# 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 (43117)
- Australian and New Zealand Standard Research Classification (43117)
- MATHEMATICAL SCIENCES (010000) (1434)
**NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)**(349)

- MATHEMATICAL SCIENCES (010000) (1434)

- Australian and New Zealand Standard Research Classification (43117)

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Number of items at this level:

**88**.## A

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

*BIT Numerical Mathematics*,*46*(4), pp. 689-710.
28

25

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.
107

10

10

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.
28

24

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.
5

5

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.
62

## 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.
247

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.
65

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.
5

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.
66

8

7

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.
14

15

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.
5

5

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.
70

## E

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

*Computational Statistics & Data Analysis*,*71*, pp. 1054-1063.
15

14

## G

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

*International Journal of Computational Methods (IJCM)*,*2*(4), pp. 477-515.
42

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.
283

28

26

## 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.
233

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.
237

3

4

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.
24

20

## K

Kempthorne, Daryl, Turner, Ian W., Belward, John A., McCue, Scott W., Barry, Mark, Young, Joseph A., et al.
(2015)
Surface reconstruction of wheat leaf morphology from three-dimensional scanned data.

*Functional Plant Biology*,*42*(5), pp. 444-451.
41

1

1

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.
5

4

## 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.
431

56

48

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.
166

75

70

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, 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.

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.
125

117

Liu, Fawang, Zhuang, Pinghui, Turner, Ian, Anh, Vo, & Burrage, Kevin
(2014)
Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model. In
Baleanu, Dumitru & Tenreiro Machado, Jose A. (Eds.)

*ICFDA 2014 International Conference on Fractional Differentiation and its Applications*, IEEE, Catania, Sicily, Italy, pp. 1-6.
6

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.
182

39

34

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.
48

10

9

## 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.
2

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.
12

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.
188

## N

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.
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.
126

## 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.
15

4

4

## 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.
225

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.
165

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.
56

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.
64

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.
95

4

4

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.
52

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.
135

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

*Numerical Algorithms*,*68*(3), pp. 443-454.
19

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.
36

34

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.
94

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.
22

16

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.
23

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.
22

20

## 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.
67

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.
84

71

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

## 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.
84

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, 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

14

Ye, H., Liu, F., Anh, V., & Turner, I.
(2014)
Maximum principle and numerical method for the multi-term time–space Riesz–Caputo fractional differential equations.

*Applied Mathematics and Computation*,*227*, pp. 531-540.
7

5

Ye, H., Liu, F., Anh, V., & Turner, I.
(2015)
Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains.

*IMA Journal of Applied Mathematics*,*80*(3), pp. 825-838.

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.
20

17

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

Zeng, Fanhai, Liu, Fawang, Li, Changpin, Burrage, Kevin, Turner, Ian, & Anh, V.
(2014)
A Crank--Nicolson ADI spectral method for a two-dimensional riesz space fractional nonlinear reaction-diffusion equation.

*SIAM Journal on Numerical Analysis*,*52*(6), pp. 2599-2622.
13

7

2

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.
34

30

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*.
228

18

13

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.
3

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

12