# Items where Subject is "Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200)"

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- Australian and New Zealand Standard Research Classification (46785)
- MATHEMATICAL SCIENCES (010000) (1510)
**APPLIED MATHEMATICS (010200)**(602)

- MATHEMATICAL SCIENCES (010000) (1510)

- Australian and New Zealand Standard Research Classification (46785)

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**155**.## Journal Article

Abramson, David, Bernabeu, Miguel, Bethwaite, Blair, Burrage, Kevin, Corrias, Alberto, Enticott, Colin, et al.
(2010)
High-throughput cardiac science on the Grid.

*Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences.*,*368*(1925), pp. 3907-3923.
6

6

Adams, Matthew P.
(2016)
Mathematical models of calcium and tight junctions in normal and reconstructed epidermis.

*Bulletin of the Australian Mathematical Society*,*93*, pp. 347-349.

Adams, Matthew P., Ferguson, Angus J. P., Maxwell, Paul S., Lawson, Brodie A. J., Samper-Villarreal, Jimena, & O'Brien, Katherine R.
(2015)
Light history-dependent respiration explains the hysteresis in the daily ecosystem metabolism of seagrass.

*Hydrobiologia: the international journal of aquatic sciences*.
1

Agnew, D.J.G., Green, J.E.F., Brown, T.M., Simpson, M.J., & Binder, B.J.
(2014)
Distinguishing between mechanisms of cell aggregation using
pair-correlation functions.

*Journal of Theoretical Biology*,*352*, pp. 16-23.
9

12

12

Alcock, Jamie & Burrage, Kevin
(2006)
A note on the Balanced method.

*BIT Numerical Mathematics*,*46*(4), pp. 689-710.
33

30

Anh, Vo, Grecksch, Wilfried, & Yong, Jiongmin
(2011)
Regularity of backward stochastic volterra integral equations in Hilbert spaces.

*Stochastic Analysis and Applications*,*29*(1), pp. 146-168.
4

3

Anh, Vo, Leonenko, Nikolai, Shieh, Narn-Rueih, & Taufer, Emanuele
(2010)
Simulation of multifractal products of Ornstein-Uhlenbeck type processes.

*Nonlinearity*,*23*(4), pp. 823-843.
4

3

Assareh, Hassan & Mengersen, Kerrie
(2011)
Bayesian estimation of the time of a decrease in risk-adjusted survival time control charts.

*IAENG International Journal of Applied Mathematics*,*41*(4), pp. 360-366.
4

Baker, Ruth & Simpson, Matthew
(2010)
Correcting mean-field approximations for birth-death-movement processes.

*Physical Review E (PRE)*,*82*(4), 041905-1---41905-12.
93

30

31

Bardsen, Gunnar, Hurn, Stan, & McHugh, Zoe
(2012)
Asymmetric unemployment rate dynamics in Australia.

*Studies in Nonlinear Dynamics and Econometrics*,*16*(1), pp. 1-20.
1

Bartlett, P. L., Boucheron, S., & Lugosi, G.
(2002)
Model selection and error estimation.

*Machine Learning*,*48*(1-3), pp. 85-113.
169

128

Bartlett, Peter L., Mendelson, Shahar, & Philips, Petra
(2010)
On the optimality of sample-based estimates of the expectation of the empirical minimizer.

*ESAIM : Probability and Statistics*,*14*(Jan), pp. 315-337.
1

Baxter, J. & Bartlett, P. L.
(2001)
Infinite-horizon policy-gradient estimation.

*Journal of Artificial Intelligence Research*,*15*, 319-350 .
278

187

Binder, Benjamin J., Ross, Joshua, & Simpson, Matthew
(2012)
A hybrid model for studying spatial aspects of infectious diseases.

*ANZIAM Journal*,*54*(1-2), pp. 37-49.
250

2

2

Boden, Mikael, Dellaire, Graham, Burrage, Kevin, & Bailey, Timothy
(2010)
A Bayesian network model of proteins' association with promyelocytic leukemia (PML) nuclear bodies.

*Journal of Computational Biology*,*17*(4), pp. 617-630.
3

3

Burrage, Kevin, Lenane, Ian, & Lythe, Grant
(2007)
Numerical methods for second-order stochastic differential equations.

*SIAM Journal on Scientific Computing*,*29*(1), pp. 245-264.
33

29

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
(2005)
A numerical method for the space Riesz fractional diffusion equation.

*Numerical Mathematics (English Series): a journal of Chinese universities*,*S1*, pp. 242-248.

Carr, E. J., Turner, I. W., & Perré, P.
(2011)
A new control-volume finite-element scheme for heterogeneous porous media : application to the drying of softwood.

*Chemical Engineering & Technology*,*34*(7), pp. 1143-1150.
1

Carr, E.J., Moroney, T.J., & Turner, I.W.
(2011)
Efficient simulation of unsaturated flow using exponential time integration.

*Applied Mathematics and Computation*,*217*(14), pp. 6587-6596.
275

9

7

Carr, Elliot Joseph, Turner, Ian, & Ilic, Milos
(2011)
Krylov subspace approximations for the exponential Euler method: Error estimates and the harmonic Ritz approximant.

*ANZIAM Journal*,*52*, C612-C627.
80

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.
88

79

Chen, Chang-Ming, Liu, Fawang, Anh, Vo, & Turner, Ian
(2011)
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term.

*Applied Mathematics and Computation*,*217*(12), pp. 5729-5742.
74

11

10

Chen, Chang-Ming, Liu, Fawang, Turner, Ian, & Anh, Vo
(2011)
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid.

*Computers and Mathematics with Applications*,*62*(3), pp. 971-986.
17

16

Chen, Chang-Ming, Liu, Fawang, Turner, Ian, & Anh, Vo
(2009)
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation.

*Numerical Algorithms*.
235

50

44

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, 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.
60

48

Chen, Shiping, Liu, Fawang, & Anh, Vo
(2010)
A novel implicit finite difference method for the one-dimensional fractional percolation equation.

*Numerical Algorithms*,*56*(4), pp. 517-535.
8

8

Chirilus-Bruckner, Martina, Doelman, Arjen, van Heijster, Peter, & Rademacher, Jens D.M.
(2015)
Butterfly catastrophe for fronts in a three-component reaction–diffusion system.

*Journal of Nonlinear Science*,*25*(1), pp. 87-129.
1

Drovandi, Christopher C., Cusimano, Nicole, Psaltis, Steven, Lawson, Brodie A. J., Pettitt, Anthony N., Burrage, Pamela, et al.
(2016)
Sampling methods for exploring between-subject variability in cardiac electrophysiology experiments.

*Journal of the Royal Society Interface*,*13*(121), Article no. 20160214.
42

Ellery, Adam & Simpson, Matthew
(2011)
An analytical method to solve a general class of nonlinear reactive transport models.

*Chemical Engineering Journal*,*169*(1-3), pp. 313-318.
260

14

10

Ellery, Adam, Simpson, Matthew, McCue, Scott W., & Baker, Ruth
(2012)
Moments of action provide insight into critical times for advection–diffusion–reaction processes.

*Physical Review E (PRE)*,*86*(3).
66

8

9

Farmani, Mohammad Reza, Jaamialahmadi, Abdolrahman, & Babaie, Meisam
(2011)
Multiobjective optimization for force and moment balance of a four-bar linkage using evolutionary algorithms.

*Journal of Mechanical Science and Technology*,*25*(12), pp. 2971-2977.
8

7

Grecksch, Wilfried & Anh, Vo
(2012)
An infinite-dimensional fractional linear quadratic regulator problem.

*Stochastic Analysis and Applications*,*30*(2), pp. 203-219.

Gu, YuanTong, Wang, Qingxia, & Lam, K
(2007)
A meshless local Kriging method for large deformation analyses.

*Computer Methods in Applied Mechanics and Engineering*,*196*(9-12), pp. 1673-1684.
52

46

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.
34

22

16

How, Janice, Ling, Martin, & Verhoeven, Peter
(2010)
Does Size Matter? A genetic programming approach to technical trading.

*Quantitative Finance*,*10*(2), pp. 131-140.
10

9

Hu, Jinqiu, Zhang, Laibin, Ma, Lin, & Liang, Wei
(2011)
An integrated safety prognosis model for complex system based on dynamic Bayesian network and ant colony algorithm.

*Expert Systems with Applications*,*38*(3), pp. 1431-1446.
30

19

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.
11

12

Karim, Azharul & Hawlader, M.
(2005)
Mathematical modelling and experimental investigation of tropical fruits drying.

*International Journal of Heat and Mass Transfer*,*48*(23-24), pp. 4914-4925.
58

43

Kempthorne, Daryl, Turner, Ian, & Belward, John
(2014)
A comparison of techniques for the reconstruction of leaf surfaces from scanned data.

*SIAM Journal on Scientific Computing*,*36*(6), B969-B988.
2

1

Kempthorne, Daryl, Turner, Ian W., & Belward, John A.
(2013)
Computational strategies for surface fitting using thin plate spline finite element methods.

*ANZIAM Journal*,*54*, C56-C71.
17

Kim, Eric, Tan, Chit, Yang, Bo-Suk, Kim, Won-Cheol, Choi, Beong-Keun, & An, Young-Su
(2007)
Optimum Shape Design of Rotating Shaft by ESO Method.

*Journal of Mechanical Science and Technology*,*21*(7), pp. 1039-1047.
7

8

Knight, John
(2005)
Improving the Dupuit-Forchheimer groundwater free surface approximation.

*Advances in Water Resources*,*28*(10), pp. 1048-1056.
16

15

Knight, John, Gilfedder, Mat, & Walker, Glen
(2005)
Impacts of irrigation and dryland development on groundwater discharge to rivers - a unit response approach to cumulative impacts analysis.

*Journal of Hydrology*,*303*(1/4), pp. 79-91.
25

21

Knight, John, Jin, Wei, & Kluitenberg, Gerard
(2007)
Sensitivity of the dual-probe heat-pulse method to spatial variations in heat capacity and water content.

*Vadose Zone Journal*,*6*(4), pp. 746-758.
7

5

Knight, John & Kluitenberg, Gerard
(2005)
Some analytical solutions for sensitivity of well tests to variations in storativity and transmissivity.

*Advances in Water Resources*,*28*(10), pp. 1057-1075.
9

8

Knight, John & Rassam, David
(2007)
Groundwater head responses due to random stream stage fluctuations using basis splines.

*Water Resources Research*,*43*(6), 06501-06506.
11

11

Komori, Yoshio & Burrage, Kevin
(2012)
Weak second order S-ROCK methods for Stratonovich stochastic differential equations.

*Journal of Computational and Applied Mathematics*,*236*(11), pp. 2895-2908.
6

6

Landman, Kerry, Simpson, Matthew, Slater, Jennifer, & Newgreen, Don
(2005)
Diffusive and chemotactic cellular migration: Smooth and discontinuous traveling wave solutions.

*SIAM Journal on Applied Mathematics*,*65*(4), pp. 1420-1442.
24

25

Larue, Gregoire, Rakotonirainy, Andry, & Pettitt, Anthony N.
(2010)
Forecasting negative effects of monotony and sensation seeking on performance during a vigilance task.

*Journal of the Australasian College of Road Safety*,*21*(4), pp. 42-48.
260

Larue, Gregoire S., Rakotonirainy, Andry, & Pettitt, Anthony N.
(2011)
Driving performance impairments due to hypovigilance on monotonous roads.

*Accident Analysis and Prevention*,*43*(6), pp. 2037-2046.
329

22

16

Larue, Gregoire S., Rakotonirainy, Andry, & Pettitt, Anthony N.
(2015)
Predicting reduced driver alertness on monotonous highways : a driving simulator study.

*IEEE Pervasive Computing*,*14*(2), pp. 78-85.
1

Larue, Gregoire S., Rakotonirainy, Andry, & Pettitt, Anthony N.
(2010)
Real-time performance modelling of a sustained attention to response task.

*Ergonomics*,*53*(10), pp. 1205-1216.
262

8

5

Li, Bofeng, Shen, Yunzhong, & Feng, Yanming
(2010)
Fast GNSS ambiguity resolution as an ill-posed problem.

*Journal of Geodesy*,*84*(11), pp. 683-698.
24

14

Lin, R., Liu, Fawang, Anh, Vo, & Turner, Ian W.
(2009)
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation.

*Applied Mathematics and Computation*,*212*(2), pp. 435-445.
479

80

65

Lin, Tian Ran
(2012)
An analytical and experimental study of the vibration response of a clamped ribbed plate.

*Journal of Sound and Vibration*,*331*(4), pp. 902-913.
280

10

7

Liu, F., Yang, C., & Burrage, K.
(2009)
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term.

*Journal of Computational and Applied Mathematics*,*231*(1), pp. 160-176.
174

100

91

Liu, Fawang
(2005)
Time fractional diffusion-reaction equation.

*Numerical Mathematics (English Series): a journal of Chinese universities*,*27*(3), pp. 267-273.
41

Liu, Fawang, Anh, Vo, Turner, Ian, & Zhuang, Pinghui
(2004)
Numerical simulation for solute transport in fractal porous media.

*ANZIAM Journal*,*45*, C461-C473.
100

Liu, Fawang, Anh, Vo, Turner, Ian, & Zhuang, Pinghui
(2003)
Time fractional advection-dispersion equation.

*Journal of Applied Mathematics and Computing*,*13*(1-2), pp. 233-245.
712

91

Liu, Fawang & Burrage, Kevin
(2011)
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems.

*Computers and Mathematics with Applications*,*62*(3), pp. 822-833.
19

19

Liu, Fawang, Turner, Ian, & Anh, Vo
(2002)
An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers.

*Journal of Applied Mathematics and Computing*,*9*(2), pp. 391-407.
9

Liu, Fawang, Turner, Ian, Anh, Vo, & Su, Ninghu
(2003)
A two-dimensional finite volume method for transient simulation of time-and scale-dependent transport in heterogeneous aquifer systems.

*Journal of Applied Mathematics and Computing*,*11*(1-2), pp. 215-241.
188

7

Liu, Fawang, Walmsley, John, & Burrage, Kevin
(2010)
Parameter estimation for a phenomenological model of the cardiac action potential.

*The ANZIAM Journal*,*52*, C482-C499.
76

Liu, Fawang, Zhuang, Pinghui, Anh, Vo, Turner, Ian, & Burrage, Kevin
(2007)
Stability and convergence next term of the difference methods for the space-time fractional advection-diffusion equation.

*Applied Mathematics and Computation*,*191*(1), pp. 12-20.
168

155

Liu, Q., Liu, F., Turner, I.W., & Anh, V.
(2008)
Numerical simulation for the 3D seepage flow with fractional derivatives in porous media.

*IMA Journal of Applied Mathematics*,*74*(2), pp. 201-229.
248

19

22

Liu, Q. & Liu, Fawang
(2009)
Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives.

*Mathematica Numerica Sinica*,*31*(2).

Liu, Q., Liu, Fawang, Turner, Ian, & Anh, Vo
(2011)
Finite element approximation for a modified anomalous subdiffusion equation.

*Applied Mathematical Modelling: simulation and computation for engineering and environmental systems*,*35*(8), pp. 4103-4116.
34

32

Macnamara, Shev & Burrage, Kevin
(2009)
Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade.

*Numerical Algorithms*,*51*(3), pp. 281-307.
2

2

Macnamara, Shev & Burrage, Kevin
(2010)
Stochastic Modeling of Naive T Cell Homeostasis for Competing Clonotypes via the Master Equation.

*Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal*,*8*(4), pp. 1325-1347.
4

3

Macnamara, Shev, Burrage, Kevin, & Sidje, Roger
(2008)
Multiscale modeling of chemical kinetics via the master equation.

*Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal*,*6*(4), pp. 1146-1168.
43

47

Macnamara, Shev, Burrage, Kevin, & Sidje, Roger
(2007)
An improved dynamic Finite State Projection algorithm for the numerical solution of the chemical master equation with applications.

*The ANZIAM Journal*,*48*, pp. 413-435.

Malik, Husnain, Larue, Gregoire S., Rakotonirainy, Andry, & Maire, Frederic D.
(2014)
Fuzzy logic to evaluate driving maneuvers: An integrated approach to improve training.

*IEEE Transactions on Intelligent Transportation Systems*,*16*(4), pp. 1728-1735.
43

Marquez-Lago, Tatiana, Leier, Andre, & Burrage, Kevin
(2010)
Probability distributed time delays: integrating spatial effects into temporal models.

*BMC Systems Biology*,*4*, pp. 1-16.
12

8

Melykuti, Bence, Burrage, Kevin, & Zygalakis, Konstantinos
(2010)
Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation.

*Journal of Chemical Physics*,*132*(16), pp. 1-12.
214

20

19

Mortimer, Duncan, Dayan, Peter, Burrage, Kevin, & Goodhill, Geoffrey
(2010)
Bayes-optimal chemotaxis.

*Neural Computation*,*23*(2), pp. 336-373.
11

10

Mortimer, Duncan, Dayan, Peter, Burrage, Kevin, & Goodhill, Geoffrey
(2010)
Optimizing chemotaxis by measuring unbound-bound transitions.

*Physica D: Nonlinear Phenomena*,*239*(9), pp. 477-484.
10

8

Nicolau, Jr, Dan & Burrage, Kevin
(2008)
Stochastic simulation of chemical reactions in spatially complex media.

*Computers and Mathematics with Applications*,*55*(5), pp. 1007-1018.
5

6

Pasdunkorale Arachchige, Jayantha & Turner, Ian W.
(2001)
Generalised finite volume strategies for
simulating transport in strongly
orthotropic porous media.

*ANZIAM Journal*,*44*(E), C443-C463.

Perignon, Christophe & Smith, Daniel
(2010)
Diversification and value-at-risk.

*Journal of Banking and Finance*,*34*(1), pp. 55-66.
22

16

Perignon, Christophe & Smith, Daniel
(2010)
The level and quality of Value-at-Risk disclosure by commercial banks.

*Journal of Banking and Finance*,*34*(2), pp. 362-377.
81

55

Reddy, Vikas, Sanderson, Conrad, & Lovell, Brian C.
(2013)
Improved foreground detection via block-based classifier cascade with probabilistic decision integration.

*IEEE Transactions on Circuits and Systems for Video Technology*,*23*(1), pp. 83-93.
77

28

17

Rodriguez, Blanca, Burrage, Kevin, Gavaghan, David, Grau, Vicente, Kohl, Peter, & Noble, Dennis
(2010)
The Systems Biology Approach to Drug Development: Application to Toxicity Assessment of Cardiac Drugs.

*Clinical Pharmacology & Therapeutics*,*88*(1), pp. 130-134.
41

34

Rubin, Amir & Smith, Daniel
(2011)
Comparing different explanations of the volatility trend.

*Journal of Banking and Finance*,*35*(6), pp. 1581-1597.
7

5

Rubin, Amir & Smith, Daniel
(2009)
Institutional ownership, volatility and dividends.

*Journal of Banking and Finance*,*33*(4), pp. 627-639.
17

13

Rue, Pau, Villa-Freixa, Jordi, & Burrage, Kevin
(2010)
Simulation methods with extended stability for stiff biochemical Kinetics.

*BMC Systems Biology*,*4*(110), pp. 1-13.
173

8

6

Ruiz-Medina, Maria, Anh, Vo, & Angulo, Jose
(2010)
Multifractional markov processes in heterogeneous domains.

*Stochastic Analysis and Applications*,*29*(1), pp. 15-47.
2

Saha, Suvash C., Akhter, C., & Hossain, M. A.
(2004)
Natural convection from a plane vertical porous
surface in non-isothermal surroundings.

*Nonlinear Analysis*,*9*(2), pp. 151-170.

Saha, Suvash C. & Hossain, M. A.
(2004)
Natural convection flow with combined buoyancy
effects due to thermal and mass diffusion in a
thermally stratified media.

*Nonlinear Analysis*,*9*(1), pp. 89-102.
202

Shen, Shujun, Liu, Fawang, & Anh, Vo
(2010)
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation.

*Numerical Algorithms*,*56*(3), pp. 383-403.
44

42

Sidje, Roger & Burrage, Kevin
(2005)
QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices.

*SIAM Journal on Matrix Analysis and Applications*,*26*(3), pp. 878-900.
1

1

Sidje, Roger, Burrage, Kevin, & Macnamara, Shev
(2007)
Inexact uniformization method for computing transient distributions of Markov chains.

*SIAM Journal on Scientific Computing*,*29*(6), pp. 2562-2580.
25

19

Sidje, Roger, Wiliams, Alan, & Burrage, Kevin
(2008)
Fast generalized cross validation using Krylov subspace methods.

*Numerical Algorithms*,*47*(2), pp. 109-131.
1

1

Simpson, Matthew
(2015)
Exact solutions of linear reaction-diffusion on a uniformly growing domain: criteria for successful colonization.

*PLOS ONE*,*10*(2), e0117949..
3

4

Simpson, Matthew & Baker, Ruth
(2011)
Corrected mean-field models for spatially-dependent
advection-diffusion-reaction phenomena.

*Physical Review E*,*83*(5), 051922-1--051922-15.
75

28

29

Simpson, Matthew & Ellery, Adam
(2014)
Exact series solutions of reactive transport models with general initial conditions.

*Journal of Hydrology*,*513*, pp. 7-12.
7

4

2

Simpson, Matthew & Landman, Kerry
(2006)
Characterizing and minimizing the operator split error for Fisher's equation.

*Applied Mathematics Letters*,*19*(7), pp. 604-612.
4

1

Simpson, Matthew, Landman, Kerry, & Newgreen, Don
(2006)
Chemotactic and diffusive migration on a nonuniformly growing domain: numerical algorithm development and applications.

*Journal of Computational and Applied Mathematics*,*192*(2), pp. 282-300.
26

24

Simpson, Matthew & McCue, Scott W.
(2015)
ANZIAM 2015.

*Gazette of the Australian Mathematical Society*,*42*(1), pp. 23-25.
8

Simpson, Matthew & Morrow, Liam
(2015)
Analytical model of reactive transport processes with
spatially variable coefficients.

*Royal Society Open Science*,*2*, 140348..

Smith, Daniel
(2009)
Asymmetry in stochastic volatility models: threshold or correlation?

*Studies in Nonlinear Dynamics and Econometrics*,*13*(3), pp. 1-34.
6

5

Su, Ninghu, Liu, Fawang, & Anh, Vo
(2003)
Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base.

*Environmental Modelling & Software*,*18*(10), pp. 937-942.
18

16

Tian, Tianhai & Burrage, Kevin
(2006)
An effective stepsize selection procedure for discrete simulation of biochemical reaction systems.

*The ANZIAM Journal*,*48*, pp. 1022-1040.

Tian, Tianhai, Burrage, Kevin, Burrage, Pamela, & Carletti, Margherita
(2007)
Stochastic delay differential equations for genetic regulatory networks.

*Journal of Computational and Applied Mathematics*,*205*(2), pp. 696-707.
97

82

Tran, Van, Yang, Bo-Suk, Oh, Myung-Suck, & Tan, Andy
(2009)
Fault diagnosis of induction motor based on decision trees and adaptive neuro-fuzzy inference.

*Expert Systems with Applications*,*36*(2), pp. 1840-1849.
68

52

Tran, Van, Yang, Bo-Suk, & Tan, Andy
(2009)
Multi-step ahead direct prediction for the machine condition prognosis using regression trees and neuro-fuzzy systems.

*Expert Systems with Applications*,*36*(5), pp. 9378-9387.
61

38

Trappey, Amy, Sun, Yong, Trappey, Charles, & Ma, Lin
(2011)
Re-engineering transformer maintenance processes to improve customized service delivery.

*Journal of Systems Science and Systems Engineering*,*20*(3), pp. 323-345.
5

2

Treloar, Katrina, Simpson, Matthew, Binder, Benjamin J., McElwain, Sean, & Baker, Ruth
(2014)
Assessing the role of spatial correlations during collective cell spreading.

*Scientific Reports*,*4*, 5713-1---8.
28

9

9

Turner, Ian, Belward, John, & Oqielat, Moa'Ath
(2010)
Error bounds for least squares gradient estimates.

*SIAM Journal on Scientific Computing*,*32*(4), pp. 2146-2166.
3

3

Turner, Ian, Rousset, Patrick, Remond, Romain, & Perre, Patrick
(2010)
An experimental and theoretical investigation of the thermal treatment of wood (Fagus sylvatica L.) in the range 200-260 °C.

*International Journal of Heat and Mass Transfer*,*53*(4), pp. 715-725.
50

40

Wechselberger, Martin & Pettet, Graeme
(2010)
Folds, canards and shocks in advection-reaction-diffusion models.

*Nonlinearity*,*23*(8), pp. 1949-1969.
7

7

Wiliem, Arnold, Sanderson, Conrad, Wong, Yongkang, Hobson, Peter, Minchin, Rodney F., & Lovell, Brian C.
(2014)
Automatic classification of human epithelial type 2 cell indirect immunofluorescence images using cell pyramid matching.

*Pattern Recognition*,*47*(7), pp. 2315-2324.
2

14

10

Wu, Y, Lui, G, & Gu, YuanTong
(2005)
Application of meshless local Petrov-Galerkin (MLPG) approach to simulation of incompressible flow.

*Numerical Heat Transfer Part B: Fundamentals: an international journal of computation and methodology*,*48*(5), pp. 459-475.
39

29

Yan, Lishi, Greenwood, Ava A., Hossain, Akram, & Yang, Bin
(2014)
A comprehensive mechanistic kinetic model for dilute acid hydrolysis of switchgrass cellulose to glucose, 5-HMF and levulinic acid.

*RSC Advances*,*4*(45), pp. 23492-23504.
7

5

Yang, Jian-Yi, Yu, Zu-Guo, & Anh, Vo
(2009)
Clustering structures of large proteins using multifractal analyses based on a 6-letter model and hydrophobicity scale of amino acids.

*Chaos, Solitons and Fractals*,*40*(2), pp. 607-620.
17

15

Yang, Qianqian, Liu, Fawang, & Turner, I.
(2010)
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives.

*Applied Mathematical Modelling*,*34*(1), pp. 200-218.
704

137

128

Yu, Q, Song, J, Liu, Fawang, Anh, Vo, & Turner, Ian
(2009)
An approximate solution for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model using the Adomian decomposition method.

*Journal of Algorithms and Computational Technology*,*3*(4), pp. 553-571.

Zhang, H & Liu, Fawang
(2005)
Numerical solution for the Levy-Feller diffusion equation.

*Numerical Mathematics (English Series): a journal of Chinese universities*,*S1*, pp. 238-241.

Zhang, H., Liu, Fawang, & Anh, Vo
(2010)
Galerkin finite element approximation of symmetric space-fractional partial differential equations.

*Applied Mathematics and Computation*,*217*(6), pp. 2534-2545.
53

49

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.

Zhuang, P., Liu, F., Anh, V., & Turner, I. W.
(2009)
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term.

*SIAM Journal on Numerical Analysis (SINUM)*,*47*(3), pp. 1760-1781.
796

141

126

Zhuang, P., Liu, F., Anh, V., & Turner, I. W.
(2009)
Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process.

*IMA Journal of Applied Mathematics*,*74*(5), pp. 645-667.
194

30

23

Zhuang, Pinghui & Liu, Fawang
(2005)
An explicit approximation for the space-time fractional diffusion equation.

*Numerical Mathematics (English Series): a journal of Chinese universities*,*S1*, pp. 223-230.

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

*ANZIAM Journal*,*48*(Supp), pp. 759-774.
6

Ziari, Iman, Ledwich, Gerard, Ghosh, Arindam, Cornforth, David, & Wishart, Michael
(2010)
Optimal allocation and sizing of capacitors to minimize the transmission line loss and to improve the voltage profile.

*Computers and Mathematics with Applications*,*60*(4), pp. 1003-1013.
18

18

## Conference Paper

Alavi, Azadeh, Wiliem, Arnold, Zhao, Kun, Lovell, Brian, & Sanderson, Conrad
(2014)
Random projections on manifolds of symmetric positive definite matrices for image classification. In

*IEEE Winter Conference on the Applications of Computer Vision*, March 24-26, 2014, Steamboat Springs, CO.
91

3

2

Alavi, Azadeh, Yang, Yan, Harandi, Mehrtash, & Sanderson, Conrad
(2013)
Multi-shot person re-identification via relational stein divergence. In

*ICIP 2013 Proceedings : 2013 IEEE International Conference on Image Processing*, Institute of Electrical and Electronics Engineers, Inc., Melbourne Convention and Exhibition Centre, Melbourne, pp. 3542-3546.
57

4

2

Bartlett, Peter L. & Traskin, Mikhail
(2006)
Adaboost and other large margin classifiers : convexity in pattern classification. In

*Proceedings of the 2006 Workshop on Defense Applications of Signal Processing (DASP'06)*, The Kingfisher Bay Resort, Fraser Island, Queensland, Australia.

Bevrani, Kaveh & Chung, Edward
(2012)
Comparison and modification of car following models toward a more accurate microscopic simulation parameters reproduction. In
Stevens, Alan & Chung, Edward (Eds.)

*19th ITS World Congress Proceedings*, AustriaTech, Messezentrum Wien Exhibition and Congress Center, Vienna, Austria .
161

Bustamam, Alhadi, Burrage, Kevin, & Hamilton, Nicholas
(2010)
Fast parallel Markov clustering in bioinformatics using massively parallel graphics processing unit computing. In
Ballarini, P, Barnat, J, & Weber, M (Eds.)

*Proceedings of the 9th International Workshop on Parallel and Distributed Methods in verifiCation and 2nd International Workshop on High Performance Computational Systems Biology*, 30 September - 1 October, 2010, Netherlands.
3

Carvajal, Johanna, McCool, Chris, & Sanderson, Conrad
(2014)
Summarisation of short-term and long-term videos using texture and colour. In

*WACV 2014 : IEEE Winter Conference on Applications of Computer Vision*, 24-26 March 2014, Sheraton Steamboat Resort, Steamboat Springs, Colorado. (Unpublished)
105

1

Chen, Shaokang, Sanderson, Conrad, Harandi, Mehrtash T., & Lovell, Brian C.
(2013)
Improved image set classification via joint sparse approximated nearest subspaces. In

*CVPR 2013 : Proceedings 2013 IEEE Conference on Computer Vision*, The Institute of Electrical and Electronics Engineers, Inc., Oregon Convention Centre, Portland, pp. 452-459.
39

15

15

Eduard, Hoenkamp
(2011)
Trading spaces : on the lore and limitations of latent semantic analysis. In
Amati, Giambattista & Crestani, Fabio (Eds.)

*Advances in Information Retrieval Theory : Third International Conference*, Springer-Verlag, University Residential Centre of Bertinoro, Bertinoro, Italy, pp. 40-51.

Greenwood, Ava A., Farrell, Troy W., Zhang, Zhanying, & O'Hara, Ian M.
(2015)
Limitations of a laboratory scale model in predicting optimal pilot scale conditions for dilute acid pretreatment of sugarcane bagasse. In
Bruce, Robin (Ed.)

*Proceedings of the 37th Conference of the Australian Society of Sugar Cane Technologists*, Australian Society of Sugar Cane Technologists Ltd, Bundaberg, Queensland, pp. 359-366.
45

Harandi, M., Sanderson, C., Shen, Chunhua, & Lovell, B.
(2013)
Dictionary learning and sparse coding on Grassmann manifolds : an extrinsic solution. In

*Proceedings 2013 IEEE International Conference on Computer Vision (ICCV)*, The Institute of Electrical and Electronics Engineers, Inc., Sydney Convention and Exhibition Centre, Sydney, Australia, pp. 3120-3127.
36

13

4

Larue, Gregoire S., Rakotonirainy, Andry, & Pettitt, Anthony N.
(2010)
Predicting driver's hypovigilance on monotonous roads: literature review. In

*1st International Conference on Driver Distraction and Inattention*, Gothenburg, Sweden.
816

Liu, Fawang, Anh, Vo, & Turner, Ian
(2003)
A two-Dimensional finite volume method for variable density flow and solute transport through saturated-unsaturated media. In

*The proceeding of the International Symposium on Nonlinear Science and Application*, Shanghai.
70

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.
19

Liu, Fawang, Yang, Qianqian, & Turner, Ian
(2009)
Stability and convergence of two new implicit numerical methods for the fractional cable equation. In
Anderson, K (Ed.)

*Proceedings of IDETC09/MSNDC 2009 Design Engineering Technical Conferences and Computers and Information in Engineering Conference*, 30 August - 2 September 2009, United States of America, California, San Diego.

Moroney, Timothy J. & Yang, Qianqian
(2012)
Efficient preconditioning of the method of lines for solving nonlinear two-sided space-fractional diffusion equations. In

*The 5th Symposium on Fractional Differentiation and its Applications*, 14-17 May, 2012, Hohai University, Nanjing, China.
211

Najafi, M., Auslander, D.M. , Bartlett, P.L., & Haves, P.
(2008)
Fault diagnostics and supervised testing : How fault diagnostic tools can be proactive? In
Grigoriadis , K. (Ed.)

*Proceeding (633) Intelligent Systems and Control - 2008*, ACTA Press, Orlando, USA , pp. 34-45.

Najafi, M. , Auslander, D.M. , Bartlett, P.L. , & Haves, P.
(2008)
Overcoming the complexity of diagnostic problems due to sensor network architecture. In
Grigoriadis , K. (Ed.)

*Proceeding (633) Intelligent Systems and Control - 2008*, ACTA Press, Orlando, USA.

Shirazi, Sareh, Harandi, Mehrtash, Lovell, Brian, & Sanderson, Conrad
(2014)
Object tracking via non-Euclidean geometry : a Grassmann approach. In

*IEEE Winter Conference on the Applications of Computer Vision*, March 24-26, 2014, Steamboat Springs, CO.
32

5

1

Suara, Kabir, Ketterer, Tim, Fairweather, Helen, McCallum, Adrian, Vanaki, Shayan M., Allan, Chris, et al.
(2016)
Cluster dispersion of low Cost GPS-tracked drifters in a shallow water. In

*10th Australasian Heat and Mass Transfer Conference*, 14-15 July 2016, Queensland University of Technology, Brisbane, Qld. (Unpublished)
15

Trisilowati, McCue, Scott W., & Mallet, Dann G.
(2014)
A cellular automata model to investigate immune cell–tumor cell interactions in growing tumors in two spatial dimensions. In
Eladdadi, Amina, Kim, Peter, & Mallet, Dann (Eds.)

*Springer Proceedings in Mathematics & Statistics [Mathematical Models of Tumor-Immune System Dynamics]*, Springer New York, Sydney, Australia, pp. 223-251.

Yang, Qianqian, Moroney, Timothy J., Liu, Fawang, & Turner, Ian
(2012)
Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation. In

*5th IFAC Symposium on Fractional Differentiation and its Applications*, 14-17 May 2012, Hohai University, Nanjing, China.
318

## Conference Item

Chen, Shaokang, Wiliem, Arnold, Sanderson, Conrad, & Lovell, Brian
(2014)
Matching image sets via adaptive multi convex hull. In

*WACV 2014: IEEE Winter Conference on Applications of Computer Vision*, 24-26 March 2014, Sheraton Steamboat Resort, Steamboat Springs, Colorado. (Unpublished)
44

2

Langton, Christian M.
(2010)
The Queensland Cancer Physics Collaborative and the Quantitative Biomedical Imaging & Characterisation (Q-BIC) Research Group. In

*Making Connections: Innovations in Research*, 10th February 2010, QUT. (Unpublished)## Report

Camtepe, Seyit, Tian, Yu-Chu, Jayalath, Dhammika, & Pieprzyk, Josef
(2016)

*Combinatorial Design of Secure Lightweight Data Dispersal Schemes (Work in Progress).*(Unpublished)
30

Wong, Yongkang, Harandi, Mehrtash T., & Sanderson, Conrad
(2013)

*On robust face recognition via sparse encoding : the good, the bad, and the ugly.*Cornell University Library / arXiv, Ithaca, NY.
53

3

## Review

Baker, P.R.A., Thomas, R.E., Thomas, B.C., Lorenzetti, D.L., Sully, E.P, & Dobbins, M.
(2015)
Family-based programmes for preventing smoking by children and adolescents: Evidence and implications for public health.

*Health Evidence*,*2015*(June).
1

## Thesis

Heymer, Kelly-Jean
(2012)

*Using mathematical modelling to evaluate drivers and predict trajectories of HIV and STI epidemics in South East Asian and Australian populations.*PhD thesis, University of New South Wales.
55

Saha, Suvash C.
(2009)

*Natural convection adjacent to an inclined flat plate and in an attic space under various thermal forcing conditions.*PhD thesis, School of Engineering and Physical Sciences.
193