Vol. 50 (2008)

Published: 2008-08-05

Articles for Printed Issues

Practical Runge--Kutta methods for scientific computation

John Butcher
On the order of maximum error of the finite difference solutions of Laplace's equation on rectangles

Adiguzel Dosiyev, Suzan Cival Buranay
Arithmetic mean of values and value at mean of arguments for convex functions

Cristinel Mortici
Ambiguity in the Determination of the Free Energy for a Model of the Circle Map

Brian G Kenny, Tony W Dixon
The best least absolute deviations line---properties and two efficient methods

Kristian Sabo, Rudolf Scitovski
Space-like hypersurfaces in locally symmetric Lorentz space

Shu Shichang
Global existence and blow-up for non-Newton polytropic filtration system with nonlocal source

Jun Zhou, Chunlai Mu
Stability in distribution of nonlinear systems with time-varying delay and semi-Markovian switching

Zaiming Liu, Peng Jun
Hyper Wiener index of zigzag polyhex nanotubes

Mehdi Eliasi, Bijan Taeri
Perturbation results related to palindromic eigenvalue problems

Eric King-wah Chu, Wen-Wei Lin, Chern-Shuh Wang
A note on withdrawal from a two-layer fluid through a line sink in a porous medium

Graeme Charles Hocking, Hong Zhang
Space-Time Structure and Spinor Geometry

George Szekeres, Lindsay Andrew Peters
Temperature Modulation in Rayleigh-Benard Convection

Renu Bajaj, Jitender Singh
On a global upper bound for Jensen's inequality

Julije Jaksetic, Bogdan Gavrea, Josip Pecaric
On pseudomonotone set-valued mappings in topological vector space

Ali P Farajzadeh
A Class of Mix Design Problems: Formulation, Solution Methods and Applications

Zhong Wan, K T Teo, Ling Shuang Kong, Chunhua Yang
A method of improving oar efficiency

Maurice Brearley
The fundamental and numerical solutions of the Riesz space fractional reaction-dispersion equation

J Chen, Fawang Liu, Ian Turner, Vo Anh
New Gronwall-Ou-Iang type integral inequalities and their applications

Yeol Je Cho, Young-Ho Kim, Josip Pecaric
Delay-dependent robust $H_\infty$ control for singular systems with multiple delays

Shuqian Zhu, Chenghui Zhang, Xinzhi Liu, Zhenbo Li
Scheduling a heterogeneous set of trains over a single line track using Lagrangian Relaxation

Graham Mills, Scott Mackenzie
Cloud cavitation dynamics

John R Blake, Miles Wilson, Peter M Haese
A mathematical model for thelarge-scale transport of heatand water in the Taupo volcanic zone of New Zealand

Graham Weir
An analytic solution for one-dimensional dissipational strain-gradient plasticity

Roger Young
Modelling sea ice growth

Mark J McGuinness
Reconsidering trigonometric integrators

Robert I McLachlan, Dion R O'Neale
Effective slip length of nanoscale mixed-slip surfaces

Shaun C Hendy, Nat J Lund
A model of ion transport in conjugated polymers

John Burnell
Numerical determination of critical conditions for thermal ignition

W Luo, G C Wake, C W Hawk
Components and phases: modelling progressive hydrothermal eruptions

Robert McKibbin, Thomasin A Smith, Luke Fullard
Modelling the growth of zinc oxide nanostructures

Jade R Mackay, Stephen P White, Shaun C Hendy
A conceptual model for the origins of geothermal and volcanic activity in the North Island of New Zealand

Alex McNabb
Mathematical modelling of Wairakei geothermal field

Malcolm A Grant
orthogonal functions and Zernike polynomials---a random variable interpretation

C S Withers
An integral equation for the distribution of the first exit time of a reflected Brownian motion

Victor De-la-PeÃ±a, Gerardo Hernandez-del-Valle, Carlos Gabriel Pacheco-Gonzalez
A valuation formula for multi-asset, multi-period binaries in a Black--Scholes economy

Max Skipper, Peter Buchen
Reflected backward stochastic differential equations driven by a Levy process

Ren Yong, Xiliang Fan
Analysis of Block-SOR Iteration for the three dimensional Laplacian

Wenjun Zheng, Zhiqin Zhao
Unsteady boundary layers: convective heat transfer over a vertical flat plate

Kuppalapalle Vajravelu, Robert Van Gorder
Error estimates for Dominici's Hermite function asymptotic formula and some applications

Ron Kerman, Mei Ling Huang, Michael Brannan

Articles for Electronic Supplement

Combined instructions and template for articles submitted to the ANZIAM Journal

Anthony John Roberts
A remark on energy optimal strategies for a train movement

Pavel Pokorny

E1--E23
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Dynamical systems analysis of a two level trophic food web in the Southern Oceans

Scott A. Hadley, Larry K. Forbes

E24--E55
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Proceedings Computational Techniques and Applications Conference

Wall shear stress and flow stability in a model fusiform aneurysm

Gregory John Sheard, Kris Ryan

C1--C15
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Direct numerical simulation of turbulent intermediate Froude number fountain flow

Nicholas John Williamson, S. W. Armfield, W. Lin

C16--C30
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Simulation of acoustic scattering by multiple obstacles in three dimensions

Mahadevan Ganesh, Stuart C Hawkins

C31--C45
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A computational neuron model based on Poisson-Nernst-Planck theory

Paul Marlon Nanninga

C46--C59
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Application of rational Chebyshev polynomials to optical problems

Isaac Towers, Z. Jovanoski

C60--C74
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Visual cortex mapping by conjugate gradients

David Herschel Smith

C75--C89
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Post-processing of solutions of incompressible Navier-Stokes equations on rotating spheres

Mahadevan Ganesh, Quoc Thong Le Gia

C90--C106
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On estimation algorithms for ordinary differential equations

Michael Robert Osborne

C107--C120
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A far field based T-matrix method for three dimensional acoustic scattering

Mahadevan Ganesh, Stuart Collin Hawkins

C121--C136
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Linear stability analysis of a counter rotating vortex pair of unequal strength

Joine So, Kris Ryan, Gregory J Sheard

C137--C151
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Soliton solutions for the Korteweg-de Vries equation by homotopy analysis method

Hao Song, Longbin Tao

C152--C165
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Large scale simulation of fluid structure interaction using Lattice Boltzmann methods and the `physics engine'

Jan GÃ¶tz, Christian Feichtinger, Klaus Iglberger, Stefan Donath, Ulrich RÃ¼de

C166--C188
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Efficient solvers for incompressible fluid flows in geosciences

Artak Amirbekyan, Lutz Gross

C189--C203
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Porting a sphere optimization program from LAPACK to ScaLAPACK

Paul Charles Leopardi, Robert S. Womersley

C204--C219
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Dynamic hip fracture modelling

John Arundell, Aaron Simon Blicblau, David John Richards, Manmohan Singh

C220--C236
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Acceleration of inexact inverse iteration for eigenvalue problems

Alan Andrew, Pek-Hui Foo, Roger Tan, Markus Wachter

C237--C250
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Axisymmetric Hopf bifurcation in a free-surface rotating cylinder flow

Stuart James Cogan, Gregory J Sheard, Kris Ryan

C251--C265
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Numerical solutions to a boundary-integral equation with spherical radial basis functions

Duong Thanh Pham, Thanh Tran, Thong Quoc Le Gia

C266--C281
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Two-dimensional particle solution of the extended Hamilton-Jacobi equation

Dmitry Strunin

C282--C291
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Average and deviation for the stochastic FitzHugh--Nagumo system

Wei Wang, A. J. Roberts

C292--C307
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Quasi-Monte Carlo for finance applications

Mike Giles, Frances Y Kuo, Ian H Sloan, Benjamin J Waterhouse

C308--C323
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A mixed finite element method based on a biorthogonal system for nearly incompressible elastic problems

Bishnu Prasad Lamichhane

C324--C338
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Longitudinal dispersion in a horizontal subsurface flow constructed wetland: a numerical solution

AdÃ©rito AraÃºjo, ErcÃlia Sousa, AntÃ³nio Albuquerque

C339--C353
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Interpolation on the sphere: a fast solution technique

Thanh Tran, Quoc Thong Le Gia

C354--C370
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Approximating the solution of the chemical master equation by aggregation

Markus Hegland

C371--C384
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The Australian community climate and earth system simulator global and regional ensemble prediction scheme

Terence John O'Kane, Michael J Naughton, Yi Xiao

C385--C398
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A method for evaluating the modes of variability in general circulation models

Simon Grainger, Carsten S Frederiksen, Xiaogu Zheng

C399--C412
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Numerical solution of the 2D Poisson equation on an irregular domain with Robin boundary conditions

C413--C428
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The total quasi-steady state assumption: its justification by singular perturbation theory and its application to the chemical master equation

Chin Foon Khoo, Markus Hegland

C429--C443
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Temperature driven air flow through wine corks

Steven Ian Barry

C444--C458
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Parameterization of subgrid-scale energy injection in oceanic flows

Meelis Juma Zidikheri, Jorgen S. Frederiksen

C459--C473
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Solving water wave diffraction by an elliptic cylinder using scaled boundary finite element method

Longbin Tao, Hao Song

C474--C489
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Stochastic subgrid modelling for atmospheric large eddy simulations

Jorgen Segerlund Frederiksen, Meelis Juma Zidikheri

C490--C504
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Application of method of false transients to generate smooth grids around a body in motion

Eddie Ly, Daniel Norrison

C505--C518
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A study of the Hasegawa--Wakatani equations using an implicit explicit backward differentiation formula

Linda Stals

C519--C533
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Automated registration for augmenting micro-CT 3D images

Shane Jamie Latham, Trond Varslot, Adrian Sheppard

C534--C548
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Spectral solution methods for free-surface flow: the Rayleigh--Taylor problem

Larry K. Forbes

C549--C568
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A numerical approach to modelling avascular tumour evolution with white noise

Keng-Cheng Ang, Liang-Soon Tan

C569--C582
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A method for estimating the potential long-range predictability of precipitation over Western Australia

Carsten Segerlund Frederiksen, Simon Grainger, Xiaogu Zheng

C583--C597
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Estimating the potential predictability of Western Australian surface temperature using monthly data

Simon Grainger, Carsten S Frederiksen, Xiaogu Zheng

C598--C609
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A Petrov--Galerkin method for integro-differential equations with a memory term

Kassem Mustapha

C610--C624
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A method of lines approach for modelling saltwater intrusion in coastal aquifers

Tim Moroney, Simon Truscott

C625--C639
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Groundwater response to tidal forcing

Melanie Emmajade Roberts

C640--C653
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The adaptive augmented GMRES method for solving ill-posed problems

Nao Kuroiwa, Takashi Nodera

C654--C667
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Modelling heat transfer in steel coils

Steven Ian Barry, Winston L Sweatman

C668--C681
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Exact and numerical solutions for effective diffusivity and time lag through multiple layers

Roslyn Hickson, Steven Barry, Geoff Mercer

C682--C695
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Modelling parasite density in ruminants

Steven Ian Barry, Simon Brown

C696--C712
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The validity of axisymmetric assumptions when investigating pulsatile biological flows

Robert Aidan Jamison, Greg J. Sheard, Kris Ryan, Andreas Fouras

C713--C728
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Reduction of magnetic confinement fusion data for data mining applications

Frank Detering, Markus Hegland, Boyd Douglas Blackwell, David George Pretty, K. Nagasaki, S. Yamamoto

C729--C743
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Changes in flow and wall stresses through arterial constrictions offset from the centre of the vessel

Charlene S. Chua, Gregory J. Sheard, Kris Ryan, Andreas Fouras

C744--C759
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Open boundary conditions in numerical simulations of unsteady incompressible flow

Michael Philip Kirkpatrick, Steven William Armfield

C760--C773
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Efficient coupling of finite elements and boundary elements---adaptive procedures and preconditioners

Ernst Peter Stephan

C774--C799
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Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation

Qianqian Yang, Ian Turner, Fawang Liu

C800--C814
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Stochastic galerkin and collocation methods for quantifying uncertainty in differential equations: a review

John Davis Jakeman, Stephen Gwyn Roberts

C815--C830
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Numerical investigations of linear least squares methods for derivative estimation

John Alan Belward, Ian W Turner, Moa'ath Nasser Oqielat

C844--C857
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A note on the convergence analysis of a sparse grid multivariate probability density estimator

Stephen Gwyn Roberts, Sarah Bolt

C858--C870
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Fluid flow between active elastic plates

Dmitry Strunin

C871--C883
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Quasi-Monte Carlo for finance beyond Black--Scholes

Jan Baldeaux

C884--C897
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A numerical solution for moving boundary shallow water flow above parabolic bottom topography

Joe John Sampson

C898--C911
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Numerical study of flow generated in a lake and experiment using GPS

Masaji Watanabe, Ying Liu, Kazuhiro Yamamoto, Majda Ceric

C912--C929
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Mathematical analysis of microbial depolymerization processes of xenobiotic polymers

Masaji Watanabe, Fusako Kawai

C930--C946
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An interior penalty method for a two dimensional curl-curl and grad-div problem

Susanne C Brenner, Li-yeng Sung, Jintao Cui

C947--C975
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Modelling the cryogenic treatment of warts and recommendations for changes to current clinical practice

Geoff Mercer, Alexandra Tyson

C976--C989
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Influence of a channel bend on the purging of saline fluid from a cavity by an overflow of fresh water

Natalie L Gillam, Steve W Armfield, Michael P Kirkpatrick

C990--C1003
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Computer aided optimisation of a constant shear-rate micro-channel contraction

Simon Higgins, Gregory J Sheard, Andreas Fouras, Kerry Hourigan

C1004--C1016
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Oscillatiory combustion waves in a chain branching model

Harvinder Singh Sidhu, V. V. Gubernov, A. V. Kolobov, A. A. Polezhaev, G. N. Mercer, J. J. Sharples

C1017--C1032
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Modeling turbulent flow from dam break using slow manifolds

Dian Georgiev, Anthony Roberts, Dmitry Strunin

C1033--C1051
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Domain walls and their stability

Zlatko Jovanoski, Isaac Towers, Nadeem Ansari

C1052--C1065
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A springs and masses model for determining the lowest risk path in a threat environment

Martin Phillip Rowe, Geoff N Mercer, Harvinder S Sidhu

C1066--C1079
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