# 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 (40102)
- Australian and New Zealand Standard Research Classification (40102)
- MATHEMATICAL SCIENCES (010000) (1336)
- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (325)
**Numerical Analysis (010301)**(111)

- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (325)

- MATHEMATICAL SCIENCES (010000) (1336)

- Australian and New Zealand Standard Research Classification (40102)

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**111**.## 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. 129

21

16

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. 23

22

## 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. 73

5

3

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. 95

3

1

## 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. 367

13

Carr, Elliot (2013)

*Two-scale computational modelling of unsaturated flow in soils exhibiting small scale heterogeneities.*[Working Paper] (Unpublished) 14

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. 30

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. 11

2

2

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. 8

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. 69

10

10

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. 41

35

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. 544

107

96

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. 478

47

42

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. 134

6

4

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. 34

29

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. 184

14

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

*Applied Mathematical Modelling*,*In Press*. 253

53

48

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. 26

## E

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. 411

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. 140

## F

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. 1,011

## G

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. 641

92

82

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

*Tsinghua Science and Technology*,*10*(1), pp. 8-15. 13

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. 429

61

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

*Computational Mechanics*,*35*(2), pp. 134-145. 16

16

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. 114

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. 7

2

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. 47

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. 42

5

4

## 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. 339

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. 147

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.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. 9

8

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

*Numerical Linear Algebra with Applications*,*12*(1), pp. 55-76. 6

4

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). 172

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. 100

1

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. 66

1

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. 22

3

1

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. 24

16

## 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. 3

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. 91

1

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. 167

10

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). 2

1

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

*Nonlinear Analysis*,*66*(4), pp. 856-869. 253

35

32

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. 85

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, 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. 69

18

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. 81

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. 63

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. 588

60

50

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. 977

376

327

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. 52

43

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. 8

11

## 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. 18

17

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. 15

14

## 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. 73

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. 143

2

## 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. 21

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. 141

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. 77

22

4

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. 3

2

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

*AIChE Journal*,*52*(9), pp. 3109-3117. 11

7

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. 23

22

## 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. 153

## S

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 (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. 5

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. 610

6

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) 269

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) 513

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. 6

4

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. 537

6

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. 321

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

*Applied Mathematical Modelling*,*29*(4), pp. 381-410. 8

7

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 & 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. 5

2

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. 62

6

6

Turner, Ian W., Ilic, Milos, & Simpson, Daniel P. (2007) A Restarted Lanczos Approximation to Functions of a Symmetric Matrix.

*IMA Journal of Numerical Analysis*, pp. 1044-1061. 355

7

## 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.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) 37

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. 146

## Y

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. 6

5

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. 393

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. 29

7

5

## Z

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. 171

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. 120

2

3

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. 117

6

4

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. 116

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. 1

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. 192

5

2

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. 130

8

5

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. 80

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. 560

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. 51

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. 234

13

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. 265

104

89

Zhuang, Pinghui, Liu, Fawang, Anh, Vo, & Turner, Ian (2007) Numerical Treatment For The Fractional Fokker-Planck Equation.

*ANZIAM Journal*,*48*(Supp), pp. 759-774.