4904. Pure mathematics

Title	4904. Pure mathematics
Parent	49. Mathematical Sciences

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Fractional cable models for spiny neuronal dendrites

Henry, B. I., Langlands, Trevor and Wearne, S. L.. 2008. "Fractional cable models for spiny neuronal dendrites." Physical Review Letters. 100 (12), pp. 1-4. https://doi.org/10.1103/PhysRevLett.100.128103

Article

Turing pattern formation with fractional diffusion and fractional reactions

Langlands, T. A. M., Henry, B. I. and Wearne, S. L.. 2006. "Turing pattern formation with fractional diffusion and fractional reactions." Journal of Physics: Condensed Matter. 19 (6), pp. 065115 -065134. https://doi.org/10.1088/0953-8984/19/6/065115

Article

Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations

Henry, B. I., Langlands, Trevor and Wearne, S. L.. 2006. "Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations." Physical Review E. 74 (3), pp. 1-15. https://doi.org/10.1103/PhysRevE.74.031116

Article

Solution of a modified fractional diffusion equation

Langlands, T. A. M.. 2006. "Solution of a modified fractional diffusion equation." Physica A: Statistical Mechanics and its Applications. 367, pp. 136-144. https://doi.org/10.1016/j.physa.2005.12.012

Article

Theoretical basis for identification of different anesthetic states based on routinely recorded EEG during operation

Nguyen-Ky, T., Wen, Peng and Li, Yan. 2009. "Theoretical basis for identification of different anesthetic states based on routinely recorded EEG during operation." Computers in Biology and Medicine. 39 (1), pp. 40-45. https://doi.org/10.1016/j.compbiomed.2008.10.007

Article

Comparison between unipolar and bipolar single phase grid-connected inverters for PV applications

Bowtell, Les and Ahfock, Tony. 2007. "Comparison between unipolar and bipolar single phase grid-connected inverters for PV applications." AUPEC 2007: 17th Australasian Universities Power Engineering Conference. Perth, Australia 09 - 12 Dec 2007 Australia. https://doi.org/10.1109/AUPEC.2007.4548098

Paper

A case study using neural networks algorithms: horse racing predictions in Jamaica

Williams, Janett and Li, Yan. 2008. "A case study using neural networks algorithms: horse racing predictions in Jamaica." Arabnia, Hamid R. and Mun, Yougsong (ed.) ICAI 2008: International Conference on Artificial Intelligence. Las Vegas, United States 14 - 17 Jul 2008 Las Vegas, NV. USA.

Paper

Modelling the dynamics of turbulent floods

Mei, Z., Roberts, A. J. and Li, Zhenquan. 2002. "Modelling the dynamics of turbulent floods." SIAM Journal on Applied Mathematics. 63 (2), pp. 423-458. https://doi.org/10.1137/S0036139999358866

Article

An efficient indirect RBFN-based method for numerical solution of PDEs

Mai-Duy, Nam and Tran-Cong, Thanh. 2005. "An efficient indirect RBFN-based method for numerical solution of PDEs." Numerical Methods for Partial Differential Equations. 21 (4), pp. 770-790. https://doi.org/10.1002/num.20062

Article

General tooth boundary conditions for equation free modeling

Roberts, A. J. and Kevrekidis, I. G.. 2007. "General tooth boundary conditions for equation free modeling." SIAM Journal on Scientific Computing. 29 (4), pp. 1495-1510. https://doi.org/10.1137/060654554

Article

Solving high-order partial differential equations with indirect radial basis function networks

Mai-Duy, N. and Tanner, R. I.. 2005. "Solving high-order partial differential equations with indirect radial basis function networks." International Journal for Numerical Methods in Engineering. 63 (11), pp. 1636-1654. https://doi.org/10.1002/nme.1332

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Solving high order ordinary differential equations with radial basis function networks

Mai-Duy, Nam. 2005. "Solving high order ordinary differential equations with radial basis function networks." International Journal for Numerical Methods in Engineering. 62 (6), pp. 824-852. https://doi.org/10.1002/nme.1220

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Computing non-Newtonian fluid flow with radial basis function networks

Mai-Duy, N. and Tanner, R. I.. 2005. "Computing non-Newtonian fluid flow with radial basis function networks." International Journal for Numerical Methods in Fluids. 48 (12), pp. 1309-1336. https://doi.org/10.1002/fld.977

Article

Numerical solution of differential equations using multiquadric radial basis function networks

Mai-Duy, Nam and Tran-Cong, Thanh. 2001. "Numerical solution of differential equations using multiquadric radial basis function networks." Neural Networks. 14 (2), pp. 185-199. https://doi.org/10.1016/S0893-6080(00)00095-2

Article

Approximation of function and its derivatives using radial basis function networks

Mai-Duy, Nam and Tran-Cong, Thanh. 2003. "Approximation of function and its derivatives using radial basis function networks." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 27 (3), pp. 197-220. https://doi.org/10.1016/S0307-904X(02)00101-4

Article

Multi-mode spatio-temporal instability in non-Boussinesq convection

Suslov, Sergey A.. 2004. "Multi-mode spatio-temporal instability in non-Boussinesq convection." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal.

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A new meshless RBF-based method for unsteady fluid flow analysis

Mai-Duy, N., Mai-Cao, L. and Tran-Cong, T.. 2006. "A new meshless RBF-based method for unsteady fluid flow analysis." Sladek, Jan and Sladek, Vladimir (ed.) Advances in meshless methods. USA. Tech Science Press. pp. 241-262

Edited book (chapter)

A domain-type boundary-integral-equation method for two-dimensional biharmonic Dirichlet problem

Mai-Duy, N., Tran-Cong, T. and Tanner, R. I.. 2006. "A domain-type boundary-integral-equation method for two-dimensional biharmonic Dirichlet problem." Engineering Analysis with Boundary Elements. 30 (10), pp. 809-817. https://doi.org/10.1016/j.enganabound.2006.06.002

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Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation

MacKenzie, T. and Roberts, A. J.. 2006. "Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation." SIAM Journal on Applied Dynamical Systems. 5 (3), pp. 365-402. https://doi.org/10.1137/050627733

Article

Meshfree direct and indirect local radial basis function collocation formulations for transport phenomena

Sarler, Bozidar, Tran-Cong, Thanh and Chen, Ching S.. 2005. "Meshfree direct and indirect local radial basis function collocation formulations for transport phenomena." Kassab, Alain J., Brebbia, Carlos Alberto, Divo, E. and Poljak, Dragan (ed.) 27th World Conference on Boundary Elements and Other Mesh reduction Methods Incorporating Engineering and Electromagnetics (BEM XXVII). Orlando, United States 15 - 18 Mar 2005 Southampton, United Kingdom.

Paper

A novel attribute reduction algorithm based on peer-to-peer technique and rough set theory

Ma, Guangzhi, Lu, Yansheng, Wen, Peng and Song, Engmin. 2010. "A novel attribute reduction algorithm based on peer-to-peer technique and rough set theory." Li, Yan, Yang, Jiajia, Wen, Peng and Wu, Jinglong (ed.) 2010 IEEE/ICME International Conference on Complex Medical Engineering (ICME 2010). Gold Coast, Australia 13 - 15 Jul 2010 Brisbane, Australia. https://doi.org/10.1109/ICCME.2010.5558832

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Interfacial bonding characteristic of nanoclay/polymer composites

Chan, Mo-lin, Lau, Kin-tak, Wong, T. T. and Cardona, Francisco. 2011. "Interfacial bonding characteristic of nanoclay/polymer composites." Applied Surface Science. 258 (2), pp. 860-864. https://doi.org/10.1016/j.apsusc.2011.09.016

Article

Application of topological conservation to model key features of zero-torque multi-ply yarns

Tran, Canh-Dung, van der Heijden, G. H. M. and Phillips, David G.. 2008. "Application of topological conservation to model key features of zero-torque multi-ply yarns." Journal of the Textile Institute. 99 (4), pp. 325-337. https://doi.org/10.1080/00405000701442635

Article

Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces

Henry, B. I., Langlands, T. A. M. and Straka, P.. 2010. "Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces." Physical Review Letters. 105 (17), pp. 17062-1-170602-4. https://doi.org/10.1103/PhysRevLett.105.170602

Article

Dynamic topologies for sustainable and energy efficient traffic routing

Kist, Alexander A. and Aldraho, Abdelnour. 2011. "Dynamic topologies for sustainable and energy efficient traffic routing." Computer Networks. 55 (9), pp. 2271-2288. https://doi.org/10.1016/j.comnet.2011.03.008

Article

Fractional chemotaxis diffusion equations

Langlands, T. A. M. and Henry, B. I.. 2010. "Fractional chemotaxis diffusion equations." Physical Review E. 81 (5), pp. 1-12. https://doi.org/10.1103/PhysRevE.81.051102

Article

Optimal targeting of hepatitis C virus treatment among injecting drug users to those not enrolled in methadone maintenance programs

Zeiler, Irmgard, Langlands, Trevor, Murray, John M. and Ritter, Alison. 2010. "Optimal targeting of hepatitis C virus treatment among injecting drug users to those not enrolled in methadone maintenance programs." Drug and Alcohol Dependence. 110 (3), pp. 228-233. https://doi.org/10.1016/j.drugalcdep.2010.03.006

Article

A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions

Mai-Duy, N. and Tran-Cong, T.. 2010. "A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions." Sarler, Bozidar and Atluri, Satya N. (ed.) Recent studies in meshless and other novel computational methods. Duluth, GA. United States. Tech Science Press. pp. 17-33

Edited book (chapter)

A numerical study of 2D integrated RBFNs incorporating Cartesian grids for solving 2D elliptic differential problems

Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A numerical study of 2D integrated RBFNs incorporating Cartesian grids for solving 2D elliptic differential problems." Numerical Methods for Partial Differential Equations. 26 (6), pp. 1443-1462. https://doi.org/10.1002/num.20502

Article

A control volume technique based on integrated RBFNs for the convection-diffusion equation

Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A control volume technique based on integrated RBFNs for the convection-diffusion equation." Numerical Methods for Partial Differential Equations. 26 (2), pp. 426 -447. https://doi.org/10.1002/num.20444

Article

A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems

Le, Phong B. H., Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2010. "A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems." International Journal for Numerical Methods in Engineering. 82 (4), pp. 435-463. https://doi.org/10.1002/nme.2771

Article

An introduction to fractional diffusion

Henry, B. I., Langlands, Trevor and Straka, P.. 2010. "An introduction to fractional diffusion." Dewar, Robert L. and Detering, Frank (ed.) 22nd Canberra International Physics Summer School. Canberra, Australia 08 - 19 Dec 2008 Singapore. https://doi.org/10.1142/9789814277327_0002

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Point-wise integrated-RBF-based discretisation of differential equations

Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "Point-wise integrated-RBF-based discretisation of differential equations." Lu, Jane Wei-Zhen, Leung, Andrew Y. T., Lu, Vai Pan and Mok, Kai Meng (ed.) 2nd International Symposium on Computational Mechanics (ISCM II) in conjunction with EPMESC 2009. Hong Kong, China 30 Nov - 03 Dec 2009 College Park, MD. United States. AIP Publishing. https://doi.org/10.1063/1.3452151

Paper

Problem set 3

Yevdokimov, Oleksiy. 2009. "Problem set 3." Australian Senior Mathematics Journal. 23 (1), pp. 63-63.

Article

An efficient BEM for numerical solution of the biharmonic boundary value problem

Mai-Duy, N. and Tanner, R. I.. 2004. "An efficient BEM for numerical solution of the biharmonic boundary value problem." Atluri, Satya N. and Tadeu, Antonia J. B. (ed.) International Conference on Computational and Experimental Engineering & Sciences (ICCES 2004): Advances in Computational & Experimental Engineering & Sciences. Madeira, Portugal 26 - 29 Jul 2004 Duluth, GA. United States.

Paper

Numerical analysis of corrugated tube flow using RBFNs

Mai-Duy, Nam and Tanner, Roger I.. 2004. "Numerical analysis of corrugated tube flow using RBFNs." Lee, Jae Wook and Lee, Seung Jong (ed.) 14th International Congress on Rheology. Seoul, Korea 22 - 27 Aug 2004 Seoul, Korea.

Paper

Lump solutions of 2D generalized Gardner equation

Stepanyants, Y. A., Ten, I. K. and Tomita, H.. 2006. "Lump solutions of 2D generalized Gardner equation." Luo, Albert C. J., Dai, Liming and Hamidzadeh, Hamid R. (ed.) Conference on Nonlinear Science and Complexity (2006). Beijing, China 07 - 12 Aug 2006 Singapore.

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