Items where Subject is "Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Solution of Differential and Integral Equations (010302)"
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Number of items at this level: 57.
Back, Julian M., McCue, Scott W., Hsieh, Mike Hou-Ning, & Moroney, Timothy J. (2014) The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem. Applied Mathematics and Computation, 229, pp. 41-52.
Bhowmick, Sidhartha, Molla, Md. Mamun, & Saha, Suvash (2013) Non-Newtonian natural convection flow along an isothermal horizontal circular cylinder using modified power-law model. American Journal of Fluid Dynamics, 3(2), pp. 20-30.
Carr, Elliot Joseph, Turner, Ian, & Perre, Patrick (2013) A dual-scale modelling approach for drying hygroscopic porous media. Multiscale Modeling and Simulation, 11(1), pp. 362-384.
Chang, Sun Woo, Clement, T. Prabhakar, Simpson, Matthew J., & Lee, Kang-Kun (2011) Does sea-level rise have an impact on saltwater intrusion? Advances in Water Resources, 34(10), pp. 1283-1291.
Chyba, Monique, Haberkorn, Thomas, Smith, Ryan N., & Choi, S.K. (2008) Design and implementation of time efficient trajectories for an underwater vehicle. Ocean Engineering, 35(1), pp. 63-76.
Cumming, Benjamin, Moroney, Timothy J., & Turner, Ian (2011) A mass-conservative control volume-finite element method for solving Richards’ equation in heterogeneous porous media. BIT Numerical Mathematics.
Dallaston, Michael C. & McCue, Scott W. (2011) Numerical solution to the Saffman-Taylor finger problem with kinetic undercooling regularisation. ANZIAM Journal, 52, C124-C138.
Dargaville, Steven & Farrell, Troy W. (2015) A least squares based finite volume method for the Cahn-Hilliard and Cahn-Hilliard-reaction equations. Journal of Computational and Applied Mathematics, 273, pp. 255-244.
Desseaux , Andre & Kelson, Neil A. (2000) Flow of a micropolar fluid bounded by a stretching sheet. ANZIAM Journal, 42 (E), C536-C560.
Gu, YuanTong & Zhuang, Pinghui (2012) Anomalous subdiffusion equations by the meshless collocation method. Australian Journal of Mechanical Engineering, 10(1), pp. 1-8.
Hejazi, Hala, Moroney, Tim, & Liu, Fawang (2013) A comparison of finite difference and finite volume methods for solving the space-fractional advection-dispersion equation with variable coefficients. The ANZIAM Journal, 54, C557-C573.
Hejazi, Hala, Moroney, Timothy, & Liu, Fawang (2013) A finite volume method for solving the two-sided time-space fractional advection-dispersion equation. Central European Journal of Physics, 11(10), pp. 1275-1283.
Islam, Shams Ul, Abbasi, Waqas Sarwar, Saha, Suvash C., Ying, Zhou Chao, & Gu, YuanTong (2013) Numerical simulation of flow past four square cylinders in an in-line square configuration using the Lattice Boltzmann method for various separation ratios. KSCE Journal of Civil Engineering. (In Press)
Li, Changpin, Zeng, Fanhai, & Liu, Fawang (2012) Spectral approximations to the fractional integral and derivative. Fractional Calculus and Applied Analysis, 15(3), pp. 383-406.
Liu, Fawang, Yang, Qianqian, & Turner, Ian (2011) Two new implicit numerical methods for the fractional cable equation. Journal Of Computational And Nonlinear Dynamics, 6(1), pp. 1-7.
Liu, Qingxia, Liu, Fawang, Turner, Ian, Anh, Vo, & Gu, YuanTong (2014) A RBF meshless approach for modeling a fractal mobile/immobile transport model. Applied Mathematics and Computation, 226, pp. 336-347.
Mat Isa, Zaiton, Fulford, Glenn, & Kelson, Neil A. (2011) Simulation of phosphine flow in vertical grain storage : a preliminary numerical study. ANZIAM Journal, 52, C759-C772.
Mayo, Lisa C., McCue, Scott W., & Moroney, Timothy J. (2013) Numerical solutions for thin film flow down the outside and inside of a vertical cylinder. The ANZIAM Journal, 54, C377-C393.
Mayo, Lisa C., McCue, Scott W., Moroney, Timothy J., Forster, W. Alison, Kempthorne, Daryl M., Belward, John A., et al. (2015) Simulating droplet motion on virtual leaf surfaces. Royal Society Open Science, 2(5), p. 140528.
McCue, Scott W., Hsieh, Mike, Moroney, Timothy J., & Nelson, Mark I. (2011) Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres. SIAM Journal on Applied Mathematics (SIAP), 71(6), pp. 2287-2311.
Moroney, Timothy J. & Truscott, Simon (2008) A method of lines approach for modelling saltwater intrusion in coastal aquifiers. Australian & New Zealand Industrial and Applied Mathematics, 50, pp. 625-639.
Moroney, Timothy J. & Yang, Qianqian (2013) Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners. Journal of Computational Physics, 246, pp. 304-317.
Moroney, Timothy J. & Yang, Qianqian (2013) A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation. Computers & Mathematics with Applications.
Nie, Yufeng, Liu, Ying, Gu, YuanTong, & Fan, Xiangjuo (2009) Fast searching algorithm for candidate satellite-node set in NLMG. CMES-Computer Modeling in Engineering & Sciences, 45(1), pp. 31-55.
Perre, Patrick & Turner, Ian (2008) A mesoscopic drying model applied to the growth rings of softwood: mesh generation and simulation results. Maderas: ciencia y tecnologia, 10(3), pp. 251-274.
Pethiyagoda, Ravindra, McCue, Scott W., Moroney, Timothy J., & Back, Julian M. (2014) Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns. Journal of Computational Physics, 269, pp. 297-313.
Saha, Suvash C. & Gu, YuanTong (2012) Free convection in a triangular enclosure with fluid-saturated porous medium and internal heat generation. The ANZIAM Journal, 53, C127-C141.
Saha, Suvash C. & Gu, YuanTong (2012) Natural convection in a triangular enclosure due to non-uniform cooling on top. The ANZIAM Journal, 53, C53-C68.
Saha, Suvash C. & Gu, YuanTong (2012) Prandtl number scaling of natural convection of the flow on an inclined at plate due to uniform surface heat flux. The ANZIAM Journal, 53, C387-C403.
Saleem, M., Hossain, M.A., Saha, S.C., & Gu, Y.T. (2014) Heat transfer analysis of viscous incompressible fluid by combined natural convection and radiation in an open cavity. Mathematical Problems in Engineering, 2014(412480).
Simmons, Alex, Yang, Qianqian, & Moroney, Timothy J. (2015) A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices. Journal of Computational Physics, 287, pp. 254-268.
Sojoudi, Atta, Mazloomi, Ali, Saha, Suvash C., & Gu, YuanTong (2014) Similarity solutions for flow and heat transfer of non-Newtonian fluid over a stretching surface. Journal of Applied Mathematics, 2014, pp. 718319-1.
Sojoudi, Atta, Saha, Suvash C., Gu, YuanTong, & Hossain, Md. Anwar (2013) Steady natural convection of non-Newtonian power-law fluid in a trapezoidal enclosure. Advances in Mechanical Engineering, 2013(653108).
Sojoudi, Atta, Saha, Suvash C., Khezerloo, Marzieh, & Gu, Y. T. (2014) Unsteady natural convection within a porous enclosure of sinusoidal corrugated side walls. Transport in Porous Media, 104(3), pp. 537-552.
Trisilowati, , McCue, Scott W., & Mallet, Daniel G. (2013) Numerical solution of an optimal control model of dendritic cell treatment of a growing tumour. ANZIAM Journal, 54, C664-C680.
Yang, Qianqian, Liu, Fawang, & Turner, Ian (2009) Computationally efficient numerical methods for time- and space-fractional Fokker–Planck equations. Physica Scripta, T136, pp. 1-7.
Yang, Qianqian, Liu, Fawang, & Turner, Ian (2010) Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term. International Journal of Differential Equations, 2010, pp. 1-22.
Yang, Qianqian, Moroney, Timothy J., Burrage, Kevin, Turner, Ian, & Liu, Fawang (2011) Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Australian and New Zealand Industrial and Applied Mathematics Journal, 52, C395-C409.
Yang, Qianqian, Turner, Ian, & Liu, Fawang (2009) Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM), 50, C800-C814.
Yang, Qianqian, Turner, Ian, Liu, Fawang, & Ilic, Milos (2011) Novel numerical methods for solving the time-space fractional diffusion equation in 2D. SIAM Journal on Scientific Computing (SISC), 33(3), pp. 1159-1180.
Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang (2014) A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations. Applied Mathematical Modelling, 38(15-16), pp. 3755-3762.
Yao, Hong-Mei, Tade, Moses O., & Tian, Yu-Chu (2010) Accelerated computation of cyclic steady state for simulated-moving-bed processes. Chemical Engineering Science, 65(5), pp. 1694-1704.
Adams, Matthew P., Mallet, Daniel G., & Pettet, Graeme J. (2012) Solution methods for advection-diffusion-reaction equations on growing domains and subdomains, with application to modelling skin substitutes. In Gu, YuanTong & Saha, Suvash C. (Eds.) Proceedings of 4th International Conference on Computational Methods (ICCM2012), Gold Coast, Qld, Paper 230.
Baturo, Annette R. (1999) Place value, multiplicativity, reunitizing and effective classroom teaching of decimal numeration. In Proceedings of the 8th South East Asian Conference on Mathematics Education : Mathematics for the 21st Century, Manila.
Chyba, Monique, Haberkorn, Thomas, Smith, Ryan N., Choi, Song K., Mariani, Giacomo, & McLeod, Chris (2008) Efficient control of an autonomous underwater vehicle while accounting for thruster failure. In Proceedings of the 7th International Conference on Computer Applications and Information Technology in the Maritime Industries, COMPIT 2008, Bedford Hotel, Brussels.
Islam, Majedul, Karim, Azharul, Saha, Suvash C., Yarlagadda, Prasad K., Miller, Sarah , & Ullah, Ihsan (2012) Visualization of thermal characteristics around the absorber tube of a standard parabolic trough thermal collector by 3D simulation. In Gu, YuanTong & Saha, Suvash C. (Eds.) Proceedings of the 4th International Conference on Computational Methods (ICCM2012), School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, Crowne Plaza, Gold Coast, Australia.
Kelson, Neil A., Desseaux, Andre, & McElwain, Sean (2000) Limiting solutions and linearised analysis of micropolar flow driven by a porous stretching surface. In Brassington, Gary B. & Patterson, John C. (Eds.) Seventh Australasian Conference on Heat and Mass Transfer, July, 2000, James Cook University, Townsville.
Kelson, Neil A. & McElwain, Sean (1996) Modelling ideal turbulent vortex breakdown. In Yuen, Wai Yee Daniel, Broadbridge, Philip, & Steiner, Joseph M. (Eds.) Proceedings of the Second Biennial Australian Engineering Mathematics Conference: 1996; Engineering Mathematics; Research, Education and Industry Linkage, Sydney, NSW.
Kelson, Neil A., McElwain, Sean, & Truelove, John (1996) RNG and k-e Modelling of confined swirling flow. In May, R. L. & Easton, A. K. (Eds.) Biennial Conference on Computational Techniques and Applications, 3-5 July 1995, Swinburne University of Technology, Melbourne, Victoria.
Kumar, Chandan, Joardder, Mohammad Uzzal Hossain, Farrell, Troy W., Millar, Graeme J., & Karim, Azharul (2014) Multiphase porous media model for heat and mass transfer during drying of agricultural products. In 19th Australasian Fluid Mechanics Conference, 8-11 December 2014, RMIT University, Melbourne, VIC.
Nantes, Alfredo, Ngoduy, Dong, Miska, Marc, & Chung, Edward (2013) Traffic state estimation from partial Bluetooth and volume observations : case study in the Brisbane metropolitan area. In (Ed.) Proceedings of the 18th International Conference of Hong Kong Society for Transportation Studies, Hong Kong, China.
Yang, Qianqian, Liu, Fawang, & Turner, Ian (2008) Numerical solution techniques for time- and space-fractional Fokker-Planck equations. In Sabatier, J., Magin, R., Vinagre, B., & Baleanu, D. (Eds.) Proceedings of the 3rd International Federation of Automatic Control (IFAC) Workshop on Fractional Differentiation and its Applications, 5 - 7 November 2008, Ankara, Turkey.
Yang, Qianqian, Moroney, Timothy J., Liu, Fawang, & Turner, Ian (2012) Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation. In 5th IFAC Symposium on Fractional Differentiation and its Applications, 14-17 May 2012, Hohai University, Nanjing, China.
Yang, Qianqian, Turner, Ian, & Liu, Fawang (2008) Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. In ANZIAM Journal : Proceedings of the 4th Biennial Computational Techniques and Applications Conference (CTAC2008), Australian National University, Canberra, C800-C814.
Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang (2012) A preconditioned Lanczos method for space-fractional reaction-diffusion equations on two-dimensional unstructured meshes. In Gu, YuanTong (Ed.) 4th International Conference on Computational Methods (ICCM2012), 25-28 November 2012, Crowne Plaza, Gold Coast, QLD.
Carr, Elliot (2013) Two-scale computational modelling of unsaturated flow in soils exhibiting small scale heterogeneities. [Working Paper] (Unpublished)
Simpson, Daniel P., Turner, Ian W., & Ilic, Milos (2009) A generalised matrix transfer technique for the numerical solution of fractional-in-space partial differential equations. (Unpublished)