Items where Subject is "Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)"

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Book Chapter

Mahabaleswar, U.S. & Saha, Suvash C. (2013) Analytical Solution of a Walters’ Liquid B Flow Over a Linear Stretching Sheet in a Porous Medium. In Zhao, Changying (Ed.) Focus on Porous Media Research. NOVA Science Publishers, Inc, New York, pp. 121-130.

Perre, Patrick, Remond, Romain, & Turner, Ian W. (2007) Comprehensive Drying Models Based on Volume-Averaging: Background, Application and Perspective. In Tsotsas, Evangelos & Mujumdar, Arun S. (Eds.) Modern drying technology: Volume 1: Computational tools at different scales. Wiley-VCH, Weinheim, pp. 1-55.

Perre, Patrick & Turner, Ian W. (2007) Coupled heat and mass transfer. In Perre, Patrick (Ed.) Fundamentals of wood drying. A.R.BO.LOR, Nancy, France, pp. 203-241.

Journal Article

Anh, Vo, Chen, Chang-Ming, & Liu, Fawang (2008) A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second grade fluid with fractional derivative. Journal of Computational and Applied Mathematics, 223(2), pp. 777-789.
Number of full-text downloads 149
Number of citations in Scopus 27
Number of citations in Web of ScienceĀ® 23

Anh, Vo, Liu, Fawang, Shen, S, & Turner, Ian (2008) The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. IMA Journal of Applied Mathematics, 73, pp. 850-872.
Number of citations in Scopus 43
Number of citations in Web of ScienceĀ® 38

Belward, John, Ilic, Milos, & Turner, Ian (2008) On derivative estimation and the solution of least squares problems. Journal of Computational and Applied Mathematics, 222(2), pp. 511-523.
Number of full-text downloads 94
Number of citations in Scopus 5
Number of citations in Web of ScienceĀ® 4

Belward, John, Oqielat, Moa'Ath, & Turner, Ian (2008) A hybrid clough-tocher method for surface fitting with application to leaf data. Applied Mathematical Modelling, 33(6), pp. 2582-2595.
Number of full-text downloads 125
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 3

Cai, X & Liu, Fawang (2007) A Reynolds Uniform Scheme for Singularly Perturbed Parabolic Differential Equation. Australian and New Zealand Industrial and Applied Mathematics Journal, 47(Supp), pp. 633-648.

Cai, Xin & Liu, Fawang (2007) Numerical simulation of the fractional-order control system. Journal of Applied Mathematics and Computing, 23(1-2), pp. 229-241.
Number of full-text downloads 399
Number of citations in Scopus 15

Chen, C.M., Liu, F., Burrage, K., & Chen, Y. (2012) Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. IMA Journal of Applied Mathematics, pp. 1-21.
Number of full-text downloads 58
Number of citations in Scopus 1
Number of citations in Web of ScienceĀ® 1

Chen, C.M., Liu, F., Turner, I., Anh, V., & Chen, Y. (2013) Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation. Numerical Algorithms, 63(2), pp. 265-290.
Number of full-text downloads 34
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 7

Chen, Chang-Ming & Liu, Fawang (2009) A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation. Journal of Applied Mathematics and Computing: International Journal, 30(1-2), pp. 219-236.
Number of citations in Scopus 11

Chen, Chang-Ming, Liu, Fawang, & Anh, Vo (2008) Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Applied Mathematics and Computation, 204(1), pp. 340-351.
Number of full-text downloads 86
Number of citations in Scopus 14
Number of citations in Web of ScienceĀ® 13

Chen, Chang-Ming, Liu, Fawang, Anh, Vo, & Turner, Ian (2010) Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equations. SIAM Journal on Computing, 32(4), pp. 1740-1760.
Number of citations in Scopus 81
Number of citations in Web of ScienceĀ® 66

Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., & Anh, Vo V. (2007) A Fourier method for the fractional diffusion equation describing sub-diffusion. Journal of Computational Physics, 227(2), pp. 886-897.
Number of full-text downloads 711
Number of citations in Scopus 154
Number of citations in Web of ScienceĀ® 142

Chen, Chang-ming, Liu, Fawang, & Burrage, Kevin (2008) Finite difference methods and a fourier analysis for the fractional reaction–subdiffusion equation. Applied Mathematics and Computation, 198(2), pp. 754-769.
Number of full-text downloads 593
Number of citations in Scopus 73
Number of citations in Web of ScienceĀ® 72

Chen, Chang-ming, Liu, Fawang, Turner, Ian, & Anh, Vo (2007) Implicit Difference Approximation of the Galilei Invariant Fractional Advection Diffusion Equation. ANZIAM Journal, 48(Supp), pp. 775-789.

Chen, J., Liu, F., Anh, V., Shen, S., Liu, Q., & Liao, C. (2012) The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Applied Mathematics and Computation, 219(4), pp. 1737-1748.
Number of full-text downloads 260
Number of citations in Scopus 14
Number of citations in Web of ScienceĀ® 14

Chen, Jing & Liu, Fawang (2007) Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation. Numerical Mathematics: Theory, Methods and Applications (NM-TMA), 16(3), pp. 253-264.

Chen, Jing, Liu, Fawang, & Anh, Vo (2008) Analytical Solution for the Time-Fractional Telegraph Equation by the Method of Separating Variables. Journal of Mathematical Analysis and Applications, 338(2), pp. 1364-1377.
Number of citations in Scopus 52
Number of citations in Web of ScienceĀ® 43

Chen, S & Liu, Fawang (2008) ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation. Journal of Applied Mathematics and Computing, 26(1-2), pp. 295-311.
Number of full-text downloads 241
Number of citations in Scopus 20

Chen, S., Jiang, X., Liu, F., & Turner, I. (2015) High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Journal of Computational and Applied Mathematics, 278, pp. 119-129.
Number of citations in Scopus 3
Number of citations in Web of ScienceĀ® 3

Chen, S., Liu, F., Jiang, X., Turner, I., & Anh, V. (2015) A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Applied Mathematics and Computation, 257, pp. 591-601.
Number of citations in Scopus 1
Number of citations in Web of ScienceĀ® 5

Chen, S., Liu, Fawang, Zhuang, Pinghui, & Anh, Vo V. (2008) Finite difference approximations for the fractional Fokker–Planck equation. Applied Mathematical Modelling, In Press.
Number of full-text downloads 278
Number of citations in Scopus 82
Number of citations in Web of ScienceĀ® 80

Cheng, Chor Kwan Charles, Lam, K.M., Lo, S.M., & Yuen, K.K. (2005) CFD Wind Tunnel Test: Field Velocity Patterns of Wind on a Building with a Refuge Floor. International Journal of Computational Fluid Dynamics, 19(7), pp. 531-544.
Number of citations in Scopus 4
Number of citations in Web of ScienceĀ® 4

Donnot, Andre, Perre, Patrick, Rousset, Patrick, & Turner, Ian (2005) The Choice of a Low Temperature Pyrolysis Model at the Microscopic Level for use in a Macroscopic Formulation. Annals of Forest Science, 63(2), pp. 1-17.
Number of citations in Scopus 28

Epping, Eric, Langer, Robert, Malda, Johannes, Radisic, Milica, Vunjak-Novakovic, Gordana, & Wenliang, Geng (2005) Oxygen Gradients Correlate With Cell Density and Cell Viability in Engineered Cardiac Tissue. Biotechnology and Bioengineering, In press, pp. 332-343.
Number of citations in Scopus 163

Feng, L.B., Zhuang, P., Liu, F., & Turner, I. (2015) Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Applied Mathematics and Computation, 257, pp. 52-65.
Number of full-text downloads 44
Number of citations in Scopus 2
Number of citations in Web of ScienceĀ® 2

Gu, YuanTong & Liu, Gui-Rong (2001) A Meshless Local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Computational Mechanics, 27(3), pp. 188-198.
Number of full-text downloads 756
Number of citations in Scopus 112
Number of citations in Web of ScienceĀ® 99

Gu, YuanTong & Liu, Gui-Rong (2005) Meshless methods coupled with other numerical methods. Tsinghua Science and Technology, 10(1), pp. 8-15.
Number of citations in Scopus 18

Gu, YuanTong & Liu, Gui-Rong (2001) A local point interpolation method (LPIM) for static and dynamic analysis of thin beams. Computer Methods in Applied Mechanics and Engineering, 190(42), pp. 5515-5528.
Number of full-text downloads 528
Number of citations in Web of ScienceĀ® 69

Gu, YuanTong & Liu, Gui-Rong (2005) A meshfree weak-strong (MWS) form method for time dependant problems. Computational Mechanics, 35(2), pp. 134-145.
Number of citations in Scopus 19
Number of citations in Web of ScienceĀ® 17

Gu, YuanTong & Yarlagadda, Prasad K.D.V. (2008) A multiscale deformation analysis for mono-crystalline copper under dynamic uniaxial tension. Advanced Materials Research, 32, pp. 241-244.
Number of full-text downloads 126
Number of citations in Scopus 3
Number of citations in Web of ScienceĀ® 1

Harandi, Mehrtash T., Sanderson, Conrad, Shirazi, Sareh, & Lovell, Brian C. (2013) Kernel analysis on Grassmann manifolds for action recognition. Pattern Recognition Letters, 34(15), pp. 1906-1915.
Number of full-text downloads 21
Number of citations in Scopus 16
Number of citations in Web of ScienceĀ® 12

Hejazi, Hala, Moroney, Timothy J., & Liu, Fawang (2014) Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. Journal of Computational and Applied Mathematics, 255, pp. 684-697.
Number of full-text downloads 65
Number of citations in Scopus 13
Number of citations in Web of ScienceĀ® 12

Ilic, Milos, Liu, Fawang, Turner, Ian, & Anh, Vo (2006) Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions. Fractional Calculus and Applied Analysis, 9(4), pp. 333-349.
Number of full-text downloads 203

Ilic, Milos, Saad, Yousef, & Turner, Ian (2007) Linear System Solution by Null-Space Approximation and Projection (SNAP). Journal of Numerical Linear Algebra with Applications, 14(1), pp. 61-82.

Ilic, Milos & Turner, Ian (2005) Approximating Functions of a Large Sparse Positive Definite Matrix using a Spectral Splitting Method. The ANZIAM Journal, 46, pp. 472-487.

Ilic, Milos, Turner, Ian, Liu, Fawang, & Anh, Vo (2010) Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Applied Mathematics and Computation, 216(8), pp. 2248-2262.
Number of citations in Scopus 11
Number of citations in Web of ScienceĀ® 10

Ilic, Milos & Turner, Ian W. (2005) Krylov subspaces and the analytic grade. Numerical Linear Algebra with Applications, 12(1), pp. 55-76.
Number of citations in Scopus 7
Number of citations in Web of ScienceĀ® 4

Ili?, M., Turner, I. W., & Anh, V. (2008) A Numerical Solution Using an Adaptively Preconditioned Lanczos Method for a Class of Linear Systems Related with the Fractional Poisson Equation. Journal of Applied Mathematics and Stochastic Analysis, 2008(Article ID 104525).
Number of full-text downloads 202
Number of citations in Scopus 7

Iu, C.K. & Bradford, M.A. (2012) Higher-order non-linear analysis of steel structures. Part I : elastic second-order formulation. Advanced Steel Construction, 8(2), pp. 168-182.
Number of full-text downloads 259
Number of citations in Scopus 5
Number of citations in Web of ScienceĀ® 2

Iu, C.K. & Bradford, M.A. (2012) Higher-order non-linear analysis of steel structures. Part II : refined plastic hinge formulation. Advanced Steel Construction, 8(2), pp. 183-198.
Number of full-text downloads 157
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 3

Iu, C.K. & Bradford, M.A. (2010) Second-order elastic finite element analysis of steel structures using a single element per member. Engineering Structures, 32(9), pp. 2606-2616.
Number of full-text downloads 79
Number of citations in Scopus 8
Number of citations in Web of ScienceĀ® 4

Iu, Chi Kin, Chan, Siu Lai, & Zha, Xiao Xiong (2005) Nonlinear pre-fire and post-fire analysis of steel frames. Engineering Structures, 27(11), pp. 1689-1702.
Number of citations in Scopus 25
Number of citations in Web of ScienceĀ® 17

Langton, Christian M., Wille, Marie-Luise, & Flegg, Mark B. (2014) A deconvolution method for deriving the transit time spectrum for ultrasound propagation through cancellous bone replica models. Institution of Mechanical Engineers. Proceedings. Part H: Journal of Engineering in Medicine, 228(4), pp. 321-329.
Number of full-text downloads 48
Number of citations in Scopus 3
Number of citations in Web of ScienceĀ® 4

Lee, D-S, Gonzalez, L.F., Periaux, J., & Bugeda, G. (2011) Double-shock control bump design optimization using hybridized evolutionary algorithms. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 225(10), pp. 1175-1192.
Number of full-text downloads 122
Number of citations in Scopus 1
Number of citations in Web of ScienceĀ® 1

Lee, D-S., Gonzalez, L.F., Periaux, J., & Srinivas , K. (2011) Efficient hybrid-game strategies coupled to evolutionary algorithms for robust multidisciplinary design optimization in aerospace engineering. IEEE Transactions on Evolutionary Computation, 15(2), pp. 133-150.
Number of full-text downloads 191
Number of citations in Scopus 16
Number of citations in Web of ScienceĀ® 1

Lee, Dong-Seop , Gonzalez, Luis Felipe, & Periaux, Jacques (2010) UAS Mission Path Planning System, (MPPS) using hybrid-game coupled to multi-objective optimizer. Journal of Dynamic Systems, Measurement, and Control, 132(4).
Number of citations in Scopus 2
Number of citations in Web of ScienceĀ® 1

Lin, R & Liu, Fawang (2007) Fractional High Order Methods For The Nonlinear Fractional Ordinary Differential Equation. Nonlinear Analysis, 66(4), pp. 856-869.
Number of full-text downloads 300
Number of citations in Scopus 37
Number of citations in Web of ScienceĀ® 34

Lin, Yumin & Liu, Fawang (2008) Analytical solution for the non-homogeneous anomalous sub-diffusion equation. Journal of Xiamen University (Natural Science), 47(2), pp. 158-163.
Number of full-text downloads 113

Liu, F., Zhuang, P., Turner, I., Anh, V., & Burrage, K. (2015) A semi-alternating direction method for a 2-D fractional FitzHugh–Nagumo monodomain model on an approximate irregular domain. Journal of Computational Physics, 293, pp. 252-263.
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 3

Liu, Fawang, Shen, Shujun, Anh, Vo, & Turner, Ian (2005) Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. The ANZIAM Journal, 46, C488-C504.
Number of full-text downloads 97
Number of citations in Scopus 20

Liu, Fawang & Zhang, Hong-Mei (2008) The solutions of a special form of the time fractional Navier-Stokes equations. Chinese Journal of Engineering Mathematics (Gongcheng Shuxue Xuebao), 25(5), pp. 935-938.
Number of full-text downloads 153

Liu, Gui-Rong & Gu, YuanTong (2000) Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches. Computational Mechanics, 26(6), pp. 536-546.
Number of full-text downloads 695
Number of citations in Scopus 65
Number of citations in Web of ScienceĀ® 55

Liu, Gui-Rong & Gu, YuanTong (2001) A point interpolation method for two-dimensional solids. International Journal for Numerical Methods in Engineering, 50(4), pp. 937-951.
Number of full-text downloads 1,188
Number of citations in Scopus 417
Number of citations in Web of ScienceĀ® 361

Liu, Gui-Rong, Zhang, Guiyong, Gu, YuanTong, & Wang, Y (2005) A meshfree radial point interpolation method (RPIM) for three-dimensional solids. Computational Mechanics, 36(6), pp. 421-430.
Number of citations in Scopus 71
Number of citations in Web of ScienceĀ® 59

Liu, Jinzhang, Ngo, Quang Minh, Park, Kyung Ho, Kim, Sangin, Ahn, YeongHwan, Park, Ji-Yong, et al. (2009) Optical waveguide and cavity effects on whispering-gallery mode resonances in a ZnO nanonail. Applied Physics Letters, 95(22), p. 221105.
Number of citations in Scopus 15
Number of citations in Web of ScienceĀ® 12

Moroney, Timothy J. & Turner, Ian W. (2005) A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations. Applied Mathematical Modelling, 30(10), pp. 1118-1133.
Number of citations in Scopus 20
Number of citations in Web of ScienceĀ® 18

Moroney, Timothy J. & Turner, Ian W. (2005) A modified finite volume method incorporating radial basis functions for simulating diffusion. The ANZIAM Journal, 46(E), pp. 458-471.

Moroney, Timothy J. & Turner, Ian W. (2007) A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations. Journal of Computational Physics, 225(2), pp. 1409-1426.
Number of citations in Scopus 17
Number of citations in Web of ScienceĀ® 16

Pasdunkorale Arachchige, Jayantha & Turner, Ian (2005) A second order control-volume finite-element least-squares strategy for simulating diffusion in strongly anisotropic media. Journal of Computational Mathematics, 23(1), pp. 1-16.
Number of full-text downloads 171
Number of citations in Scopus 16

Pasdunkorale Arachchige, Jayantha & Turner, Ian W. (2003) A second order finite volume technique for simulating transport in anisotropic media. International Journal of Numerical Methods for Heat and Fluid Flow, 13(1), pp. 31-56.
Number of full-text downloads 103
Number of citations in Scopus 25
Number of citations in Web of ScienceĀ® 5

Perre, P, Remond, R, & Turner, I (2013) A comprehensive dual-scale wood torrefaction model : application to the analysis of thermal run-away in industrial heat treatment processes. International Journal of Heat and Mass Transfer, 64, pp. 838-849.
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 6

Perre, Patrick & Turner, Ian W. (2006) A dual-scale model for describing drier and porous medium interactions. AIChE Journal, 52(9), pp. 3109-3117.
Number of citations in Scopus 14
Number of citations in Web of ScienceĀ® 8

Perre, Patrick & Turner, Ian W. (2002) A heterogeneous wood drying computational model that accounts for material property variation across growth rings. Chemical Engineering Journal, 86(1-2), pp. 117-131.
Number of citations in Scopus 27
Number of citations in Web of ScienceĀ® 24

Rasmussen, Anthony J. & Smith, Sean C. (2004) A Lanczos-powered Implementation of the Faber polynomial quantum time propagator for reaction probabilities. Chemical Physics Letters, 387(4-6), pp. 277-282.
Number of full-text downloads 165
Number of citations in Web of ScienceĀ® 1

Shen, S., Liu, F., Liu, Q., & Anh, V. (2015) Numerical simulation of anomalous infiltration in porous media. Numerical Algorithms, 68(3), pp. 443-454.
Number of full-text downloads 35
Number of citations in Web of ScienceĀ® 1

Shen, Shujun & Liu, Fawang (2008) A computationally efficient solution method for a riesz space fractional advection-dispersion equation. Journal of Xiamen University (Natural Science) [???????????], 47(1), pp. 20-24.
Number of full-text downloads 33

Shen, Shujun, Liu, Fawang, Anh, Vo, & Turner, Ian (2006) Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Journal of Applied Mathematics and Computing, 22(3), pp. 1-19.
Number of full-text downloads 658
Number of citations in Scopus 8

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.

Strickland, Christopher, Simpson, Daniel, Turner, Ian, Denham, Robert, & Mengersen, Kerrie (2010) Fast Bayesian analysis of spatial dynamic factor models for multitemporal remotely sensed imagery. Journal of the Royal Statistical Society Series C: Applied Statistics, 60(1), pp. 109-124.
Number of citations in Scopus 7
Number of citations in Web of ScienceĀ® 7

Strickland, Christopher M., Turner, Ian W., Denham, Robert, & Mengersen, Kerrie L. (2008) Efficient Bayesian Estimation of Multivariate State Space Models. Computational Statistics & Data Analysis, 53(12), pp. 4116-4125.
Number of full-text downloads 600
Number of citations in Scopus 7
Number of citations in Web of ScienceĀ® 6

Truscott, Simon & Turner, Ian (2005) A Heterogeneous Three-Dimensional Computational Model for Wood Drying. Applied Mathematical Modelling, 29(4), pp. 381-410.
Number of citations in Scopus 12
Number of citations in Web of ScienceĀ® 9

Turner, Ian & Vegh, Victor (2006) A Hybrid Technique For Computing The Power Distribution Generated In A Lossy Medium During Microwave Heating. Journal of Computational and Applied Mathematics, 197(1), pp. 122-140.
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 3

Turner, Ian, Vegh, Victor, & Zhao, Huawei (2005) Effective Cell-Centred Time-Domain Maxwell's Equations Numerical Solvers. Applied Mathematical Modelling, 29(5), pp. 411-438.
Number of full-text downloads 96
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 6

Turner, Ian W., Ilic, Milos, & Simpson, Daniel P. (2010) A Restarted Lanczos Approximation to Functions of a Symmetric Matrix. IMA Journal of Numerical Analysis, pp. 1044-1061.
Number of full-text downloads 460
Number of citations in Scopus 10
Number of citations in Web of ScienceĀ® 8

Warne, David, Kelson, Neil A., & Hayward, Ross F. (2014) Comparison of high level FPGA hardware design for solving tri-diagonal linear systems. Procedia Computer Science, 29, pp. 95-101.

Yao, Hongmei, Tian, Yu-Chu, & Tade, Moses O. (2008) Using wavelets for solving SMB separation process models. Industrial and Engineering Chemistry Research, 47(15), pp. 5585-5593.
Number of citations in Scopus 7
Number of citations in Web of ScienceĀ® 6

Yin, Cui-Ying, Liu, Fawang, & Anh, Vo V. (2007) Numerical simulation of the nonlinear fractional dynamical systems with fractional damping for the extensible and inextensible pendulum. Journal of Algorithms & Computational Technology, 1(4), pp. 427-447.
Number of full-text downloads 446

Yu, Q., Liu, F., Turner, I., & Burrage, K. (2012) A computationally effective alternating direction method for the space and time fractional Bloch–Torrey equation in 3-D. Applied Mathematics and Computation, 219(8), pp. 4082-4095.
Number of full-text downloads 77
Number of citations in Scopus 11
Number of citations in Web of ScienceĀ® 9

Zeng, Fanhai, Li, Changpin, Liu, Fawang, & Turner, Ian (2015) Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. SIAM Journal on Scientific Computing, 37(1), A55-A78.
Number of full-text downloads 61
Number of citations in Scopus 11
Number of citations in Web of ScienceĀ® 6

Zhang, Hong-Mei & Liu, Fawang (2008) Numerical simulation of the Riesz fractional diffusion equation with a nonlinear source term. Journal of Applied Mathematics and Informatics, 26(1-2), pp. 1-14.
Number of full-text downloads 231

Zhang, Hongmei & Liu, Fawang (2007) The Fundamental Solutions of the Space, Space-Time Riesz Fractional Partial Differential Equations with Periodic Conditions. Numerical Mathematics: Theory, Methods and Applications (NM-TMA), 16(2), pp. 181-192.

Zhang, Tonghua, Tade, Moses O., & Tian, Yu-Chu (2007) Linear estimate of the number of limit cycles for a class of non-linear systems. Chaos, Solitons and Fractals, 31(4), pp. 804-810.
Number of full-text downloads 128
Number of citations in Scopus 4
Number of citations in Web of ScienceĀ® 4

Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, & Zang, Hong (2008) High-resolution method for numerically solving PDEs in process engineering. Computers and Chemical Engineering, 32(10), pp. 2403-2408.
Number of full-text downloads 136
Number of citations in Scopus 8
Number of citations in Web of ScienceĀ® 6

Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, Zhang, Yanduo, & Utomo, Johan (2008) Wavelet approach incorporated with optimization for solving stiff systems. Journal of Mathematical Chemistry, 43(4), pp. 1533-1548.
Number of full-text downloads 144
Number of citations in Scopus 1

Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2007) On the Number of Zeros of the Abelian Intergrals for a Class of Perturbed Lienard Systems. International Journal of Bifurcation and Chaos, 17(9), pp. 3281-3287.
Number of full-text downloads 22
Number of citations in Scopus 1
Number of citations in Web of ScienceĀ® 1

Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2008) Wavelet-based collocation method for stiff systems in process engineering. Journal of Mathematical Chemistry, 44(2), pp. 501-513.
Number of full-text downloads 219
Number of citations in Scopus 6
Number of citations in Web of ScienceĀ® 4

Zhang, Tonghua, Tian, Yu-Chu, Tade, Moses O., & Utomo, Johan (2007) Comments on "The computation of wavelet-Galerkin approximation on a bounded interval". International Journal for Numerical Methods in Engineering, 72, pp. 244-251.
Number of full-text downloads 149
Number of citations in Scopus 9
Number of citations in Web of ScienceĀ® 5

Zheng, Minling, Liu, Fawang, Turner, Ian, & Anh, Vo (2015) A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation. SIAM Journal on Scientific Computing, 37(2), A701-A724.
Number of full-text downloads 71
Number of citations in Scopus 9
Number of citations in Web of ScienceĀ® 6

Zheng, Tingting & Liu, Fawang (2006) A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data. Journal of Applied Mathematics and Computing, 22(1-2), pp. 317-329.
Number of full-text downloads 113

Zhuang, Pinghui & Liu, Fawang (2007) Finite difference approximation for two-dimensional time fractional diffusion equation. Journal of Algorithms & Computational Technology, 1(1), pp. 1-15.
Number of full-text downloads 627

Zhuang, Pinghui & Liu, Fawang (2006) Implicit difference approximation for the time fractional diffusion equation. Journal of Applied Mathematics and Computing, 22(3), pp. 87-99.
Number of citations in Scopus 72

Zhuang, Pinghui & Liu, Fawang (2007) Implicit difference approximation for the two-dimensional space-time fractional diffusion equation. Journal of Applied Mathematics and Computing, 25(1-2), pp. 269-282.
Number of full-text downloads 309
Number of citations in Scopus 14

Zhuang, Pinghui, Liu, Fawang, Anh, Vo, & Turner, Ian (2008) New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. SIAM Journal on Numerical Analysis, 46(2), pp. 1079-1095.
Number of full-text downloads 347
Number of citations in Scopus 153
Number of citations in Web of ScienceĀ® 140

Zhuang, Pinghui, Liu, Fawang, Anh, Vo, & Turner, Ian (2007) Numerical Treatment For The Fractional Fokker-Planck Equation. ANZIAM Journal, 48(Supp), pp. 759-774.
Number of citations in Scopus 5

Conference Paper

Cai, X. & Liu, Fawang (2002) A class of conservative difference schemes for conservative equation with a small parameter. In Wang, S. & Fowkes, N. (Eds.) Proceedings of BAIL2002, The University of Western Australia, University of Western Australia, Perth, Western Australia, pp. 67-72.

Carr, Elliot, Turner, Ian, & Perre, Patrick (2010) A mass conservative mesoscopic drying model. In Mujumdar, A (Ed.) Proceedings of the 17th International Drying Symposium, 3-6 October 2010, Germany.

Cheng, Charles (Chor), Lam, K.M., Lo, S.M., & Yuen, Richard K.K. (2005) Wind Tunnel and CFD Studies on Wind Flow Around a High-Rise Building with a Refuge Floor. In Tall Buildings: From Engineering to Sustainability: Proceedings of the 6th International Conference on Tall Buildings, 6 December - 8 December, 2005, China, Hong Kong.

Egerton, J. O., Rasul, Mohammad G., & Brown, Richard J. (2007) Outboard engine emissions: Modelling and simulation of underwater propeller velocity profile using the CFD code FLUENT. In Jacobs, Peter, McIntyre, Tim, Cleary, Matthew, Butsworth, David, Mee, David, Clements, Rose, et al. (Eds.) 16th Australasian Fluid Mechanics Conference, 2-7 December, Gold Coast, Australia.
Number of full-text downloads 468
Number of citations in Scopus 1

Fonarev, A.S., Madhani, Jehangir T., & Naida, M.A. (2001) An Effective method of calculating transonic flows and wave drag of axisymmetric and 3-D elongate bodies within framework of transonic equivalence rule. In 14th Australasian Fluid Mechanics Conference, 10 -14th December 2001, Adelaide University, Adelaide, Australia.
Number of full-text downloads 1,460

Iida, Ayiyoshi, Mizuno, Akisato, & Brown, Richard J. (2004) Identification of aerodynamic sound source in the wake of a rotating circular cylinder. In Behinia, M., Lin, W., & McBain, G.D. (Eds.) 15th Australasian Fluid Mechanics Conference, 13-17 December 2004, Sydney.
Number of full-text downloads 346

Ilic, Milos & Turner, Ian (2003) Approximately Invariant Subspaces. In Burrag, K & Sidje, R (Eds.) The ANZIAM Journal, 16 - 18 July 2001, University of Queensland, Brisbane, Australia.

Liu, Fawang, Anh, Vo, & Turner, Ian (2002) Numerical solution of the fractional-order advection-dispersion equation. In Wang, S. & Fowkes, N. (Eds.) Proceedings of BAIL2002, The Univeristy of Western Australia, The University of Western Australia, Perth, Western Australia, pp. 159-164.

Liu, Fawang & Burrage, Kevin (2010) Parameter estimation for fractional dynamical models in biological systems. In Proceedings of the 4th IFAC Workshop on Fractional Differentiation and Its Applications, 18-20 October 2010, Spain.

Liu, Fawang & Yang, C (2006) A Computationally Effective Predictor-Corrector Method for Simulating Fractional Order Dynamical Control System. In Stacey, A, Blyth, B, & Shepherd, J (Eds.) Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference (ANZIAM Journal, Vol 47), 25-28 September 2005, Australia, Victoria, Melbourne.

Liu, Fawang, Zhuang, P., Turner, Ian, & Anh, Vo (2006) A fractional-order implicit difference approximation for the space-time fractional diffusion equation. In Stacey, A., Blyth, B., & Shepherd, J. (Eds.) Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, ANZIAM Journal, Melbourne, Victoria, pp. 48-68.
Number of full-text downloads 95

Nguyen, Trung Dung & Gu, YuanTong (2013) Porohyperelastic analysis of single chondrocyte using AFM and inverse FEA. In 5th Asia Pacific Congress on Computational Mechanics & 4th International Symposium on Computational Mechanics, 11-14 December 2013, Singapore.
Number of full-text downloads 103

Nguyen, Trung Dung, Oloyede, Adekunle, Singh, Sanjleena, & Gu, YuanTong (2014) Porohyperelastic analysis of single osteocyte using AFM and inverse FEA. In Goh, James (Ed.) IFMBE Proceedings : The 15th International Conference on Biomedical Engineering, Springer International Publishing, Singapore, pp. 56-59.

Oqielat, Moa'Ath, Belward, John A., Turner, Ian W., & Loch, B. I. (2007) A Hybrid Clough-Tocher Radial Basis Function Method for Modelling Leaf Surfaces. In MODSIM 2007 International Congress on Modelling and Simulation, 10-13 December 2007, Christchurch, New Zealand.
Number of full-text downloads 163
Number of citations in Scopus 4
Number of citations in Web of ScienceĀ® 2

Pasdunkorale Arachchige, Jayantha & Turner, Ian (2003) Generalised Finite Volume Strategies for Imulating Transport in Strongly Orthotropic Porous Media. In Burrage, K & Sidje, R (Eds.) The Australian and New Zealand Industrial and Applied Mathematics Journal, 16 - 18 July 2001, University of Queensland, Brisbane, Queensland.
Number of full-text downloads 50

Remond, Romain, Turner, Ian, & Perre, Patrick (2010) Dual-scale model for heat treatment of wood: evidence of thermal run-away due to the cumulative effect of exothermic reactions. In Mujumdar, A (Ed.) Proceedings of the 17th International Drying Symposium, 3 - 6 October 2010, Germany.

Shen, Shujun & Liu, Fawang (2005) Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. In May, R. (Ed.) Proceedings of the 2004 International Conference on Computational Techniques and Applicaitons, Australian Mathematical Society, Melbourne, Victoria, pp. 872-887.

Tian, Yu-Chu, Levy, David C., & Gu, Tianlong (2004) Implementing a Process Model for Real-Time Applications. In The 7th Asia-Pacific Conference on Complex Systems (Complex'2004), 6-10 December 2004, Cairns, Australia.
Number of full-text downloads 404

Truscott, Simon & Turner, Ian (2003) An Investigation of Spatial and Temporal Weighting Schemes for Use in Unstructured Mesh Control Volume Finite Element Methods. In The Australian and New Zealand Industrial and Applied Mathematics Journal, 16 - 18 July 2001, University of Queensland, Brisbane, Queensland.

Turner, Ian, Ilic, Milos, & Perre, Patrick (2010) The use of fractional-in-space diffusion equations for describing microscale diffusion in porous media. In Mujumdar, A (Ed.) Proceedings of the 17th International Drying Symposium, 3-6 October 2010, Germany.

Warne, David, Kelson, Neil A., & Hayward, Ross F. (2012) Solving tri-diagonal linear systems using field programmable gate arrays. In 4th International Conference on Computational Methods (ICCM2012), 25-28 November 2012, Crowne Plaza, Gold Coast, QLD.
Number of full-text downloads 192

Conference Item

Heidarkhan Tehrani, Ashkan, Singh, Sanjleena, & Oloyede, Adekunle (2014) Local stress-strain distribution and load transfer across cartilage matrix at micro-scale using combined microscopy-based finite element method. In 23rd Annual Conference of the Australasian Society of Biomaterials and Tissue Engineering, 22-24 April 2014, Mantra Resort Lorne, VIC.
Number of full-text downloads 78

Warne, David, Kelson, Neil A., & Hayward, Ross F. (2012) Solving tri-diagonal linear systems using field programmable gate arrays. In 4th International Conference on Computational Methods (ICCM 2012), 25-28 November 2012, Crowne Plaza, Gold Coast, QLD. (Unpublished)
Number of full-text downloads 61

Working Paper

Simpson, Daniel P., Turner, Ian W., & Pettitt, Anthony N. (2008) Fast sampling from a Gaussian Markov random ?eld using Krylov subspace approaches. [Working Paper] (Unpublished)
Number of full-text downloads 591

Other

This list was generated on Sat Apr 30 13:16:59 2016 AEST.