4903. Numerical and computational mathematics


Title4903. Numerical and computational mathematics
Parent49. Mathematical Sciences

Latest research outputs

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Radial-basis-function calculations of buoyancy-driven flow in concentric and eccentric annuli
Le-Cao, Khoa, Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "Radial-basis-function calculations of buoyancy-driven flow in concentric and eccentric annuli." 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

A coupled numerical approach for nonlinear dynamic fluid‐structure interaction analysis of a near‐bed submarine pipeline
Gu, Y.T. and Wang, Q.. 2008. "A coupled numerical approach for nonlinear dynamic fluid‐structure interaction analysis of a near‐bed submarine pipeline." Engineering Computations: international journal for computer-aided engineering and software. 25 (6), pp. 569-588. https://doi.org/10.1108/02644400810891553

Article

Computer algebra models dynamics on a multigrid across multiple length and time scales
Roberts, A. J.. 2007. Computer algebra models dynamics on a multigrid across multiple length and time scales.

Technical report

Enhanced approach to consistency in gradient-dependent plasticity
Chen, G. and Baker, Graham. 2004. "Enhanced approach to consistency in gradient-dependent plasticity." Advances in Structural Engineering: an international journal. 7 (3), pp. 279-283. https://doi.org/10.1260/136943304323213229

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

Indirect RBFN method with thin plate splines for numerical solution of differential equations
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. https://doi.org/10.3970/cmes.2003.004.085

Article

Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations
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. https://doi.org/10.1016/S0955-7997(01)00092-3

Article

Surface-wave propagation on a grounded dielectric slab covered by a high-permittivity material
Ball, James A. R. and Horsfield, Brendan. 2000. "Surface-wave propagation on a grounded dielectric slab covered by a high-permittivity material." IEEE Microwave and Guided Wave Letters. 10 (5), pp. 171-173. https://doi.org/10.1109/75.850367

Article

Computing dynamics of copper-based SMA via center manifold reduction of 3D models
Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2000. "Computing dynamics of copper-based SMA via center manifold reduction of 3D models." Computational Materials Science. 18 (3/4), pp. 255-268.

Article

Developmental algorithms have meaning
Green, John. 1997. "Developmental algorithms have meaning." Australian Mathematics Teacher. 53 (4), pp. 40 - 44.

Article

Aircrew schedule generation using repeated matching
Wark, Peter, Holt, John, Ronnqvist, Mikael and Ryan, David. 1997. "Aircrew schedule generation using repeated matching." European Journal of Operational Research. 102 (1), pp. 21-35. https://doi.org/10.1016/S0377-2217(96)00225-1

Article

Models encompassing hydraulic jumps in radial flows over a horizontal plate
Strunin, Dmitry and Roberts, Tony. 2001. "Models encompassing hydraulic jumps in radial flows over a horizontal plate." Kluev, Vitaly and Mastorakis, Nikos (ed.) 2nd WSEAS Multiconference on Applied and Theoretical Mathematics (WSEAS 2001). Cairns, Australia 17 - 23 Dec 2001 Greece.

Paper

Quantitative analysis of queue management schemes in TCP/IP network routers
Li, Zhenquan, Zhang, Zhongwei and Zhou, Hong. 2004. "Quantitative analysis of queue management schemes in TCP/IP network routers." Safaei, F. (ed.) Australian Telecommunications Networks and Applications Conference (ATNAC 2004). Sydney, Australia 08 - 10 Dec 2004 Canberra, Australia.

Paper

Admission control schemes for bursty multimedia traffic
Lee, Teck Kiong, Zukerman, Moshe and Addie, Ronald G.. 2001. "Admission control schemes for bursty multimedia traffic." Cruz, R. and Pacifici, G. (ed.) 20th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM 2001). Anchorage, United States 22 - 26 Apr 2001 Piscataway, NJ. United States. https://doi.org/10.1109/INFCOM.2001.916739

Paper

A tradeoff between increased network speed and reduced effective bandwidths
Neame, Timothy D., Zukerman, Moshe and Addie, Ronald G.. 2001. "A tradeoff between increased network speed and reduced effective bandwidths." Nuevo, Y. (ed.) IEEE International Conference on Communications (ICC 2001): Where Minds Meet. Helsinki, Finland 11 - 14 Jun 2000 Piscataway, NJ. United States. https://doi.org/10.1109/ICC.2001.936741

Paper

New methods in applied and computational mathematics workshop
Melnik, Roderick. 2000. "New methods in applied and computational mathematics workshop ." Stewart, David , Melnik, Roderick and Oliveira, Suely (ed.) New Methods in Applied and Computational Mathematics Workshop (NEMACOM98). Hervey Bay, Australia 09 Jul 1998 Canberra, Australia.

Other

An analytical model for predication of crack spacing due to shrinkage in concrete pavements
Chen, G. and Baker, Graham. 2004. "An analytical model for predication of crack spacing due to shrinkage in concrete pavements." Journal of Structural Engineering. 130 (10), pp. 1529-1533. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:10(1529)

Article

Influence of bond slip on crack spacing in numerical modeling of reinforced concrete
Chen, G. and Baker, Graham. 2003. "Influence of bond slip on crack spacing in numerical modeling of reinforced concrete." Journal of Structural Engineering. 129 (11), pp. 1514-1521. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:11(1514)

Article

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

Holistic discretisation ensures fidelity to Burger's equation
Roberts, A. J.. 2001. "Holistic discretisation ensures fidelity to Burger's equation." Applied Numerical Mathematics. 37 (3), pp. 371-396. https://doi.org/10.1016/S0168-9274(00)00053-2

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 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

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

Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation
Roberts, A. J.. 2006. Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation. Toowoomba, Australia. University of Southern Queensland.

Technical report

Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations
Roberts, A. J.. 2005. Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations. Toowoomba, Australia. University of Southern Queensland.

Technical report

Resolving the multitude of microscale interactions accurately models stochastic partial differential equations
Roberts, A. J.. 2006. "Resolving the multitude of microscale interactions accurately models stochastic partial differential equations." LMS Journal of Computation and Mathematics. 9, pp. 193-221. https://doi.org/10.1112/S146115700000125X

Article

General tooth boundary conditions for equation free modelling
Roberts, A. J. and Kevrekidis, I. G.. 2006. General tooth boundary conditions for equation free modelling. Toowoomba, Australia. University of Southern Queensland.

Technical report

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

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

Paper

Stability of non-Boussinesq convection via the complex Ginzburg-Landau model
Suslov, Sergey A. and Paolucci, Samuel. 2004. "Stability of non-Boussinesq convection via the complex Ginzburg-Landau model." Fluid Dynamics Research. 35 (3), pp. 159-203. https://doi.org/10.1016/j.fluiddyn.2004.06.002

Article

Parallel meshfree TPSRBFN-BCF method for dilute polymer solution
Tran, CD and Tran-Cong, T.. 2003. "Parallel meshfree TPSRBFN-BCF method for dilute polymer solution." The 2nd Korean-Australian Rheology Conference 2003. Gyeongju , Korea 24 - 26 Sep 2003 Korea .

Presentation

A combined meshfree method and molecular dynamics in the multiscale length simulation
Wang, Q.X., Ng, T.Y., Kam, K.Y., Li, Hua and Fan, X.J.. 2002. "A combined meshfree method and molecular dynamics in the multiscale length simulation." Recent Advances In Computational Science And Engineering. Singapore. World Scientific Publishing. pp. 663–666

Edited book (chapter)

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

Comparison study of different head model structures with homogeneous/inhomogeneous conductivity
Wen, P. and Li, Y.. 2001. "Comparison study of different head model structures with homogeneous/inhomogeneous conductivity." Physical and Engineering Sciences in Medicine. 24 (1), pp. 31-36. https://doi.org/10.1007/BF03178283

Article