4904. Pure mathematics

Title	4904. Pure mathematics
Parent	49. Mathematical Sciences

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A flexible error estimate for the application of centre manifold theory

Li, Zhenquan and Roberts, A. J.. 2007. "A flexible error estimate for the application of centre manifold theory." Global Journal of Pure and Applied Mathematics. 3 (3), pp. 241-249.

Article

An effective high order interpolation scheme in BIEMs for biharmonic boundary value problems

Mai-Duy, N. and Tanner, R. I.. 2005. "An effective high order interpolation scheme in BIEMs for biharmonic boundary value problems." Engineering Analysis with Boundary Elements. 29 (3), pp. 210-223. https://doi.org/10.1016/j.enganabound.2005.01.005

Article

Designing printed circuit stators for brushless permanent magnet motors

Gambetta, D. and Ahfock, A.. 2009. "Designing printed circuit stators for brushless permanent magnet motors." IET Electric Power Applications. 3 (5), pp. 482-490. https://doi.org/10.1049/iet-epa.2008.0199

Article

Unipolar stitched inverter low-frequency harmonics caused by stitching delay

Sharma, R. and Ball, J. A. R.. 2009. "Unipolar stitched inverter low-frequency harmonics caused by stitching delay." IET Power Electronics. 2 (5), pp. 508-516. https://doi.org/10.1049/iet-pel.2008.0133

Article

Magnetic fields and differential rotation on the pre-main sequence

Marsden, Stephen C., Waite, Ian A. and Carter, Bradley D.. 2009. "Magnetic fields and differential rotation on the pre-main sequence." Stempels, Eric (ed.) 15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun. St. Andrews, United Kingdom 21 - 25 Jul 2008 Melville, NY. United States. AIP Publishing. https://doi.org/10.1063/1.3099217

Paper

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

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

Low Prandtl number fluid convection modelled using symbolic algebra (REDUCE) and Matlab

Passmore, Tim and Roberts, A. J.. 2003. "Low Prandtl number fluid convection modelled using symbolic algebra (REDUCE) and Matlab." ANZIAM 2003: Computational Techniques and Applications. Toowoomba, Australia 16 - 18 Jul 2003 Cambridge, United Kingdom .

Paper

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

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

Fluid flow between active elastic plates

Strunin, D. V.. 2009. "Fluid flow between active elastic plates." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C871-C883.

Article

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

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

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

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

Modified detrended fluctuation analysis method in depth of anesthesia assessment application

Nguyen-Ky, T., Wen, Peng and Li, Yan. 2008. "Modified detrended fluctuation analysis method in depth of anesthesia assessment application." Arabnia, Hamid R. (ed.) BIOCOMP 2008: International Conference on Bioinformatics and Computational Biology. Las Vegas, United States 14 - 17 Jul 2008 Las Vegas, NV. USA.

Paper

Prediction distribution of generalized geometric series distribution and its different forms

Hassan, Anwar and Khan, Shahjahan. 2009. "Prediction distribution of generalized geometric series distribution and its different forms." Pakistan Journal of Statistics. 25 (1), pp. 47-57.

Article

Estimation in multiple regression model with elliptically contoured errors under MLINEX loss

Arashi, M., Tabatabaey, S. M. M. and Khan, Shahjahan. 2008. "Estimation in multiple regression model with elliptically contoured errors under MLINEX loss." Journal of Applied Probability and Statistics. 3 (1), pp. 23-35.

Article

L1 optimization for robust signal processing

Shi, Mingren and Lukas, Mark A.. 2005. "L1 optimization for robust signal processing." Caccetta, Lou and Rehbock, V. (ed.) 18th National ASOR Conference. Perth, WA 26 - 30 Nov 2005 Perth, Western Australia.

Paper

Computer algebra derives discretisations via self-adjoint multiscale modelling

Roberts, A. J.. 2008. "Computer algebra derives discretisations via self-adjoint multiscale modelling." Unpublihsed.

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

Change detection through clustering and spectral analysis

Donovan, Diane, Loch, Birgit, Thompson, H. B. and Thompson, Jayne. 2008. "Change detection through clustering and spectral analysis." Brankovich, Ljiljania, Lin, Yuqing and Smythe, William F. (ed.) IWOCA 2007: 18th International Workshop on Combinatorial Algorithms . Newcastle, Australia 05 - 09 Nov 2007 United States.

Paper

Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure

Roberts, A. J.. 2008. Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure. Toowoomba, Australia. University of Southern Queensland.

Technical report

An evaluation of fracture toughness of vinyl ester composites cured under microwave conditions

Ku, H., Chan, W. L., Trada, M. and Baddeley, D.. 2007. "An evaluation of fracture toughness of vinyl ester composites cured under microwave conditions." Journal of Materials Engineering and Performance. 16 (6), pp. 741-745. https://doi.org/10.1007/s11665-007-9104-5

Article

Evaluation of Tweedie exponential dispersion model densities by Fourier inversion

Dunn, Peter K. and Smyth, Gordon K.. 2008. "Evaluation of Tweedie exponential dispersion model densities by Fourier inversion." Statistics and Computing. 18 (1), pp. 73-86. https://doi.org/10.1007/s11222-007-9039-6

Article

The inertial dynamics of thin film flow of non-Newtonian fluids

Roberts, A. J.. 2008. "The inertial dynamics of thin film flow of non-Newtonian fluids." Physics Letters A. 372 (10), pp. 1607-1611. https://doi.org/10.1016/j.physleta.2007.10.014

Article

A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems

Mai-Duy, Nam and Tanner, Roger I.. 2007. "A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems." Journal of Computational and Applied Mathematics. 201 (1), pp. 30-47. https://doi.org/10.1016/j.cam.2006.01.030

Article

Computation of laminated composite plates using integrated radial basis function networks

Mai-Duy, Nam, Khennane, Amar and Tran-Cong, Thanh. 2007. "Computation of laminated composite plates using integrated radial basis function networks." Computers, Materials and Continua. 5 (1), pp. 63-77. https://doi.org/10.3970/cmc.2007.005.063

Article

Two-equation model of mean flow resonances in subcritical flow systems

Suslov, S. A.. 2008. "Two-equation model of mean flow resonances in subcritical flow systems." Discrete and Continuous Dynamical Systems Series S, Selected Topics. 1 (1), pp. 165-176.

Article

Secondary-tertiary transition: what mathematics skills can and should we expect this decade?

Jourdan, Nic, Cretchley, Patricia and Passmore, Tim. 2007. "Secondary-tertiary transition: what mathematics skills can and should we expect this decade?" Watson, Jane and Beswick, Kim (ed.) 30th Annual conference of the Mathematics Education Research Group of Australasia (MERGA30). Hobart, Australia 02 - 06 Jul 2007 Adelaide, South Australia.

Paper

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

Normal form transforms separate slow and fast modes in stochastic dynamical systems

Roberts, A. J.. 2008. "Normal form transforms separate slow and fast modes in stochastic dynamical systems." Physica A: Statistical Mechanics and its Applications. 387 (1), pp. 12-38. https://doi.org/10.1016/j.physa.2007.08.023

Article

Computer algebra models dynamics on a multigrid across multiple length and time scales

Roberts, A. J.. 2007. Computer algebra models dynamics on a multigrid across multiple length and time scales.

Technical report

Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model

Georgiev, Dian J., Roberts, A. J. and Strunin, Dmitry V.. 2007. "Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model." Discrete and Continuous Dynamical Systems Series A.

Article

The dynamics of the vertical structure of turbulence in flood flows

Georgiev, D. J., Roberts, A. J. and Strunin, D. V.. 2007. "The dynamics of the vertical structure of turbulence in flood flows." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 48, pp. C573-C590. https://doi.org/10.0000/anziamj.v48i0.124

Article

Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations

Mai-Duy, Nam and Tran-Cong, Thanh. 2002. "Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations." Engineering Analysis with Boundary Elements. 26 (2), pp. 133-156. https://doi.org/10.1016/S0955-7997(01)00092-3

Article

On weak convergence of long-range-dependent traffic processes

Addie, R. G.. 1999. "On weak convergence of long-range-dependent traffic processes." Journal of Statistical Planning and Inference. 80 (1), pp. 155-171.

Article

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