Browse by Fields of Research (ANZSRC 2020)

Mai-Duy, Nam and Strunin, Dmitry (2021) New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils. Engineering Analysis with Boundary Elements, 125. pp. 12-22. ISSN 0955-7997

Bhanot, Rajeev P. and Strunin, Dmitry V. and Ngo-Cong, Duc (2020) Numerical solution of a highly nonlinear and non-integrable equation using integrated radial basis function network method. Chaos: An Interdisciplinary Journal of Nonlinear Science, 30 (8):083119. ISSN 1054-1500

Mai-Duy, N. and Phan-Thien, N. and 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):053313. ISSN 1070-6631

Mai-Duy, N. and Nguyen, T. Y. N. and Le-Cao, K. and Phan-Thien, N. (2020) Investigation of particulate suspensions in generalised hydrodynamic dissipative particle dynamics using a spring model. Applied Mathematical Modelling, 77 (1). pp. 652-662. ISSN 0307-904X

Le-Cao, K. and Phan-Thien, N. and Mai-Duy, N. and Ooi, S. K. and Lee, A. C. and Khoo, B. C. (2020) A microstructure model for viscoelastic–thixotropic fluids. Physics of Fluids, 32:123106. ISSN 1070-6631

Le, Thi Thuy Van (2019) Compact non-symmetric and symmetric stencils based on integrated radial basis functions for differential problems. [Thesis (PhD/Research)]

Strunin, Dmitry and Ahmed, Fatima (2019) Parameters and branching auto-pulses in a fluid channel with active walls. Fluids, 4 (3).

Osman, S. A and Langlands, T. A. M. ORCID: https://orcid.org/0000-0001-7679-6891 (2019) An implicit Keller Box numerical scheme for the solution of fractional subdiffusion equations. Applied Mathematics and Computation, 348. pp. 609-626. ISSN 0096-3003

Ahmed, Fatima Zain Alabdeen (2019) Simulation of auto-pulses in channel flows between active elastic walls. [Thesis (PhD/Research)]

Ahmed, Fatima Z. and Mohammed, Mayada G. and Strunin, Dmitry V. and Ngo-Cong, Duc (2018) Simulations of autonomous fluid pulses between active elastic walls using the 1D-IRBFN Method. Mathematical Modelling of Natural Phenomena, 13 (5):2018058. pp. 1-25. ISSN 0973-5348

Le, T. T. V. and Mai-Duy, N. and Le-Cao, K. and Tran-Cong, T. (2018) A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems. Numerical Heat Transfer Part B: Fundamentals, 74 (2). pp. 498-518. ISSN 1040-7790

Bauer, Svetlana and Ermakov, Andrei and Kashtanova, Stanislava and Morozov, Nikita (2018) Local stability of a plate with a circular inclusion under tensile stress. In: Shell structures: theory and applications, vol. 4. Taylor & Francis (CRC Press), London, United Kingdom, pp. 199-202. ISBN 978-1-138-05045-7

Ngo-Cong, D. and Tien, C.M.T. and Nguyen-Ky, T. and An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Mai-Duy, N. and 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. ISSN 0271-2091

Mai-Duy, N. and Le, T. T. V. and Tien, C. M. T. and 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. ISSN 0955-7997

Osman, Sheelan Abdulkader (2017) Numerical solution methods for fractional partial differential equations. [Thesis (PhD/Research)]

Alam, Md Jahangir ORCID: https://orcid.org/0000-0001-6621-4720 and Dutta, Dushmanta (2016) A sub-catchment based approach for modelling nutrient dynamics and transport at a river basin scale. Water Resources Management, 30 (14). pp. 5455-5478. ISSN 0920-4741

Ahmed, F. Z. and Strunin, D. V. and Mohammed, M. G. and Bhanot, R. P. (2016) Numerical solution for the fluid flow between active elastic walls. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 57. C221-C234. ISSN 1446-1811

Angstmann, C. N. and Donnelly, I. C. and Henry, B. I. and Langlands, T. A. M. ORCID: https://orcid.org/0000-0001-7679-6891 (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, 11 (3). pp. 142-156. ISSN 0973-5348

Tien, C. M. T and Ngo-Cong, D. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2016) High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications. Computers and Fluids, 131. pp. 151-168. ISSN 0045-7930

Tien, C. M. T. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2016) A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations. Computers and Mathematics with Applications, 72 (9). pp. 2364-2387. ISSN 0898-1221

Angstmann, C. N. and Donnelly, I. C. and Henry, B. I. and Jacobs, B. A. and Langlands, T. A. M. ORCID: https://orcid.org/0000-0001-7679-6891 and Nichols, J. A. (2016) From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations. Journal of Computational Physics, 307. pp. 508-534. ISSN 0021-9991

Nguyen, Hung Quoc (2016) Multiscale stochastic simulation of transient complex flows. [Thesis (PhD/Research)]

Strunin, D. V. and Mohammed, M. G. (2015) Range of validity and intermittent dynamics of the phase of oscillators with nonlinear self-excitation. Communications in Nonlinear Science and Numerical Simulation, 29 (1-3). pp. 128-147. ISSN 1007-5704

Tien, C. M. T. and Thai-Quang, N. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2015) High-order fully coupled scheme based on compact integrated RBF approximation for viscous flows in regular and irregular domains. CMES: Computer Modeling in Engineering and Sciences, 105 (4). pp. 301-340. ISSN 1526-1492

Ngo-Cong, D. and Mohammed, F. J. and Strunin, D. V. and Skvortsov, A. T. and Mai-Duy, N. and Tran-Cong, T. (2015) Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution. Journal of Hydrology, 525. pp. 87-101. ISSN 0022-1694

Mai-Duy, N. and Phan-Thien, N. and Khoo, B. C. (2015) Investigation of particles size effects in Dissipative Particle Dynamics (DPD) modelling of colloidal suspensions. Computer Physics Communications, 189. pp. 37-46. ISSN 0010-4655

Strunin, Dmitry V. and Ngo-Cong, Duc and Bhanot, Rajeev (2015) Using 1D-IRBFN method for solving high-order nonlinear differential equations arising in models of active-dissipative systems. In: 1st Pan-American Congress on Computational Mechanics, (PANACM 2015) in conjunction with the XI Argentine Congress on Computational Mechanics (MECOM 2015), 27-29 April 2015, Buenos Aires, Argentina.

Nikitenkova, S. P. and Raj, N. ORCID: https://orcid.org/0000-0002-8364-2644 and Stepanyants, Y. A. ORCID: https://orcid.org/0000-0003-4546-0310 (2015) Nonlinear vector waves of a flexural mode in a chain model of atomic particles. Communications in Nonlinear Science and Numerical Simulation, 20 (3). pp. 731-742. ISSN 1007-5704

Ermakov, A. M. (2013) Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base. In: 26th Nordic Seminar on Computational Mechanics, 23–25 Oct 2013, Oslo, Norway.

Bauer, Svetlana and Ermakov, Andrei (2013) Buckling of a spherical segment under the flat base load. In: 2nd International Conference on Optimization and Analysis of Structures (OAS 2013), 25–27 Aug 2013 , Tartu, Estonia.

An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2013) ADI method based on C2-continuous two-node integrated-RBF elements for viscous flows. Applied Mathematical Modelling, 37 (7). pp. 5184-5203. ISSN 0307-904X

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. ISSN 0021-9991

Thai-Quang, N. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 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. ISSN 1526-1492

Hoang-Trieu, T.-T. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 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. ISSN 1526-1492

Pham-Sy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Hoang-Trieu, T.-T. and 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. ISSN 1526-1492

Ermakov, Andrei M. (2013) Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells. Lecture Notes in Computer Science, 8236. pp. 279-286. ISSN 0302-9743

Thai-Quang, N. and Le-Cao, K. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2012) A high-order compact integrated-RBF scheme for time-dependent problems. In: 4th International Conference on Computational Methods (ICCM 2012), 25-28 Nov 2012, Gold Coast, Australia.

Mai-Cao, L. and Tran-Cong, T. (2012) A new IRBFN scheme for the numerical simulation of interfacial flows. In: 4th International Conference on Computational Methods (ICCM 2012), 25-28 Nov 2012, Gold Coast, Australia.

Hoang-Trieu, T.-T. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2012) Compact local integrated RBF stencil based on finite volume formulation for second-order differential problems. In: 4th International Conference on Computational Methods (ICCM 2012), 25-28 Nov 2012, Gold Coast, Australia.

Pham-Sy, N. and Hoang-Trieu, T.-T. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, N. and Tran-Cong, T. (2012) Development of parallel algorithm for boundary value problems using compact local integrated RBFN and domain decomposition. In: 4th International Conference on Computational Methods (ICCM 2012), 25-28 Nov 2012, Gold Coast, Australia.

Tran, Canh-Dung ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, Nam and Tran-Cong, Thanh (2012) Computation of a Fokker-Planck-equation-based multi-scale model for complex flows using the IRBFN method. In: 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), 10-14 Sep 2012, Vienna, Austria.

Ermakov, A. (2012) The models of nonclassical anisotropic spherical shells. In: 38th Solid Mechanics Conference, 27–31 Aug 2012, Warsaw, Poland.

Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, N. and Tran-Cong, T. (2012) Numerical solution of Fokker-Planck equation using the integral radial basis function networks. In: 10th World Congress on Computational Mechanics (WCCM 2012), 8-13 Jul 2012, Sao Paulo, Brazil.

Ma, Xing and Mills, Julie E. and 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. ISSN 1662-8985

Obregon, M. A. and Stepanyants, Y. A. ORCID: https://orcid.org/0000-0003-4546-0310 (2012) On numerical solution of the Gardner Ostrovsky equation. Mathematical Modelling of Natural Phenomena, 7 (2). pp. 113-130. ISSN 0973-5348

Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, N. and 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. ISSN 1526-1492

Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. ORCID: https://orcid.org/0000-0003-3636-3068 and Tran-Cong, T. (2012) A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis. CMES: Computer Modeling in Engineering and Sciences, 83 (5). pp. 459-498. ISSN 1526-1492

Thai-Quang, N. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2012) High-order alternating direction implicit method based on compact integrated-RBF approximations for unsteady/steady convection-diffusion equations. CMES: Computer Modeling in Engineering and Sciences, 89 (3). pp. 189-220. ISSN 1526-1492

Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. ORCID: https://orcid.org/0000-0003-3636-3068 and Tran-Cong, T. (2012) Local moving least square - one-dimensional IRBFN technique: part 11 - unsteady incompressible viscous flows. CMES: Computer Modeling in Engineering and Sciences, 83 (3). pp. 311-351. ISSN 1526-1492

An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2012) Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation. In: 34th International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2012), 25-27 Jun 2012, Split, Croatia.

An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, N. and Tran-Cong, T. (2012) RBF computation of multiscale elliptic problems [Keynote paper]. In: 8th ICCES Special Symposium on Meshless & Other Novel Computational Methods (ICCES MM 2012), 2-6 Sep 2012, Budva, Montenegro.

An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, N. and Tran-Cong, T. (2012) RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients. CMES: Computer Modeling in Engineering and Sciences, 89 (4). pp. 303-359. ISSN 1526-1492

Yevdokimov, Oleksiy (2011) Problem set 8. Australian Senior Mathematics Journal, 25 (2). p. 63. ISSN 0819-4564

Bauer, Svetlana M. and Ermakov, Andrei M. and Kashtanova, Stanislava V. and Morozov, Nikita F. (2011) Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells. In: Shell-like structures. Advanced Structural Materials, 15. Springer-Verlag, Heidelberg, Germany, pp. 519-530. ISBN 978-3-642-21854-5

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. ISSN 0021-9991

Yevdokimov, Oleksiy (2011) Problem set 7. Australian Senior Mathematics Journal, 25 (1). p. 64. ISSN 0819-4564

Waite, I. A. and Marsden, S. C. ORCID: https://orcid.org/0000-0001-5522-8887 and Carter, B. D. ORCID: https://orcid.org/0000-0003-0035-8769 and Hart, R. and Donati, J. -F. and Ramirez Velez, J. C. and Semel, M. and Dunstone, N. (2011) Magnetic fields and differential rotation on the pre-main sequence - III. The early-G star HD 106506. Monthly Notices of the Royal Astronomical Society, 413 (3). pp. 1949-1960. ISSN 0035-8711

Le-Cao, K. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2011) Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids. Computers and Fluids, 44 (1). pp. 32-42. ISSN 0045-7930

Nguyen-Van, H. and Mai-Duy, N. and Karunasena, W. ORCID: https://orcid.org/0000-0003-3636-3068 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. ISSN 0045-7949

Bauer, S. M. and Ermakov, A. M. and 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). Article 13. ISSN 1063-4541

Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. ORCID: https://orcid.org/0000-0003-3636-3068 and Tran-Cong, T. (2011) Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method. Computers and Structures, 89 (1-2). pp. 1-13. ISSN 0045-7949

An-Vo, D. A. ORCID: https://orcid.org/0000-0001-7528-7139 and 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. ISSN 1526-1492

Mai-Duy, N. and Tran-Cong, T. and Phan-Thien, N. (2011) A numerical technique based on integrated RBFs for the system evolution in molecular dynamics. CMES: Computer Modeling in Engineering and Sciences, 79 (4). pp. 223-236. ISSN 1526-1492

Mai-Duy, N. and Tran-Cong, T. (2011) A stable and accurate control-volume technique based on integrated radial basis function networks for fluid-flow problems. In: ACAM 6: 6th Australasian Congress on Applied Mechanics , 12-15 Dec 2010, Perth, Western Australia.

Mai-Duy, Nam and Tran-Cong, Thanh (2011) Compact local approximations employed with integrated RBFs for second-order elliptic differential equations. In: 3rd International Symposium on Computational Mechanics (ISCM III) and 2nd Symposium on Computational Structural Engineering (CSE II), 5-7 Dec 2011, Taipei, Taiwan.

An-Vo, D. A. ORCID: https://orcid.org/0000-0001-7528-7139 and Mai-Duy, N. and Tran-Cong, T. (2011) High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows. CMES: Computer Modeling in Engineering and Sciences, 80 (2). pp. 141-177. ISSN 1526-1492

An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, N. and Tran-Cong, T. (2011) IRBFN-based multiscale solution of a model 1D elliptic equation. In: 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011), 28-30 Jun 2011, New Forest, United Kingdom.

Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. ORCID: https://orcid.org/0000-0003-3636-3068 and Tran-Cong, T. (2011) Moving least square: one dimensional integrated radial basis function networks for time dependent problems. In: 33rd International Conference on Boundary Elements and other Mesh Reduction Methods, 28-30 Jun 2011, New Forest, UK.

Ho-Minh, D. and Le-Cao, K. and Mai-Duy, N. and Tran-Cong, T. (2010) Simulation of fluid flows at high Reynolds/Rayleigh numbers using integrated radial basis functions. In: 17th Australasian Fluid Mechanics Conference (AFMC 2010), 5-9 Dec 2010, Auckland, New Zealand.

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. ISSN 0749-159X

Mai-Duy, Nam and Tran-Cong, Thanh (2010) Point-wise integrated-RBF-based discretisation of differential equations. In: 2nd International Symposium on Computational Mechanics (ISCM II) in conjunction with EPMESC 2009, 30 Nov-3 Dec 2009, Hong Kong, Macau.

Ghabraie, Kazem and Xie, Yi Min and Huang, Xiaodong and Ren, Gang (2010) Shape and reinforcement optimization of underground tunnels. Journal of Computational Science and Technology, 4 (1). pp. 51-63.

Le, Phong B. H. and Mai-Duy, Nam and 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. ISSN 0029-5981

Bauer, S. M. and Ermakov, A. M. and Kotliar, K. E. and Voronkova, E. B. (2010) Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye. In: 2010 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2010), 2-6 May 2010, Fort Lauderdale, Florida, USA.

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). 426 -447. ISSN 0749-159X

Le, Phong (2010) RBF-based meshless modeling of strain localization and fracture. [Thesis (PhD/Research)]

Ho-Minh, D. and Mai-Duy, N. and Tran-Cong, T. (2010) A Cartesian-grid integrated-RBF Galerkin technique. In: Recent studies in meshless and other novel computational methods. Tech Science Press, Duluth, GA. USA, pp. 87-102. ISBN 978-0-9824205-4-6

Le, Phong B. H. and Rabczuk, Timon and 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. ISSN 1526-1492

Le, Phong B. H. and Rabczuk, Timon and 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. ISSN 1526-1492

Mai-Duy, Nam and Tran-Cong, Thanh (2010) A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes. In: 2010 International Conference on Computational and Experimental Engineering & Sciences 2010, 28 Mar - 1 Apr 2010, Las Vegas, USA.

Ho-Minh, D. and Mai-Duy, Nam and Tran-Cong, Thanh (2010) Galerkin/collocation methods based on 1D-integrated-RBFNs for viscoelastic flows. CMES: Computer Modeling in Engineering and Sciences, 70 (3). pp. 217-251. ISSN 1526-1492

Le-Cao, K. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2010) Towards an analysis of shear suspension flows using radial basis functions. CMES: Computer Modeling in Engineering and Sciences, 67 (3). pp. 265-294. ISSN 1526-1492

Voronkova, E. and Bauer, S. and Ermakov, A. (2009) Tonometric estimation of mechanical properties of a cornea and sclera. In: 2009 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2009), 3-7 May 2009, Fort Lauderdale, Florida, USA.

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. ISSN 0955-7997

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. ISSN 1526-1492

Mai-Duy, Nam and Tran-Cong, Thanh (2008) A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems. Applied Mathematical Modelling, 32 (12). pp. 2851-2862. ISSN 0307-904X

Mai-Duy, Nam and 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. ISSN 1069-8299

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. ISSN 1069-8299

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. ISSN 0749-159X

Mai-Duy, N. and Tran-Cong, T. (2008) A point-collocation method based on integrated Chebyshev polynomials for elliptic differential equations in irregular domains. In: 8th World Congress on Computational Mechanics (WCCM8), 30 Jun-4 Jul 2008, Venice, Italy.

Yevdokimov, Oleksiy (2008) Problem set 2. Australian Senior Mathematics Journal, 22 (2). pp. 63-64. ISSN 0819-4564

Mai-Duy, N. and Tran-Cong, T. (2008) A meshless technique based on integrated radial basis function networks for elliptic partial differential equations. In: 4th International Workshop on Meshfree Methods for Partial Differential Equations, 17-20 Sep 2007, Bonn, Germany.

Mai-Duy, Nam and Tran-Cong, Thanh (2008) A multidomain integrated RBF collocation method for elliptic differential equations. In: 8th World Congress on Computational Mechanics (WCCM8), and 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008), 30 June - 4 July 2008, Venice, Italy.

Mai-Duy, N. and Tran-Cong, T. (2008) An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations. In: Leading-edge applied mathematical modeling research. Nova Science Publishers, Inc., New York, NY. United States, pp. 215-250. ISBN 978-1-60021-977-1

Mai-Duy, Nam and Tran-Cong, Thanh (2008) On the use of integrated RBFs in Galerkin approximation for elliptic problems. In: BEM/MRM 30: 30th International Conference on Boundary Elements and Other Mesh Reduction Methods, 7-9 Jul 2008, Maribor, Slovenia.

Ermakov, A. M. (2008) Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells. Russian Journal of Biomechanics, 13 (1):43. pp. 47-58. ISSN 1812-5123

Mai-Duy, Nam and Tran-Cong, Thanh (2007) Solving partial differential equations with point collocation and one-dimensional integrated interpolation schemes. In: 14th International Conference on Computational & Experimental Engineering and Sciences, 1-3 Jan 2007, Miami, Florida, USA.

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. ISSN 0749-159X

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. ISSN 0377-0427

Mai-Duy, Nam and Mai-Cao, Lan and Tran-Cong, Thanh (2007) Computation of transient viscous flows using indirect radial basis function networks. CMES: Computer Modeling in Engineering and Sciences, 18 (1). pp. 59-78. ISSN 1526-1492

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. ISSN 0961-5539

Le, Phong and Mai-Duy, Nam and Tran-Cong, Thanh and Baker, Graham (2007) A numerical study of strain localization in elasto-thermo-viscoplastic materials using radial basis function networks. Computers, Materials and Continua, 5 (2). pp. 129-150. ISSN 1546-2218

Nguyen-Van, Hieu and Mai-Duy, Nam and Tran-Cong, Thanh (2007) A simple and accurate four-node quadrilateral element using stabilized nodal integration for laminated plates. CMC: Computers, Materials and Continua, 6 (3). pp. 159-176. ISSN 1546-2218

Mai-Duy, N. and 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. ISSN 0955-7997

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. ISSN 1069-8299

Mai-Duy, Nam and Tran-Cong, Thanh and Tanner, R. I. (2006) A high-order time-kernel BIEM for the Burgers equation. In: International Conference on Boundary Element Techniques VII, 4-6 September 2006, Paris, France.

Roberts, A. J. and Kevrekidis, I. G. (2005) Higher order accuracy in the gap-tooth scheme for large-scale dynamics using microscopic simulators. In: CTAC 2004: 12th Biennial Computational Techniques and Applications Conference, Sep 2004, Melbourne, Australia.

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. ISSN 0029-5981

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. ISSN 1526-1492

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

Sarler, Bozidar and Tran-Cong, Thanh and Chen, Ching S. (2005) Meshfree direct and indirect local radial basis function collocation formulations for transport phenomena. In: 27th World Conference on Boundary Elements and Other Mesh reduction Methods Incorporating Engineering and Electromagnetics (BEM XXVII), 15-18 Mar 2005, Orlando, FL. United States.

Tran, Canh-Dung ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, Thanh (2004) Element-free simulation of dilute polymeric flows using Brownian configuration fields. Korea-Australia Rheology Journal, 16 (1). pp. 1-15. ISSN 1226-119X

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). E41-E56. ISSN 1446-1811

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

Mai-Duy, N. and Tran-Cong, T. (2003) Indirect RBFN method with thin plate splines for numerical solution of differential equations. CMES: Computer Modeling in Engineering and Sciences, 4 (1). pp. 85-102. ISSN 1526-1492

Melnik, Roderick V. N. and Roberts, A. J. (2003) Modelling nonlinear dynamics of shape-memory-alloys with approximate models of coupled thermoelasticity. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 83 (2). pp. 93-104. ISSN 0044-2267

Mai-Duy, Nam and Tran-Cong, Thanh (2003) RBF interpolation of boundary values in the BEM for heat transfer problems. International Journal of Numerical Methods for Heat and Fluid Flow, 13 (5/6). pp. 611-632. ISSN 0961-5539

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. ISSN 0955-7997

Tran, Canh-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2002) BEM-NN computation of generalised Newtonian flows. Engineering Analysis with Boundary Elements, 26 (1). pp. 15-28. ISSN 0955-7997

Tran, Canh-Dung ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, Thanh (2002) Computation of viscoelastic flow using neural networks and stochastic simulation. Korea-Australia Rheology Journal, 14 (4). pp. 161-174. ISSN 1226-119X

Mai-Duy, Nam and Tran-Cong, Thanh (2001) Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks. International Journal for Numerical Methods in Fluids, 37 (1). pp. 65-86. ISSN 0271-2091

Strunin, Dmitry and Roberts, Tony (2001) Models encompassing hydraulic jumps in radial flows over a horizontal plate. In: 2nd WSEAS Multiconference on Applied and Theoretical Mathematics (WSEAS 2001), 17-23 Dec 2001, Cairns, Australia.