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

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- Subjects classification (39632)
- Australian and New Zealand Standard Research Classification (39632)
- MATHEMATICAL SCIENCES (010000) (1328)
**NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)**(324)

- MATHEMATICAL SCIENCES (010000) (1328)

- Australian and New Zealand Standard Research Classification (39632)

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Number of items at this level:

**81**.## A

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

*BIT Numerical Mathematics*,*46*(4), pp. 689-710. 24

21

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

## B

Burrage, Kevin & Burrage, Pamela (2012) Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise.

*Journal of Computational and Applied Mathematics*,*236*(16), pp. 3920-3930. 91

8

6

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

Burrage, Kevin & Lythe, Grant (2009) Accurate stationary densities with partitioned numerical methods for stochastic differential equations.

*SIAM Journal on Numerical Analysis*,*47*(3), pp. 1601-1618. 3

2

Burrage, Kevin, Macnamara, Shev, & Tian, Tianhai (2006) Accelerated leap methods for simulating discrete stochastic chemical kinetics. In Commault, Christian & Marchand, Nicholas (Eds.)

*Lecture Notes in Control and Information Science: The Second Multidisciplinary International Symposium on Positive Systems : Theory and Applications (POSTA 06)*, Springer Verlag, France, Grenoble, pp. 359-366. 3

2

Burrage, Pamela & Burrage, Kevin (2014) Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise.

*Numerical Algorithms*,*65*(3), pp. 519-532. 26

## C

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. 221

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. 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

Carr, Elliot Joseph, Turner, Ian, & Perré, Patrick (2012) A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media : application to wood drying.

*Journal of Computational Physics*,*233*, pp. 66-82. 4

2

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. 57

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. 8

7

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, 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

Cusimano, Nicole, Burrage, Kevin, & Burrage, Pamela (2013) Fractional models for the migration of biological cells in complex spatial domains.

*The ANZIAM Journal*,*54*, C250-C270. 41

## E

Eddelbuettel, Dirk & Sanderson, Conrad (2014) RcppArmadillo : accelerating R with high-performance C++ linear algebra.

*Computational Statistics & Data Analysis*,*71*, pp. 1054-1063. 8

6

## G

Gu, YuanTong (2005) Meshfree methods and their comparisons.

*International Journal of Computational Methods (IJCM)*,*2*(4), pp. 477-515. 37

Gu, YuanTong, Zhuang, Pinghui, & Liu, Fawang (2010) An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation.

*Computer Modeling in Engineering & Sciences*,*56*(3), pp. 303-334. 228

20

17

## H

Hasan, M.N., Saha, S., & Saha, S.C. (2011) Effects of corrugation frequency and aspect ratio on natural convection within an enclosure having sinusoidal corrugation over a heated top surface.

*International Communications in Heat and Mass Transfer*,*39*(3), pp. 368-377. 192

3

3

Hasan, Muhammad N., Saha, Suvash C., & Gu, YuanTong (2012) Unsteady natural convection within a differentially heated enclosure of sinusoidal corrugated side walls.

*International Journal of Heat and Mass Transfer*,*55*(21-22), pp. 5696-5708. 177

1

3

How, Janice, Verhoeven, Peter, & Huang, Caro (2005) Information asymmetry surrounding earnings and dividend announcements: an intra-day analysis.

*Mathematics and Computers in Simulation*,*68*(5-6), pp. 463-473. 1

## I

Iu, Chi Kin & Chan, Siu Lai (2004) A simulation-based large deflection and inelastic analysis of steel frames under fire.

*Journal of Constructional Steel Research*,*60*(10), pp. 1495-1524. 23

19

## K

Kempthorne, Daryl, Turner, Ian W., Belward, John A., McCue, Scott W., Barry, Mark, Young, Joseph A., et al. (2014) Surface reconstruction of wheat leaf morphology from three-dimensional scanned data.

*Functional Plant Biology*. (In Press) 5

## L

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. 375

43

38

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. 156

57

47

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

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

13

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

95

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, QingXia, Gu, YuanTong, Zhuang, Pinghui, Liu, Fawang, & Nie, Yufeng (2011) An implicit RBF meshless approach for time fractional diffusion equations.

*Computational Mechanics*,*48*(1), pp. 1-12. 154

27

24

Loessner, Daniela, Flegg, Jennifer Anne, Byrne, Helen M., Clements, Judith, & Hutmacher, Dietmar (2013) Growth of confined cancer spheroids : a combined experimental marker, critical modelling approach.

*Integrative Biology*,*5*(3), pp. 597-605. 25

8

7

## M

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, & 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.Macnamara, Shev, Burrage, Kevin, & Sidje, Roger B. (2007) Stochastic analysis of the VEGF receptor response curve. In Pham, Tuan D. & Zhou, Xiaobo (Eds.)

*Computational Models For Life Sciences (CMLS '07): Proceedings of International Symposium on Computational Models for Life Sciences*, Springer, Australia, Queensland, pp. 238-247.Madhani, Jehangir T., Young, Joseph A., & Brown, Richard J. (2014) Visualising experimental flow fields through a stormwater gross pollutant trap.

*Journal of Visualization*,*17*(1), pp. 17-26. 10

McCue, Scott W., Moroney, Timothy J., & Bunder, Judith (2012) Preface to the proceedings of the 16th Computational Techniques and Applications Conference.

*ANZIAM Journal*,*54*.Molla, Md. Mamun, Saha, Suvash C., & Khan, M.A.I. (2012) MHD natural convection flow from an isothermal horizontal circular cylinder under consideration of temperature dependent viscosity.

*Engineering Computations*,*29*(8), pp. 875-887.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. 164

## N

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

## P

Paul, Sreebash C., Saha, Suvash C., & Gu, YuanTong (2012) Analysis of heat transfer and fluid flow in a triangular enclosure in presence of an adiabatic fin. In

*Proceedings of the 5th BSME International Conference on Thermal Engineering*, Bangladesh Society of Mechanical Engineers, Islamic University of Technology, Dhaka. 99

## R

Russell, Jeremy Hamilton, Kelson, Neil A., Barry, Mark D., Pearcy, Mark J., Fletcher, David F., & Winter, Craig D. (2013) Computational fluid dynamic analysis of intracranial aneurysmal bleb formation.

*Neurosurgey*,*73*(6), pp. 1061-1069. 1

1

## S

Saha, Suvash C. (2013) Effect of MHD and heat generation on natural convection flow in an open square cavity under microgravity condition.

*Engineering Computations*,*30*(1), pp. 5-20. 189

2

1

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. 137

Saha, Suvash C. (2012) Natural convection in the attic-shaped spaces. In Acosta, Morena J. (Ed.)

*Advances in Energy Research.*Nova Science Publishers, Inc., New York, 289-309 .Saha, Suvash C. (2012)

*Scaling analysis of natural convection boundary layers : Application to attic space.*Lambert Academic Publishing, Germany. 52

Saha, Suvash C., Brown, Richard J., & Gu, YuanTong (2012) Prandtl number scaling of the unsteady natural convection boundary layer adjacent to a vertical flat plate for Pr > 1 subject to ramp surface heat flux.

*International Journal of Heat and Mass Transfer*,*55*(23-24), pp. 7046-7055. 54

1

1

Saha, Suvash C., Brown, Richard J., & Gu, YuanTong (2012) Scaling for the Prandtl number of the natural convection boundary layer of an inclined flat plate under uniform surface heat flux.

*International Journal of Heat and Mass Transfer*,*55*(9-10), pp. 2394-2401. 78

3

3

Saha, Suvash C. & Gu, YuanTong (2011) Free convection in a triangular enclosure with fluid-saturated porous medium and internal heat generation. In

*10th Engineering Mathematics and Applications Conference*, 4th - 7th December 2011, University of Technology Sydney,Sydney. (Unpublished) 1

Saha, Suvash C. & Gu, YuanTong (2011) Natural convection in a triangular enclosure due to non-uniform cooling on top. In

*10th Engineering Mathematics and Applications Conference*, 4th - 7th December 2011, University of Technology, Sydney, Sydney, N.S.W.. (Unpublished)Saha, Suvash C. & Gu, YuanTong (2011) Prandtl number scaling of natural convection of an inclined flat plate due to uniform surface heat flux. In

*10th Engineering Mathematics and Applications Conference (EMAC 2011)*, 4th - 7th December 2011, University of Technology Sydney, Sydney, NSW. (Unpublished)Saha, Suvash C. & Khan, M.M.K. (2012) An improved boundary layer scaling with ramp heating on a sloping plate.

*International Journal of Heat and Mass Transfer*,*55*(9-10), pp. 2268-2284. 45

4

3

Saleem, M., Hossain, M.A., & Saha, S.C. (2012) Natural convection of nanofluids in open rectangular cavity. In

*Proceedings of the 5th BSME International Conference on Thermal Engineering*, Bangladesh Society of Mechanical Engineers, Islamic University of Technology, Dhaka. 114

Saleem, M., Hossain, Md.A., & Saha, S.C. (2012) Mixed convection flow of micropolar fluid in an open ended arc-shape cavity.

*Journal of Fluids Engineering - Transactions of ASME*,*134*(9), 091101.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

25

Siddiqa, Sadia, Hossain, M. Anwar, & Saha, Suvash C. (2012) Double diffusive magneto-convection fluid flow in a strong cross magnetic field with uniform surface heat and mass flux.

*Journal of Heat Transfer, Transaction of ASME*,*134*, p. 114506. 3

3

Siddiqa, Sadia, Hossain, Md. Anwar, & Saha, Suvash C. (2012) Mixed convection along a vertical flat plate in a non-absorbing medium. In

*Proceedings of the 5th BSME International Conference on Thermal Engineering*, Bangladesh Society of Mechanical Engineers, Islamic University of Technology, Dhaka. 63

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. 19

15

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

*Numerical Algorithms*,*47*(2), pp. 109-131.Simpson, Matthew & Landman, Kerry (2008) Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms.

*Mathematics and Computers in Simulation*,*77*(1), pp. 9-21. 1

2

Simpson, Matthew, Landman, Kerry, & Clement, T. Prabhakar (2005) Assessment of a non-traditional operator split algorithm for simulation of reactive transport.

*Mathematics and Computers in Simulation*,*70*(1), pp. 44-60. 21

20

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

## T

Taher, M.A., Saha, S.C., Lee, Y.W., & Kim, H.D. (2013) Numerical study of lid-driven square cavity with heat generation using LBM.

*American Journal of Fluid Dynamics*,*3*(2), pp. 40-47. 36

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. 75

60

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

## X

Xu, X., Gu, Y.T., & Yang, X. (2011) A node-based smoothed conforming point interpolation method (NS-CPIM) for elasticity problems.

*International Journal of Computational Methods*,*8*(4), pp. 801-812. 69

1

Xu, Xu, Liu, Gui-Rong, Gu, YuanTong, & Zhang, Guiyong (2010) A conforming point interpolation method (CPIM) by shape function reconstruction for elasticity problems.

*International Journal of Computational Methods*,*7*(3), pp. 369-395. 6

6

## Y

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

Yu, Q, Liu, Fawang, Anh, Vo, & Turner, Ian (2008) Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method.

*International Journal for Numerical Methods in Engineering*,*74*(1), pp. 138-158. 19

16

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.## Z

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

21

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, Pinghui, Gu, YuanTong, Liu, Fawang, Turner, Ian, & Yarlagadda, Prasad K. (2011) Time-dependent fractional advection–diffusion equations by an implicit MLS meshless method.

*International Journal for Numerical Methods in Engineering*. 174

11

9

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. 11

9