4904. Pure mathematics
Title | 4904. Pure mathematics |
---|---|
Parent | 49. Mathematical Sciences |
Latest research outputs
A boolean algebra approach for class hierarchy normalization
Zhang, Yanchun and Xiao, Jitian. 1997. "A boolean algebra approach for class hierarchy normalization." Topor, R. and Tanaka, K. (ed.) 5th International Conference on Database Systems for Advanced Applications. Melbourne, Australia 01 - 04 Apr 1997 Singapore. https://doi.org/10.1142/9789812819536_0032Paper
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.2771Article
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
A compact 9 point stencil based on integrated RBFs for the convection-diffusion equation
Mai-Duy, N., Thai-Quang, N., Hoang-Trieu, T.-T. and Tran-Cong, T.. 2014. "A compact 9 point stencil based on integrated RBFs for the convection-diffusion equation." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (4), pp. 1495-1510. https://doi.org/10.1016/j.apm.2013.08.017Article
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.20444Article
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.2006.06.002Article
A fast convergent iterative boundary element method on PVM cluster
Mai-Duy, N., Nguyen-Hong, P. and Tran-Cong, T.. 1998. "A fast convergent iterative boundary element method on PVM cluster." Engineering Analysis with Boundary Elements. 22 (4), pp. 307-316. https://doi.org/10.1016/S0955-7997(98)00071-XArticle
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
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/10.1080/00207160802647365Article
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.2009.044.219Article
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/S0025-5718-02-01448-5Article
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.2007.11.026Article
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 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_9Paper
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.20319Article
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.2006.016.177Article
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. 241-262Edited book (chapter)
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.2010.5558832Paper
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. 17-33Edited 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.20502Article
A Prototype Biometric Security Authentication System Based upon Fingerprint Recognition
Xiang, Wei, Desai, Bhavin, Wen, Paul, Wang, Yafeng and Peng, Tianshu. 2009. "A Prototype Biometric Security Authentication System Based upon Fingerprint Recognition." 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 Germany. Springer. https://doi.org/10.1007/978-3-642-02962-2_33Paper
A sampling theorem for the fractional Fourier transform without band-limiting constraints
Shi, Jun, Xiang, Wei, Liu, Xiaoping and Zhang, Naitong. 2014. "A sampling theorem for the fractional Fourier transform without band-limiting constraints." Signal Processing. 98, pp. 158-165. https://doi.org/10.1016/j.sigpro.2013.11.026Article
A self-calibration of the Leica Scan Station C10 scanner
Abbas, Mohd Azwan, Setan, Halim, Majid, Zulkepli, Lichti, Derek D. and Chong, Albert K.. 2013. "A self-calibration of the Leica Scan Station C10 scanner." Business Engineering and Industrial Applications Colloquium (BEIAC 2013). Langkawi, Malaysia 07 - 09 Apr 2013 Langkawi, Malaysia. https://doi.org/10.1109/BEIAC.2013.6560128Paper
A Self-Stabilizing Protocol for Minimal Weighted Dominating Sets in Arbitrary Networks
Wang, Guangyuan, Wang, Hua, Tao, Xiaohui and Zhang, Ji. 2013. "A Self-Stabilizing Protocol for Minimal Weighted Dominating Sets in Arbitrary Networks." Shen, Weiming, Li, Weidong, Barthes, Jean-Paul, Luo, Junzhou, Zhu, Haibin, Yong, Jianming and Li, Xiaoping (ed.) IEEE 17th International Conference on Computer Supported Cooperative Work in Design (CSCWD 2013). Whistler, Canada 27 - 29 Jun 2013 United States. https://doi.org/10.1109/CSCWD.2013.6581012Paper
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.2006.01.030Article
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.2007.11.002Article
A topological optimization method considering stress constraints
Rong, Jian Hua, Liang, Qing Quan, Guo, Seng and Mu, Rang Ke. 2008. "A topological optimization method considering stress constraints ." Liu, Deshun, Wu, Yihu, Hou, Zhixiang and Wang, Junnian (ed.) ICICTA 2008: International Conference on Intelligent Computation Technology and Automation. Changsha, China 20 - 22 Oct 2008 Los Alamitos, CA. United States. https://doi.org/10.1109/ICICTA.2008.223Paper
A zero-cost, real-time, Windows signal laboratory
Leis, John W. and Snook, Chris. 2009. "A zero-cost, real-time, Windows signal laboratory." International Journal of Electrical Engineering Education. 46 (1), pp. 1-10.Article
Accurate macroscale modelling of spatial dynamics in multiple dimensions
Roberts, A. J., MacKenzie, Tony and Bunder, J. E.. 2012. Accurate macroscale modelling of spatial dynamics in multiple dimensions. Adelaide, Australia. University of Adelaide.Technical report
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/10.1137/050627733Article
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.2005.01.005Article
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
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.20062Article
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/s11665-007-9104-5Article
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.2008.05.001Article
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_0002Paper
Analysing epileptic EEGs with a visibility graph algorithm
Zhu, Guohun, Li, Yan and Wen, Peng (Paul). 2012. "Analysing epileptic EEGs with a visibility graph algorithm." Chen, Qianbin, Huan, Jun (Luke), Xu, Yong, Zhang, Tianqi and Wang, Lipo (ed.) 5th International Conference on Biomedical Engineering and Informatics (BMEI 2012). Chongqing, China 16 - 18 Oct 2012 Piscataway, NJ. United States. https://doi.org/10.1109/BMEI.2012.6513212Paper
Analysis of conditional error rate and combining schemes in HARQ
Long, Hang, Xiang, Wei, Shen, Shanshan, Zhang, Yueying, Zheng, Kan and Wang, Wenbo. 2012. "Analysis of conditional error rate and combining schemes in HARQ." IEEE Transactions on Signal Processing. 60 (5), pp. 2677-2682. https://doi.org/10.1109/TSP.2012.2184100Article
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.2008.06.002Article
Analysis on the impact of antenna gain mismatch on precoding vector
Geng, Jian, Wang, Yafeng, Huang, Fan, Xiang, Wei and Yang, Dacheng. 2011. "Analysis on the impact of antenna gain mismatch on precoding vector." 2011 IEEE Wireless Communications and Networking Conference (WCNC 2011) . Cancun, Mexico 28 - 31 Mar 2011 United States. https://doi.org/10.1109/WCNC.2011.5779405Paper
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490401. Algebra and number theory
490402. Algebraic and differential geometry
490403. Category theory, k theory, homological algebra
490404. Combinatorics and discrete mathematics (excl. physical combinatorics)
490405. Group theory and generalisations
490406. Lie groups, harmonic and Fourier analysis
490407. Mathematical logic, set theory, lattices and universal algebra
490408. Operator algebras and functional analysis
490409. Ordinary differential equations, difference equations and dynamical systems
490410. Partial differential equations
490411. Real and complex functions (incl. several variables)