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- Fields of Research (FOR 2008) (24214)
- 01 Mathematical Sciences (1010)
- 0103 Numerical and Computational Mathematics (325)
**010302 Numerical Solution of Differential and Integral Equations**(122)

- 0103 Numerical and Computational Mathematics (325)

- 01 Mathematical Sciences (1010)

Number of items at this level: **122**.

Taranto, Aldo ORCID: https://orcid.org/0000-0001-6763-4997 and Khan, Shahjahan ORCID: https://orcid.org/0000-0002-0446-086X and Addie, Ron
(2021)
*Iterated Logarithm Bounds of Bi-Directional Grid Constrained Stochastic Processes.*
arXiv, 3 Mar 2021.
pp. 1-21.

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.
(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 - Article 2018058).
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 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.
(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. 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)]

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

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-Mar).
pp. 128-147.
ISSN 1007-5704

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. 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. 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. 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. 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. 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. 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. 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.