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 (32824)
- Australian and New Zealand Standard Research Classification (32824)
  - MATHEMATICAL SCIENCES (010000) (1132)
    - NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (286)
      - Numerical Analysis (010301) (100)
      - Numerical Solution of Differential and Integral Equations (010302) (39)
      - Numerical and Computational Mathematics not elsewhere classified (010399) (14)
      - Optimisation (010303) (70)

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Number of items at this level: 74.

A

Alcock, Jamie & Burrage, Kevin (2006) A note on the Balanced method. BIT Numerical Mathematics, 46(4), pp. 689-710.

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.

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.

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.

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.

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.

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.

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.

123

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.

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.

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.

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.

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.

E

Eddelbuettel, Dirk & Sanderson, Conrad (2013) RcppArmadillo : accelerating R with high-performance C++ linear algebra. Computational Statistics & Data Analysis. (In Press)

G

Gu, YuanTong (2005) Meshfree methods and their comparisons. International Journal of Computational Methods (IJCM), 2(4), pp. 477-515.

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.

136

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.

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.

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.

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.

279

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.

135

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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)

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

T

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.

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.

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.

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.

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.

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.

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.

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.

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.

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