4903. Numerical and computational mathematics
| Title | 4903. Numerical and computational mathematics |
|---|---|
| Parent | 49. Mathematical Sciences |
Latest research outputs
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A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems
An-Vo, D. A., Mai-Duy, N. and Tran-Cong, T.. 2011. "A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems." CMES Computer Modeling in Engineering and Sciences. 72 (4), pp. 299-334. https://doi.org/10.3970/cmes.2011.072.299Article
A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains
Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains." Numerical Methods for Partial Differential Equations. 23 (5), pp. 1192-1210. https://doi.org/10.1002/num.20217Article
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 Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "A Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems." CMES Computer Modeling in Engineering and Sciences. 51 (3), pp. 213-238. https://doi.org/10.3970/cmes.2009.051.213Article
A Cartesian-grid integrated-RBF Galerkin technique
Ho-Minh, D., Mai-Duy, N. and Tran-Cong, T.. 2010. "A Cartesian-grid integrated-RBF Galerkin technique." Sarler, Bozidar and Atluri, Satya N. (ed.) Recent studies in meshless and other novel computational methods. Duluth, GA. USA. Tech Science Press. pp. 87-102Edited book (chapter)
A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs
Mai-Duy, N. and Tanner, R. I.. 2007. "A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs." International Journal of Numerical Methods for Heat and Fluid Flow. 17 (2), pp. 165-186. https://doi.org/10.1108/09615530710723948Article
A compact five-point stencil based on integrated RBFs for 2D second-order differential problems
Mai-Duy, N. and Tran-Cong, T.. 2013. "A compact five-point stencil based on integrated RBFs for 2D second-order differential problems." Journal of Computational Physics. 235, pp. 302-321. https://doi.org/10.1016/j.jcp.2012.10.048Article
A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows
Tran, C.-D., Mai-Duy, N., Le-Cao, K. and Tran-Cong, T.. 2012. "A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows." CMES Computer Modeling in Engineering and Sciences. 85 (6), pp. 499-519. https://doi.org/10.3970/cmes.2012.085.499Article
A contour-based approach to image compression
Scarmana, Gabriel. 2011. "A contour-based approach to image compression." 2011 International Conference on Digital Image Computing: Techniques and Application (DICTA 2011). Noosa, Australia 06 - 08 Dec 2011 Los Alamitos, CA. United States. https://doi.org/10.1109/DICTA.2011.38Paper
A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
Ngo-Cong, Duc, Mai-Duy, Nam, Antille, Diogenes L. and van Genuchten, Martinus Th.. 2020. "A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation." Journal of Hydrology. 580, pp. 1-10. https://doi.org/10.1016/j.jhydrol.2019.124240Article
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 corrected quadrature formula and applications
Ujevic, Nenad and Roberts, A. J.. 2004. "A corrected quadrature formula and applications." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 45 (E), pp. E41-E56.Article
A direct forcing immersed boundary method employed with compact integrated RBF approximations for heat transfer and fluid flow problems
Thai-Quang, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2013. "A direct forcing immersed boundary method employed with compact integrated RBF approximations for heat transfer and fluid flow problems." CMES Computer Modeling in Engineering and Sciences. 96 (1), pp. 49-90. https://doi.org/10.3970/cmes.2013.096.049Article
A dissipative particle dynamics model for thixotropic materials exhibiting pseudo-yield stress behaviour
Le-Cao, K., Phan-Thien, N., Khoo, B. C. and Mai-Duy, N.. 2017. "A dissipative particle dynamics model for thixotropic materials exhibiting pseudo-yield stress behaviour." Journal of Non-Newtonian Fluid Mechanics. 241, pp. 1-13. https://doi.org/10.1016/j.jnnfm.2017.01.004Article
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 finite-volume method based on compact local integrated radial basis function approximations for second-order differential problems
Hoang-Trieu, T.-T., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2013. "A finite-volume method based on compact local integrated radial basis function approximations for second-order differential problems." CMES Computer Modeling in Engineering and Sciences. 91 (6), pp. 485-516. https://doi.org/10.3970/cmes.2013.091.485Article
A force method model for static analysis of transmission line system subjected to in-plane and out-of-plane loadings
Ma, Xing, Mills, Julie E., Brown, Graham and Zhuge, Yan. 2012. "A force method model for static analysis of transmission line system subjected to in-plane and out-of-plane loadings." Advanced Materials Research. 368-373, pp. 3535-3538. https://doi.org/10.4028/www.scientific.net/AMR.368-373.3535Article
A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils
Ngo-Cong, D., Tien, C.M.T., Nguyen-Ky, T., An-Vo, D.-A., Mai-Duy, N., Strunin, D. V. and Tran-Cong, T.. 2017. "A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils." International Journal for Numerical Methods in Fluids. 85 (7), pp. 404-429. https://doi.org/10.1002/fld.4386Article
A high-order compact integrated-RBF scheme for time-dependent problems
Thai-Quang, N., Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "A high-order compact integrated-RBF scheme for time-dependent 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
A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains
Mai-Duy, N. and Gu, Y. T.. 2023. "A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains." Engineering Analysis with Boundary Elements. 154, pp. 223-237. https://doi.org/10.1016/j.enganabound.2023.05.038Article
A high-order time-kernel BIEM for the Burgers equation
Mai-Duy, Nam, Tran-Cong, Thanh and Tanner, R. I.. 2006. "A high-order time-kernel BIEM for the Burgers equation." Gatmiri, B., Sellier, A. and Aliabadi, M. H. (ed.) International Conference on Boundary Element Techniques VII. Paris, France 04 - 06 Sep 2006 Eastleigh, United Kingdom.Paper
A hybrid particle swarm evolutionary algorithm for constrained multi-objective optimization
Wei, Jingxuan, Wang, Yuping and Wang, Hua. 2010. "A hybrid particle swarm evolutionary algorithm for constrained multi-objective optimization." Computing and Informatics. 29 (5), pp. 701-708.Article
A long-period planet orbiting a nearby Sun-like star
Jones, Hugh R. A., Butler, R. Paul, Tinney, C. G., O'Toole, Simon, Wittenmyer, Rob, Henry, Gregory W., Meschiari, Stefano, Vogt, Steve, Rivera, Eugenio, Laughlin, Greg, Carter, Brad D., Bailey, Jeremy and Jenkins, James S.. 2010. "A long-period planet orbiting a nearby Sun-like star." Monthly Notices of the Royal Astronomical Society. 403 (4), pp. 1703-1713. https://doi.org/10.1111/j.1365-2966.2009.16232.xArticle
A mathematical model for the proliferation, accumulation and spread of pathogenic proteins along neuronal pathways with locally anomalous trapping
Angstmann, C. N., Donnelly, I. C., Henry, B. I. and Langlands, T. A. M.. 2016. "A mathematical model for the proliferation, accumulation and spread of pathogenic proteins along neuronal pathways with locally anomalous trapping." Mathematical Modelling of Natural Phenomena (MMNP). 11 (3), pp. 142-156. https://doi.org/10.1051/mmnp/20161139Article
A meshless IRBFN-based method for transient problems
Mai-Cao, L. and Tran-Cong, T.. 2005. "A meshless IRBFN-based method for transient problems." CMES Computer Modeling in Engineering and Sciences. 7 (2), pp. 149-171.Article
A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2006. "A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension." Nguyen, Son Q. and Nguyen, Dung (ed.) 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today. Ho Chi Minh City, Vietnam 11 - 14 Dec 2006 Paris, France.Paper
A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2007. "A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials." Taylor, R. L., Papadopoulos, P. and Zohdi, T. I. (ed.) USNCCM9: 9th US National Congress on Computational Mechanics. San Francisco, United States 22 - 26 Jul 2007 Austin, TX. United States.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 microstructure model for viscoelastic–thixotropic fluids
Le-Cao, K., Phan-Thien, N., Mai-Duy, N., Ooi, S. K., Lee, A. C. and Khoo, B. C.. 2020. "A microstructure model for viscoelastic–thixotropic fluids." Physics of Fluids. 32. https://doi.org/10.1063/5.0033199Article
A moving IRBFN-based Galerkin meshless method
Le, Phong B. H., Rabczuk, Timon, Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A moving IRBFN-based Galerkin meshless method." CMES Computer Modeling in Engineering and Sciences. 66 (1), pp. 25-52. https://doi.org/10.3970/cmes.2010.066.025Article
A moving IRBFN-based integration-free meshless method
Le, Phong B. H., Rabczuk, Timon, Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A moving IRBFN-based integration-free meshless method." CMES Computer Modeling in Engineering and Sciences. 61 (1), pp. 63-109. https://doi.org/10.3970/cmes.2010.061.063Article
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
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 multiscale method based on the fibre configuration field, IRBF and DAVSS for the simulation of fibre suspension flows
Nguyen, H. Q., Tran, C.-D. and Tran-Cong, T.. 2015. "A multiscale method based on the fibre configuration field, IRBF and DAVSS for the simulation of fibre suspension flows." CMES: Computer Modeling in Engineering and Science. 109 (4), pp. 361-403. https://doi.org/10.3970/cmes.2015.109.361Article
A new data-driven topology optimization framework for structural optimization
Zhou, Ying, Zhan, Haifei, Zhang, Weihong, Zhu, Jihong, Bai, Jinshuai, Wang, Qingxia and Gu, Yuantong. 2020. "A new data-driven topology optimization framework for structural optimization." Computers and Structures. 239, pp. 1-16. https://doi.org/10.1016/j.compstruc.2020.106310Article
A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation
Mai-Duy, N., Strunin, D. and Karunasena, W.. 2022. "A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation." Engineering Analysis with Boundary Elements. 143, pp. 687-699. https://doi.org/10.1016/j.enganabound.2022.07.014Article
A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems
Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2010. "A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 United Kingdom. Informa UK(IOP Books). https://doi.org/10.1088/1757-899X/10/1/012021Paper
A new IRBFN scheme for the numerical simulation of interfacial flows
Mai-Cao, L. and Tran-Cong, T.. 2012. "A new IRBFN scheme for the numerical simulation of interfacial flows." 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
A new teletraffic approach for network planning and evolution prediction
Abramov, Vyacheslav, Addie, Ronald G., Li, Fan, Peng, Yu and Zukerman, Moshe. 2012. "A new teletraffic approach for network planning and evolution prediction." 2012 Optical Fiber Communication Conference (OFC 2012). Los Angeles, United States 04 - 08 Mar 2012 Washington, DC. United States.Paper
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.2008.036.065Article