4903. Numerical and computational mathematics


Title4903. Numerical and computational mathematics
Parent49. Mathematical Sciences

Latest research outputs

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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

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)

An effective spectral collocation method for the direct solution of high-order ODEs
Mai-Duy, Nam. 2006. "An effective spectral collocation method for the direct solution of high-order ODEs." Communications in Numerical Methods in Engineering. 22 (6), pp. 627-642. https://doi.org/10.1002/cnm.841

Article

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

An extended branch and bound algorithm for linear bilevel programming
Shi, Chenggen, Lu, Jie, Zhang, Guangquan and Zhou, Hong. 2006. "An extended branch and bound algorithm for linear bilevel programming." Applied Mathematics and Computation. 180 (2), pp. 529-537.

Article

An implicit Keller Box numerical scheme for the solution of fractional subdiffusion equations
Osman, S. A and Langlands, T. A. M.. 2019. "An implicit Keller Box numerical scheme for the solution of fractional subdiffusion equations." Applied Mathematics and Computation. 348, pp. 609-626. https://doi.org/10.1016/j.amc.2018.12.015

Article

An improved dissipative particle dynamics scheme
Mai-Duy, N., Phan-Thien, N. and Tran-Cong, T.. 2017. "An improved dissipative particle dynamics scheme." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 46, pp. 602-617. https://doi.org/10.1016/j.apm.2017.01.086

Article

An improved soft-kill BESO algorithm for optimal distribution of single or multiple material phases
Ghabraie, Kazem. 2015. "An improved soft-kill BESO algorithm for optimal distribution of single or multiple material phases." Structural and Multidisciplinary Optimization. 52 (4), pp. 773-790. https://doi.org/10.1007/s00158-015-1268-2

Article

An improvement technique for bi-directional evolutionary structural optimisation (BESO) method
Ghabraie, Kazem. 2015. "An improvement technique for bi-directional evolutionary structural optimisation (BESO) method." Li, Qing, Steven, Grant P. and Zhang, Zhongpu (Leo) (ed.) 11th World Congress on Structural and Multidisciplinary Optimisation: Advances in Structural and Multidisciplinary Optimization (WCSMO-11). Sydney, Australia 07 - 12 Jun 2015

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

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

An intuitionistic fuzzy clustering algorithm based on a new correlation coefficient with application in medical diagnosis
Thao, Nguyen Xuan, Ali, Mumtaz and Smarandache, Florentin. 2019. "An intuitionistic fuzzy clustering algorithm based on a new correlation coefficient with application in medical diagnosis." Journal of Intelligent and Fuzzy Systems. 36 (1), pp. 189-198. https://doi.org/10.3233/JIFS-181084

Article

An IRBFN cartesian grid method based on displacement-stress formulation for 2D elasticity problems
Le, P., Mai-Duy, N., Tran-Cong, T. and Baker, G.. 2008. "An IRBFN cartesian grid method based on displacement-stress formulation for 2D elasticity problems." 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

Analysis of crack spacing in reinforced concrete by a lattice model
Chen, G. and Baker, G.. 2004. "Analysis of crack spacing in reinforced concrete by a lattice model." Advances in Structural Engineering: an international journal. 7 (2), pp. 179-188. https://doi.org/10.1260/1369433041211084

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

Analysis of microelectromechanical systems (MEMS) devices by the meshless point weighted least-squares method
Wang, Q. X., Li, Hua and Lam, K. Y.. 2007. "Analysis of microelectromechanical systems (MEMS) devices by the meshless point weighted least-squares method." Computational Mechanics. 40, pp. 1-11. https://doi.org/10.1007/s00466-006-0077-2

Article

Analysis of viscoelastic flow by a radial basis function networks method
Ho-Minh, D., Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "Analysis of viscoelastic flow by a radial basis function networks method." Jacobs, Peter A., McIntyre, Tim, Cleary, Matthew J., Buttsworth, David R., Mee, David, Clements, Rose, Morgan, Richard and Lemckert, Charles (ed.) 16th Australasian Fluid Mechanics Conference (AFMC 2007). Gold Coast, Australia 03 - 07 Dec 2007 Brisbane, Australia.

Paper

Angular rate sensing by circulatory vortex flow: design, simulation and experiment
Phan, Hoa Thanh, Dinh, Thien Xuan, Tran, Canh-Dung, Duc, Trinh Chu, Bui, Tung Thanh, Pham, Phuc Hong and Dau, Van Thanh. 2019. "Angular rate sensing by circulatory vortex flow: design, simulation and experiment." 20th International conference on Solid-State Sensors, Actuators and Microsystems & Eurosensors (Transducers & Eurosensors 33). Berlin, Germany 23 - 27 Jun 2019 Switzerland.

Paper

Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes
Bauer, S. M., Ermakov, A. M., Kashtanova, S. V. and Morozov, N. F.. 2011. "Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes." Vestnik: Mathematics (St. Petersburg University). 44 (1), p. Article 13. https://doi.org/10.3103/S1063454111010055

Article

Application of the extreme learning machine algorithm for the prediction of monthly Effective Drought Index in eastern Australia
Deo, Ravinesh C. and Sahin, Mehmet. 2015. "Application of the extreme learning machine algorithm for the prediction of monthly Effective Drought Index in eastern Australia." Atmospheric Research. 153, pp. 512-525. https://doi.org/10.1016/j.atmosres.2014.10.016

Article

Applications of topology optimization techniques in seismic design of structure
Ghabraie, Kazem. 2012. "Applications of topology optimization techniques in seismic design of structure." Plevris, Vagelis, Mitropoulou, Chara Ch. and Lagaros, Nikos D. (ed.) Structural seismic design optimization and earthquake engineering: formulations and applications. Hershey, PA. United States. IGI Global. pp. 232-268

Edited book (chapter)

Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets
Smarandache, Florentin, Ali, Mumtaz and Khan, Mohsin. 2019. "Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets." Kahraman, Cengiz and Otay, Irem (ed.) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Cham, Switzerland. Springer. pp. 25-42

Edited book (chapter)

Attractors and centre manifolds in nonlinear diffusion
Strunin, Dmitry V.. 2005. "Attractors and centre manifolds in nonlinear diffusion." 2nd International Conference on Scientific Computing and Partial Differential Equations & The First East Asian SIAM Symposium. Hong Kong, China 12 - 16 Dec 2005 Hong Kong.

Paper

Attractors in confined source problems for coupled nonlinear diffusion
Strunin, Dmitry V.. 2007. "Attractors in confined source problems for coupled nonlinear diffusion." SIAM Journal on Applied Mathematics. 67 (6), pp. 1654-1674. https://doi.org/10.1137/060657923

Article

BEM-NN computation of generalised Newtonian flows
Tran, Canh-D. and Tran-Cong, T.. 2002. "BEM-NN computation of generalised Newtonian flows." Engineering Analysis with Boundary Elements. 26 (1), pp. 15-28. https://doi.org/10.1016/S0955-7997(01)00085-6

Article

Bi-directional grid absorption barrier constrained stochastic processes with applications in finance and investment
Taranto, Aldo and Khan, Shahjahan. 2020. "Bi-directional grid absorption barrier constrained stochastic processes with applications in finance and investment." Risk Governance & Control: Financial Markets & Institutions. 10 (3), pp. 20-33. https://doi.org/10.22495/rgcv10i3p2

Article

Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye
Bauer, S. M., Ermakov, A. M., Kotliar, K. E. and Voronkova, E. B.. 2010. "Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye." 2010 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2010). Fort Lauderdale, United States of America 02 - 06 May 2010 Association for Research in Vision and Ophthalmology (ARVO).

Paper

BMICA-independent component analysis based on B-spline mutual information estimator
Walters-Williams, Janett and Li, Yan. 2012. "BMICA-independent component analysis based on B-spline mutual information estimator." Signal and Image Processing. 3 (2), pp. 33-52. https://doi.org/10.5121/sipij.2012.3203

Article

Boundary integral-based domain decomposition technique for solution of Navier Stokes equations
Mai-Duy, N. and Tran-Cong, T.. 2004. "Boundary integral-based domain decomposition technique for solution of Navier Stokes equations." CMES Computer Modeling in Engineering and Sciences. 6 (1), pp. 59-75. https://doi.org/10.3970/cmes.2004.006.059

Article

Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations
Nguyen-Van, H., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations." Computers and Structures. 89 (7-8), pp. 612-625. https://doi.org/10.1016/j.compstruc.2011.01.005

Article

Buckling of a spherical segment under the flat base load
Bauer, Svetlana and Ermakov, Andrei. 2013. "Buckling of a spherical segment under the flat base load." Lellep, J. and Puman, E. (ed.) 2nd International Conference on Optimization and Analysis of Structures (OAS 2013). Tartu, Estonia 25 - 27 Aug 2013 Tartu, Estonia.

Paper

Characteristics of solutions in softening plasticity and path criterion
Chen, G. and Baker, Graham. 2003. "Characteristics of solutions in softening plasticity and path criterion." Structural Engineering and Mechanics. 16 (2), pp. 141-152.

Article

Coarse-graining, compressibility, and thermal fluctuation scaling in dissipative particle dynamics employed with pre-determined input parameters
Mai-Duy, N., Phan-Thien, N., Nguyen, T. Y. N. and Tran-Cong, T.. 2020. "Coarse-graining, compressibility, and thermal fluctuation scaling in dissipative particle dynamics employed with pre-determined input parameters." Physics of Fluids. 32 (5). https://doi.org/10.1063/5.0010275

Article

Compact approximation stencils based on integrated flat radial basis functions
Mai-Duy, N., Le, T. T. V., Tien, C. M. T., Ngo-Cong, D. and Tran-Cong, T.. 2017. "Compact approximation stencils based on integrated flat radial basis functions." Engineering Analysis with Boundary Elements. 74, pp. 79-87. https://doi.org/10.1016/j.enganabound.2016.11.002

Article

Compact local approximations employed with integrated RBFs for second-order elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2011. "Compact local approximations employed with integrated RBFs for second-order elliptic differential equations." Yang, Yeong-Bin, Leu, Liang-Jenq and Chen, Chuin-Shan David (ed.) 3rd International Symposium on Computational Mechanics (ISCM III) and 2nd Symposium on Computational Structural Engineering (CSE II). Taipei, Taiwan 05 - 07 Dec 2011 Taiwan.

Presentation

Compact local integrated RBF stencil based on finite volume formulation for second-order differential problems
Hoang-Trieu, T.-T., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "Compact local integrated RBF stencil based on finite volume formulation for second-order differential 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

Compact local integrated-RBF approximations for second-order elliptic differential problems
Mai-Duy, N. and Tran-Cong, T.. 2011. "Compact local integrated-RBF approximations for second-order elliptic differential problems." Journal of Computational Physics. 230 (12), pp. 4772-4794. https://doi.org/10.1016/j.jcp.2011.03.002

Article

Compact local IRBF and domain decomposition method for solving PDEs using a distributed termination detection based parallel algorithm
Pham-Sy, N., Tran, C.-D., Hoang-Trieu, T.-T., Mai-Duy, N. and Tran-Cong, T.. 2013. "Compact local IRBF and domain decomposition method for solving PDEs using a distributed termination detection based parallel algorithm." CMES Computer Modeling in Engineering and Sciences. 92 (1), pp. 1-31. https://doi.org/10.3970/cmes.2013.092.001

Article

Compact non-symmetric and symmetric stencils based on integrated radial basis functions for differential problems
Le, Thi Thuy Van. 2019. Compact non-symmetric and symmetric stencils based on integrated radial basis functions for differential problems. PhD Thesis Doctor of Philosophy. University of Southern Queensland. https://doi.org/10.26192/9x2n-gb05

PhD Thesis

Comparison of BEM-FFNN and BEM-RBFN methods for GNF flow analysis
Tran, C., Mai-Duy, N. and Tran-Cong, T.. 2000. "Comparison of BEM-FFNN and BEM-RBFN methods for GNF flow analysis." The XIIIth International Congress on Rheology. Cambridge, United Kingdom 20 - 25 Aug 2000 United Kingdom.

Paper