# 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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- Subjects classification (49028)
- Australian and New Zealand Standard Research Classification (49028)
- MATHEMATICAL SCIENCES (010000) (1578)
- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (378)
**Numerical Analysis (010301)**(124)

- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (378)

- MATHEMATICAL SCIENCES (010000) (1578)

- Australian and New Zealand Standard Research Classification (49028)

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Number of items at this level:

**124**.## A

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.
164

33

30

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.
50

50

## B

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.
108

5

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.
137

7

5

## C

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, 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.

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.
406

15

Carr, Elliot
(2013)

*Two-scale computational modelling of unsaturated flow in soils exhibiting small scale heterogeneities.*[Working Paper] (Unpublished)
30

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.

Carr, Elliot Joseph & Turner, Ian William
(2016)
A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers.

*Applied Mathematical Modelling*,*40*(15-16), pp. 7034-7050.
2

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.
67

4

4

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.
37

10

11

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.
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.
100

20

20

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.
102

99

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.
627

93

89

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, 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.
739

190

170

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.
334

24

24

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.
70

59

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.
270

21

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.
6

7

7

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.
3

1

18

Chen, S., Liu, Fawang, Zhuang, Pinghui, & Anh, Vo V.
(2008)
Finite difference approximations for the fractional Fokker–Planck equation.

*Applied Mathematical Modelling*,*In Press*.
407

104

99

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.

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.
4

4

## D

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.
32

31

## E

Egerton, James 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.
502

1

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.
197

184

## F

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.
59

17

17

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.
1,553

## G

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.
551

109

84

Gu, YuanTong & Liu, Gui-Rong
(2005)
A meshfree weak-strong (MWS) form method for time dependant problems.

*Computational Mechanics*,*35*(2), pp. 134-145.
22

21

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.
783

133

119

Gu, YuanTong & Liu, Gui-Rong
(2005)
Meshless methods coupled with other numerical methods.

*Tsinghua Science and Technology*,*10*(1), pp. 8-15.
22

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.
130

3

1

## H

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.
49

24

20

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.
82

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.
83

25

26

## I

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.
352

Ilić, 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).
210

9

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.
223

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
(2003)
Approximately Invariant Subspaces. In
Burrag, K & Sidje, R (Eds.)

*The ANZIAM Journal*, 16 - 18 July 2001, University of Queensland, Brisbane, Australia.

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.
4

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.
12

13

Ilic, Milos & Turner, Ian W.
(2005)
Krylov subspaces and the analytic grade.

*Numerical Linear Algebra with Applications*,*12*(1), pp. 55-76.
7

5

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.
341

10

8

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.
206

11

8

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.
106

13

9

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.
27

18

## L

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.
69

4

5

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.
130

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.
206

22

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).
7

1

Lin, R & Liu, Fawang
(2007)
Fractional High Order Methods For The Nonlinear Fractional Ordinary Differential Equation.

*Nonlinear Analysis*,*66*(4), pp. 856-869.
315

39

36

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.
124

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.
1

20

15

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.
27

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.
109

60

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 & 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.
169

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.
97

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.
724

78

64

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.
1,345

475

414

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.
84

71

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.
18

16

## M

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.

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.
21

19

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.
18

17

## N

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.
112

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.## O

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.
169

12

3

## P

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.
57

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.
187

19

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.
120

25

6

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.
11

12

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.
8

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.

Perre, Patrick & Turner, Ian W.
(2006)
A dual-scale model for describing drier and porous medium interactions.

*AIChE Journal*,*52*(9), pp. 3109-3117.
14

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.
30

29

## R

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.
168

1

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.## S

Shen, S., Liu, F., Liu, Q., & Anh, V.
(2015)
Numerical simulation of anomalous infiltration in porous media.

*Numerical Algorithms*,*68*(3), pp. 443-454.
50

6

7

Shen, Shujun & Liu, Fawang
(2008)
A computationally efficient solution method for a riesz space fractional advection-dispersion equation.

*Journal of Xiamen University (Natural Science) [厦门大学学报自然科学版]*,*47*(1), pp. 20-24.
35

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.

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.
679

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.
2

1

1

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)
307

Simpson, Daniel P., Turner, Ian W., & Pettitt, Anthony N.
(2008)

*Fast sampling from a Gaussian Markov random ﬁeld using Krylov subspace approaches.*[Working Paper] (Unpublished)
605

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.
7

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.
625

7

6

## T

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.
464

Truscott, Simon & Turner, Ian
(2005)
A Heterogeneous Three-Dimensional Computational Model for Wood Drying.

*Applied Mathematical Modelling*,*29*(4), pp. 381-410.
14

10

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.

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.
7

4

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.
106

6

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.
505

15

15

## W

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.
13

1

1

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)
80

Warne, David, Kelson, Neil A., & Hayward, Ross F.
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Solving tri-diagonal linear systems using field programmable gate arrays. In

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Yao, Hongmei, Tian, Yu-Chu, & Tade, Moses O.
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Using wavelets for solving SMB separation process models.

*Industrial and Engineering Chemistry Research*,*47*(15), pp. 5585-5593.
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Yin, Cui-Ying, Liu, Fawang, & Anh, Vo V.
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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.
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Yu, Q., Liu, F., Turner, I., & Burrage, K.
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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.
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Zeng, Fanhai, Li, Changpin, Liu, Fawang, & Turner, Ian
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Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy.

*SIAM Journal on Scientific Computing*,*37*(1), A55-A78.
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Zhang, Hong-Mei & Liu, Fawang
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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.
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Zhang, Hongmei & Liu, Fawang
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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
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Linear estimate of the number of limit cycles for a class of non-linear systems.

*Chaos, Solitons and Fractals*,*31*(4), pp. 804-810.
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Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, & Zang, Hong
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High-resolution method for numerically solving PDEs in process engineering.

*Computers and Chemical Engineering*,*32*(10), pp. 2403-2408.
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Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, Zhang, Yanduo, & Utomo, Johan
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Wavelet approach incorporated with optimization for solving stiff systems.

*Journal of Mathematical Chemistry*,*43*(4), pp. 1533-1548.
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1

Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O.
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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.
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Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O.
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Wavelet-based collocation method for stiff systems in process engineering.

*Journal of Mathematical Chemistry*,*44*(2), pp. 501-513.
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Zhang, Tonghua, Tian, Yu-Chu, Tade, Moses O., & Utomo, Johan
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Comments on "The computation of wavelet-Galerkin approximation on a bounded interval".

*International Journal for Numerical Methods in Engineering*,*72*, pp. 244-251.
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Zheng, Minling, Liu, Fawang, Turner, Ian, & Anh, Vo
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A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation.

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Zheng, Tingting & Liu, Fawang
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A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data.

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Zhuang, Pinghui & Liu, Fawang
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Finite difference approximation for two-dimensional time fractional diffusion equation.

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Zhuang, Pinghui & Liu, Fawang
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Implicit difference approximation for the time fractional diffusion equation.

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Zhuang, Pinghui & Liu, Fawang
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Implicit difference approximation for the two-dimensional space-time fractional diffusion equation.

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Zhuang, Pinghui, Liu, Fawang, Anh, Vo, & Turner, Ian
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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.
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Numerical Treatment For The Fractional Fokker-Planck Equation.

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13