# 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 (39339)
- MATHEMATICAL SCIENCES (010000) (1324)
**APPLIED MATHEMATICS (010200)**(506)

- MATHEMATICAL SCIENCES (010000) (1324)

- Australian and New Zealand Standard Research Classification (39339)

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**134**.## 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. 5

4

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*. (In Press) 2

2

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

*BIT Numerical Mathematics*,*46*(4), pp. 689-710. 23

21

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. 3

2

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. 2

1

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

*Physical Review E (PRE)*,*82*(4), 041905-1---41905-12. 66

17

18

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

*Machine Learning*,*48*(1-3), pp. 85-113. 127

92

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

*Journal of Artificial Intelligence Research*,*15*, 319-350 . 235

155

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. 153

1

1

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. 23

19

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. 217

9

7

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. 40

35

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. 56

6

4

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. 7

7

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*. 143

23

22

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. 34

29

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. 3

2

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. 200

10

8

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). 47

5

5

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. 1

1

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. 38

32

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

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

*Quantitative Finance*,*10*(2), pp. 131-140. 3

3

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. 10

8

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

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. 44

31

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*. (In Press)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. 4

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. 3

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

*Advances in Water Resources*,*28*(10), pp. 1048-1056. 13

12

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. 20

16

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. 5

2

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. 8

7

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

*Water Resources Research*,*43*(6), 06501-06506. 8

8

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. 22

23

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. 107

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. 220

11

6

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. 209

6

4

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

*Journal of Geodesy*,*84*(11), pp. 683-698. 9

5

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. 374

43

38

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. 204

1

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. 155

55

46

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

*Numerical Mathematics (English Series): a journal of Chinese universities*,*27*(3), pp. 267-273.Liu, Fawang, Anh, Vo, Turner, Ian, & Zhuang, Pinghui (2004) Numerical simulation for solute transport in fractal porous media.

*ANZIAM Journal*,*45*, C461-C473. 77

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. 539

64

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. 14

12

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. 133

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. 37

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. 101

91

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. 221

12

14

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. 12

11

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. 1

1

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. 1

1

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. 33

35

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.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. 9

7

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. 181

14

9

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

*Neural Computation*,*23*(2), pp. 336-373. 7

6

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. 7

5

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

*Computers and Mathematics with Applications*,*55*(5), pp. 1007-1018. 4

5

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. 15

8

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. 45

30

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. 43

10

4

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. 31

26

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

*Journal of Banking and Finance*,*35*(6), pp. 1581-1597. 3

3

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

*Journal of Banking and Finance*,*33*(4), pp. 627-639. 13

11

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. 84

5

5

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. 143

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. 27

24

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. 18

14

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

*Numerical Algorithms*,*47*(2), pp. 109-131.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. 57

17

16

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

*Journal of Hydrology*. (In Press)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. 20

18

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

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

1

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. 17

14

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. 74

59

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. 52

41

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. 43

28

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*, p. 5713.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. 2

1

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. 29

23

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

*Nonlinearity*,*23*(8), pp. 1949-1969. 3

3

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

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. 32

25

Yang, Jian-Yi, Yu, Zuguo, & 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. 13

11

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. 604

75

64

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. 23

18

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. 638

68

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. 142

14

10

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.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. 10

9

## 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. 22

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. 7

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 . 111

Carr, Elliot Joseph, Turner, Ian, & Ilic, Milos (2011) Krylov subspace approximations for the exponential Euler method : error estimates and the harmonic Ritz approximant. In McLean, W. & Roberts, A.J. (Eds.)

*Proceedings of the 15th Biennial Computational Techniques and Applications Conference, CTAC-2010*, ANZIAM Journal, University of New South Wales, Sydney, NSW, C612-C627. 55

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. 7

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.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. 18

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. 608

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. 52

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. 161

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. 12

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. 222

## Conference Item

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) 4

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) 11

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

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. 34

## 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. 3

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. 135