Modeling, Simulation and Visualization Methods. Las Vegas, United States 14 - 17 Jul 2008 Las Vegas, NV. USA.

Paper

Essentials of control techniques and theory
Billingsley, John. 2010. Essentials of control techniques and theory. Boca Raton, FL. United States. CRC Press.

Authored book

An integrated-RBF technique based on Galerkin formulation for elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "An integrated-RBF technique based on Galerkin formulation for elliptic differential equations." Engineering Analysis with Boundary Elements. 33 (2), pp. 191-199. https://doi.org/10.1016/j.enganabound.2008.05.001

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 spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains
Mai-Duy, Nam, See, Howard and Tran-Cong, Thanh. 2009. "A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 33 (1), pp. 284-299. https://doi.org/10.1016/j.apm.2007.11.002

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

Information capacity designs for generalized linear models
Swan, Taryn, McGree, James, Lewis, Susan and Woods, Dave. 2010. "Information capacity designs for generalized linear models." Royal Statistical Society 2010 International Conference. Brighton, United Kingdom 13 - 17 Sep 2010

Poster

On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons
Stepanyants, Yury. 2006. "On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons." Chaos, Solitons and Fractals. 28 (1), pp. 193-204. https://doi.org/10.1016/j.chaos.2005.05.020

Article

Automated vehicle classification system for AUSTROADS standard based upon laser sensor technology
Xiang, Wei, Otto, Colin W. and Wen, Peng. 2009. "Automated vehicle classification system for AUSTROADS standard based upon laser sensor technology." Australian Journal of Electrical and Electronics Engineering. 5 (2), pp. 95-106.

Article

Mathematical modeling of the fracture toughness of phenol formaldehyde composites reinforced with E-spheres
Ku, H., Xiang, W. and Pattarachaiyakoop, N.. 2009. "Mathematical modeling of the fracture toughness of phenol formaldehyde composites reinforced with E-spheres ." Advanced Materials Research. 79-82, pp. 1165-1168. https://doi.org/10.4028/www.scientific.net/AMR.79-82.1165

Article

The motion of a cylindrical body in a stratified fluid under the action of a radiation force
Kozyrev, O. R., Reznik, S. N. and Stepanyants, Yu. A.. 2009. "The motion of a cylindrical body in a stratified fluid under the action of a radiation force." Journal of Applied Mathematics and Mechanics. 73 (2), pp. 188-195. https://doi.org/10.1016/j.jappmathmech.2009.04.008

Article

Front solutions of Richards' equation
Caputo, Jean-Guy and Stepanyants, Yury. 2008. "Front solutions of Richards' equation." Transport in Porous Media. 74 (1), pp. 1-20. https://doi.org/10.1007/s11242-007-9180-x

Article

Suspended particle characteristics in storm runoff from urban impervious surfaces in Toowoomba, Australia
Brodie, Ian M. and Dunn, Peter K.. 2009. "Suspended particle characteristics in storm runoff from urban impervious surfaces in Toowoomba, Australia." Urban Water Journal. 6 (2), pp. 137-146. https://doi.org/10.1080/15730620802541607

Article

Phase equation with nonlinear excitation for nonlocally coupled oscillators
Strunin, D. V.. 2009. "Phase equation with nonlinear excitation for nonlocally coupled oscillators." Physica D: Nonlinear Phenomena. 238 (18), pp. 1909-1916. https://doi.org/10.1016/j.physd.2009.06.022

Article

Low-dimensional boundary-layer model of turbulent dispersion in a channel
Strunin, Dmitry V. and Roberts, Anthony J.. 2009. "Low-dimensional boundary-layer model of turbulent dispersion in a channel." Ao, S. I., Gelman, Len, Hukins, David W. L., Hunter, Andrew and Korsunsky, A. M. (ed.) WCE 2009: World Congress of Engineering . London, United Kingdom 01 - 03 Jul 2009 London, UK.

Paper

Making generalisations in geometry: students' views on the process: a case study
Yevdokimov, Oleksiy. 2008. "Making generalisations in geometry: students' views on the process: a case study." Figueras, Olimpia, Cortina, Jose Luis, Alatorre, Silvia, Rojano, Teresa and Sepulveda, Armando (ed.) 2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition. Morelia, Mexico 17 - 21 Jul 2008 Morelia, Mexico.

Paper

Problem set 2
Yevdokimov, Oleksiy. 2008. "Problem set 2." Australian Senior Mathematics Journal. 22 (2), pp. 63-64.

Article

Problem set 1
Yevdokimov, Oleksiy. 2008. "Problem set 1." Australian Senior Mathematics Journal. 22 (1), pp. 63-64.

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

Optimal tolerance regions for future regression vector and residual sum of squares of multiple regression model with multivariate spherically contoured errors
Khan, Shahjahan. 2009. "Optimal tolerance regions for future regression vector and residual sum of squares of multiple regression model with multivariate spherically contoured errors." Statistical Papers. 50 (3), pp. 511-525. https://doi.org/10.1007/s00362-007-0095-y

Article

Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet
Strunin, D. V.. 2008. "Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet." Bulletin of the Belgian Mathematical Society: Simon Stevin. 15 (5), pp. 935-946.

Article

Analysis of instability patterns in non-Boussinesq mixed convection using a direct numerical evaluation of disturbance integrals
Suslov, Sergey A.. 2009. "Analysis of instability patterns in non-Boussinesq mixed convection using a direct numerical evaluation of disturbance integrals." Computers and Fluids. 38 (3), pp. 590-601. https://doi.org/10.1016/j.compfluid.2008.06.002

Article

Spatial variability in spoil sampling
Eastment, Henry T., Russell, M. J. and Toleman, Mark. 1989. "Spatial variability in spoil sampling." Landscape and Urban Planning. 17 (2), pp. 121-126. https://doi.org/10.1016/0169-2046(89)90020-0

Article

Elastodynamic reciprocity relations for wave scattering by flaws in fiber-reinforced composite plates
Karunasena, W.. 2008. "Elastodynamic reciprocity relations for wave scattering by flaws in fiber-reinforced composite plates." Journal of Mechanics of Materials and Structures. 3 (10), pp. 1831-1846.

Article

An assessment of relationships between the Australian subtropical ridge, rainfall variability, and high-latitude circulation patterns
Williams, Allyson A. J. and Stone, Roger C.. 2009. "An assessment of relationships between the Australian subtropical ridge, rainfall variability, and high-latitude circulation patterns." International Journal of Climatology. 29 (5), pp. 691-709. https://doi.org/10.1002/joc.1732

Article

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

Paper

On the use of integrated RBFs in Galerkin approximation for elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "On the use of integrated RBFs in Galerkin approximation for elliptic problems." Skerget, Leopold and Brebbia, Carlos A. (ed.) BEM/MRM 30: 30th International Conference on Boundary Elements and Other Mesh Reduction Methods. Maribor, Slovenia 07 - 09 Jul 2008 Southampton, United Kingdom. https://doi.org/10.2495/BE080171

Paper

An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations
Mai-Duy, N. and Tran-Cong, T.. 2008. "An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations." Alvarez, Matias P. (ed.) Leading-edge applied mathematical modeling research. New York, NY. United States. Nova Science Publishers. pp. 215-250

Edited book (chapter)

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

Nodal integration finite element techniques for analysis of piezoelectric solids
Nguyen-Van, Hieu, Le, Thong, Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "Nodal integration finite element techniques for analysis of piezoelectric solids." 2008 International Conference on Computational Solid Mechanics (CSM2008). Ho Chi Minh City, Vietnam 27 - 30 Nov 2008 Ho Chi Minh City, Vietnam.

Paper

An integral-collocation-based fictitious-domain technique for solving elliptic problems
Mai-Duy, Nam, See, Howard and Tran-Cong, Thanh. 2008. "An integral-collocation-based fictitious-domain technique for solving elliptic problems." Communications in Numerical Methods in Engineering. 24 (11), pp. 1291-1314. https://doi.org/10.1002/cnm.1033

Article

A point-collocation method based on integrated Chebyshev polynomials for elliptic differential equations in irregular domains
Mai-Duy, N. and Tran-Cong, T.. 2008. "A point-collocation method based on integrated Chebyshev polynomials for elliptic differential equations in irregular domains." 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 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

An efficient domain-decomposition pseudo-spectral method for solving elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "An efficient domain-decomposition pseudo-spectral method for solving elliptic differential equations." Communications in Numerical Methods in Engineering. 24 (10), pp. 795-806. https://doi.org/10.1002/cnm.987

Article

A node-based element for analysis of planar piezoelectric structures
Nguyen-Van, Hieu, Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A node-based element for analysis of planar piezoelectric structures." CMES Computer Modeling in Engineering and Sciences. 36 (1), pp. 65-95. https://doi.org/10.3970/cmes.2008.036.065

Article

A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 32 (12), pp. 2851-2862. https://doi.org/10.1016/j.apm.2007.10.003

Article