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Richard P. Brent Some high-order zero-finding methods using almost orthogonal polynomials . . 1--29 L. H. Campbell A programming model for student enrolment planning . . . . . . . . . . . 30--39 L. W. Morland Existence of solutions of plane traction problems for inextensible transversely isotropic elastic solids . . . . . . . . 40--54 J. C. Patterson and J. M. Fitz-Gerald The measurement of blood pressure . . . 55--65 E. O. Tuck On air flow over free surfaces of stationary water . . . . . . . . . . . . 66--80 D. L. Clements and C. Rogers Analytic solution of the linearized shallow-water wave equations for certain continuous depth variations . . . . . . 81--94 J. N. Newman Swimming of slender fish in a non-uniform velocity field . . . . . . . 95--111 Peter E. Kloeden Some remarks on relative stability . . . 112--115 E. R. Smith and J. W. Perram Thermodynamic limit for a system with dipole--dipole interactions . . . . . . 116--128 Anonymous ANZ volume 19 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 19 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
H. S. Green Spectral resolution of the identity for matrices of elements of a Lie algebra 129--139 L. K. Patel and V. M. Trivedi Some axially symmetric zero mass meson solutions of Einstein's equations . . . 140--145 A. S. Jones Heat transfer in the thermal entrance region of a flat duct . . . . . . . . . 146--160 J. R. Blake A note on integral representations in Stokes flow . . . . . . . . . . . . . . 161--164 R. Van der Borght The effect of viscous dissipation on non-linear convection at high Rayleigh number . . . . . . . . . . . . . . . . . 165--172 James P. Abbott and Richard P. Brent Fast local convergence with single and multistep methods for nonlinear equations . . . . . . . . . . . . . . . 173--199 J. E. Drummond A formula for summing divergent series 200--214 R. D. Bhargava and Ram Narayan Concentric circular misfit and a circular arc crack in an infinite isotropic elastic plate . . . . . . . . 215--228 G. P. Steven Contact problem of an elastic plug in an elastic region . . . . . . . . . . . . . 229--241 L. T. M. Berry On the solution of a structured nonlinear programme . . . . . . . . . . 242--248 P. E. Kloeden Aggregation-decomposition and equi-ultimate boundedness . . . . . . . 249--258 Anonymous ANZ volume 19 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 19 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
E. R. Love and D. L. Clements A transformation of Cooke's treatment of some triple integral equations . . . . . 259--288 Animesh Basu A note on stress concentration around an elliptic hole in micropolar elasticity 289--293 R. G. Keats and V. K-K. Yu A generalisation of the study of sum and square law signal processors with multiple clipped inputs . . . . . . . . 294--315 John M. Blatt Optimal control with a cost of switching control . . . . . . . . . . . . . . . . 316--332 Bertram Mond and Murray Schechter A programming problem with an $ L_p $ norm in the objective function . . . . . 333--342 M. R. Osborne Nonlinear least squares --- the Levenberg algorithm revisited * . . . . 343--357 R. D. Braddock and P. Van Den Driessche On the stability of differential--difference equations . . . 358--370 G. Paria and A. K. Sharma Effect of static magnetic field on the helical flow of incompressible cholesteric liquid crystal between two coxial circular cylinders having rotational and axial velocities . . . . 371--380 L. J. Gregory and A. H. Klotz On the variational derivation of Einstein's strong field equations . . . 381--386 Anonymous ANZ volume 19 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 19 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Derek W. Robinson Properties of propagation of quantum spin systems . . . . . . . . . . . . . . 387--399 James K. Knowles On finite anti-plane shear for imcompressible elastic materials . . . . 400--415 J. E. Drummond Summing a common type of slowly convergent series of positive terms . . 416--421 Ian H. Sloan Convergence of degenerate-kernel methods 422--431 G. M. Webb Similarity solutions of the steady state cosmic-ray equation of transport . . . . 432--451 C. V. Pao A Boltzmann-type equation in the kinetic theory of vehicular traffic . . . . . . 452--461 B. D. Craven and B. Mond Sufficient Fritz John optimality conditions for nondifferentiable convex programming . . . . . . . . . . . . . . 462--468 Geoffrey Yeo A dam with general release rule . . . . 469--477 John M. Blatt Control systems with time lags . . . . . 478--492 N. G. Barton On the asymptotic solution of an elliptic interior layer problem . . . . 493--512 Anonymous Contents . . . . . . . . . . . . . . . . 513--514 Anonymous ANZ volume 19 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 19 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
James K. Knowles A note on anti-plane shear for compressible materials in finite elastostatics . . . . . . . . . . . . . 1--7 P. E. Kloeden and R. A. Pearson The numerical solution of stochastic differential equations . . . . . . . . . 8--12 R. Grimshaw The stability of continental shelf waves I. Side band instability and long wave resonance . . . . . . . . . . . . . . . 13--30 E. S. Noussair On the existence of piecewise continuous optimal controls . . . . . . . . . . . . 31--37 P. K. Smrz Translations as gauge transformations 38--45 C. Macaskill and E. O. Tuck Evaluation of the acoustic impedance of a screen . . . . . . . . . . . . . . . . 46--61 P. Chadwick and C. F. M. Creasy and V. G. Hart The deformation of rubber cylinders and tubes by rotation . . . . . . . . . . . 62--96 P. G. L. Leach On a direct method for the determination of an exact invariant for the time-dependent harmonic oscillator . . . 97--105 M. Hayes Energy flux for plane waves in linear conservative systems . . . . . . . . . . 106--113 Peter Szekeres and John R. Rankin Homogeneous Newtonian cosmologies and their perturbations . . . . . . . . . . 114--128 Anonymous ANZ volume 20 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 20 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
James M. Hill Generalized shear deformations for isotropic incompressible hyperelastic materials . . . . . . . . . . . . . . . 129--141 J. M. Blatt and J. D. Gray An elementary derivation of Pontrayagin's maximum principle of optimal control theory . . . . . . . . . 142--156 James P. Abbott and Richard P. Brent A note on continuation methods for the solution of nonlinear equations . . . . 157--164 G. M. Webb A monoenergetic-source solution of the steady-state cosmic-ray equation of transport . . . . . . . . . . . . . . . 165--174 Mitsuru Nakai and Leo Sario Green's function of the clamped punctured disk . . . . . . . . . . . . . 175--181 J. V. Corbett and C. A. Hurst Are wave functions uniquely determined by their position and momentum distributions? . . . . . . . . . . . . . 182--201 W. Brisley Two related estimation problems . . . . 202--210 I. L. Collings and R. Grimshaw Supercritical flow of an ideal fluid over a spillway . . . . . . . . . . . . 211--225 J. J. Shepherd A nonlinear singular perturbation problem on a semi-infinite interval . . 226--240 J. R. Philip Inverse power law potentials about polygonal prisms and in polygonal cavities . . . . . . . . . . . . . . . . 241--253 James P. Abbott and Richard P. Brent [Correction:] Fast local convergence with single and multistep methods for nonlinear equations . . . . . . . . . . 254 Anonymous ANZ volume 20 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 20 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
C. H. Scott and T. R. Jefferson A duality approach ot discrete time control theory . . . . . . . . . . . . . 257--264 N. G. Barton The initial dispersion of soluble matter in three-dimensional flow . . . . . . . 265--279 Phil Diamond Discrete Liapunov functions with $ \Delta^2 V > 0 $ . . . . . . . . . . . . 280--284 N. Anderson and A. M. Arthurs Maximum and minimum principles for capillary surface problems with prescribed contact angle . . . . . . . . 285--289 M. D. Gould On tensor operators and characteristic identities for semi-simple Lie algebras 290--314 J. M. Murray and K. L. Teo On a computational algorithm for a class of optimal control problems involving discrete time delayed arguments . . . . 315--343 M. D. Patel A class of axially symmetric stationary exact solutions of Einstein's vacuum field equations . . . . . . . . . . . . 344--351 Krisorn Jittorntrum and M. R. Osborne Trajectory analysis and extrapolation in barrier function methods . . . . . . . . 352--369 M. E. Fisher and P. E. Kloeden Asymptotic behaviour of a class of discontinuous difference equations . . . 370--374 D. F. Hines and C. J. Thompson A one-dimensional random walk with repulsion . . . . . . . . . . . . . . . 375--380 E. R. Love and D. L. Clements A transformation of Cooke's treatment of some triple integral equations + . . . . 381--383 Anonymous ANZ volume 20 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 20 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Peter W. Buchen The elastodynamic Green's tensor for the $2$D half-space . . . . . . . . . . . . 385--400 M. D. Gould The characteristic identities and reduced matrix elements of the unitary and orthogonal groups . . . . . . . . . 401--433 W. L. Chan and S. K. Ng Variational control problems for linear differential systems with Stieltjes boundary conditions . . . . . . . . . . 434--445 A. Cant and C. A. Hurst The algebraic structure of relativistic wave equations . . . . . . . . . . . . . 446--486 T. R. Jefferson and C. H. Scott On finding a point in the relative interior of a polyhedral set and degeneracy in geometric programming . . 487--494 V. T. Buchwald The diffraction of elastic waves by small cylindrical cavities . . . . . . . 495--507 J. R. Philip Inverse power law potentials about polygonal prisms and in polygonal cavities + . . . . . . . . . . . . . . . 508 Anonymous Contents of Volume 20 . . . . . . . . . 509--510 Anonymous ANZ volume 20 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 20 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
K. A. Landman Bifurcation and stability of periodic solutions from a zero eigenvalue . . . . 2--20 K. L. Teo Existence of optimal controls for systems governed by second order linear parabolic partial delay-differential equations with first boundary conditions 21--36 C. H. Scott and T. R. Jefferson Characterizations of optimality for continuous convex mathematical programs. Part I. Linear constraints . . . . . . . 37--44 L. K. Forbes A note on the solution of the one-dimensional unsteady equations of arterial blood flow by the method of characteristics . . . . . . . . . . . . 45--52 Sribatsa Nanda $A$-topology for Minkowski space . . . . 53--64 F. M. Skalak and C. Y. Wang On the unsteady squeezing of a viscous fluid from a tube . . . . . . . . . . . 65--74 A. M. Arthurs and V. G. Hart The method of the hypercircle for a class of nonlinear equations . . . . . . 75--83 A. N. Stokes Series operations using minimum storage 84--89 S. Nababan and E. S. Noussair Existence theorems for optimal control of quasilinear parabolic partial differential equations . . . . . . . . . 90--101 N. Anderson and A. M. Arthurs Complementary variational principles for a class of nonlinear boundary value problems . . . . . . . . . . . . . . . . 102--112 David J. Clements A representation result for two-input two-output decentralized control systems 113--127 Anonymous ANZ volume 21 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 21 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Sita Bhaskaran and Franz J. M. Salzborn Optimal diameter assignment for gas pipeline networks . . . . . . . . . . . 129--144 J. W. Evans Aspects of the kinetic equations for a special one-dimensional system . . . . . 145--175 J. B. Moore and G. Ledwich Multivariable adaptive parameter and state estimators with convergence analysis . . . . . . . . . . . . . . . . 176--197 J. M. Golden The problem of a rigid punch moving on a viscoelastic half-plane with inertial effects approximately included . . . . . 198--229 R. J. Evans and A. Cantoni A note on least-squares approximation with range constraints . . . . . . . . . 230--242 D. L. Clements and T. R. Tauchert A thermoelastic crack problem for an anisotropic slab . . . . . . . . . . . . 243--255 Anonymous ANZ volume 21 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 21 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
J. H. Loxton and J. W. Sanders The kernel of a rule of approximate integration . . . . . . . . . . . . . . 257--267 James A. Fill and Alan J. Izenman Invariance properties of Schoenberg's tone row system . . . . . . . . . . . . 268--282 P. D. Simms On the solution of a partially structured nonlinear program . . . . . . 283--292 J. D. Love Solution of homogeneous linear difference equations . . . . . . . . . . 293--296 S. Rosenblat Asymmetric bifurcation . . . . . . . . . 297--304 Krisorn Jittorntrum and M. R. Osborne A modified barrier function method with improved rate of convergence for degenerate problems . . . . . . . . . . 305--329 A. M. Arthurs Hypercircle estimates for nonlinear problems . . . . . . . . . . . . . . . . 330--337 H. A. Buchdahl Scale covariant Lagrangians and spaces reciprocal to static Einstein spaces . . 338--344 David Clark An algorithm for solving the restricted least squares problem . . . . . . . . . 345--356 Sribatsa Nanda A note on maximal and minimal causal spaces . . . . . . . . . . . . . . . . . 357--364 John Paine and Frank de Hoog Uniform estimation of the eigenvalues of Sturm--Liouville problems . . . . . . . 365--383 V. T. Buchwald The diffraction of elastic waves by small cylindrical cavities + . . . . . . 384 Anonymous ANZ volume 21 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 21 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
K. L. Teo and B. D. Craven On a computational algorithm for time-lag optimal control problems with restricted phase coordinates . . . . . . 385--397 C. H. Scott and T. R. Jefferson Fractional programming duality via geometric programming duality . . . . . 398--401 James A. Fill and Alan J. Izenman The structure of RI-invariant twelve-tone rows . . . . . . . . . . . . 402--417 Neville J. Hathaway and Ian W. Murray and Johan A. Rickard The stability of Bishop's warfare strategy . . . . . . . . . . . . . . . . 418--432 Stephen C. Hennagin and Peter Linz Exclusion regions for eigenvalues of linear operators . . . . . . . . . . . . 433--439 E. O. Tuck Doubling strategies for backgammon-like games . . . . . . . . . . . . . . . . . 440--451 R. M. Lewis Stability of non-linear systems with time-varying delays . . . . . . . . . . 452--463 R. P. Akabari and U. K. Dave and L. K. Patel Some pure radiation filds in general relativity . . . . . . . . . . . . . . . 464--473 Derek W. Robinson Propagation properties in scattering theory . . . . . . . . . . . . . . . . . 474--485 A. F. Beecham and A. C. Hurley A scheduling problem with a simple graphical solution . . . . . . . . . . . 486--495 P. E. Kloeden Stability of large-scale systems with lagged interconnections . . . . . . . . 496--509 Anonymous Contents of Volume XXI . . . . . . . . . 510--511 Anonymous ANZ volume XXI issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume XXI issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
D. I. Clark and M. R. Osborne On the implementation of a subset selection algorithm for the restricted least squares problem . . . . . . . . . 2--11 P. G. L. Leach The complete symmetry group of a forced harmonic oscillator . . . . . . . . . . 12--21 N. Phan-Thien Small strain oscillatory squeeze film flow of simple fluids . . . . . . . . . 22--27 P. Dolan and P. Choudhury and J. L. Safko A `constant of the motion' for the geodesic deviation equation . . . . . . 28--33 E. M. Casling A theoretical investigation of an asymmetric planing hull at infinite Froude number . . . . . . . . . . . . . 34--52 V. N. Singh Solution of a general homogeneous linear difference equation . . . . . . . . . . 53--57 James M. Hill A discrete random walk model for diffusion in media with double diffusivity . . . . . . . . . . . . . . 58--74 J. J. Shepherd The one-dimensional gas-lubricated slider bearing . . . . . . . . . . . . . 75--97 V. G. Hart Exact solutions of two nonlinear equations and hypercircle estimates . . 98--103 E. O. Tuck The effect of a submerged barrier on the natural freqencies and radiation damping of a shallow basin connected to open water . . . . . . . . . . . . . . . . . 104--128 Anonymous ANZ volume 22 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 22 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Ola Bratteli and Derek W. Robinson Equilibrium states of a Bose gas with repulsive interactions . . . . . . . . . 129--147 K. Gopalsamy and B. D. Aggarwala Limit cycles in two spacies competition with time delays . . . . . . . . . . . . 148--160 N. Riahi On a nonlinear hydromagnetic convection under a rotational constraint . . . . . 161--174 R. G. Keats and Joan Cooper The optimum processing of clipped signals: an approach based on minimum signal distortion . . . . . . . . . . . 175--184 J. W. Nieuwenhuis About a local approximation theorem and an inverse function theorem . . . . . . 185--192 K. K. Tam On the influence of the initial data in a combustion problem . . . . . . . . . . 193--209 S. N. Biswas and T. S. Santhanam Coherent states of para-Bose oscillators 210--217 D. L. Clements A boundary integral equation method for the numerical solution of a second order elliptic equation with variable coefficients . . . . . . . . . . . . . . 218--228 T. R. Jefferson and C. H. Scott Geometric programming with probabilistic decision variables . . . . . . . . . . . 229--236 D. D. Do and R. H. Weiland Poisoning-induced exchange of steady states in a catalytic chemical reactor 237--253 V. N. Singh Solution of a general homogeneous linear difference equation + . . . . . . . . . 254 Anonymous ANZ volume 22 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 22 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
L. K. Forbes On the evolution of shock-waves in mathematical models of the aorta . . . . 257--269 R. P. Kulkarani and B. V. Limaye On error bounds in strong approximations for eigenvalue problems . . . . . . . . 270--283 N. K. Agarwal and Sunil Datta Flow in the porous region between slowly rotating prolate spheroids . . . . . . . 284--290 D. J. Gates and M. Westcott Extended optima and equilibria for continuous games. I. General results . . 291--307 J. W. Nieuwenhuis Some remarks on set-valued dynamical systems . . . . . . . . . . . . . . . . 308--313 S. A. H. Rizvi Solution of a general liner difference equation . . . . . . . . . . . . . . . . 314--317 R. Grimshaw Mean flows generated by a progressing water wave packet . . . . . . . . . . . 318--347 A. McNabb The asymptotic response of a calorimeter 348--352 A. H. England Love's integral and other relations between solutions to mixed boundary-value problems in potential theory . . . . . . . . . . . . . . . . . 353--367 S. N. Stuart Non-classical integrals of Bessel functions . . . . . . . . . . . . . . . 368--378 Anonymous ANZ volume 22 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 22 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
F. J. Rizzo and D. J. Shippy The boundary integral equation method with application to certain stress concentration problems in elasticity . . 381--393 David L. Clements and Oscar A. C. Jones The boundary integral equation method for the solution of a class of problems in anisotropic elasticity . . . . . . . 394--407 P. M. Anselone Singularity subtraction in the numerical solution of integral equations . . . . . 408--418 G. Vainikko and A. Pedas The properties of solutions of weakly singular integral equations . . . . . . 419--430 G. Vainikko and P. Uba A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel . . . . . . 431--438 Françoise Chatelin and Rachid Lebbar The iterated projection solution for the Fredholm integral equation of second kind . . . . . . . . . . . . . . . . . . 439--451 Lin Qun Deferred corrections for equations of the second kind . . . . . . . . . . . . 452--455 Ivan G. Graham Collocation methods for two dimensional weakly singular integral equations . . . 456--473 K. W. Chu and A. Spence Deferred correction for the integral equation eigenvalue problem . . . . . . 474--487 R. S. Anderssen and P. M. Prenter A formal comparison of methods proposed for the numerical solution of first kind integral equations . . . . . . . . . . . 488--500 D. M. O'Brien and J. N. Holt The extension of generalized cross-validation to a multi-parameter class of estimators . . . . . . . . . . 501--514 Christopher T. H. Baker and Joan C. Wilkinson Stability analysis of Runge--Kutta methods applied to a basic Volterra integral equation . . . . . . . . . . . 515--538 David Elliott A convergence theorem for singular integral equations . . . . . . . . . . . 539--552 Anonymous Contents of Volume 22 . . . . . . . . . 553--554 Anonymous ANZ volume 22 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 22 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
R. W. O'Brien The gliding motion of a bacterium: Flexibacter strain BH3 . . . . . . . . . 2--16 J. J. Mahony and J. J. Shepherd Stiff systems of ordinary differential equations. Part 1. Completely stiff, homogeneous systems . . . . . . . . . . 17--51 R. Kleeman On representations of a generalized method of field quantization . . . . . . 52--63 Renfrey B. Potts Exact solution of a difference approximation to Duffing's equation . . 64--77 A. Brown Equations for periodic solutions of a logistic difference equation . . . . . . 78--94 K. K. Tam and M. T. Kiang The response to a hot spot in a combustion problem . . . . . . . . . . . 95--102 James Caldwell Effects of iron on a toroidal conductor 103--114 Anonymous ANZ volume 23 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 23 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
John M. Blatt Optimal control theory with general constraints . . . . . . . . . . . . . . 115--126 R. S. Anderssen and R. B. Calligaro Non-destructive testing of optical-fibre preforms . . . . . . . . . . . . . . . . 127--135 J. J. Mahony and J. J. Shepherd Stiff systems of ordinary differential equations: II. Boundary-value problems for completely stiff systems . . . . . . 136--172 P. G. L. Leach Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem . . . . . . . . . . . . . . . . 173--186 D. J. Gates and M. Westcott Extended optima and equilibria for continuous games: II. A class of economic models . . . . . . . . . . . . 187--209 D. J. Gates and M. Westcott Extended optima and equilibria for continuous games: III. Comparison with bargaining experiments . . . . . . . . . 210--227 Anonymous ANZ volume 23 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 23 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Michael N. Barber and C. J. Hamer Extrapolation of sequences using a generalized epsilon-algorithm . . . . . 229--240 E. O. Tuck Linearized planing-surface theory with surface tension. Part I: Smooth detachment . . . . . . . . . . . . . . . 241--258 E. O. Tuck Linearized planing-surface theory with surface tension. Part II: Detachment with discontinuous slope . . . . . . . . 259--277 D. D. Do and R. H. Weiland Dynamics of rapid extinction in a lumped system with Arrhenius chemistry . . . . 278--290 C. E. M. Pearce A generalization of Rapp's formula . . . 291--296 J.-Y. Parlange and R. D. Braddock and G. Sander and F. Stagnitti Three dimensional similarity solutions of the nonlinear diffusion equation from optimization and first integrals . . . . 297--309 J. J. Mahony and J. J. Shepherd Stiff systems of ordinary differential equations. III. Partially stiff systems 310--331 Kendall Atkinson Numerical integration on the sphere . . 332--347 Anonymous ANZ volume 23 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 23 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Renfrey B. Potts Best difference equation approximation to Duffing's equation . . . . . . . . . 349--356 P. G. Howlett Input retrieval in finite dimensional linear systems . . . . . . . . . . . . . 357--382 J. R. Blake and P. Cerone A note on the impulse due to a vapour bubble near a boundary . . . . . . . . . 383--393 Izu Vaisman On the quantization of quadratic momenta 394--402 E. O. Tuck An inviscid theory for sliding flexible sheets . . . . . . . . . . . . . . . . . 403--415 A. J. Bracken A transformation to linearity of some non-linear differential-difference equations . . . . . . . . . . . . . . . 416--419 J. V. Corbett The commutation relation $ i [Y, Z] = 2 Y $ and the absolutely continuous spectrum of $Y$ . . . . . . . . . . . . 420--427 W. L. Chan Suboptimality in linear control systems with time delay . . . . . . . . . . . . 428--437 P. Cerone and K. P. Tognetti The asymptotic behaviour due to a piecewise time dependent net maternity function . . . . . . . . . . . . . . . . 438--450 D. H. Anderson and E. A. Catchpole and N. J. de Mestre and T. Parkes Modelling the spread of grass fires . . 451--466 Anonymous Contents of Volume 23 . . . . . . . . . 467--468 Anonymous ANZ volume 23 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 23 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
G. R. Bigg and E. O. Tuck Two-dimensional resonators with small openings . . . . . . . . . . . . . . . . 2--27 J. E. Drummond On interpreting the sums of asymptotic series of positive terms . . . . . . . . 28--39 K. K. Tam Computation of critical parameters for a problem in combustion theory . . . . . . 40--46 J. D. Fenton and R. S. Gardiner-Garden Rapidly-convergent methods for evaluating elliptic integrals and theta and elliptic functions . . . . . . . . . 47--58 P. C. Sinha and Meena Aggarwal Entry flow in a straight circular pipe 59--66 Roger C. McCann and E. R. Love Monotonicity properties of the zeros of Bessel functions . . . . . . . . . . . . 67--85 Graham Winley and Keith Tognetti Approximate solutions for coupled moment equations . . . . . . . . . . . . . . . 86--97 T. Bryant Moodie and R. J. Tait and D. W. Barclay Ray analysis and punching problems for stretched elastic plates . . . . . . . . 98--119 Anonymous ANZ volume 24 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 24 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
L. H. Liyanage and J. M. Hill and C. M. Gulati A note on the random walk model arising in double diffusion . . . . . . . . . . 121--129 Hang-Chin Lai and Shu-Shih Yang Saddle point and duality in the optimization theory of convex set functions . . . . . . . . . . . . . . . 130--137 D. M. O'Brien A trace formula for Schrödinger operators with step potentials . . . . . . . . . . 138--159 K. Gopalsamy Exchange of equilibria in two species Lotka--Volterra competition models . . . 160--170 A. A. Lacey Moving boundary problems in the flow of liquid through porous media . . . . . . 171--193 R. O. Ayeni On the explosion of chain-thermal reactions . . . . . . . . . . . . . . . 194--202 John E. Lavery Iterative solution of quasilinear parabolic equations by parabolic equations with constant coefficients . . 203--222 Avram Sidi Converging factors for some asymptotic moment series that arise in numerical quadrature . . . . . . . . . . . . . . . 223--233 Sudhangshu B. Karmakar Detection of Hamiltonian circuits in a directed graph . . . . . . . . . . . . . 234--242 Anonymous ANZ volume 24 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 24 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
M. D. Van Dyke and A. J. Guttmann Subsonic potential flow past a circle and the transonic controversy . . . . . 243--261 R. G. Keats and Winifred Frost and Annette Dobson The optimum processing of clipped signals: an approach based an a likelihood ratio statistic . . . . . . . 262--278 K. K. Tam and P. B. Chapman Thermal ignition in a reactive slab with unsymmetric boundary temperatures . . . 279--288 W. D. Wallis A tournament problem . . . . . . . . . . 289--291 R. D. Braddock and P. van den Driessche On a two lag differential delay equation 292--317 John A. Dutton and Peter E. Kloeden The existence of Hadley convective regimes of atmospheric motion . . . . . 318--338 D. R. K. Reddy and V. U. M. Rao Static plane-symmetric solution of a scalar-tensor theory of gravitation . . 339--342 H. P. W. Gottlieb The effect of an enclosed air cavity on a rectangular drum . . . . . . . . . . . 343--349 G. B. Davis and A. G. Morris Stability of plane Couette flow for high Reynolds number . . . . . . . . . . . . 350--357 Anonymous ANZ volume 24 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 24 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
G. J. Weir Insulating circular rugs . . . . . . . . 359--365 N. Anderson and A. M. Arthurs Pointwise bounds for a solution of a nonlinear boundary value problem in partial differential equations . . . . . 366--373 J. G. Burnell and A. A. Lacey and G. C. Wake Steady states of the reaction--diffusion equations. Part 1: Questions of existence and continuity of solution branches . . . . . . . . . . . . . . . . 374--391 J. G. Burnell and A. A. Lacey and G. C. Wake Steady states of the reaction--diffusion equations. Part II: Uniqueness of solutions and some special cases . . . . 392--416 Alexander I. Lee and James M. Hill On maximum principles for diffusion in the presence of three diffusion paths 417--423 E. H. Twizell and R. W. Ogden Non-linear optimization of the material constants in Ogden's stress-deformation function for incompressinle isotropic elastic materials . . . . . . . . . . . 424--434 H. P. W. Gottlieb Hearing the shape of an annular drum . . 435--438 P. Broadbridge Existence theorems for Segal quantization via spectral theory in Krein space . . . . . . . . . . . . . . 439--460 D. R. K. Reddy and V. U. M. Rao Field of a charged particle in the presence of scalar meson fields in general relativity . . . . . . . . . . . 461--465 H. Van Hoa Solution of general inhomogeneous linear difference equations . . . . . . . . . . 466--472 K. K. Tam The temporal evolution of a system in combustion theory . . . . . . . . . . . 473--483 Neville de Mestre and Trevor Pakes Some elementary exact channel flows . . 484--491 Anonymous Contents of Volume 24 . . . . . . . . . 492--493 Anonymous ANZ volume 24 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 24 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
P. J. Bryant Cyclic gravity waves in deep water . . . 2--15 D. H. Peregrine Water waves, nonlinear Schrödinger equations and their solutions . . . . . 16--43 R. J. Sobey and E. J. Colman Scattering analysis and synthesis of wave trains . . . . . . . . . . . . . . 44--63 F. Viera and V. T. Buchwald The generation of surface waves by an intense cyclone . . . . . . . . . . . . 64--83 John W. Miles Surface-wave interaction with a deeply submerged circular duct . . . . . . . . 84--93 N. T. Hung and S. A. Maslowe Interaction of internal waves in a continuous thermocline model . . . . . . 94--109 Roger L. Hughes The anti-cyclonic shear wave: a new geophysical wave . . . . . . . . . . . . 110--126 C. B. Fandry and R. L. Hughes and L. M. Leslie Stationary waves forced by topography in a vertically sheared, stratified, rotating fulid . . . . . . . . . . . . . 127--144 Anonymous ANZ volume 25 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 25 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
W. W. Wood Energy intensity of inertial waves in a sphere . . . . . . . . . . . . . . . . . 145--160 B. H. J. McKellar and M. A. Box and E. R. Love Inversion of the Struve transform of half integer order . . . . . . . . . . . 161--174 R. B. Leipnik On Charwat's theory of motion of tracers in planar vortex flows . . . . . . . . . 175--189 J. M. Barry and J. H. Jenkinson and J. P. Pollard A discrete Fourier analysis of coarse mesh rebalancing and some associated iterative methods . . . . . . . . . . . 190--216 J. F. Harper Axisymmertic Stokes flow images in spherical free surfaces with applications to rising bubbles . . . . . 217--231 W. Sarlet Symmetries and the inverse problem of Lagrangian dynamics for linear systems 232--243 A. R. Bestman Low Reynolds number flow in a heated tube of varying section . . . . . . . . 244--260 David Elliott A Galerkin--Petrov method for singular integral equations . . . . . . . . . . . 261--275 J. R. Gupta and S. K. Sood and R. G. Shandil and M. B. Banerjee and K. Banerjee Bounds for the growth of a perturbation in some double-diffusive convection problems . . . . . . . . . . . . . . . . 276--285 Anonymous ANZ volume 25 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 25 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
N. G. Barton An asymptotic theory for dispersion of reactive contaminants in parallel flow 287--310 R. S. Johnson The propagation of small amplitude long waves on the surface of superfluid helium . . . . . . . . . . . . . . . . . 311--348 K. Gopalsamy Harmless delays in a periodic ecosystem 349--365 P. F. Rhodes-Robinson On the generation of water waves at an inertial surface . . . . . . . . . . . . 366--383 R. R. Huilgol and R. Janus and M. A. Lohe and T. W. Sag On the application of a numerical algorithm for Hopf bifuraction to the hunting of a wheelset . . . . . . . . . 384--405 N. Riahi On nonlinear overstable convection rolls in a rotating system . . . . . . . . . . 406--418 B. D. Craven and B. Mond and J. Parida On a complementarity problem associated with nondifferentiable programming . . . 419--430 Anonymous ANZ volume 25 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 25 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
R. S. Anderssen and D. R. Jackett Linear functionals of foliage angle density . . . . . . . . . . . . . . . . 431--442 E. O. Tuck and J.-M. Vanden Broeck A cusp-like free-surface flow due to a submerged source or sink . . . . . . . . 443--450 A. Brown solutions of period three for a non-linear difference equation . . . . . 451--462 Peter L. Chesson Infinitely divisible random transition probabilities with application to dependent Markov chains . . . . . . . . 463--472 K. Gopalsamy Delayed responses and stability in two-species systems . . . . . . . . . . 473--500 M. Rezayat and F. J. Rizzo and D. J. Shippy A unified boundary integral equation method for a class of second order elliptic boundary value problems . . . . 501--517 K. H. Wong and K. L. Teo A conditional gradient method for a class of time-lag optimal control problems . . . . . . . . . . . . . . . . 518--537 L. Bass and A. J. Bracken and R. Vyborny Minimisation problems for implicit functionals defined by differential equations of liver kinetics . . . . . . 538--562 Anonymous Contents of Volume 25 . . . . . . . . . 563--564 Anonymous ANZ volume 25 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 25 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1
G. A. Chandler Galerkin's method for boundary integral equations on polygonal domains . . . . . 1--13 M. R. Davidson An integral equation for immiscible fluid displacement in a two-dimensional porous medium or Hele--Shaw cell . . . . 14--30 P. Cerone and J. R. Blake A note on the instantaneous streamlines, pathlines and pressure contours for a cavitation bubble near a boundary . . . 31--44 K. Kibalczyc and S. Walczak Necessary optimality conditions for a problem with costs of rapid variation of control . . . . . . . . . . . . . . . . 45--55 F. C. Gair On the design of mortgages and the need for indexation . . . . . . . . . . . . . 56--76 D. Bucco and J. Mazumdar Buckling analysis of plates of arbitrary shape . . . . . . . . . . . . . . . . . 77--91 K.-D. Werner An observation problem for the Bessel differential operator . . . . . . . . . 92--107 V. T. Buchwald and T. Tran Cong The diffraction of long elastic waves by elliptic cylindrical cavities . . . . . 108--118 Anonymous ANZ volume 26 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 26 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Peter J. Forrester An exactly solvable two component classical Coulomb system . . . . . . . . 119--128 Nikola B. Nedeljkovi\'c New algorithms for discrete-time optimal control problems . . . . . . . . . . . . 129--145 A. Brown Solutions of period four for a non-linear difference equation . . . . . 146--164 James M. Hill and Jeffrey N. Dewynne Improved lower bounds for the motion of moving boundaries . . . . . . . . . . . 165--175 M. I. Qureshi and M. A. Pathan A note on hypergeometric polynomials . . 176--182 P. W. Sharp Unsteady waves on an open two layer fluid . . . . . . . . . . . . . . . . . 183--199 J. E. Woods Notes on Sraffa's fixed capital model 200--232 Wolfgang Dahmen and Charles A. Micchelli On the approximation order from certain multivariate spline spaces . . . . . . . 233--246 Anonymous ANZ volume 26 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 26 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Frank De Hoog and David Jackett On the rate of convergence of finite difference schemes on nonuniform grids 247--256 M. D. Gould Characteristic identities for semi-simple Lie algebras . . . . . . . . 257--283 J. H. Chou and Wei-Shen Hsia and Tan-Yu Lee Second order optimality conditions for mathematical programming with set functions . . . . . . . . . . . . . . . 284--292 H. P. W. Gottlieb Eigenvalues of the Laplacian with Neumann boundary conditions . . . . . . 293--309 John W. Hooker and William T. Patula Growth and oscillation properties of solutions of a fourth order linear difference equation . . . . . . . . . . 310--328 C. M. Chen and V. Thomée The lumped mass finite element method for a parabolic problem . . . . . . . . 329--354 R. B. Leipnik A canonical form and solution for the matrix Riccati differential equation . . 355--361 B. D. Craven Generalized functions for applications 362--374 M. M. Chawla and S. R. Sharma Families of three-stage third order Runge--Kutta--Nyström methods for $ y'' = f(x, y, y') $ . . . . . . . . . . . . . 375--386 Anonymous ANZ volume 26 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 26 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
S. J. Wright and J. N. Holt An inexact Levenberg--Marquardt method for large sparse nonlinear least squares 387--403 N. G. Barton End effects in a two dimensional potential problem for closely spaced rectangular plates . . . . . . . . . . . 404--414 D. L. Clements and M. Haselgrove and D. M. Barnett A note on the boundary integral equation method for the solutions of second order elliptic equations . . . . . . . . . . . 415--421 S. Chandra and B. D. Craven and B. Mond Nonlinear programming duality and matrix game equivalence . . . . . . . . . . . . 422--429 A. Brown A nonlinear difference equation with two parameters . . . . . . . . . . . . . . . 430--451 M. R. Davidson Numerical calculation of unstable immiscible fluid displacement in a two-dimensional porous medium or Hele--Shaw cell . . . . . . . . . . . . 452--469 G. C. Hocking Cusp-like free-surface flows due to a submerged source or sink in the presence of a flat or sloping bottom . . . . . . 470--486 G. Keady Asymptotic estimates for symmetric vortex streets . . . . . . . . . . . . . 487--502 A. McNabb An uncoupling procedure for a class of coupled linear partial differential equations . . . . . . . . . . . . . . . 503--516 C. H. Scott and T. R. Jefferson and E. Sirri On duality for convex minimization with nested maxima . . . . . . . . . . . . . 517--522 Anonymous Contents of Volume 26 . . . . . . . . . 523--524 Anonymous ANZ volume 26 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 26 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
D. M. O'Brien and R. S. Smith Transient electromagnetic response of a layered conducting medium at asymptotically late times . . . . . . . 1--30 B. Duszczyk and S. Kosinski and Z. Wesolowski Reflection of oblique shock waves in incompressible elastic solids . . . . . 31--47 A. J. Roberts Simple examples of the derivation of amplitude equations for systems of equations possessing bifurcations . . . 48--65 K. Gopalsamy Global asymptotic stability in a periodic Lotka--Volterra system . . . . 66--72 James M. Hill and Barry D. Hughes On the general random walk formulation for diffusion in media with diffusivities . . . . . . . . . . . . . 73--87 J. G. Burnell and A. A. Lacey and G. C. Wake Steady states of the reaction--diffusion equations. Part III: Questions of multiplicity and uniqueness of solutions 88--110 Even Mehlum and Jet Wimp Spherical curves and quadratic relationships for special functions . . 111--124 A. P. Bakulev and N. N. Bogolubov and A. M. Kurbatov The generalized Mayer theorem in the approximating Hamiltonian method . . . . 125--130 Anonymous ANZ volume 27 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 27 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
J. M. Murray Simple nonlinear dual control problems 131--144 A. Brown A non-linear difference equation with two parameters. II . . . . . . . . . . . 145--166 John Locker and P. M. Prenter Splitting least squares and collocation procedures for two-point boundary value problems . . . . . . . . . . . . . . . . 167--193 B. D. O. Anderson and W. A. Coppel and D. J. Cullen Strong system equivalence (I) . . . . . 194--222 W. A. Coppel and D. J. Cullen Strong system equivalence (II) . . . . . 223--237 M. S. Mishra and S. Nanda and D. Acharya Strong pseudo-convexity and symmetric duality in nonlinear programming . . . . 238--244 I. F. Grant and B. H. J. McKellar Critical point behaviour of the diffusion length for radiative transfer 245--257 Anonymous ANZ volume 27 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 27 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
J. J. Mahony and J. Norbury Asymptotic location of nodal lines using geodesic theory . . . . . . . . . . . . 259--280 G. J. Weir Surface mounted heat flux sensors . . . 281--294 G. R. Fulford and J. R. Blake Force distribution along a slender body straddling an interface . . . . . . . . 295--315 J. P. Louis and D. J. Clarke Exact edge wave solutions for some generalised exponential shelf topographies . . . . . . . . . . . . . . 316--326 I. H. Grundy Airfoils moving in air close to a dynamic water surface . . . . . . . . . 327--345 K. Gopalsamy Global asymptotic stability in an almost-periodic Lotka--Volterra system 346--360 A. M. Fink Optimal control in liver kinetics . . . 361--369 John Lekner Parseval's integral and the Jacobi expansions in series of Bessel functions 370--375 Ch. Wali Mohd and M. I. Qureshi Expansion formulae for general triple hypergeometric series . . . . . . . . . 376--385 Anonymous ANZ volume 27 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 27 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
John Boris Miller The foliage density equation revisited 387--401 A. L. Carey and D. M. O'Brien Existence and regularity results for Maxwell's equations in the quasi-static limit . . . . . . . . . . . . . . . . . 402--415 K. K. Tam Criticality dependence on data and parameters for a problem in combustion theory . . . . . . . . . . . . . . . . . 416--441 M. A. D. Madurasinghe and E. O. Tuck Ship bows with continuous and splashless flow attachment . . . . . . . . . . . . 442--452 K.-D. Werner Boundary value control problems involving the Bessel differential operator . . . . . . . . . . . . . . . . 453--472 J. E. Woods On the dynamic analysis of a Leontief model with fixed capital . . . . . . . . 473--487 Renfrey B. Potts Ordinary and partial difference equations . . . . . . . . . . . . . . . 488--501 G. Ladas and Y. G. Sficas Oscillations of higher-order neutral equations . . . . . . . . . . . . . . . 502--511 Anonymous Contents of Volume 27 . . . . . . . . . 512--513 Anonymous ANZ volume 27 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 27 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
A. Ben-Israel and B. Mond What is invexity? . . . . . . . . . . . 1--9 R. R. Egudo and B. Mond Duality with generalized convexity . . . 10--21 Jonathan M. Borwein Generic differentiability of order-bounded convex operators . . . . . 22--29 B. D. Craven A note on nondifferentiable symmetric duality . . . . . . . . . . . . . . . . 30--35 J. Guddat and H. Th. Jongen and J. Rueckmann On stability and stationary points in nonlinear optimization . . . . . . . . . 36--56 M. R. Osborne and S. A. Pruess and R. S. Womersley Concise representation of generalised gradients . . . . . . . . . . . . . . . 57--74 Anderas Griewank The `global' convergence of Broyden-like methods with suitable line search . . . 75--92 K. L. Teo and K. H. Wong and Z. S. Wu An optimal control problem involving a class of linear time-lag systems . . . . 93--113 A. R. Davies and R. S. Anderssen Optimisation in the regularisation ill-posed problems . . . . . . . . . . . 114--133 R. J. Duffin and D. F. Karney and E. Z. Prisman Apex duality for constrained optimization . . . . . . . . . . . . . . 134--146 Anonymous ANZ volume 28 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 28 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
J. M. Skowronski Nonlinear model reference adaptive control . . . . . . . . . . . . . . . . 147--157 Sven-Åke Gustafson Investigating semi-infinite programs using penalty functions and Lagrangian methods . . . . . . . . . . . . . . . . 158--169 S. Chandra and B. D. Craven and B. Mond Generalized fractional programming durability: a ratio game approach . . . 170--180 David Mustard Green manure and nitrogenous fertilizer --- a two-sector optimal-growth model 181--201 Carlos Alvarez and Alan C. Lazer An application of topological degree to the periodic competing species problem 202--219 A. Brown Ziebur's matrix equation for population growth . . . . . . . . . . . . . . . . . 220--228 A. I. Zahariev and D. D. Bainov On some oscillation criteria for a class of neutral type functional differential equations . . . . . . . . . . . . . . . 229--239 M. A. Pathan and Yasmeen On partly bilateral and partly unilateral generating functions . . . . 240--245 Neville de Mestre The long jump record revisited . . . . . 246--259 I. L. Collings Two infinite-Froude-number cusped free-surface flows due to a submerged line source or sink . . . . . . . . . . 260--270 B. N. Mandal and Krishna Kundu A note on the singularities in the theory of water waves with an inertial surface . . . . . . . . . . . . . . . . 271--278 Anonymous ANZ volume 28 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 28 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
C. J. Coleman A hybrid boundary integral/Taylor series approach to some nonlinear equations from fluid mechanics . . . . . . . . . . 279--286 K. K. Tam Initiation of thermal explosion by intense light: criticality dependence on data and parameters . . . . . . . . . . 287--295 V. I. Fabrikant Closed form solution to some mixed boundary value problems for a charged sphere . . . . . . . . . . . . . . . . . 296--309 M. D. Gould Polynomial identities for simple Lie superalgebras . . . . . . . . . . . . . 310--327 Sudhangshu B. Karmakar A heuristic method for the determination of a Hamiltonian circuit in a graph . . 328--339 A. Brown Critical values for a nonlinear difference equation . . . . . . . . . . 340--361 M. R. S. Kulenovi\'c and G. Ladas and A. Meimaridou Necessary and sufficient condition for oscillations of neutral differential equations . . . . . . . . . . . . . . . 362--375 Joanna Matula On an extremum problem . . . . . . . . . 376--392 K. L. Teo and G. Jepps and E. J. Moore and S. Hayes A computational method for free time optimal control problems, with application to maximizing the range of an aircraft-like projectile . . . . . . 393--413 Anonymous ANZ volume 28 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 28 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Frank de Hoog and Ian H. Sloan The finite-section approximation for integral equations on the half-line . . 415--434 Mario Ahues A class of strongly stable operator approximations . . . . . . . . . . . . . 435--442 Michael Green and Brian D. O. Anderson On the continuity of the Wiener--Hopf factorization operation . . . . . . . . 443--461 Murray T. Batchelor Sparse matrix factorizations of transfer matrices . . . . . . . . . . . . . . . . 462--475 P. E. Kloeden On the uniqueness of solitary Rossby waves . . . . . . . . . . . . . . . . . 476--485 Gerhard Dangelmayr Degenerate bifurcations near a double eigenvalue in the Brusselator . . . . . 486--535 Anonymous Contents of Volume 28 . . . . . . . . . 536--537 Anonymous ANZ volume 28 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 28 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
A. Ankiewicz and C. Pask Chaos in optics: field fluctuations for a nonlinear optical fibre loop closed by a coupler . . . . . . . . . . . . . . . 1--20 Lawrence K. Forbes Periodic solutions of high accuracy to the forced Duffing equation: Perturbation series in the forcing amplitude . . . . . . . . . . . . . . . 21--38 M. R. Osborne Dual barrier functions with superfast rates of convergence for the linear programming problem . . . . . . . . . . 39--58 J. E. Woods On the analysis of joint production . . 59--78 E. M. E. Zayed Eigenvalues of the Laplacian for the third boundary value problem . . . . . . 79--87 S. S. Chow and G. F. Carey Finite element error estimates for subsonic flow . . . . . . . . . . . . . 88--102 T. R. Marchant and A. J. Roberts Properties of short-crested waves in water of finite depth . . . . . . . . . 103--125 Anonymous ANZ volume 29 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 29 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
W. D. McKee and F. Tesoriero Reflection from a water waves from a vertical vortex sheet in water of finite depth . . . . . . . . . . . . . . . . . 127--141 E. O. Tuck Thin airfoils with small trailing-edge flaps at arbitrary angles . . . . . . . 142--155 L. Bass and A. J. Bracken and K. Holmåker and B. R. F. Jefferies Integro-differential equations for the self-organisation of liver zones by competitive exclusion of cell-types . . 156--194 Philip Rabinowitz and William E. Smith Interpolatory product integration for Riemann-integrable functions . . . . . . 195--202 John F. Ahner and John S. Lowndes The solution of some integral equations 203--215 J. L. Lavoie Notes on a paper by J. B. Miller . . . . 216--220 R. Kleeman Observables in modular field theory . . 221--248 K. Balachandran and D. Somasundaram Existence of optimal control for nonlinear systems with quadratic performance . . . . . . . . . . . . . . 249--255 Anonymous ANZ volume 29 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 29 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
M. Rumsewicz and P. Taylor A spot welding reliability problem . . . 257--265 Ross G. Drynan Determining statistical dominance by linear programming . . . . . . . . . . . 266--269 H. P. W. Gottlieb Eigenvalues of the Laplacian for rectilinear regions . . . . . . . . . . 270--281 P. M. van Loon and R. M. M. Mattheij Stable continuous orthonormalisation techniques for linear boundary value problems . . . . . . . . . . . . . . . . 282--295 Lakshmisree Bandopadhyaya and M. C. Puri Impaired flow multi-index transportation problem with axial constraints . . . . . 296--309 Youji Nagahisa Necessary conditions for a mathematical programming problem with set and cone constraints . . . . . . . . . . . . . . 310--321 M. R. Osborne and Tania Prvan On algorithms for generalised smoothing splines . . . . . . . . . . . . . . . . 322--341 V. I. Fabrikant Potential of several arbitrarily located disks . . . . . . . . . . . . . . . . . 342--351 Noel Smyth Mean flow induced by the viscous critical layer in a stratified fluid . . 352--373 Anonymous ANZ volume 29 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 29 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Leonard W. Sahwartiz and Anthony J. Degregoria Two-phase flow in Hele--Shaw cells: numerical studies of sweep efficiency in a five-spot pattern . . . . . . . . . . 375--400 G. C. Hocking Infinite Froude number solutions to the problem of a submerged source or sink 401--409 R. Grimshaw The modulation of short gravity waves by long waves or currents . . . . . . . . . 410--429 A. D. D. Craik Interaction of a short-wave field with a dominant long wave in deep water: derivation form Zakharov's spectral formulation . . . . . . . . . . . . . . 430--439 John R. Cannon and George H. Knightly Some remarks on a quasi-steady-state approximation of the Navier--Stokes equation . . . . . . . . . . . . . . . . 440--447 Rodney F. Davidson Waves below first cutoff in a duct . . . 448--460 K.-D. Werner Boundary value controllability and observability problems for the wave and heat equation . . . . . . . . . . . . . 461--479 A. J. Roberts The application of centre-manifold theory to the evolution of system which vary slowly in space . . . . . . . . . . 480--500 Anonymous Contents of Volume 29 . . . . . . . . . 501--502 Anonymous ANZ volume 29 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 29 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
G. K. Robinson A method of accelerating stationary iterative methods for solving linear systems . . . . . . . . . . . . . . . . 1--23 M. A. Lukas Assessing regularised solutions . . . . 24--42 M. R. Osborne and Tania Prvan Smoothness and conditioning in generalised smoothing spline calculations . . . . . . . . . . . . . . 43--56 Tania Prvan and M. R. Osborne A square-root fixed-interval discrete-time smoother . . . . . . . . . 57--68 Chen Zhaolin and Hong Huimin and Zhang Jifeng Controllability of generalised dynamical systems with constrained control . . . . 69--78 John Rickard and Neville Hathaway A flexible strategy for warring duopolists . . . . . . . . . . . . . . . 79--88 K. K. Tam Travelling wave solutions for rich flames of reactive suspensions . . . . . 89--100 A. J. Bracken and H. S. Green and L. Bass Groups defined on images in fluid diffusion . . . . . . . . . . . . . . . 101--119 L. K. Patel and R. P. Akabari and U. K. Dave Radiating Demianski-type metrics and the Einstein--Maxwell fields . . . . . . . . 120--126 Anonymous ANZ volume 30 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 30 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
J. R. Blake The Kelvin impulse: application to cavitation bubble dynamics . . . . . . . 127--146 A. C. King and M. I. G. Bloor A note on the free surface induced by a submerged source at infinite Froude number . . . . . . . . . . . . . . . . . 147--156 B. J. Kachoyan and P. J. Blennerhassett On the finite Dean problem: linear theory . . . . . . . . . . . . . . . . . 157--178 A. R. Bestman Unsteady low Reynolds number flow in a heated tube of slowly varying section 179--202 Maithili Sharan and M. P. Singh and Balbir Singh A mathematical model for the process of gas exchange in lung capillaries using $n$ th order one-step kinetics of oxygen uptake by haemoglobin . . . . . . . . . 203--213 P. Breen and W. Henderson Dominated strategies in searching for evolutionary stable strategies . . . . . 214--219 E. M. E. Zayed Some asymptotic spectral formulae for the eigenvalues of the Laplacian . . . . 220--229 Wen-Wei Lin and Gerhard Lutzer An application of the homotopy method to the generalised symmetric eigenvalue problem . . . . . . . . . . . . . . . . 230--249 Anonymous ANZ volume 30 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 30 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
K. A. Landman A boundary integral method for contaminant transport in two adjacent porous media . . . . . . . . . . . . . . 251--267 Phil Diamond Stochastic models for interference between searching insect parasites . . . 268--277 A. J. Bracken and K. Holmåker and L. V. Maloney and L. Bass Flux ratios for biological membranes and reciprocity theorems for linear operators . . . . . . . . . . . . . . . 278--297 Charles. N. Friedman Some remarks on Pauli data in quantum mechanics . . . . . . . . . . . . . . . 298--303 D. K. Kulshrestha Duality between distant point and median of a tree network space . . . . . . . . 304--312 W. L. Chan and Yu-Kun Zheng Exact solutions of nonlinear evolution equations of the AKNS class . . . . . . 313--325 M. Van Rooyen and M. Sears and S. Zlobec Constraint qualifications in input optimisation . . . . . . . . . . . . . . 326--342 B. D. Craven Boundary conditions optimal control . . 343--349 K. L. Teo and C. J. Goh A computational method for combined optimal parameter selection and optimal control problems with general constraints . . . . . . . . . . . . . . 350--364 Anonymous ANZ volume 30 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 30 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
E. O. Tuck The wave resistance formula of J. H. Michell (1898) and Its significance to recent research in ship hydrodynamics 365--377 R. Grimshaw An analysis of the impact of T. M. Cherry's work on asymptotic expansions 378--388 D. G. Hurley Mathematical research at the Aeronautical Research Laboratories 1939--1960 . . . . . . . . . . . . . . . 389--413 G. F. Fitz-Gerald and N. A. McDonald An asymptotic solution of an integro-differential equation arising in magnetic coupling through thin shield walls . . . . . . . . . . . . . . . . . 414--423 A. J. Hall and G. C. Wake A functional differential equation arising in modelling of cell growth . . 424--435 D. J. Ivers On generalised toroidal-poloidal solutions of vector field equations . . 436--449 E. Flytzanis and Nikolaos S. Papageorgiou On the existence and sensitivity analysis of optimal capital accumulation paths in continuous time, infinite horizon models . . . . . . . . . . . . . 450--459 Alan L. Andrew Correction of finite difference eigenvalues of periodic Sturm--Liouville problems . . . . . . . . . . . . . . . . 460--469 J. M. Murray Optimal control problems with elastic collisions . . . . . . . . . . . . . . . 470--482 James M. Hill and Alex McNabb On the problem of uncoupling systems of linear differential equations . . . . . 483--501 Anonymous Contents of Volume 30 . . . . . . . . . 502--504 Anonymous ANZ volume 30 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 30 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
H. H. Tan and R. B. Potts A discrete path/trajectory planner for robotic arms . . . . . . . . . . . . . . 1--28 S. Kosinski and B. Duszczyk Normal shock reflection-transmission in rubber-like elastic material . . . . . . 29--47 A. J. Roberts Appropriate initial conditions for asymptotic descriptions of the long term evolution of dynamical systems . . . . . 48--75 K. K. Tam Criticality dependence on data and parameters for a problem in combustion theory, with temperature-dependent conductivity . . . . . . . . . . . . . . 76--80 J. N. Dewynne and S. D. Howison and J. R. Ockendon and Weiqing Xie Asymptotic behavior of solutions to the Stefan problem with a kinetic condition at the free boundary . . . . . . . . . . 81--96 Min Sun An evolutionary monotone follower problem in $ [0, 1] $ . . . . . . . . . 97--107 B. Mond and I. Husain Sufficient optimality criteria and duality for variational problems with generalised invexity . . . . . . . . . . 108--121 Ian D. Coope A conjugate direction implementation of the BFGS algorithm with automatic scaling . . . . . . . . . . . . . . . . 122--134 Anonymous ANZ volume 31 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 31 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Andrew Coyle Sensitivity bounds on a GI/M/n/n queueing system . . . . . . . . . . . . 135--149 Suzanne P. Evans A mathematical model and related problems of optimal management and design in a broadband integrated services network . . . . . . . . . . . . 150--175 W. Henderson and D. Lucic and P. G. Taylor A net level performance analysis of stochastic Petri nets . . . . . . . . . 176--187 Andrzej Jajszczyk On nonblocking multiconnection networks composed of digital switching matrices 188--203 F. P. Kelly Fixed point models of loss networks . . 204--218 Moshe Zukerman Applications of matrix-geometric solutions for queueing performance evaluation of a hybrid switching system 219--239 Anonymous ANZ volume 31 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 31 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Nico M. Van Dijk Analytic error bounds for approximations of queueing networks with an application to alternate routing . . . . . . . . . . 241--258 Philip Korman and Anthony W. Leung and Srdjan Stojanovic Monotone iterations for nonlinear obstacle problem . . . . . . . . . . . . 259--276 A. L. Carey and K. McNamara Degenerate forms of Maxwell's equations 277--300 J. P. Denier and R. Grimshaw Slowly-varying bifurcation theory in dissipative systems . . . . . . . . . . 301--318 Sunil Kumar The numerical solution of Hammerstein equations by a method based on polynomial collocation . . . . . . . . . 319--329 Rasajit Kumar Bera Nonlinear oscillations and buckling of anisotropic cylindrical shells under large initial stresses . . . . . . . . . 330--346 Joseph W.-H. So Persistence and extinction in a predator--prey model consisting of nine prey genotypes . . . . . . . . . . . . . 347--365 Anonymous ANZ volume 31 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 31 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
M. R. Osborne An interior point method for linear programming . . . . . . . . . . . . . . 367--378 M. R. Osborne and R. S. Womersley Strong uniqueness in sequential linear programming . . . . . . . . . . . . . . 379--384 N. F. Smyth Propagation of flame fronts . . . . . . 385--396 J. P. Denier and R. H. J. Grimshaw Nonlinear interaction of positive and negative energy modes in Hamiltonian systems . . . . . . . . . . . . . . . . 397--424 John W. Schutz The isotropy mappings of Minkowski space--time generate the orthochronous Poincaré group . . . . . . . . . . . . . 425--433 A. J. Hall and G. C. Wake Functional differential equations determining steady size distributions for populations of cells growing exponentially . . . . . . . . . . . . . 434--453 Phil Howlett An optimal strategy for the control of a train . . . . . . . . . . . . . . . . . 454--471 E. M. E. Zayed On hearing the shape of an arbitrary doubly-connected region in $ R^2 $ . . . 472--483 Shri Ram Yadav and R. N. Mukherjee Duality for fractional minimax programming problems . . . . . . . . . . 484--492 Anonymous Contents of Volume 31 . . . . . . . . . 493--494 Anonymous ANZ volume 31 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 31 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Peter J. Bryant and John W. Miles On a periodically forced, weakly damped pendulum. Part 1: Applied torque . . . . 1--22 Peter J. Bryant and John W. Miles On a periodically forced, weakly damped pendulum. Part 2: Horizontal forcing . . 23--41 Peter J. Bryant and John W. Miles On a periodically forced, weakly damped pendulum. Part 3: Vertical forcing . . . 42--60 T. R. Marchant and A. J. Roberts Reflection of nonlinear deep-water waves incident onto a wedge of arbitrary angle 61--96 Giorgio Giorgi A note on the relationships between convexity and invexity . . . . . . . . . 97--99 M. E. Fisher and J. L. Noakes and K. L. Teo A minimum trapping time problem in optimal control theory . . . . . . . . . 100--114 Rekha P. Kulkarni and Balmohan V. Limaye Solution of a Schrödinger equation by iterative refinement . . . . . . . . . . 115--131 Anonymous ANZ volume 32 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 32 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
P. K. Pollett On a model for interference between searching insect parasites . . . . . . . 133--150 K. L. Teo and K. K. Leong and G. J. Goh Nonlinearly constrained optimal control problems involving piecewise smooth controls . . . . . . . . . . . . . . . . 151--179 Lu Wudu Existence of nonoscillatory solutions of first order nonlinear neutral equations 180--192 P. B. Chapman A uniform description of an oscillator's resonant transition . . . . . . . . . . 193--206 R. B. Leipnik Reduction of second order linear dynamical systems, with large dissipation, by state variable transformations . . . . . . . . . . . . 207--222 Nassar H. S. Haidar On eigensolutions of the one-speed neutron transport equation in plane geometry . . . . . . . . . . . . . . . . 223--230 Lawrence K. Forbes and Graeme C. Hocking Flow caused by a point sink in a fluid having a free surface . . . . . . . . . 231--249 Anonymous ANZ volume 32 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 32 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
G. C. Hocking and L. K. Forbes A note on the flow induced by a line sink beneath a free surface . . . . . . 251--260 S. K. Lucas and J. R. Blake and A. Kucera A boundary-integral method applied to water coning in oil reservoirs . . . . . 261--283 W. T. Ang A pair of arbitrarily-oriented coplanar cracks in an anisotropic elastic slab 284--295 B. N. Mandal On waves due to small oscillations of a vertical plate submerged in deep water 296--303 Anthony D. Klemm and Sigurd Y. Larsen Some integrals involving Legendre polynomials providing combinatorial identities . . . . . . . . . . . . . . . 304--310 Y. Kuang On neutral-delay two-species Lotka--Volterra competitive systems . . 311--326 Roy B. Leipnik On lognormal random variables: I --- the characteristic function . . . . . . . . 327--347 T. C. Brown and P. K. Pollett Poisson approximations for telecommunications networks . . . . . . 348--364 Anonymous ANZ volume 32 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 32 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
R. B. Potts and X. Yu Discrete variable structure system with pseudo-sliding mode . . . . . . . . . . 365--376 K. Gopalsamy and G. Ladas Oscillations of delay differential equations . . . . . . . . . . . . . . . 377--381 L. H. Erbe and H. I. Freedman and X. Z. Liu and J. H. Wu Comparison principles for impulsive parabolic equations with applications to models of single species growth . . . . 382--400 S. M. Cox and A. J. Roberts Centre manifolds of forced dynamical systems . . . . . . . . . . . . . . . . 401--436 D. C. Dzeng and W. W. Lin Homotopy continuation method for the numerical solutions of generalised symmetric eigenvalue problems . . . . . 437--456 O. P. Bhutani and K. Vijayakumar On certain new and exact solutions of the Emden--Fowler equation and Emden equation via invariant variational principles and group invariance . . . . 457--468 D. Bucco and J. Mazumdar Analysis of shallow shells by a combination of finite elements and contour methods . . . . . . . . . . . . 469--491 Anonymous ANZ volume 32 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 32 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
C. J. Coleman On the microwave hotspot problem . . . . 1--8 Joseph Wai Hung So Inertial manifold for a reaction diffusion equation model of competition in a chemostat . . . . . . . . . . . . . 9--15 K. K. Tam Porous medium combustion: ignition, temporal evolution, and parameter dependence . . . . . . . . . . . . . . . 16--26 S. Tang and R. O. Weber Numerical study of Fisher's equation by a Petrov--Galerkin finite element method 27--38 I. G. Graham and Y. Yan Piecewise-constant collocation for first-kind boundary integral equations 39--64 Neville de Mestre A mathematical analysis of wind effects on a long-jumper . . . . . . . . . . . . 65--76 L. K. Patel and Sharda S. Koppar Some Bianchi type VI$_0$ viscous fluid cosmological models . . . . . . . . . . 77--84 Lynn H. Erbe and Zhongchao Liang Continuation and uniqueness for generalised Emden--Fowler systems . . . 85--93 Rodolfo Salvi The equations of viscous incompressible non-homogeneous fluids: on the existence and regularity . . . . . . . . . . . . . 94--110 N. K. Ghosh A cylindrical wave-maker problem in a liquid of finite depth with an inertial surface in the presence of surface tension . . . . . . . . . . . . . . . . 111--121 Anonymous ANZ volume 33 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 33 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Sidney A. Morris and Peter J. Nyikos Sudden cardiac arrest and a problem in topology . . . . . . . . . . . . . . . . 123--132 Xiangjian He Hopf bifurcation at infinity with discontinuous nonlinearities . . . . . . 133--148 J. R. Cannon and Yanping Lin and Shingmin Wang Determination of a control parameter in a parabolic partial differential equation . . . . . . . . . . . . . . . . 149--163 Shige Peng and Jiongmin Yong Determination of a controllable set for a controlled dynamic system . . . . . . 164--179 David Mustard Uncertainty principles invariant under the fractional Fourier transform . . . . 180--191 N. M. Spencer and V. V. Anh Spectral factorisation and prediction of multivariate processes with time-dependent rational spectral density matrices . . . . . . . . . . . . . . . . 192--210 J. Mazumdar and R. N. Dubey A method for the study of fully developed parallel flow in straight ducts of arbitrary cross section . . . . 211--239 David L. Clements and Ashley Larsson Ground motion on alluvial valleys under incident plane SH waves . . . . . . . . 240--253 Anonymous ANZ volume 33 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 33 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
C. Atkinson and C. R. Champion Some boundary-value problems for nonlinear $ (N) $ diffusion and pseudo-plastic flow . . . . . . . . . . 255--268 N. G. Barton and C.-H. Li and S. J. Spencer Control of a surface of discontinuity in continuous thickness . . . . . . . . . . 269--289 James M. Hill and Adrian H. Pincombe Some similarity temperature profiles for the microwave heating of a half-space 290--320 J. R. King Local transformations between some nonlinear diffusion equations . . . . . 321--349 A. A. Lacey and G. C. Wake Critical initial conditions for spatially-distributed thermal explosions 350--362 J. R. Philip Exact solutions for redistribution by nonlinear convection--diffusion . . . . 363--383 G. C. Sander Exact solutions to nonlinear diffusion-convection problems on finite domains . . . . . . . . . . . . . . . . 384--401 Anonymous ANZ volume 33 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 33 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
N. F. Smyth The effect of conductivity on hotspots 403--413 R. E. Grundy The asymptotics of extinction in nonlinear diffusion reaction equations 414--429 P. Broadbridge and P. J. Banksa Exact nonlinear solution for constant-rate expression from material of finite thickness . . . . . . . . . . 430--450 P. J. Wicks Interaction of buoyant plumes in open-channel flow . . . . . . . . . . . 451--473 R. K. Bera and A. Chakrabarti Cooling of an infinite slab in a two-fluid medium . . . . . . . . . . . . 474--485 Gerard Thompson Normal forms for elements of $ o(p, q) $ and Hamiltonians with integrals linear in momenta . . . . . . . . . . . . . . . 486--507 Yongshao Chen The existence of periodic solutions for a class of neutral differential difference equations . . . . . . . . . . 508--516 K. L. Teo and K. H. Wong Nonlinearly constrained optimal control problems . . . . . . . . . . . . . . . . 517--530 R. R. Egudo and T. Weir and B. Mond Duality without constraint qualification for multiobjective programming . . . . . 531--544 Anonymous Contents of Volume 33 . . . . . . . . . 545--546 Anonymous ANZ volume 33 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 33 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Xinghuo Yu and Renfrey B. Potts Computer-controlled variable-structure systems . . . . . . . . . . . . . . . . 1--17 K. Balachandran Controllability of neutral Volterra integrodifferential systems . . . . . . 18--25 Xiaodong Lin On the global stability of a delay epidemic model . . . . . . . . . . . . . 26--34 P. H. Halpern and R. N. Mohapatra and P. J. O'Hara and R. S. Rodriguez An extremal problem concerning finite dimensional subspaces of $ C[a, b] $ pertinent in signal theory . . . . . . . 35--42 V. Jeyakumar and B. Mond On generalised convex mathematical programming . . . . . . . . . . . . . . 43--53 A. J. Roberts Boundary conditions for approximate differential equations . . . . . . . . . 54--80 P. B. Chapman The transition through resonance of a nonlinear non-autonomous system . . . . 81--111 Gerhard Jank Asymptotic distribution of singularities of solutions of matrix-Riccati differential equations . . . . . . . . . 112--131 Anonymous ANZ volume 34 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 34 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
John Rickard and Allen Russell and Christine Martini Welfare policy and multi-national monopolies . . . . . . . . . . . . . . . 133--152 Peter J. Bryant Chaotic breakdown of a periodically forced, weakly damped pendulum . . . . . 153--173 A. J. Roberts Planform evolution in convection --- an embedded centre manifold . . . . . . . . 174--198 I. H. Sloan and E. P. Stephan Collocation with Chebyshev polynomials for Symm's integral equation on an interval . . . . . . . . . . . . . . . . 199--211 David E. Stewart A numerical algorithm for optimal control problems with switching costs 212--228 S. Suneja and C. Singh and R. N. Kaul Optimality and duality in continuous-time nonlinear fractional programming . . . . . . . . . . . . . . 229--244 B. S. Lalli and B. G. Zhang Oscillation and comparison theorems for certain neutral difference equations . . 245--256 Anonymous ANZ volume 34 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 34 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
A. M. Fink and L. Bass The likely antecedents of improbable events: optimal search strategies . . . 257--273 A. M. Watts Variational principles, duality, Legendre transformations and mine shaft ventilation . . . . . . . . . . . . . . 274--281 Xiaodong Lin and Joseph W.-H. So Global stability of the endemic equilibrium and uniform persistence in epidemic models with subpopulations . . 282--295 V. G. Hart and Jingyu Shi Joined dissimilar orthotropic elastic cylindrical membranes under internal pressure and longitudinal tension . . . 296--317 Philip Broadbridge and Colin Rogers On a nonlinear reaction--diffusion boundary-value problem: application of a Lie--Bäcklund symmetry . . . . . . . . . 318--332 S. I. Barry and G. K. Aldis Radial flow through deformable porous shells . . . . . . . . . . . . . . . . . 333--354 G. J. Weir Linearised evaporation about a shallow half-plane pond . . . . . . . . . . . . 355--367 Hocine Mekias and Jean-Marc Vanden-Broeck Free-surface flow due to a source submerged in a fluid of infinite depth with two stagnant regions . . . . . . . 368--376 Lawrence K. Forbes and Graeme C. Hocking Flow induced by a line sink in a quiescent fluid with surface-tension effects . . . . . . . . . . . . . . . . 377--391 Anonymous ANZ volume 34 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 34 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Jean-Marc Vanden-Broeck Two-dimensional jet aimed vertically upwards . . . . . . . . . . . . . . . . 393--400 S. Prössdorf and J. Saranen and I. H. Sloan A discrete method for the logarithmic-kernel integral equation on an open arc . . . . . . . . . . . . . . 401--418 Keijo Ruotsalainen Remarks on the boundary element method for strongly nonlinear problems . . . . 419--438 Roy B. Leipnik Partial differential equations for Eigenvalues: sensitivity and perturbation analysis . . . . . . . . . 439--470 Yang Kuang and Hal L. Smith Convergence in Lotka--Volterra type diffusive delay systems without dominating instantaneous negative feedbacks . . . . . . . . . . . . . . . 471--494 U. Helmke Isospectral flows and linear programming 495--510 V. M. Gorringe and P. G. L. Leach The first integrals and their Lie algebra of the most general autonomous Hamiltonian of the form $ H = T + V $ possessing a Laplace--Runge--Lenz vector 511--522 Anonymous Contents of Volume 34 . . . . . . . . . 523--524 Anonymous ANZ volume 34 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 34 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Bruce Calvert and Grant Keady Braess's paradox and power-law nonlinearities in networks . . . . . . . 1--22 W. McLean and V. Thomée Numerical solution of an evolution equation with a positive-type memory term . . . . . . . . . . . . . . . . . . 23--70 R. Butt Optimal shape design for a nozzle problem . . . . . . . . . . . . . . . . 71--86 Amiya K. Pani A finite element method for a diffusion equation with constrained energy and nonlinear boundary conditions . . . . . 87--102 B. S. Attili Numerical computation of symmetry-breaking bifurcation points . . 103--113 G. C. Hocking Bow flows with smooth separation in water of finite depth . . . . . . . . . 114--126 Anonymous ANZ volume 35 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 35 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
E. O. Tuck Some accurate solutions of the lifting surface integral equation . . . . . . . 127--144 Lawrence K. Forbes One-dimensional pattern formation in a model of burning . . . . . . . . . . . . 145--173 J. F. McCarthy Gas and water cresting towards horizontal wells . . . . . . . . . . . . 174--197 S. Chandra and M. V. Durga Prasad Symmetric duality in multi-objective programming . . . . . . . . . . . . . . 198--206 J. F. McCarthy Improved model of water cresting . . . . 207--222 S. Tang and S. Qin and R. O. Weber Numerical studies on $2$-dimensional reaction--diffusion equations . . . . . 223--243 Stephen Roberts A line element algorithm for curve flow problems in the plane . . . . . . . . . 244--261 Anonymous ANZ volume 35 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 35 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Yong-Hong Wu and James M. Hill and Paul J. Flint A novel finite element method for heat transfer in the continuous caster . . . 263--288 Alex McNabb and Grant Keady Diffusion and the torsion parameter . . 289--301 P. F. Rhodes-Robinson On wave motion in a two-layered liquid of infinite depth in the presence of surface and interfacial tension . . . . 302--322 H. K. Khosla and R. K. Chhabra Second harmonic resonance in magnetohydrodynamic jet . . . . . . . . 323--334 D. Palaniappan and S. D. Nigam and T. Amaranath A theorem for a fluid Stokes flow . . . 335--347 A. K. Dhar and K. P. Das Stability analysis from fourth order evolution equation for small but finite amplitude interfacial waves in the presence of a basic current shear . . . 348--365 Peeyush Chandra and J. S. V. R. Krishna Prasad Pulsatile flow in circular tubes of varying cross-section with suction/injection . . . . . . . . . . . 366--381 L. Vijaya Bharathi and A. Chakrabarti and B. N. Mandal and S. Banerjee Solution of the problem of scattering of water waves by a nearly vertical plate 382--395 I. G. Graham and Y. Yan Piecewise constant collocation for first-kind boundary integral equations 396--398 Anonymous ANZ volume 35 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 35 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Geoff A. Latham The computational approach to commuting ordinary differential operators of orders six and nine . . . . . . . . . . 399--419 Jen-Chih Yao On the generalized complementarity problem . . . . . . . . . . . . . . . . 420--428 Vasile Preda On nonlinear programming and matrix game equivalence . . . . . . . . . . . . . . 429--438 M. Aslam Chaudhry On an integral of Lommel and Bessel functions . . . . . . . . . . . . . . . 439--444 P. B. Chapman Perturbations of nonlinear autonomous oscillators . . . . . . . . . . . . . . 445--468 M. Aslam Chaudhry On a family of logarithmic and exponential integrals occurring in probability and reliability theory . . . 469--478 P. F. Siew A numerical scheme for the electromagnetic response in thin conductors of arbitrary planar shape . . 479--497 Lakshmisree Bandopadhyaya Cost-time trade-off in three-axial sums' transportation problem . . . . . . . . . 498--505 Dao Huy Bich A boundary value problem of elastoplastic deformation process theory: Existence and uniqueness theorems . . . . . . . . . . . . . . . . 506--524 Anonymous ANZ volume 35 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 35 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
R. Grimshaw and J. Gan Analysis of a differential equation occurring in the theory of flame fronts 1--16 Michael A. B. Deakin Laplace transforms for superexponential functions . . . . . . . . . . . . . . . 17--25 A. M. Arthurs and J. Clegg On the solution of a nonlinear problem in cell membrane theory . . . . . . . . 26--37 Peter Pudney and Phil Howlett Optimal driving strategies for a train journey with speed limits . . . . . . . 38--49 B. D. Craven Convergence of discrete approximations for constrained minimization . . . . . . 50--59 C. E. M. Pearce and J. E. Pecari\'c On two lemmas of Brown and Shepp having application to sum sets and fractals . . 60--63 Songping Zhu and Jörg Imberger A three-dimensional numerical model of the response of the Australian North West Shelf to tropical cyclones . . . . 64--100 M. A. Hernandez Veron The Taylor series for bandlimited signals . . . . . . . . . . . . . . . . 101--106 K. Balachandran and P. Balasubramaniam Controllability of nonlinear neutral Volterra integrodifferential systems . . 107--116 D. Idczak and K. Kibalczyc and S. Walczak On an optimization problem with cost of rapid variation of control . . . . . . . 117--131 T. C. Brown and P. K. Pollett Poisson approximations for telecommunications networks . . . . . . 132 Anonymous ANZ volume 36 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 36 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Lawrence K. Forbes and Anthony M. Watts and Graeme A. Chandler Flow fields associated with in situ mineral leaching . . . . . . . . . . . . 133--151 P. B. Chapman Aspects of laser Lorenz dynamics . . . . 152--174 B. Forte and M. Lo Schiavo and E. R. Vrscay Continuity properties of attractors for iterated fuzzy set systems . . . . . . . 175--193 Feiyue He The maximum principle for a type of hereditary semilinear differential equation . . . . . . . . . . . . . . . . 194--212 Jia-Ding Cao and Heinz H. Gonska Pointwise estimates for higher order convexity preserving polynomial approximation . . . . . . . . . . . . . 213--233 Nian Li and Joseph Steiner and Shimin Tang Convergence and stability analysis of an explicit finite difference method for $2$-dimensional reaction--diffusion equations . . . . . . . . . . . . . . . 234--241 Santhosh George and M. Thamban Nair A class of discrepancy principles for the simplified regularization of ill-posed problems . . . . . . . . . . . 242--248 Yin Xi Huang Existence of positive solutions for a class of the $p$-Laplace equations . . . 249--264 Anonymous ANZ volume 36 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 36 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
P. I. Brooker and M. A. Stewart A comparative study of simulation techniques for two dimensional data honouring specified exponential semivariograms . . . . . . . . . . . . . 249--260 Mohammad A. Kazemi A gradient technique for an optimal control problem governed by a system of nonlinear first order partial differential equations . . . . . . . . . 261--273 X. Q. Yang Smoothing approximations to nonsmooth optimization problems . . . . . . . . . 274--285 E. N. Chukwu Control in $ W_2^{(1)} $ of nonlinear interconnected systems of neutral type 286--312 Charles Bu On the Cauchy problem for the 1+2 complex Ginzburg--Landau equation . . . 313--324 Michael N. Barber and David Singleton Travelling waves in phase field models of solidification . . . . . . . . . . . 325--371 B. N. Mandal and Sudeshna Banerjea Scattering of water waves by a submerged nearly circular cylinder . . . . . . . . 372--380 Anonymous ANZ volume 36 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 36 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Christopher T. Lenard Rank-1 perturbations and the Lanczos method, inverse iteration, and Krylov subspaces . . . . . . . . . . . . . . . 381--388 D. J. F. Nonnenmacher and R. Zagst A new form of Jensen's inequality and its application to statistical experiments . . . . . . . . . . . . . . 389--398 Yunbeom Park and U Jin Choi Degree reduction of Bézier curves and its error analysis . . . . . . . . . . . . . 399--413 K. H. Wong and N. Lock and K. Kaji A computational method for a class of jump linear quadratic systems . . . . . 414--423 D. E. Farrow and E. O. Tuck Further studies of stern wavemaking . . 424--437 J. R. Philip Fast diffusion with loss at infinity . . 438--459 Yi Xiao and Eric King-Wah Chu A nonmonotone inexact Newton algorithm for nonlinear systems of equations . . . 460--492 F. N. Valvi The Hadamard product of two Brownian matrices: Analytic inverse and determinant . . . . . . . . . . . . . . 493--497 Anonymous ANZ volume 36 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 36 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
J. Whale and N. Fowkes and G. Hocking and D. Hill A model of the injection moulding process . . . . . . . . . . . . . . . . 1--15 Shiming Zheng and Desmond Robbie A note on the convergence of Halley's method for solving operator equations 16--25 T. J. Connolly and K. A. Landman and L. R. White On Gerchberg's method for the Fourier inverse problem . . . . . . . . . . . . 26--44 J. N. Dewynne and P. Wilmott A note on American options with varying exercise price . . . . . . . . . . . . . 45--57 Radha Shridharan and Ravi P. Agarwal General iterative methods for nonlinear boundary value problems . . . . . . . . 58--85 Bao Zhu Guo Asymptotic behaviour of the spectrum of a direct feedback control system . . . . 86--98 L. Bencheikh Low frequency scattering of elastic waves by a cavity using a matched asymptotic expansion method . . . . . . 99--120 Anonymous ANZ volume 37 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 37 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Erik A. van Doorn and Pauline Schrijner Geometric ergodicity and quasi-stationarity in discrete-time birth--death processes . . . . . . . . . 121--144 Simant Dube Using fractal geometry for solving divide-and-conquer recurrences . . . . . 145--171 Wensheng Xu Stochastic maximum principle for optimal control problem of forward and backward system . . . . . . . . . . . . . . . . . 172--185 J. R. Christie and K. Gopalsamy Chaos in an anharmonic oscillator . . . 186--207 C. E. M. Pearce and J. E. Pecari\'c On an inequality relating to sum sets 208--211 D. E. Winch and P. H. Roberts Derivatives of addition theorems for Legendre functions . . . . . . . . . . . 212--234 Jillian A. K. Stott and James P. Denier The temporal stability of a developing jet: a model problem . . . . . . . . . . 235--252 Jong-Sheng Guo Similarity solutions for a quasilinear parabolic equation . . . . . . . . . . . 253--266 D. G. Hurley and P. F. Siew The EM response due to a plane sheet of arbitrary shape and conductivity profile 267--278 Anonymous ANZ volume 37 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 37 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Michael A. B. Deakin The Laplace transform of $ \exp (e^t) $ 279--287 David E. Stewart A numerical method for friction problems with multiple contacts . . . . . . . . . 288--308 M. J. Clifford and S. R. Bishop Locating oscillatory orbits of the parametrically-excited pendulum . . . . 309--319 Zhuhan Jiang Matrix spectral problem with multiple-order jumps and poles . . . . . 320--333 W. D. McKee Bragg resonances in a two-layer fluid 334--345 K. Balachandran and J. P. Dauer Relative controllability of nonlinear neutral Volterra integrodifferential systems . . . . . . . . . . . . . . . . 346--353 H. D. Tuan On solution sets of nonconvex Darboux problems and applications to optimal control with endpoint constraints . . . 354--391 M. Aslam Chaudhry and S. M. Zubair On an extension of generalized incomplete Gamma functions with applications . . . . . . . . . . . . . . 392--405 Lawrence K. Forbes and Graeme C. Hocking and Graeme A. Chandler A note on withdrawal through a point sink in fluid of finite depth . . . . . 406--416 A. Chakrabarti and T. Sahoo Reflection of water waves by a nearly vertical porous wall . . . . . . . . . . 417--429 Anonymous ANZ volume 37 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 37 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
R. E. Mahony and U. Helmke and J. B. Moore Gradient algorithms for principal component analysis . . . . . . . . . . . 430--450 M. Jane Sexton and Lawrence K. Forbes A note on oscillations in a simple model of a chemical reaction . . . . . . . . . 451--457 S. D. Watt and R. O. Weber Reaction waves and non-constant diffusivities . . . . . . . . . . . . . 458--473 Carlos A. Cabrelli and Ursula M. Molter Wavelet transform of the dilation equation . . . . . . . . . . . . . . . . 474--489 C. E. M. Pearce and J. Pecari\'c On two lemmas of Brown and Shepp having application to sum sets and fractals, II 490--494 Mohammad A. Kazemi Necessary conditions for constrained distributed parameter systems with deviating argument . . . . . . . . . . . 495--511 Sudeshna Banerjea Scattering of water waves by a vertical wall with gaps . . . . . . . . . . . . . 512--529 A. T. Ernst Continuous-time quadratic cost flow problems with applications to water distribution networks . . . . . . . . . 530--548 Sang Dong Kim Preconditioning collocation method using quadratic splines with applications to 2nd-order separable elliptic equations 549--570 J. R. Philip Fast diffusion with loss at infinity . . 571 Anonymous ANZ volume 37 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 37 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
A. A. Kolyshkin and Rémi Vaillancourt Double conductor line above a two-layered cylinder with varying properties . . . . . . . . . . . . . . . 1--15 A. M. Russell and C. A. Martini and J. A. Rickard Welfare optimization and multinational monopolies . . . . . . . . . . . . . . . 16--25 Chia-Shun Yih and Songping Zhu Selective withdrawal from stratified streams . . . . . . . . . . . . . . . . 26--40 Xiangjian He Oscillations of Interconnected Systems with $ C^0 $ Nonlinearities . . . . . . 41--62 J. Asavanant and J.-M. Vanden-Broeck Nonlinear free-surface flows emerging from vessels and flows under a sluice gate . . . . . . . . . . . . . . . . . . 63--86 R. K. Bera and A. Chakrabarti The sputtering temperature of a cooling cylindrical rod without and with an insulated core in a two-fluid medium . . 87--100 S. D. Watt and A. J. Roberts The construction of zonal models of dispersion in channels via matched centre manifolds . . . . . . . . . . . . 101--125 S. Zhou and X. Cai Variance Minimization --- Relationship between Completion-Time Variance and Waiting-Time Variance . . . . . . . . . 126--139 S. K. Mishra and R. N. Mukherjee On generalised convex multi-objective nonsmooth programming . . . . . . . . . 140--148 Anonymous ANZ volume 38 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 38 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Yulin Cao and H. I. Freedman Global attractivity in time-delayed predator--prey systems . . . . . . . . . 149--162 John R. Graef and Agnes Miciano and Paul W. Spikes and P. Sundaram and E. Thandapani Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations . . . . . . . . . . 163--171 Wensheng Xu A maximum principle for optimal control for a class of controlled systems . . . 172--181 L. S. Jennings and K. H. Wong and K. L. Teo Optimal control computation to account for eccentric movement . . . . . . . . . 182--193 X. Q. Yang A comparative study of smoothing approximations . . . . . . . . . . . . . 194--200 A. A. K. Majumdar Generalized multi-peg Tower of Hanoi problem . . . . . . . . . . . . . . . . 201--208 David Mustard The fractional Fourier transform and the Wigner distribution . . . . . . . . . . 209--219 Andonowati A two-sided shooting method in computation of travelling combustion waves of a solid material . . . . . . . 220--228 L. R. Bragg Propagation relations for solutions of some higher order Cauchy problems . . . 229--239 H. Zhang and G. C. Hocking Withdrawal of layered fluid through a line sink in a porous medium . . . . . . 240--254 L. D. Hird and P. F. Siew Small Reynolds number flow between eccentric rotating cylinders with a permeable sleeve . . . . . . . . . . . . 255--273 Dongho Shin and John C. Strikwerda Fast solvers for finite difference approximations for the Stokes and Navier--Stokes equations . . . . . . . . 274--290 Anonymous ANZ volume 38 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 38 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Marko A. Rojas-Medar and José Luiz Boldrini Global strong solutions of equations of magnetohydrodynamic type . . . . . . . . 291--306 J. R. Christie and K. Gopalsamy and M. P. Panizza Subharmonic orbits in an anharmonic oscillator . . . . . . . . . . . . . . . 307--315 Anna S. Dostovalova and Sergey T. Simakov Formation of singularities in a stratified fluid in the presence of a critical level . . . . . . . . . . . . . 316--324 Sanja Varosanec and Josip Pecari\'c Some integral inequalities, with application to bounds for moments of a distribution . . . . . . . . . . . . . . 325--335 Carsten Carstensen and Ernst P. Stephan Adaptive boundary-element methods for transmission problems . . . . . . . . . 336--367 Zbigniew Leyk A $ C^0 $-collocation-like method for elliptic equations on rectangular regions . . . . . . . . . . . . . . . . 368--387 P. G. Howlett and J. Cheng Optimal driving strategies for a train on a track with continuously varying gradient . . . . . . . . . . . . . . . . 388--410 M. El-Gabali Efficient multiple-term approximations for the generalised elliptic-type integrals . . . . . . . . . . . . . . . 411--426 Anonymous ANZ volume 38 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 38 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Belinda Barnes and Roger Grimshaw Analytical and numerical studies of the Bonhoeffer van der Pol system . . . . . 427--453 Richard J. Boucherie On the quasi-stationary distribution for queueing networks with defective routing 454--463 R. O. Weber and S. D. Watt Combustion waves . . . . . . . . . . . . 464--476 A. B. Pleasants and G. C. Wake and A. L. Rae The allometric hypothesis when the size variable is uncertain: issues in the study of carcass composition by serial slaughter . . . . . . . . . . . . . . . 477--488 D. D. Bainov and I. M. Stamova Second method of Lyapunov and comparison principle for impulsive differential-difference equations . . . 489--505 K. K. Tam and Andonowati Numerical study of a problem in the combustion of a porous medium . . . . . 506--517 Peter Tritscher An integrable fourth-order nonlinear evolution equation applied to surface redistribution due to capillarity . . . 518--541 Liu Jianyong and Liu Ke Markov decision programming --- the moment optimal problem for the first-passage model . . . . . . . . . . 542--562 Huyun Sha and J.-M. Vanden-Broeck Internal solitary waves with stratification in density . . . . . . . 563--580 M. Aslam Chaudhry and S. M. Zubair On a connection between the generalized incomplete gamma functions and their extensions . . . . . . . . . . . . . . . 581--589 Anonymous Contents of Volume 38 . . . . . . . . . 590--592 Anonymous ANZ volume 38 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 38 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
A. P. Torokhti and P. G. Howlett On the constructive approximation of non-linear operators in the modelling of dynamical systems . . . . . . . . . . . 1--27 G. C. Sander and R. D. Braddock and I. F. Cunning and J. Norbury and S. W. Weeks Source solutions for the nonlinear diffusion-convection equation . . . . . 28--45 Nassar H. S. Haidar On a boundary-value problem posed by cancer therapy with neutron beams . . . 46--60 K. H. Wong and N. Lock Optimal control of a chemical reactor 61--76 Nikolaos S. Papageorgiou On the variational stability of a class of nonlinear parabolic optimal control problems . . . . . . . . . . . . . . . . 77--92 A. Chakrabarti and Sudeshna Banerjea and B. N. Mandal and T. Sahoo A unified approach to problems of scattering of surface water waves by vertical barriers . . . . . . . . . . . 93--103 P. F. Rhodes-Robinson On waves in the presence of vertical porous boundaries . . . . . . . . . . . 104--120 Dongho Shin and John C. Strikwerda Inf-sup conditions for finite-difference approximations of the Stokes equations 121--134 Magdi A. El-Gabali Multiple-term approximations for Appell's $ F_1 $ function . . . . . . . 135--148 Anonymous ANZ volume 39 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 39 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Murray Rudman One-field equations for two-phase flows 149--170 Lawrence K. Forbes A two-dimensional model for large-scale bushfire spread . . . . . . . . . . . . 171--194 H. W. J. Lee and K. L. Teo and L. S. Jennings On optimal control of multi-link vertical planar robot arms systems moving under the effect of gravity . . . 195--213 Sudebi Bhattacharyya and K. P. Das Fourth-order nonlinear evolution equations for surface gravity waves in the presence of a thin thermocline . . . 214--229 Siu Pang Yung Differential game with switching controls on Hilbert space . . . . . . . 230--256 Ch. Wali Mohammad Bilinear and bilateral generating functions of generalized polynomials . . 257--270 H. Zhang and G. C. Hocking and D. A. Barry An analytical solution for critical withdrawal of layered fluid through a line sink in a porous medium . . . . . . 271--279 Wenyu Sun On the convergence of an iterative method for the minimax problem . . . . . 280--292 Anonymous ANZ volume 39 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 39 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
P. F. Rhodes-Robinson On the scattering of waves by nearly hard or soft incomplete vertical barriers in water of infinite depth . . 293--307 A. Chakrabarti and T. Sahoo Reflection of water waves in the presence of surface tension by a nearly vertical porous wall . . . . . . . . . . 308--317 Sudeshna Banerjea and B. N. Mandal Scattering of water waves by a submerged thin vertical wall with a gap . . . . . 318--331 J. Lee and J.-M. Vanden-Broeck Bubbles rising in an inclined two-dimensional tube and jets falling along a wall . . . . . . . . . . . . . . 332--349 Boris Guljas and C. E. M. Pearce and Josip Pecari\'c An inequality for probability density functions arising from a distinguishability problem . . . . . . . 350--354 H. T. Rathod and H. S. Govinda Rao Integration of trivariate polynomials over linear polyhedra in Euclidean three-dimensional space . . . . . . . . 355--385 Patricia J. Y. Wong and Ravi P. Agarwal Eigenvalue characterization for $ (n \cdot p) $ boundary-value problems . . . 386--407 Chang Ho Kim and U Jin Choi Spectral collocation methods for a partial integro-differential equation with a weakly singular kernel . . . . . 408--430 Anonymous ANZ volume 39 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 39 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Christodoulos Athanasiadis On the acoustic scattering amplitude for a multi-layered scatterer . . . . . . . 431--448 Wensheng Xu and Shuping Chen Optimal consumption/portfolio choice with borrowing rate higher than deposit rate . . . . . . . . . . . . . . . . . . 449--462 Gerhard-W. Weber On the topology of parametric optimal control . . . . . . . . . . . . . . . . 463--497 Andrew P. Bassom and P. J. Blennerhassett Long wavelength vortices in time-periodic flows . . . . . . . . . . 498--512 K. Vijayakumar On the integrability and exact solutions of the nonlinear diffusion equation with a nonlinear source . . . . . . . . . . . 513--527 J.-M. Vanden-Broeck A model for the free-surface flow due to a submerged source in water of infinite depth . . . . . . . . . . . . . . . . . 528--538 A. Chakrabarti and T. Sahoo The effect of surface tension in porous wave maker problems . . . . . . . . . . 539--556 V. T. Buchwald and F. Viera Linearised evaporation from a soil of finite depth above a water table . . . . 557--576 Anonymous Contents of Volume 39 . . . . . . . . . 577--579 Anonymous ANZ volume 39 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 39 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Wenhuan Yu A quasi-Newton approach to identification of a parabolic system . . 1--22 Andrew J. Rixon and Craig R. Johnson and Alans S. Jones Stability in paradigm biological systems 23--34 P. J. Montgomery and T. B. Moodie Analytical and numerical results for flow and shock formation in two-layer gravity currents . . . . . . . . . . . . 35--58 Roman R. Poznanski Electrophysiology of a leaky cable model for coupled neurons . . . . . . . . . . 59--71 L. M. Brock Analytic results for roots of two irrational functions in elastic wave propagation . . . . . . . . . . . . . . 72--79 B. Guljas and C. E. M. Pearce and J. Pecari\'c Jensen's inequality for distributions possessing higher moments, with application to sharp bounds for Laplace--Stieltjes transforms . . . . . 80--85 Bong Dae Choi and Gang Uk Hwang and Dong Hwan Han Supplementary variable method applied to the MAP/G/1 queueing system . . . . . . 86--96 Y. K. Aw and Robyn Owens and John Ross An analysis of local energy and phase congruency models in visual feature detection . . . . . . . . . . . . . . . 97--122 James P. Denier and Andrew P. Bassom Neutrally stable wave motions in thermally stratified Poiseuille--Couette flow . . . . . . . . . . . . . . . . . . 123--144 Anonymous ANZ volume 40 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 40 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Craig L. Russell and P. J. Blennerhassett and P. J. Stiles Strongly nonlinear vortices in magnetized ferrofluids . . . . . . . . . 146--170 P. K. Kundu and N. K. Saha On the scattering of water waves by a submerged slender barrier . . . . . . . 171--189 Sudebi Bhattacharyya and K. P. Das The effect of randomness on the stability of deep water surface gravity waves in the presence of a thin thermocline . . . . . . . . . . . . . . 190--206 Yang Woo Shin and Chareles E. M. Pearce The BMAP/G/1 vacation queue with queue-length dependent vacation schedule 207--221 Allen R. Miller and H. M. Srivastava On the Mellin transform of a product of hypergeometric functions . . . . . . . . 222--237 Terence Chan Large deviations and quasi-stationarity for density-dependent birth--death processes . . . . . . . . . . . . . . . 238--256 David Mustard Fractional convolution . . . . . . . . . 257--265 V. Rehbock and S. Wang and K. L. Teo Computing optimal control with a hyperbolic partial differential equation 266--287 Anonymous ANZ volume 40 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 40 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
V. Jeyakumar and K. L. Teo Preface . . . . . . . . . . . . . . . . 288 S. Adly and W. Oettli Solvability of generalized nonlinear symmetric variational inequalities . . . 289--300 Jonathan M. Borwein and Warren B. Moors and Yongheng Shao Subgradient representation of multifunctions . . . . . . . . . . . . . 301--313 K. L. Teo and L. S. Jennings and H. W. J. Lee and V. Rehbock The control parameterization enhancing transform for constrained optimal control problems . . . . . . . . . . . . 314--335 Diethard Klatte and Bernd Kummer Strong stability in nonlinear programming revisited . . . . . . . . . 336--352 C. Z\d\ualinescu A comparison of constraint qualifications in infinite-dimensional convex programming revisited . . . . . . 353--378 H. Xu and A. M. Rubinov and B. M. Glover Strict lower subdifferentiability and applications . . . . . . . . . . . . . . 379--391 X. Q. Yang and K. L. Teo Necessary optimality conditions for bicriterion discrete optimal control problems . . . . . . . . . . . . . . . . 392--402 V. Jeyakumar and X. Wang Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with $ C^1 $-data . . . . . . . . . . . . . . . 403--420 Anonymous ANZ volume 40 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 40 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
E. O. Tuck and S. T. Simakov Splash formation at the nose of a smoothly curved body in a stream . . . . 421--436 Z. He and M. W. Wong Wavelet multipliers and signals . . . . 437--446 Shaun R. Belward Fully nonlinear flow over successive obstacles: hydraulic fall and supercritical flows . . . . . . . . . . 447--458 Linzhang Lu and C. E. M. Pearce On the square-root method for continuous-time algebraic Riccati equations . . . . . . . . . . . . . . . 459--468 Robert E. O'Malley Mahony's intriguing stiff equations . . 469--474 A. B. Gumel On the numerical solution of the diffusion equation subject to the specification of mass . . . . . . . . . 475--483 Jianzhong Zhang and Zhenhong Liu and Zhongfan Ma The inverse fractional matching problem 484--496 Mingyan Li and Cheng-Chew Lim Observability-enhanced proportional navigation guidance with bearings-only measurements . . . . . . . . . . . . . . 497--512 Chang Ho Kim and U Jin Choi Second-order time discretization with finite-element method for partial integro-differential equations with a weakly singular kernel . . . . . . . . . 513--524 E. A. Bondarev and V. A. Budugaeva and E. L. Gusev Synthesis of layered shells from a finite set of viscoelastic materials . . 525--534 Cvetan Jardas and Josip Pecari\'c and Rajko Roki and Nikola Sarapa On some inequalities for entropies of discrete probability distributions . . . 535--541 Jianzhong Zhang and Detong Zhu A nonmonotonic trust region method for constrained optimization problems . . . 542--567 X. Q. Yang and C. J. Goh Models and algorithms for multiple criteria linear cost network programs 568--581 Anonymous ANZ volume 40 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 40 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Changzheng Qu Reductions and exact solutions of some nonlinear partial differential equations under four types of generalized conditional symmetries . . . . . . . . . 1--40 Y. Liu and K. L. Teo A bridging method for global optimization . . . . . . . . . . . . . . 41--57 Peng Shi Control of continuous-time systems with discrete jumps . . . . . . . . . . . . . 58--82 Jack Heidel and John Maloney When can sigmoidal data be fit to a Hill curve? . . . . . . . . . . . . . . . . . 83--92 R. Subramaniam and K. Balachandran Existence of solutions of a class of stochastic Volterra integral equations with applications to chemotherapy . . . 93--104 I. Ali and S. Kalla A generalized Hankel transform and its use for solving certain partial differential equations . . . . . . . . . 105--117 O. D. Makinde Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel . . 118--128 L. D. Hird and P. F. Siew and S. Wang A numerical solution to the flow between eccentric rotating cylinders with a slotted sleeve . . . . . . . . . . . . . 129--152 Anonymous ANZ volume 41 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 41 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Charles Pearce Preface . . . . . . . . . . . . . . . . 153 Tze-Chuen Toh and Malcolm R. Anderson Knots and gravity . . . . . . . . . . . 154--160 Wai Kin Chan and Reynaldo Castillo and King Fai Lai Foliations in supergravity . . . . . . . 161--166 Peter Szekeres and Anthony Lun What is a shell-crossing singularity? 167--179 Malcolm Anderson Near-field expansion of the metric due to a cosmic string . . . . . . . . . . . 180--197 David L. Wiltshire Dilaton black holes with a cosmological term . . . . . . . . . . . . . . . . . . 198--216 E. W. M. Chow and A. W.-C. Lun Apparent horizons in vacuum Robinson--Trautman spacetimes . . . . . 217--230 Jürgen Klenk Existence of stationary vacuum solutions of Einstein's equations in an exterior domain . . . . . . . . . . . . . . . . . 231--247 G. E. Prince and J. E. Aldridge and S. E. Godfrey and G. B. Byrnes The separation of the Hamilton--Jacobi equation for the Kerr metric . . . . . . 248--259 J. F. Q. Fernandes and A. W.-C. Lun Integrability conditions for the Bianchi identities as transformations in Schwarzschild space--time . . . . . . . 260--270 D. A. Prager and A. W.-C. Lun Numerical integration of the axisymmetric Robinson--Trautman equation by a spectral method . . . . . . . . . . 271--280 Anonymous ANZ volume 41 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f3 Anonymous ANZ volume 41 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
J. R. Philip Instantaneous point source solutions in nonlinear diffusion with nonlinear loss or gain . . . . . . . . . . . . . . . . 281--300 Charles Bu Forced cubic Schrödinger equation with Robin boundary data: continuous dependency result . . . . . . . . . . . 301--311 Weichung Wang Final iterations in interior point methods --- preconditioned conjugate gradients and modified search directions 312--328 N. Elezovi\'c and M. Mati\'c and C. E. M. Pearce and J. Pecari\'c On two lemmas of Brown and Shepp having application to sum sets and fractals, III . . . . . . . . . . . . . . . . . . 329--337 A. J. Koerber and L. K. Forbes An analysis of two and three dimensional unsteady withdrawal flows, using shallow water theory . . . . . . . . . . . . . . 338--357 J. C. Barton and C. J. Eliezer On pursuit curves . . . . . . . . . . . 358--371 Shihong Wang and Zuoyi Zhou Averaging of the Hamilton--Jacobi equation in infinite dimensions and an application . . . . . . . . . . . . . . 372--385 Hong Oh Kim and Jong Ha Park The generalized Shannon system in wavelet space . . . . . . . . . . . . . 386--400 John Maloney and Jack Heidel and Josip Pecari\'c A reverse Hölder type inequality for the logarithmic mean and generalizations . . 401--409 Jack Heidel and John Maloney An analysis of a fractal Michaelis--Menten curve . . . . . . . . 410--422 Anonymous ANZ volume 41 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 41 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Pauline Coolen-Schrijner and Andrew Hart and Phil Pollett Quasistationarity of continuous-time Markov chains with positive drift . . . 423--441 A. Nouri An Euler--Poisson system in plasmas . . 442--450 Wang Wendi and Tang Chunlei Dynamics of a delayed population model with feedback control . . . . . . . . . 451--457 L. H. Wiryanto and E. O. Tuck An open-channel flow meeting a barrier and forming one or two jets . . . . . . 458--472 P. Cerone and A. Sofo Summing series arising from integro-differential-difference equations . . . . . . . . . . . . . . . 473--486 Rafikul Alam and Rekha P. Kulkarni and Balmohan V. Limaye Accelerated spectral refinement. Part I: simple eigenvalue . . . . . . . . . . . 487--507 Brian Young Analysis and optimisation of looped water distribution networks . . . . . . 508--526 Huan-Wen Liu An expansion of bivariate spline functions . . . . . . . . . . . . . . . 527--541 Hang Gao and Xunjing Li Necessary conditions for optimal control of elliptic systems . . . . . . . . . . 542--567 J. R. Graef and C. Qian Global attractivity in differential equations with variable delays . . . . . 568--579 Anonymous Content of Volume 41 . . . . . . . . . . 580--582 Anonymous ANZ volume 41 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 41 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Charles E. M. Pearce Preface to this Volume . . . . . . . . . 1 John D. Donaldson Preface to this Issue . . . . . . . . . 1--2 Ian H. Sloan Multiple integration is intractable but not hopeless . . . . . . . . . . . . . . 3--8 Michael R. Osborne Scoring with constraints . . . . . . . . 9--25 R. S. Anderssen and M. Westcott The molecular weight distribution problem and reptation mixing rules . . . 26--40 V. V. Anh and W. Grecksch and J. M. Angulo and M. D. Ruiz-Medina The Wiener--Hopf integral equation for fractional Riesz--Bessel motion . . . . 41--54 Adrian Swift and Easwaran Balakrishnan Solution of nonlinear equations and computation of multiple solutions of a simple reaction--diffusion equation . . 55--64 Rainer Kress Integral equation methods in inverse obstacle scattering . . . . . . . . . . 65--78 George M. Phillips A generalization of the Bernstein polynomials based on the $q$-integers 79--86 Frank Stenger Sinc approximation of Cauchy-type integrals over arcs . . . . . . . . . . 87--97 Graeme J. Byrne and T. M. Mills and Simon J. Smith The Lebesgue function for generalized Hermite--Fejér interpolation on the Chebyshev nodes . . . . . . . . . . . . 98--109 Roger J. Hosking Approximate evaluation of integrals . . 110--118 R. Champion and C. T. Lenard and T. M. Mills A variational approach to splines . . . 119--135 Alan L. Andrew Quadrature errors in finite element eigenvalue computations . . . . . . . . 136--140 Mark Ainsworth and Bill McLean and Thanh Tran Diagonal scaling of stiffness matrices in the Galerkin boundary element method 141--150 M. R. Capobianco and G. Criscuolo and P. Junghanns and U. Luther Uniform convergence of the collocation method for Prandtl's integro-differential equation . . . . . 151--168 Binh Pham Aesthetic factors in geometric modelling 169--180 J. N. Lyness A brief survey of extrapolation quadrature . . . . . . . . . . . . . . . 181--185 Anonymous ANZ volume 42 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f5 Anonymous ANZ volume 42 issue 1 Back matter . . . b1
L. R. Bragg Derivative-type ascent formulas for kernels of some half-space Dirichlet problems . . . . . . . . . . . . . . . . 185--194 Jan H. van Vuuren and John Norbury Conditions for permanence in well-known biological competition models . . . . . 195--223 Rafikul Alam and Rekha P. Kulkarni and Balmohan V. Limaye Accelerated spectral refinement. Part II: Cluster of eigenvalues . . . . . . . 224--243 J. N. Boyd and P. N. Raychowdhury Lattice vibrations with Rayleigh dissipation . . . . . . . . . . . . . . 244--253 D. Juki\'c and R. Scitovski The best least squares approximation problem for a $3$-parametric exponential regression model . . . . . . . . . . . . 254--266 Sanja Varosanec and Josip Pecari\'c Some integral inequalities with bounds for moments of distribution II . . . . . 267--276 A. Chakrabarti On the solution of the problem of scattering of surface water waves by a sharp discontinuity in the surface boundary conditions . . . . . . . . . . 277--286 Youngmok Jeon A quadrature method for constant-coefficient Cauchy singular integral equations on an interval . . . 287--311 Anonymous ANZ volume 42 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 42 issue 2 Back matter . . . b1--b2
A. R. Selvaratnam and M. Vlieg-Hulstman and B. van-Brunt and W. D. Halford On the solution of a class of second-order quasi-linear PDEs and the Gauss equation . . . . . . . . . . . . . 312--323 Laurence Mays and John Norbury Bifurcation of positive solutions for a Neumann boundary value problem . . . . . 324--340 D. D. Bainov and I. M. Stamova Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations . . . . . . . . . . . . . . . 341--353 S. W. McCue and L. K. Forbes Smoothly attaching bow flows with constant vorticity . . . . . . . . . . . 354--371 J. M. Gutiérrez and M. A. Hernández An application of Newton's method to differential and integral equations . . 372--386 M. Mati\'c and C. E. M. Pearce and J. Pecari\'c Refinements of some bounds in information theory . . . . . . . . . . . 387--398 J. R. Christie and K. Gopalsamy and Jibin Li Chaos in perturbed Lotka--Volterra systems . . . . . . . . . . . . . . . . 399--412 Ricardo Celorrio and Francisco-Javier Sayas Extrapolation techniques and the collocation method for a class of boundary integral equations . . . . . . 413--437 Jong-Shenq Guo and Yung-Jen Lin Guo An ordinary differential equation arising in the Ricci flow on the plane 438--444 A. Brown Fast diffusion with loss at infinity-additional solutions . . . . . 445--450 Anonymous ANZ volume 42 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 42 issue 3 Back matter . . . b1--b2
David E. Stewart Towards numerically estimating Hausdorff dimensions . . . . . . . . . . . . . . . 451--461 A. M. Rubinov and B. M. Glover Equilibrium with fixed budgets and superlinear connections . . . . . . . . 462--480 Graham J. Weir Early quasi-steady electro-magnetic fields about conducting surfaces . . . . 481--493 F. G. Avkhadiev and A. M. Elizarov Bilateral estimates of the critical Mach number for some classes of carrying wing profiles . . . . . . . . . . . . . . . . 494--503 D. D. Bainov and I. M. Stamova Lipschitz stability of impulsive functional-differential equations . . . 504--514 S. S. Dragomir and C. J. Goh On monotonicity and superadditivity properties of the entropy function . . . 515--531 Liping Pan and Jiongmin Yong Optimal control for quasilinear retarded parabolic systems . . . . . . . . . . . 532--551 B. G. Zhang and Jian-She Yu Comparison and linearized oscillation theorems for a nonlinear partial difference equation . . . . . . . . . . 552--560 Zhu Hongliang and Cui Jingan Asymptotic behaviour of a nonautonomous cooperative system . . . . . . . . . . . 561--568 Yongkun Li On a periodic mutualism model . . . . . 569--580 Anonymous Contents of Volume 42 . . . . . . . . . 581--583 Anonymous ANZ volume 42 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 42 issue 4 Back matter . . . b1--b2
Rodney Weber and Harvinder Sidhu and Geoffrey Mercer Combustion meeting in honour of Professor B. F. Gray . . . . . . . . . . i Huw O. Pritchard How Brian Gray became a combustion scientist . . . . . . . . . . . . . . . ii--iii Graeme Wake Speech by Professor G. C. Wake for the Professor B. F. Gray dinner . . . . . . iv--vi B. F. Gray On the critical conditions for an assembly of interacting thermons . . . . 1--11 C. Macaskill and M. J. Sexton and B. F. Gray A reaction--diffusion model of stored bagasse . . . . . . . . . . . . . . . . 13--34 Lawrence K. Forbes and William Derrick A combustion wave of permanent form in a compressible gas . . . . . . . . . . . . 35--58 A. C. Mcintosh and B. F. Gray and G. C. Wake and R. Ball The stability of a near-adiabatic Endex batch CSTR reactor . . . . . . . . . . . 59--75 R. O. Weber and G. C. Wake and H. S. Sidhu and G. N. Mercer and B. F. Gray and W. Derrick and E. Balakrishnan On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere . . . . . . . . . . 77--85 M. I. Nelson and G. C. Wake and X. D. Chen and E. Balakrishnan The multiplicity of steady-state solutions arising from microwave heating. I. Infinite Biot number and small penetration depth . . . . . . . . 87--103 M. I. Nelson and H. S. Sidhu and R. O. Weber and G. N. Mercer A dynamical systems model of the limiting oxygen index test . . . . . . . 105--117 J. Graham-Eagle and D. A. Schult Combustion waves with reactant depletion 119--135 T. R. Marchant and B. Liu On the heating of a two-dimensional slab in a microwave cavity: aperture effects 137--148 J. Brindley and J. F. Griffiths and A. C. McIntosh and J. Zhang Initiation of combustion waves in solids, and the effects of geometry . . 149--163 Xiao Dong Chen Self-heating behaviour of low moisture content particles-modelling the basket-heating of solid particles and some aspects of the cross over behaviour using milk powder as an example . . . . 165--181 Anonymous ANZ volume 43 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 43 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
V. Ivancevic and C. E. M. Pearce Topological duality in humanoid robot dynamics . . . . . . . . . . . . . . . . 183--194 William V. Smith Wave motion in a conducting fluid with a layer adjacent to the boundary, II. Eigenfunction expansions . . . . . . . . 195--236 Shaun R. Belward and Lawrence K. Forbes A simple model for oilspill containment 237--246 Yang Kuang Global stability and persistence in diffusive food chains . . . . . . . . . 247--268 D. D. Bainov and I. M. Stamova Stability of the solutions of impulsive functional-differential equations by Lyapunov's direct method . . . . . . . . 269--278 Liming Ma and Qianshun Chang Multigrid methods for the biharmonic equation using some nonconforming plate elements . . . . . . . . . . . . . . . . 279--289 R. K. Raina and H. M. Srivastava and A. A. Kilbas and M. Saigo Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions . . . . 291--320 Anonymous ANZ volume 43 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 43 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Y. Kang and J.-M. Vanden-Broeck Stern waves with vorticity . . . . . . . 321--332 Jillian A. K. Stott and James P. Denier The stability of boundary layers on curved heated plates . . . . . . . . . . 333--358 Xinzhi Liu and S. Sivaloganathan and Shenghai Zhang Analysis of cell population PDE models with general maturation rates . . . . . 359--374 C. J. Snape-Jenkinson and S. Crozier and L. K. Forbes NMR shim coil design utilising a rapid spherical harmonic calculation method 375--386 Ishak Hashim On competition between modes at the onset of Bénard--Marangoni convection in a layer of fluid . . . . . . . . . . . . 387--395 Sangjeong Kim Gevrey class regularity of the magnetohydrodynamics equations . . . . . 397--408 S. Saujani and J. Drozd and R. Mallier Nonlinear evolution of singular disturbances to a $ \tanh^3 y $ mixing layer . . . . . . . . . . . . . . . . . 409--427 Miodrag M. Spalevi\'c Calculation of Chakalov--Popoviciu quadratures of Radau and Lobatto type 429--447 Bao Zhu Guo Further results for a one-dimensional linear thermoelastic equation with Dirichlet--Dirichlet boundary conditions 449--462 Anonymous ANZ volume 43 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 43 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
K. L. Teo and Y. Liu and W. R. Lee and L. S. Jennings and S. Wang Numerical solution of an optimal control problem with variable time points in the objective function . . . . . . . . . . . 463--478 Thomas M. Acho and Dominic P. Clemence The parameter dependent Sturm--Liouville eigenproblem with an interior simple or double pole . . . . . . . . . . . . . . 479--491 M. Mati\'c and C. E. M. Pearce and J. Pecari\'c Some refinements of Shannon's inequalities . . . . . . . . . . . . . . 493--511 Suma Debsarma and K. P. Das Fourth order nonlinear evolution equations for gravity-capillary waves in the presence of a thin thermocline in deep water . . . . . . . . . . . . . . . 513--524 D. D. Bainov and A. B. Dishliev and I. M. Stamova Practical stability of the solutions of impulsive systems of differential-difference equations via the method of comparison and some applications to population dynamics . . 525--539 Xianping Guo and Weiping Zhu Denumerable state continuous time Markov decision processes with unbounded cost and transition rates under average criterion . . . . . . . . . . . . . . . 541--557 Stevo Stevi\'c Growth theorems for homogeneous second-order difference equations . . . 559--566 H. M. Srivastava and Yeong-Nan Yeh Certain theorems on bilinear and bilateral generating functions . . . . . 567--574 Kokou Y. Abalo and Michael M. Kostreva Existence theory for games of pricing and technology . . . . . . . . . . . . . 575--585 Anonymous Contents of Volume 43 . . . . . . . . . 587--589 Anonymous ANZ volume 43 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 43 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Charles Pearce Preface to this Special Issue . . . . . i--ii Jarmo Hietarinta Taming the movable singularities . . . . 1--9 P. Broadbridge and B. H. Bradshaw and G. R. Fulford and G. K. Aldis Huxley and Fisher equations for gene propagation: an exact solution . . . . . 11--20 A. Ramani and B. Grammaticos What is the discrete analogue of the Painlevé property? . . . . . . . . . . . 21--32 R. L. Dewar Asymptotology --- a cautionary tale . . 33--40 N. S. Witte and P. J. Forrester and Christopher M. Cosgrove Integrability, random matrices and Painlevé transcendents . . . . . . . . . 41--50 Hilary Booth Nonlinear electron solutions and their characteristics at infinity . . . . . . 51--59 M. C. Nucci and P. G. L. Leach Symmetry analysis of and first integrals for the continuum Heisenberg spin chain 61--72 Oktay K. Pashaev and Jyh-Hao Lee Black holes and solitons of the quantized dispersionless NLS and DNLS equations . . . . . . . . . . . . . . . 73--81 Peter J. Vassiliou An integrable system of partial differential equations on the special linear group . . . . . . . . . . . . . . 83--93 T. R. Marchant Numerical solitary wave interaction: the order of the inelastic effect . . . . . 95--102 V. Veerakumar and M. Daniel Propagation of an electromagnetic soliton in a ferromagnetic medium . . . 103--110 Yoshitsugu Takei On an exact WKB approach to Ablowitz--Segur's connection problem for the second Painlevé equation . . . . . . 111--119 Xing-Biao Hu and Johan Springael A Bäcklund transformation and nonlinear superposition formula for the Lotka--Volterra hierarchy . . . . . . . 121--128 Wen-Xiu Ma and Yunbo Zeng Binary constrained flows and separation of variables for soliton equations . . . 129--139 W. K. Schief On the geometry of the Painlevé $V$ equation and a Bäcklund transformation 141--148 N. A. Kudryashov and M. B. Soukharev Discrete equations corresponding to fourth-order differential equations of the $ P_2 $ and $ K_2 $ hierarchies . . 149--160 M. S. Harmer Inverse scattering for the matrix Schrödinger operator and Schrödinger operator on graphs with general self-adjoint boundary conditions . . . . 161--168 Partha Guha Diffeomorphisms on $ S^1 $, projective structures and integrable systems . . . 169--180 Anonymous ANZ volume 44 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4
G. C. Hocking and J.-M. Vanden-Broeck and L. K. Forbes A note on withdrawal from a fluid of finite depth through a point sink . . . 181--191 D. S. Franzblau and A. Raychaudhuri Optimal Hamiltonian completions and path covers for trees, and a reduction to maximum flow . . . . . . . . . . . . . . 193--204 Dong-Hua Shi and De-Xing Feng Exponential decay rate of the energy of a Timoshenko beam with locally distributed feedback . . . . . . . . . . 205--220 M. Mati\'c and C. E. M. Pearce and J. Pecari\'c Two-point formulae of Euler type . . . . 221--245 Peter Aizengendler Newton's diagram method for nonlinear equations with several small parameters 247--259 S. Mohamad and K. Gopalsamy Extreme stability and almost periodicity in continuous and discrete neuronal models with finite delays . . . . . . . 261--282 Bong Dae Choi and Bara Kim An M/G/$l$ queueing system with fixed feedback policy . . . . . . . . . . . . 283--297 K. C. Gupta and S. P. Goyal and Rohit Mukherjee Some results on generalised Voigt functions . . . . . . . . . . . . . . . 299--303 Huan-Wen Liu and Song-Ping Zhu The dual reciprocity boundary element method for magnetohydrodynamic channel flows . . . . . . . . . . . . . . . . . 305--322 Anonymous ANZ volume 44 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 44 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Roman Badora and Roman Ger and Zsolt Páles Additive selections and the stability of the Cauchy functional equation . . . . . 323--337 H. C. Lai and J. C. Liu Minimax fractional programming involving generalised invex functions . . . . . . 339--354 N. S. Barnett and S. S. Dragomir and C. E. M. Pearce A quasi-trapezoid inequality for double integrals . . . . . . . . . . . . . . . 355--364 S. W. Weeks and G. C. Sander and J.-Y. Parlange $n$-Dimensional first integral and similarity solutions for two-phase flow 365--380 Hongjun Gao and Keng-Huat Kwek Global existence for the generalised $2$D Ginzburg--Landau equation . . . . . 381--392 Daniel Franco and Rodrigo L. Pouso Nonresonance conditions and extremal solutions for first-order impulsive problems under weak assumptions . . . . 393--407 Vy Khoi Le On some noncoercive variational inequalities containing degenerate elliptic operators . . . . . . . . . . . 409--430 E. Argyropoulos and D. Gintides and K. Kiriaki On the condition number of integral equations in linear elasticity using the modified Green's function . . . . . . . 431--446 Rajneesh Kumar and Sushil K. Tomar and Asha Chopra Reflection/refraction of SH-waves at a corrugated interface between two different anisotropic and vertically heterogeneous elastic solid half-spaces 447--460 P. K. Chaudhuri and Subhankar Ray Effects of an axisymmetric rigid punch on a nonhomogeneous transversely isotropic half-space . . . . . . . . . . 461--474 H. M. Srivastava and M. A. Pathan and M. G. Bin-Saad A certain class of generating functions involving bilateral series . . . . . . . 475--483 Anonymous ANZ volume 44 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 44 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
P. G. Howlett and C. E. M. Pearce and A. P. Torokhti An optimal linear filter for random signals with realisations in a separable Hilbert space . . . . . . . . . . . . . 485--500 R. M. Cullen and A. Korobeinikov and W. J. Walker Seasonality and critical community size for infectious diseases . . . . . . . . 501--512 R. P. Agarwal and S. Heikkilä On the solvability of first-order discontinuous scalar initial and boundary value problems . . . . . . . . 513--538 Qihong Chen Minimax control of an elliptic variational bilateral problem . . . . . 539--559 Y. M. Stokes Determining rotational deformity in broken forearms . . . . . . . . . . . . 561--568 Xianzhang Wen and Zhicheng Wang Global attractivity of the periodic Kolmogorov system . . . . . . . . . . . 569--581 Hanzhong Wu A variation-of-constants formula for a linear abstract evolution equation in Hilbert space . . . . . . . . . . . . . 583--590 Patrick Habets and Rodrigo L. Pouso Examples of the nonexistence of a solution in the presence of upper and lower solutions . . . . . . . . . . . . 591--594 Y. F. Yang A new trust region method for nonsmooth equations . . . . . . . . . . . . . . . 595--607 Horst Alzer Inequalities for the beta function of $n$ variables . . . . . . . . . . . . . 609--623 Xinping Guan and Yichang Liu and Cailian Chen and Peng Shi Observer-based robust $ H_\infty $, control for uncertain time-delay systems 625--634 Anonymous Contents of Volume 44 . . . . . . . . . 635--638 Anonymous ANZ volume 44 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 44 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Songping Zhu and Yinglong Zhang A flat ship theory on bow and stern flows . . . . . . . . . . . . . . . . . 1--15 M. W. Wong and Zhaohui Zhang Traces of localisation operators with two admissible wavelets . . . . . . . . 17--25 A. B. Pleasants and G. C. Wake and C. C. Daly Derivation of the probability density function for ultimate muscle pH in slaughtered animals . . . . . . . . . . 27--34 M. Al-Refai and K. K. Tam Sequential eigenfunction expansion for a problem in combustion theory . . . . . . 35--48 H. Yang and G. Yin and K. Yin and Q. Zhang Control of singularly perturbed Markov chains: a numerical study . . . . . . . 49--74 B. Jiménez and V. Novo A notion of local proper efficiency in the Borwein sense in vector optimisation 75--89 Z. F. Li and M. R. Osborne and T. Prvan Numerical algorithms for constrained maximum likelihood estimation . . . . . 91--114 Hongwei Lou Existence of optimal controls for semilinear elliptic equations without Cesari-type conditions . . . . . . . . . 115--131 G. A. Mohr and A. S. Power Natural cubic element formulation and infinite domain modelling for potential flow problems . . . . . . . . . . . . . 133--143 Salah M. El-Sayed A two-sided iterative method for computing positive definite solutions of a nonlinear matrix equation . . . . . . 145--152 Anonymous ANZ volume 45 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 45 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Norhayati and G. C. Wake The solution and the stability of a nonlinear age-structured population model . . . . . . . . . . . . . . . . . 153--165 Ravi P. Agarwal and Donal O'Regan Singular problems modelling phenomena in the theory of pseudoplastic fluids . . . 167--179 S. M. Moghadas and A. B. Gumel An epidemic model for the transmission dynamics of HIV and another pathogen . . 181--193 Young Joon Ahn Degree reduction of Bézier curves using constrained Chebyshev polynomials of the second kind . . . . . . . . . . . . . . 195--205 T. Caraballo and J. A. Langa and J. Valero The dimension of attractors of nonautonomous partial differential equations . . . . . . . . . . . . . . . 207--222 Tadeusz Jankowski Minimal and maximal solutions to systems of differential equations with a singular matrix . . . . . . . . . . . . 223--231 Zhengqiu Zhang and Zhicheng Wang Periodic solutions of a two-species ratio-dependent predator--prey system with time delay in a two-patch environment . . . . . . . . . . . . . . 233--244 P. Muthu and B. V. Rathish Kumar and Peeyush Chandra On the influence of wall properties in the peristaltic motion of micropolar fluid . . . . . . . . . . . . . . . . . 245--260 John Maloney and Jack Heidel An analysis of a fractal kinetics curve of Savageau . . . . . . . . . . . . . . 261--269 Yuji Liu and Binggen Zhang Global attractivity of a class of delay differential equations with impulses . . 271--284 C. E. M. Pearce and J. Pecari\'c On some switching inequalities of Brenner and Alzer . . . . . . . . . . . 285--288 M. Kamarujjama A unified presentation of generalised Voigt functions . . . . . . . . . . . . 289--293 Elias Deeba and Ghassan Dibeh and Suheil Khuri and Shishen Xie Decomposition method for solving a nonlinear business cycle model . . . . . 295--302 Anonymous ANZ volume 45 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 45 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
M. I. Nelson and H. S. Sidhu Bifurcation phenomena for an oxidation reaction in a continuously stirred tank reactor. II. Diabatic operation . . . . 303--326 Pedro J. Torres Some remarks on a Neumann boundary value problem arising in fluid dynamics . . . 327--332 B. Van Brunt and D. Pidgeon and M. Vlieg-Hulstman and W. D. Halford Conservation laws for second-order parabolic partial differential equations 333--348 Hongxu Li and Falun Huang Minimal approximate Hessians for continuously Gâteaux differentiable functions . . . . . . . . . . . . . . . 349--359 P. J. Harris and H. Al-Awadi and W. K. Soh An investigation into the effects of heat transfer on the motion of a spherical bubble . . . . . . . . . . . . 361--371 G. M. Cox and J. M. Hill The limiting ideal theory for shear-index cohesionless granular materials . . . . . . . . . . . . . . . 373--392 Selma Belen and C. E. M. Pearce Rumours with general initial conditions 393--400 S. K. Lucas Maximising output from oil reservoirs without water breakthrough . . . . . . . 401--422 I. Penesis and J. J. Shepherd and H. J. Connell The pressure field in the gas-lubricated step slider bearing . . . . . . . . . . 423--442 T. K. Kar and K. S. Chaudhuri Harvesting in a two-prey one-predator fishery: a bioeconomic model . . . . . . 443--456 Anonymous ANZ volume 45 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 45 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Emma Hunt A probabilistic algorithm for finding the rate matrix of a block-GI/M/1 Markov chain . . . . . . . . . . . . . . . . . 457--475 S. J. Li and X. Q. Yang and K. L. Teo and S. Y. Wu A solution method for combined semi-infinite and semi-definite programming . . . . . . . . . . . . . . 477--494 D. P. Bulte and L. K. Forbes and S. Crozier Phase-retardation effects at radio frequencies in flat-plate conductors . . 495--510 D. Byatt and I. D. Coope and C. J. Price Performance of various BFGS implementations with limited precision second-order information . . . . . . . . 511--522 Pham Huu Sach and Gue Myung Lee and Do Sang Kim Efficiency and generalised convexity in vector optimisation problems . . . . . . 523--546 J. M. Gaffney and C. E. M. Pearce Memory, market stability and the nonlinear cobweb theorem . . . . . . . . 547--555 Yan Sun and Lishan Liu and Yeol Je Cho Positive solutions of singular nonlinear Sturm--Liouville boundary value problems 557--571 G. A. Mohr Flow ratio design of primal and dual network models of distribution . . . . . 573--583 Jong-Shenq Guo and Chu-Pin Lo and Je-Chiang Tsai The structure of solutions for equations related to the motions of plane curves 585--592 Aimin Zhao and Xianhua Tang and Jurang Yan Oscillation of first-order delay differential equations . . . . . . . . . 593--599 Anonymous Contents of Volume 45 . . . . . . . . . 601--604 Anonymous ANZ volume 45 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 45 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b4
A. C. McIntosh and R. O. Weber and G. N. Mercer Non-adiabatic combustion waves for general Lewis numbers: wave speed and extinction conditions . . . . . . . . . 1--16 Martin Bohner and Ondrej Doslý Oscillation of symplectic dynamic systems . . . . . . . . . . . . . . . . 17--32 Alberto Cabada and Seppo Heikkilä Existence of solutions of third-order functional problems with nonlinear boundary conditions . . . . . . . . . . 33--44 Detong Zhu An affine scaling interior point backtracking algorithm for nonlinear constrained optimisation . . . . . . . . 45--66 M. S. Krishnarayalu Singular perturbation methods for a class of initial and boundary value problems in multi-parameter classical digital control systems . . . . . . . . 67--77 J. M. Gaffney and C. E. M. Pearce Nonlinear-cobweb dynamics in the approach to equilibrium . . . . . . . . 79--83 Edgar Reich E. R. Love's integral equation for the circular plate condenser . . . . . . . . 85--93 Chunshan Zhao and Kaitai Li On existence, uniqueness and $ L^r $-exponential stability for stationary solutions to the MHD equations in three-dimensional domains . . . . . . . 95--109 Zhuhan Jiang and Xiling Guo A note on the extension of a family of biorthogonal Coifman wavelet systems . . 111--120 Rui Xu and Lansun Chen and M. A. J. Chaplain Persistence and global stability in a delayed predator--prey system with Holling-type functional response . . . . 121--141 R. Raghavendra Rao and K. R. Prasad Effects of velocity-slip and viscosity variation on journal bearings . . . . . 143--155 Stevo Stevi\'c Asymptotic behaviour of second-order difference equations . . . . . . . . . . 157--170 Anonymous ANZ volume 46 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 46 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Mi Jin Lee and Jong Yeoul Park Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint . . . . . . 171--184 Yang Shouzhi A fast algorithm for constructing orthogonal multiwavelets . . . . . . . . 185--200 Rekha P. Kulkarni and N. Gnaneshwar Spectral refinement using a new projection method . . . . . . . . . . . 203--224 Keyvan Amini Solving rank one revised linear systems by the scaled ABS method . . . . . . . . 225--236 Hazem A. Attia and Mohamed E. S. Ahmed Non-Newtonian conducting fluid flow and heat transfer due to a rotating disk . . 237--248 Maurice N. Brearley and Neville J. de Mestre Rolling of a rigid ball on a horizontal deformable surface . . . . . . . . . . . 249--264 Roy B. Leipnik and Charles E. M. Pearce Independent non-identical five-parameter gamma-Weibull variates and their sums 265--271 Antonio Suárez Nonnegative solutions for a heterogeneous degenerate competition model . . . . . . . . . . . . . . . . . 273--297 D. Purohit and K. S. Chaudhuri A bioeconomic model of nonselective harvesting of two competing fish species 299--308 Anonymous ANZ volume 46 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 46 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Yong Zhou Direction of vorticity and a new regularity criterion for the Navier--Stokes equations . . . . . . . . 309--316 F. Huang and F. Liu The time fractional diffusion equation and the advection--dispersion equation 317--330 Zhenting Hou and Jiaowan Luo and Peng Shi Stochastic stability of linear systems with semi-Markovian jump parameters . . 331--340 Challa S. Sastry and P. C. Das A convolution back projection algorithm for local tomography . . . . . . . . . . 341--360 Mihaela T. Matache and Valentin Matache Queueing systems for multiple FBM-based traffic models . . . . . . . . . . . . . 361--377 Selma Belen and C. Yalçin Kaya and C. E. M. Pearce Impulsive control of rumours with two broadcasts . . . . . . . . . . . . . . . 379--391 Carlton H. Scott and Thomas R. Jefferson Duality for linear multiplicative programs . . . . . . . . . . . . . . . . 393--397 M. I. Nelson Bifurcation phenomena for an oxidation reaction in a continuously stirred tank reactor. III. The inhibiting effect of an inert species . . . . . . . . . . . . 399--416 Lj. Dedi\'c and M. Mati\'c and J. Pecari\'c On Euler midpoint formulae . . . . . . . 417--438 Stevo Stevi\'c Growth estimates for solutions of nonlinear second-order difference equations . . . . . . . . . . . . . . . 439--448 Anonymous ANZ volume 46 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 46 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Marian Slodicka A robust linearisation scheme for a nonlinear elliptic boundary value problem: Error estimates . . . . . . . . 449--470 Honglei Xu and Xinzhi Liu and Kok Lay Teo Robust $ H_\infty $ stabilisation with definite attenuance of an uncertain impulsive switched system . . . . . . . 471--484 Emma Hunt Ramaswami's duality and probabilistic algorithms for determining the rate matrix for a structured GI/M/1 Markov chain . . . . . . . . . . . . . . . . . 485--493 D. P. Wilson and D. L. S. McElwain Diffusion theory can be applied to antibodies attaching to ligand sites . . 495--505 C. E. Watson and S. R. Otto The stability of a curved, heated boundary layer: linear and nonlinear problems . . . . . . . . . . . . . . . . 507--543 Jurang Yan and Aimin Zhao and Linping Peng Oscillation of impulsive delay differential equations and applications to population dynamics . . . . . . . . . 545--554 J. Pecari\'c and I. Peri\'c and A. Vukeli\'c Sharp integral inequalities based on general Euler two-point formulae . . . . 555--574 Hazem Ali Attia Point-joint coordinate formulation for the dynamic analysis of generalised planar linkages . . . . . . . . . . . . 575--589 Anonymous Contents of volume 46 . . . . . . . . . 591--593 Anonymous ANZ volume 46 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 46 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Emma Hunt and Charles Pearce In Memoriam: Hilary Booth . . . . . . . i Jean-Paul Penot and Constantin Z\d\ualinescu Some problems about the representation of monotone operators by convex functions . . . . . . . . . . . . . . . 1--20 G. D. McBain Plane poloidal-toroidal decomposition of doubly periodic vector fields. Part 1. Fields with divergence . . . . . . . . . 21--38 G. D. McBain Plane poloidal-toroidal decomposition of doubly periodic vector fields. Part 2. The Stokes equations . . . . . . . . . . 39--50 Jong Yeoul Parks and Sun Hye Park Existence of solutions and optimal control problems for hyperbolic hemivariational inequalities . . . . . . 51--63 K. Fakhar and Zu-Chi Chen and Xiaoda Ji Symmetry analysis of rotating fluid . . 65--74 B. Emamizadeh and F. Bahrami Existence of seamount steady vortex flows . . . . . . . . . . . . . . . . . 75--88 Zhan Zhou and Jianshe Yu and Zhiming Guo The existence of periodic and subharmonic solutions to subquadratic discrete Hamiltonian systems . . . . . . 89--102 P. M. Haese Cavities at atmospheric pressure behind two-dimensional bodies at an angle of attack . . . . . . . . . . . . . . . . . 103--119 J. Mazumdar and A. Ghosh and J. S. Hewitt and P. K. Bhattacharya Elastic plastic analysis of shallow shells --- a new approach . . . . . . . 121--130 Dursun Irk and Idris Dag and Abdülkadir Dogan Numerical integration of the RLW equation using cubic splines . . . . . . 131--142 Anonymous ANZ volume 47 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 47 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
B. D. Craven Optimal control on an infinite domain 143--153 Tadeusz Antczak Saddle point criteria and duality in multiobjective programming via an $ \eta $-approximation method . . . . . . . . . 155--172 M. I. Nelson and X. D. Chen and M. J. Sexton Analysis of the Michaelis--Menten mechanism in an immobilised enzyme reactor . . . . . . . . . . . . . . . . 173--184 T. E. Stokes and G. C. Hocking and L. K. Forbes Unsteady flow induced by a withdrawal point beneath a free surface . . . . . . 185--202 Xinzhi Liu and Xuemin Shen and Yi Zhang A comparison principle and stability for large-scale impulsive delay differential systems . . . . . . . . . . . . . . . . 203--235 F. Dal and G. Sh. Guseinov A boundary value problem for second-order nonlinear difference equations on the integers . . . . . . . 237--248 Zhengqiu Zhang and Yusen Zhu and Biwen Li Periodic solutions of a nonlinear oscillatory system with two degrees of freedom . . . . . . . . . . . . . . . . 249--263 Laxmi Narain and P. C. Bagga Flowshop/no-idle scheduling to minimise the mean flowtime . . . . . . . . . . . 265--275 Roy B. Leipnik and C. E. M. Pearce Diversity sensitivity and multimodal Bayesian statistical analysis by relative entropy . . . . . . . . . . . . 277--287 Anonymous ANZ volume 47 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 47 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
R. J. Baxter Hyperelliptic parametrisation of the generalised order parameter of the $ N = 3 $ chiral Potts model . . . . . . . . . 289--307 Ravi P. Agarwal and Donal O'Regan and Patricia J. Y. Wong On constant-sign periodic solutions in modelling the spread of interdependent epidemics . . . . . . . . . . . . . . . 309--332 Angus I. S. Munro and Larry K. Forbes Including ionisation in a simple model of single-bubble sonoluminescence . . . 333--358 Kenneth S. Berenhaut and Eva G. Goedhart and Stevo Stevi\'c Explicit bounds for third-order difference equations . . . . . . . . . . 359--366 J. Pecari\'c and I. Franji\'c Generalisation of a corrected Simpson's formula . . . . . . . . . . . . . . . . 367--385 G. F. D. Duff and R. B. Leipnik and C. E. M. Pearce Guide expansions for the recursive parametric solution of polynomial dynamical systems . . . . . . . . . . . 387--396 C. N. Anestopoulos and E. E. Argyropoulos On the low frequency asymptotics for the $2$-D electromagnetic transmission problem . . . . . . . . . . . . . . . . 397--411 V. Sree Hari Rao and P. Raja Sekhara Rao Stability analysis of resource-consumer dynamic models . . . . . . . . . . . . . 413--438 Anonymous ANZ volume 47 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 47 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
N. Q. Huy and V. Jeyakumar and G. M. Lee Sufficient global optimality conditions for multi-extremal smooth minimisation problems with bounds and linear matrix inequality constraints . . . . . . . . . 439--450 Beong in Yun Sigmoidal cosine series on the interval 451--475 Song-Ping Zhu A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield . . . . . . . . 477--494 E. S. Key and M. M. Klosek and D. Abbott On Parrondo's paradox: how to construct unfair games by composing fair games . . 495--511 Yang Shouzhi An algorithm for constructing biorthogonal multiwavelets with higher approximation orders . . . . . . . . . . 513--526 Claire E. Trenham and Larry K. Forbes A comparison of two- and three-variable models for combustion in sealed containers . . . . . . . . . . . . . . . 527--540 S. Munzir and L. S. Jennings and M. T. Koh Computational models satisfying relative angle constraints for $2$-dimensional segmented bodies . . . . . . . . . . . . 541--554 Faming Guo and Bin Tang and Falun Huang Robustness with respect to small delays for exponential stability of abstract differential equations in Banach spaces 555--568 Yan-Ming Fu and Di Wu and Guang-Ren Duan Robust guaranteed cost control for descriptor systems with Markov jumping parameters and state delays . . . . . . 569--580 J. A. Leach A note on the small-time development of the solution to a coupled, nonlinear, singular reaction--diffusion system . . 581--591 Anonymous Contents of volume 47 . . . . . . . . . 593--595 Anonymous ANZ volume 47 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 47 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Michael Baake and Uwe Grimm and Harald Jockusch Freely forming groups: Trying to be rare 1--10 Jochen Garcke and Markus Hegland and Ole Nielsen Parallelisation of sparse grids for large scale data analysis . . . . . . . 11--22 I. Orea-Flores and M. A. Acevedo and J. López-Bonilla Wavelet and discrete cosine transforms for inserting information into BMP images . . . . . . . . . . . . . . . . . 23--35 Zhaoyin Xiang and Qiong Chen and Chunlai Mu Blowup properties for several diffusion systems with localised sources . . . . . 37--56 Guojian Lin and Rong Yuan Travelling waves for the population genetics model with delay . . . . . . . 57--71 Wen-Chyuan Yueh and Sui Sun Cheng Explicit eigenvalues and inverses of several Toeplitz matrices . . . . . . . 73--97 A. Zafer The exponential of a constant matrix on time scales . . . . . . . . . . . . . . 99--106 B. N. Mandal and Soumen De Water wave scattering by two submerged nearly vertical barriers . . . . . . . . 107--117 Ping Yan and Shengqiang Liu SEIR epidemic model with delay . . . . . 119--134 Kemal Uslu On the discrete asymptotic stability conditions of perturbed linear discrete systems with periodic coefficients . . . 135--142 M. I. Qureshi and M. Sadiq Khan and M. A. Pathan and N. U. Khan Some multivariable Gaussian hypergeometric extensions of the Preece theorem . . . . . . . . . . . . . . . . 143--150 Anonymous ANZ volume 48 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 48 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
George Szekeres and Lindsay Peters Computer solution to the $ 17$-point Erd\Hos--Szekeres problem . . . . . . . 151--164 G. C. Hocking Steady Prandtl--Batchelor flows past a circular cylinder . . . . . . . . . . . 165--177 Vy Khoi Le Sub-supersolutions in a variational inequality related to a sandpile problem 179--197 G. Sterling and G. D. McBain and J. A. Harris and M. Boland Drainage after total knee replacement 199--210 A. Berger and T. P. Hill A characterisation of Newton maps . . . 211--223 E. Özugurlu and J.-M. Vanden-Broeck A note on solitary waves with variable surface tension in water of infinite depth . . . . . . . . . . . . . . . . . 225--235 A. Cabada and J. Ángel Cid and S. Heikkilä Solvability of discontinuous functional differential systems in $ I_\infty (M) $ 237--243 Elzbieta Galewska and Marek Galewski On the stability of solutions for the $ p(x)$-Laplacian equation and some applications to optimisation problems with state constraints . . . . . . . . . 245--257 Xinzhi Liu and Hongtao Zhang Robust stability of impulsive switched systems with disturbance . . . . . . . . 259--270 Houbao Xu Stability analysis of a $k$-out-of-$ N \colon G$ reparable system . . . . . . . 271--284 Davies Iyai Euclidean null controllability of infinite neutral differential systems 285--293 Anonymous Corrigendum . . . . . . . . . . . . . . 295 Anonymous ANZ volume 48 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 48 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Vyacheslav M. Abramov Multiserver queueing systems with retrials and losses . . . . . . . . . . 297--314 J. Ugon and S. Kouhbor and M. Mammadov and A. Rubinov and A. Kruger Facility location via continuous optimization with discontinuous objective functions . . . . . . . . . . 315--325 Roy B. Leipnik and Charles E. M. Pearce The multivariate Fa\`a di Bruno formula and multivariate Taylor expansions with explicit integral remainder term . . . . 327--341 Sergio Amat and Sonia Busquier and Sergio Plaza On the dynamics of a family of third-order iterative functions . . . . 343--359 E. H. Doha and A. H. Bhrawy Efficient spectral-Galerkin algorithms for direct solution of the integrated forms of second-order equations using ultraspherical polynomials . . . . . . . 361--386 M. Klarici\'c Bakula and J. Pecari\'c Generalized Hadamard's inequalities based on general Euler $4$-point formulae . . . . . . . . . . . . . . . . 387--404 Saralees Nadarajah and Samuel Kotz On a distribution of Leipnik and Pearce 405--407 J. Gani and L. Stals A note on three stochastic processes with immigration . . . . . . . . . . . . 409--418 Mario Krni\'c and Josip Pecari\'c A Hilbert inequality and an Euler--Maclaurin summation formula . . . 419--431 Baljeet Singh Reflection coefficients and energy ratios in a micropolar thermoelastic medium without energy dissipation . . . 433--447 Anonymous ANZ volume 48 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 48 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Graham Weir Initial deformation about convex surfaces formed from identical, rough elastic-plastic bodies which approach along their normal at first contact . . 449--459 J. Lawrie and J. W. Hearne Using Modified Proper Orthogonal Decomposition (MPOD) for reducing ecosystem models . . . . . . . . . . . . 461--473 Simon Dunstall and Graham Mills Robustness of cyclic schedules for the charging of batteries . . . . . . . . . 475--492 R. B. Leipnik and C. E. M. Pearce Thermodynamics, Mnemonic Matrices and Generalized Inverses . . . . . . . . . . 493--501 P. D. Haynes and S. K. Lucas Extension of a short-time solution of the diffusion equation with application to micropore diffusion in a finite system . . . . . . . . . . . . . . . . . 503--521 Feng Qi A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums . . . . . . . 523--532 R. E. Grundy Hermite interpolation visits ordinary two-point boundary value problems . . . 533--552 Kuei-Lin Tseng and Gou-Sheng Yang and Sever S. Dragomir Generalizations of a weighted trapezoidal inequality for monotonic functions and applications . . . . . . . 553--566 Gradimir V. Milovanovi\'c and Miodrag M. Spalevi\'c Monotonicity of the error term in Gauss--Turán quadratures for analytic function . . . . . . . . . . . . . . . . 567--581 Jean M. Tchuenche Patient-dependent effects in disease control: a mathematical model . . . . . 583--596 Anonymous Contents of volume 48 . . . . . . . . . 597--599 Anonymous ANZ volume 48 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 48 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
M. Hintermüller Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems 1--38 B. Van Brunt and M. Vlieg Hulstman Evolution equations having conservation laws with flux characteristics . . . . . 39--52 P. D. Lasky and A. W. C. Lun and R. B. Burston Initial value formalism for Lema\^\itre--Tolman--Bondi collapse . . 53--73 Marek Galewski A note on the stability and the approximation of solutions for a Dirichlet problem with $ p(x)$-Laplacian 75--83 Yang Shouzhi Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets . . . . . . . . . . . . . 85--97 P. A. Martin Calculating the near field of a line of sources using Mellin transforms . . . . 99--109 Shuping Ma and Xinzhi Liu and Chenghui Zhang Delay-dependent stability and stabilization of uncertain discrete-time Markovian jump singular systems with time delay . . . . . . . . . . . . . . . 111--129 Song-Ping Zhu and Yinglong Zhang A comparative study of the direct boundary element method and the dual reciprocity boundary element method in solving the Helmholtz equation . . . . . 131--150 Anonymous ANZ Volume 49 Issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ Volume 49 Issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
S. J. Chapman and M. J. Plank and A. James and B. Basse A nonlinear model of age and size-structured populations with applications to cell cycles . . . . . . 151--169 A. Cherid and M. A. El-Gebeily and Donal O'Regan and Ravi Agarwal Deblurring and denoising of images with minimization of variation and negative norms . . . . . . . . . . . . . . . . . 171--185 R. Li and Z. G. Feng and K. L. Teo and G. R. Duan Tracking control of linear switched systems . . . . . . . . . . . . . . . . 187--203 Ram U. Verma General projection systems and relaxed cocoercive nonlinear variational inequalities . . . . . . . . . . . . . . 205--212 J. Fernandezbonder and R. Orive and J. D. Rossi The best Sobolev trace constant in domains with holes for critical or subcritical exponents . . . . . . . . . 213--230 Zhenting Hou and Hailing Dong and Peng Shi Asymptotic stability in the distribution of nonlinear stochastic systems with semi-Markovian switching . . . . . . . . 231--241 Kung Yu Chen and Shouh Jung Liu and H. M. Srivastava Some new results for the Lagrange polynomials in several variables . . . . 243--258 Keyvan Aminis and Arash Haseli A new proximity function generating the best known iteration bounds for both large-update and small-update interior-point methods . . . . . . . . . 259--270 Runsheng Yang and Yunhua Ou Inverse coefficient problems for nonlinear elliptic equations . . . . . . 271--279 Shiliang Wu and Tingzhu Huang A modified AOR-type iterative method for $L$-matrix linear systems . . . . . . . 281--292 K. Moriya and T. Nodera Usage of the convergence test of the residual norm in the Tsuno--Nodera version of the GMRES algorithm . . . . . 293--308 Anonymous ANZ volume 49 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous ANZ volume 49 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b3
Tadeusz Antczak An $ \eta $-approximation method for nonsmooth multiobjective programming problems . . . . . . . . . . . . . . . . 309--323 Leng Leng Lim and Winston L. Sweatman and Robert McKibbin A simple deterministic model for volcanic ashfall deposition . . . . . . 325--336 Jianli Li and Jianhua Shen Three nonnegative solutions for second-order impulsive differential equations with a three-point boundary value problem . . . . . . . . . . . . . 337--346 N. Robb Mcdonald Vortex equilibria in flow past a plate 347--359 Wen-Chyuan Yueh and Sui Sun Cheng Explicit eigenvalues and inverses of tridiagonal Toeplitz matrices with four perturbed corners . . . . . . . . . . . 361--387 Bülent Saka and Idris Dag and Dursun Irk Quintic B-spline collocation method for numerical solution of the RLW equation 389--410 Ashkan Rafiee Modelling of generalized Newtonian lid-driven cavity flow using an SPH method . . . . . . . . . . . . . . . . . 411--422 Zheng Liu A sharp $ L_2 $ inequality of Ostrowski type . . . . . . . . . . . . . . . . . . 423--429 Beong in Yun Sigmoidal-type series expansion . . . . 431--450
Chi-Ye Wu and Ting-Zhu Huang Perturbation theory for the $ L U $ and $ Q R $ factorizations . . . . . . . . . 451--461 Yuanyuan Liu and Hanjun Zhang and Yiqiang Zhao Computable strongly ergodic rates of convergence for continuous-time Markov chains . . . . . . . . . . . . . . . . . 463--478 Mohammed Barkatou and Samira Khatmi Symmetry result for some overdetermined value problems . . . . . . . . . . . . . 479--494 Ramon Lacayo Expansion in bell polynomials of the distribution of the total claim amount with weibull-distributed claim sizes . . 495--501 N. G. Barton An evaporation heat engine and condensation heat pump . . . . . . . . . 503--524 Ali P. Frajzadeh and Muhammad Aslam Noor Generalized mixed quasi-complementarity problems in topological vector spaces 525--531 Mi-Hwa Ko and Hyun-Chull Kim and Tae-Sung Kim On functional central limit theorems for linear random fields with dependent innovations . . . . . . . . . . . . . . 533--541 A. Tari and S. Shahmorad A computational method for solving two-dimensional linear Fredholm integral equations of the second kind . . . . . . 543--549 Bo Sun and Xiangkui Zhao and Weigao Ge Successive iteration and positive solutions for a $p$-Laplacian multipoint boundary value problem . . . . . . . . . 551--560 Ming-Guang Leu A note on the Hu--Hwang--Wang conjecture for group testing . . . . . . . . . . . 561--571 Y. J. Shi and G. F. Ma Missile control design based on the linear multiple sliding mode recursive method . . . . . . . . . . . . . . . . . 573--587
Shichang Shu Space-like hypersurfaces in locally symmetric Lorentz space . . . . . . . . 1--11 Jun Zhou and Chunlai Mu Global existence and blow-up for a non-Newton polytropic filtration system with nonlocal source . . . . . . . . . . 13--29 Zaiming Liu and Jun Peng Stability in distribution of nonlinear systems with time-varying delays and semi-Markovian switching . . . . . . . . 31--44 J. Chen and F. Liu and I. Turner and V. Anh The fundamental and numerical solutions of the Riesz space-fractional reaction--dispersion equation . . . . . 45--57 A. A. Dosiyev and S. Cival Buranay On the order of maximum error of the finite difference solutions of Laplace's equation on rectangles . . . . . . . . . 59--73 Mehdi Eliasi and Bijn Taeri Hyper-Wiener index of zigzag polyhex nanotubes . . . . . . . . . . . . . . . 75--86 E. K.-W. Chu and W.-W. Lin and C.-S. Wang Perturbation results related to palindromic eigenvalue problems . . . . 87--100 G. C. Hocking and H. Zhang A note on withdrawal from a two-layer fluid through a line sink in a porous medium . . . . . . . . . . . . . . . . . 101--110 Yeol Je Cho and Young-Ho Kim and Josip Pecari\'c New Gronwall--Ou-Iang type integral inequalities and their applications . . 111--127 Zheng Liu Another sharp $ L_2 $ inequality of Ostrowski type . . . . . . . . . . . . . 129--136 Cristinel Mortici Arithmetic mean of values and value at mean of arguments for convex functions 137--141
George Szekeres and Lindsay Peters Space--time structure and spinor geometry . . . . . . . . . . . . . . . . 143--176 Brian G. Kenny and Tony W. Dixon Ambiguity in the determination of the free energy associated with the critical circle map . . . . . . . . . . . . . . . 177--184 Kristian Sabo and Rudolf Scitovski The best least absolute deviations line --- properties and two efficient methods for its derivation . . . . . . . . . . . 185--198 Miles Wilson and John R. Blake and Peter M. Haese Cloud cavitation dynamics . . . . . . . 199--208 Shuqian Zhu and Chenghui Zhang and Xinzhi Liu and Zhenbo Li Delay-dependent robust $ H_\infty $ control for singular systems with multiple delays . . . . . . . . . . . . 209--230 Jitender Singh and Renu Bajaj Temperature modulation in Rayleigh--Bénard convection . . . . . . . 231--245 B. Gavrea and J. Jakseti\'c and J. Pecari\'c On a global upper bound for Jessen's inequality . . . . . . . . . . . . . . . 246--257 A. P. Farajzadeh On pseudomonotone set-valued mappings in topological vector spaces . . . . . . . 258--265 Scott Mackenzie and Graham Mills Scheduling a heterogeneous set of trains over a single line track using Lagrangian relaxation . . . . . . . . . 266--281
John Burnell and Graham Weir Preface to this special issue . . . . . i--iv W. Luo and G. C. Wake and C. W. Hawk Numerical determination of critical conditions for thermal ignition . . . . 283--305 Mark J. Mcguinness Modelling sea ice growth . . . . . . . . 306--319 Dion R. J. O'Neale and Robert I. Mclachlan Reconsidering trigonometric integrators 320--332 J. C. Butcher Practical Runge--Kutta methods for scientific computation . . . . . . . . . 333--342 Graham Weir A mathematical model for the large-scale transport of heat and water in the Taupo volcanic zone of New Zealand . . . . . . 343--354 John Burnell A model of ion transport in conjugated polymers . . . . . . . . . . . . . . . . 355--364 Robert McKibbin and Thomasin A. Smith and Luke Fullard Components and phases: modelling progressive hydrothermal eruptions . . . 365--380 Nat J. Lund and Shaun C. Hendy Effective slip length of nanoscale mixed-slip surfaces . . . . . . . . . . 381--394 Jade R. Mackay and Stephen P. White and Shaun C. Hendy Modelling the growth of zinc oxide nanostructures . . . . . . . . . . . . . 395--406 Roger Young An analytic solution for one-dimensional dissipational strain-gradient plasticity 407--420 Alex McNabb A conceptual model for the origins of geothermal and volcanic activity in the North Island of New Zealand . . . . . . 421--425 Malcolm A. Grant Mathematical modelling of Wairakei geothermal field . . . . . . . . . . . . 426--434 C. S. Withers Orthogonal functions and Zernike polynomials --- a random variable interpretation . . . . . . . . . . . . . 435--444 Anonymous ANZ volume 50 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 50 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Victor De-la-Peña and Gerardo Hernández-Del-Valle and Carlos G. Pacheco-González An integral equation for the distribution of the first exit time of a reflected Brownian motion . . . . . . . 445--454 Zhong Wan and K. L. Teo and LingShuang Kong and Chunhua Yang A class of mix design problems: formulation, solution methods and applications . . . . . . . . . . . . . . 455--474 Max Skipper and Peter Buchen A valuation formula for multi-asset, multi-period binaries in a Black--Scholes economy . . . . . . . . . 475--485 Yong Ren and Xiliang Fan Reflected backward stochastic differential equations driven by a Lévy process . . . . . . . . . . . . . . . . 486--500 Wenjun Zheng and Zhiqin Zhao Analysis of block-sor iteration for the three-dimensional Laplacian . . . . . . 501--512 Yuji Liu Further results on positive periodic solutions of impulsive functional differential equations and applications 513--533 Maurice N. Brearley A method of improving oar efficiency . . 534--540 Robert A. Van Gorder and K. Vajravelu Unsteady boundary layers: convective heat transfer over a vertical flat plate 541--549 R. Kerman and M. L. Huang and M. Brannan Error estimates for Dominici's Hermite function asymptotic formula and some applications . . . . . . . . . . . . . . 550--561 Anonymous ANZ volume 50 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 50 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b9
Kentaro Moriya and Linjie Zhang and Takashi Nodera An approximate matrix inversion procedure by parallelization of the Sherman--Morrison formula . . . . . . . 1--9 Shijun Liao Series solution of large deformation of a beam with arbitrary variable cross section under an axial load . . . . . . 10--33 Yiping Qian and Xiang Lin Ruin probabilities under an optimal investment and proportional reinsurance policy in a jump diffusion risk process 34--48 Zhi-Xian Yu and Rong Yuan Travelling wave solutions in nonlocal reaction--diffusion systems with delays and applications . . . . . . . . . . . . 49--66 A. Agli\'c Aljinovi\'c and J. Pecari\'c and M. Ribici\'c Penava Sharp integral inequalities based on general two-point formulae via an extension of Montgomery's identity . . . 67--101 Bill Whiten A simple algorithm for deduction . . . . 102--122 Minghao Li and Wuneng Zhou and Ziwei Ni and Mingjun Wang Mixed delay-dependent stability of high-order neural networks based on a weak coupling LMI set . . . . . . . . . 123--140 A. A. Dosiyev and S. Cival Buranay Correction to `On the order of maximum error of the finite difference solutions to Laplace's equation on rectangles' . . 141 Anonymous ANZ volume 51 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 51 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b5
Wen-Ting Chen and Song-Ping Zhu Optimal exercise price of American options near expiry . . . . . . . . . . 145--161 B. Li and K. L. Teo and G. H. Zhao and G. R. Duan An efficient computational approach to a class of minmax optimal control problems with applications . . . . . . . . . . . 162--177 J. A. Leach and Andrew P. Bassom The large-time solution of a nonlinear fourth-order equation initial-value problem I. Initial data with a discontinuous expansive step . . . . . . 178--190 P. Mahale and M. T. Nair Iterated Lavrentiev regularization for nonlinear ill-posed problems . . . . . . 191--217 Chunyan Han and Huanshui Zhang Optimal filtering in discrete-time systems with time delays and Markovian jump parameters . . . . . . . . . . . . 218--233 J. Gani and R. J. Swift Deterministic and stochastic models for the spread of cholera . . . . . . . . . 234--240 S. R. Manam Scattering of membrane coupled gravity waves by partial vertical barriers . . . 241--260 R. Li and Y. J. Shi A time-fuel optimal control problem of a cruise missile based on an improved sliding mode variable structure model 261--276 D. Srinivasacharya and Mekonnen Shiferaw Magnetohydrodynamic flow of a micropolar fluid in a circular pipe with hall effects . . . . . . . . . . . . . . . . 277--285 M. Salahi A self-regular Newton based algorithm for linear optimization . . . . . . . . 286--301 M. Nili Ahmadabadi and F. M. Maalek Ghaini An Adomian decomposition method for solving Liénard equations in general form 302--308 Anonymous ANZ volume 51 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 51 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b6
Andrew Bassom and Graeme Hocking Editorial . . . . . . . . . . . . . . . i--ii R. J. Baxter Proof of the determinantal form of the spontaneous magnetization of the superintegrable chiral Potts model . . . 309--316 E. Özugurlu A note on the numerical approach for the reaction--diffusion problem with a free boundary condition . . . . . . . . . . . 317--330 Rui Gao and Xinzhi Liu Optimal control problems for general global hybrid dynamical systems with matrix cost functional . . . . . . . . . 331--349 Lie-Hui Zhang and Yong Wang A note on periodic solutions of a forced Liénard-type equation . . . . . . . . . . 350--368 Jian-Lei Li and Ting-Zhu Huang and Liang Li Analysis of the inexact Uzawa algorithms for nonlinear saddle-point problems . . 369--382 Anonymous ANZ volume 51 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 51 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b6
Bruce Van Brunt and M. Vlieg-Hulstman An eigenvalue problem involving a functional differential equation arising in a cell growth model . . . . . . . . . 383--393 F. B. Agusto and O. R. Ogunye Avian influenza optimal seasonal vaccination strategy . . . . . . . . . . 394--405 M. Sellier and R. D. Lenz A note on approximate benchmark solutions for viscous two-layer flows 406--415 W. Akhtar and Corina Fetecau and A. U. Awan Exact solutions for the Poiseuille flow of a generalized Maxwell fluid induced by time-dependent shear stress . . . . . 416--429 M. Lauko and D. Sevcovic Comparison of numerical and analytical approximations of the early exercise boundary of American put options . . . . 430--448 Zhibin Liang and Junyi Guo Optimal proportional reinsurance under two criteria: maximizing the expected utility and minimizing the value at risk 449--463 N. H. Sweilam and M. M. Khader A Chebyshev pseudo-spectral method for solving fractional-order integro-differential equations . . . . . 464--475 G. M. Cho and Y. Y. Cho and Y. H. Lee A primal-dual interior-point algorithm based on a new kernel function . . . . . 476--491 Anonymous ANZ volume 51 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 51 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b13
Andrew Bassom and Graeme Hocking Editorial . . . . . . . . . . . . . . . i R. Grimshaw Transcritical flow past an obstacle . . 2--26 Emma G. Thomas and Hannah E. Barrington and Kamalini M. Lokuge and Geoffry N. Mercer Modelling the spread of tuberculosis, including drug resistance and HIV: a case study in Papua New Guinea's Western Province . . . . . . . . . . . . . . . . 26--45 Bruce Van Brunt and M. Vlieg-Hulstman Eigenfunctions arising from a first-order functional differential equation in a cell growth model . . . . 46--58 S. Jiracheewanun and S. W. Armfield and M. Behnia Combined natural convection cooling of a drink can . . . . . . . . . . . . . . . 59--68 David L. Clements On an antiplane crack problem for functionally graded elastic materials 69--86 Jiang Le and Huang Jin and Xiao-Guang Lv and Qing-Song Cheng A preconditioned method for the solution of the Robbins problem for the Helmholtz equation . . . . . . . . . . . . . . . . 87--100 M. B. A. Mansour Travelling wave solutions for doubly degenerate reaction--diffusion equations 101--109 F. Khani and M. T. Darvishi and A. Farmany and L. Kavitha New exact solutions of coupled $ (2 + 1)$-dimensional nonlinear systems of Schrödinger equations . . . . . . . . . . 110--121 Anonymous ANZ volume 52 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 52 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b7
William Mclean Regularity of solutions to a time-fractional diffusion equation . . . 123--138 Hüseyin Merdan Stability analysis of a Lotka--Volterra type predator--prey system involving Allee effects . . . . . . . . . . . . . 139--145 M. Sellier and S. Panda Surface temperature reconstruction based on the thermocapillary effect . . . . . 146--159 A. Matei and R. Ciurcea Contact problems for nonlinearly elastic materials: weak solvability involving dual Lagrange multipliers . . . . . . . 160--178 Zeng Liu and Martin Oberlack and Vladimir N. Grebenev and Shi-Jun Liao Explicit series solution of a closure model for the von Kármán--Howarth equation 179--202 L. N. Guo and H. B. Xu and C. Gao and G. T. Zhu Reliability analysis of a simple repairable system . . . . . . . . . . . 203--217 Sabir Hussain and Josip Pecari\'c Bounds for hardy differences . . . . . . 218--224 Anonymous ANZ volume 52 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 52 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b4
A. R. Champneys and D. Avitabile and M. Homer and R. Szalai The mechanics of hearing: a comparative case study in bio-mathematical modelling 225--249 Xiang Lin and Peng Yang Optimal investment and reinsurance in a jump diffusion risk model . . . . . . . 250--262 David J. Gates Symmetric solutions for two-body dynamics in a collision prevention model 263--288 D. Srinivasacharya and M. Krishna Prasad Creeping flow past a porous approximately spherical shell: stress jump boundary condition . . . . . . . . 289--300 Muhammad Ashraf and M. Anwar Kamal Numerical simulation of MHD stagnation point flow towards a heated axisymmetric surface . . . . . . . . . . . . . . . . 301--308 Iva Franji\'c and Josip Pecari\'c and Ivan Peri\'c General three-point quadrature formulas of Euler type . . . . . . . . . . . . . 309--317 Anonymous ANZ volume 52 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 52 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b5
D. Moloney and N. Sukhorukova and P. Vamplew and J. Ugon and G. Li and G. Beliakov and C. Philippe and H. Amiel and A. Ugon Detecting $k$-complexes for sleep stage identification using nonsmooth optimization . . . . . . . . . . . . . . 319--332 R. I. Hickson and S. I. Barry and H. S. Sidhu and G. N. Mercer A comparison of critical time definitions in multilayer diffusion . . 333--358 S. S. Singh Effect of initial stresses on incident qSV-waves in pre-stressed elastic half-spaces . . . . . . . . . . . . . . 359--371 Dung Tien Nguyen and Xuerong Mao and G. Yin and Chenggui Yuan Stability of singular jump-linear systems with a large state space: a two-time-scale approach . . . . . . . . 372--390 Anonymous ANZ volume 52 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 52 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b10
F. Y. Kuo and Ch. Schwab and I. H. Sloan Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond . . . . . . . . . . . 1--37 M. J. Plank Effects of predator diet breadth on stability of size spectra . . . . . . . 38--47 B. Kheirfam A full NT-step infeasible interior-point algorithm for semidefinite optimization based on a self-regular proximity . . . 48--67 W. H. Gui and X. Y. Shen and N. Chen and C. H. Yang and L. Y. Wang Optimal control of multiple-time delayed systems based on the control parameterization method . . . . . . . . 68--86 Anonymous ANZ volume 53 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 53 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b4
Lawrence K. Forbes Rayleigh--Taylor instabilities in axi-symmetric outflow from a point source . . . . . . . . . . . . . . . . . 87--121 Benjamin J. Binder and Emily J. Hackett-Jones and Jonathan Tuke and Kerry A. Landman A modified Pólya urn process and an index for spatial distributions with volume exclusion . . . . . . . . . . . . . . . 122--133 William Mclean and Vidar Thomée Iterative solution of shifted positive-definite linear systems arising in a numerical method for the heat equation based on Laplace transformation and quadrature . . . . . . . . . . . . . 134--155 Marjeta Kramar Fijavz and Mitja Lakner and Marjeta Skapin Rugelj An equal-area method for scalar conservation laws . . . . . . . . . . . 156--170 Anonymous ANZ volume 53 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 53 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Darren Crowdy Conformal slit maps in applied mathematics . . . . . . . . . . . . . . 171--189 E. O. Tuck and Y. M. Stokes On thin or slender bodies . . . . . . . 190--212 Meksianis Z. Ndii and Roslyn I. Hickson and Geoffry N. Mercer Modelling the introduction of \bionameWolbachia into \bionameAedes aegypti mosquitoes to reduce dengue transmission . . . . . . . . . . . . . . 213--227 Nicholas A. Letchford and Lawrence K. Forbes and Graeme C. Hocking Inviscid and viscous models of axisymmetric fluid jets or plumes . . . 228--250 F. Y. Kuo and Ch. Schwab and I. H. Sloan Correction to `Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond' . . . . . . . . . . 251 Anonymous ANZ volume 53 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 53 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Jason M. Cosgrove and Lawrence K. Forbes Selective withdrawal of a two-layer viscous fluid . . . . . . . . . . . . . 253--277 C. X. Chen and Y. Ding and J. A. Gear Numerical simulation of atherosclerotic plaque growth using two-way fluid-structural interaction . . . . . . 278--291 K. H. Wong and W. M. Tang Optimal control of switched impulsive systems with time delay . . . . . . . . 292--307 R. G. Kasimova and Yu. V. Obnosov Topology of steady heat conduction in a solid slab subject to a nonuniform boundary condition: the Carslaw--Jaeger solution revisited . . . . . . . . . . . 308--320 Miccal T. Matthews and Karen M. Hastie An analytical and numerical study of unsteady channel flow with slip . . . . 321--336 Anonymous ANZ volume 53 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b4 Anonymous ANZ volume 53 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2
Matthew J. Simpson and Geoffry N. Mercer Editorial: infectious disease modelling 1--2 J. Bartlett and M. J. Plank Epidemic dynamics on random and scale-free networks . . . . . . . . . . 3--22 E. K. Waters and H. S. Sidhu and G. N. Mercer Spatial heterogeneity in simple deterministic SIR models assessed ecologically . . . . . . . . . . . . . . 23--36 Benjamin J. Binder and Joshua V. Ross and Matthew J. Simpson A hybrid model for studying spatial aspects of infectious diseases . . . . . 37--49 M. P. Dafilis and F. Frascoli and J. G. Wood and J. M. Mccaw The influence of increasing life expectancy on the dynamics of SIRS systems with immune boosting . . . . . . 50--63 L. Yakob and P. J. Mumby Life histories offer a clue to the future of infectious disease on coral reefs . . . . . . . . . . . . . . . . . 64--73 J. L. Simpson and M. G. Roberts Modelling the effect of vaccination on the meningococcal B epidemic in New Zealand . . . . . . . . . . . . . . . . 74--88 N. J. Beeton and L. K. Forbes Dynamical systems analysis of a model describing Tasmanian Devil facial tumour disease . . . . . . . . . . . . . . . . 89--107 M. G. Roberts A two-strain epidemic model with uncertainty in the interaction . . . . . 108--115 Anonymous ANZ volume 54 issue 1--2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 54 issue 1--2 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
G. C. Wake and H. M. Byrne Calculus from the past: multiple delay systems arising in cancer cell modelling 117--126 Matthew J. Simpson and Adam J. Ellery and Scott W. McCue and Ruth E. Baker Critical timescales and time intervals for coupled linear processes . . . . . . 127--142 Shuai Huang and Zhong Wan and Songhai Deng A modified projected conjugate gradient algorithm for unconstrained optimization problems . . . . . . . . . . . . . . . . 143--152 Runzhang Xu and Yanbing Yang and Shaohua Chen and Jia Su and Jihong Shen and Shaobin Huang Nonlinear wave equations and reaction--diffusion equations with several nonlinear source terms of different signs at high energy level . . 153--170 I. Solekhudin and K. C. Ang A dual-reciprocity boundary element method for steady infiltration problems 171--180 A. G. Bratsos An improved second-order numerical method for the generalized Burgers--Fisher equation . . . . . . . . 181--199 R. Li and Y. J. Shi and H. L. Xu Integrated PID controller design for an unmanned aerial vehicle with static stability . . . . . . . . . . . . . . . 200--215 F. Y. Kuo and Ch. Schwab and I. H. Sloan Correction to 'Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond' . . . . . . . . . . 216--219 Anonymous ANZ volume 54 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b9 Anonymous ANZ volume 54 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2
D. Baowan and B. J. Cox and J. M. Hill Determination of join regions between carbon nanostructures using variational calculus . . . . . . . . . . . . . . . . 221--247 Guillaume Leduc A European option general first-order error formula . . . . . . . . . . . . . 248--272 M. I. Nelson and T. Nicholls and N. Hamzah A biological process subject to noncompetitive substrate inhibition in a generalized flow reactor . . . . . . . . 273--290 Jong Yeoul Park and Sun Hye Park and Yong Han Kang Bilinear optimal control of the velocity term in a von Kármán plate equation . . . 291--305 Min Zhong and R. J. Loy and R. S. Anderssen Approximating the Kohlrausch function by sums of exponentials . . . . . . . . . . 306--323 Anonymous ANZ volume 54 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 54 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
Lawrence K. Forbes A note on travelling waves in competitive reaction systems . . . . . . 1--13 S. Kilianová and D. Sevcovic A transformation method for solving the Hamilton--Jacobi--Bellman equation for a constrained dynamic stochastic optimal allocation problem . . . . . . . . . . . 14--38 Luis Alejandro Molano Molano On Laguerre--Sobolev type orthogonal polynomials: zeros and electrostatic interpretation . . . . . . . . . . . . . 39--54 Paul F. Slade Some inequalities for theoretical spatial ecology . . . . . . . . . . . . 55--68 M. M. Khader A new formula for Adomian polynomials and the analysis of its truncated series solution for fractional non-differentiable initial value problems . . . . . . . . . . . . . . . . 69--92 Anonymous ANZ volume 55 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b6 Anonymous ANZ volume 55 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2
Jack D. Hywood and Kerry A. Landman Biased random walks, partial differential equations and update schemes . . . . . . . . . . . . . . . . 93--108 B. L. Robertson and C. J. Price and M. Reale A CARTOPT method for bound-constrained global optimization . . . . . . . . . . 109--128 Zhuo Jin and George Yin An optimal dividend policy with delayed capital injections . . . . . . . . . . . 129--150 Jörg Frauendiener and Ralf Peter Blow-up of the nonequivariant $ (2 + 1)$-dimensional wave map . . . . . . . . 151--161 Mohammad Asif and Emad Ali and Abdelhamid Ajbar On the existence of chaotic behaviour in pure and simple microbial competition: the role of Contois kinetics . . . . . . 162--174 Harpreet Dhillon and B. N. Mandal Three-dimensional wave-free potentials in the theory of water waves . . . . . . 175--195 Anonymous ANZ volume 55 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 55 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b11
G. R. Willmott and B. G. Smith Modelling of resistive pulse sensing: flexible methods for submicron particles 197--213 E. Karaoglu and H. Merdan Hopf bifurcation analysis for a ratio-dependent predator--prey system involving two delays . . . . . . . . . . 214--231 Lawrence K. Forbes and Michael A. Brideson Exact solutions for interfacial outflows with straining . . . . . . . . . . . . . 232--244 Deepjyoti Goswami and Amiya K. Pani and Sangita Yadav Optimal $ L^2 $ estimates for the semidiscrete Galerkin method applied to parabolic integro-differential equations with nonsmooth data . . . . . . . . . . 245--266 S. R. Manam and R. B. Kaligatla Membrane-coupled gravity wave scattering by a vertical barrier with a gap . . . . 267--288 Hsi-Yue Hsiao and Chih-Yao Hsieh and Xi Chen and Yongyi Gong and Xiaonan Luo and Guojun Liao New development of nonrigid registration 289--297 Anonymous ANZ volume 55 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 55 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
Francisco J. Aragón Artacho and Jonathan M. Borwein and Matthew K. Tam Douglas--Rachford Feasibility Methods for Matrix Completion Problems . . . . . 299--326 G. C. Hocking and H. Zhang A note on axisymmetric supercritical coning in a porous medium . . . . . . . 327--335 Kasbawati and A. Y. Gunawan and R. Hertadi and K. A. Sidarto Effects of time delay on the dynamics of a kinetic model of a microbial fermentation process . . . . . . . . . . 336--356 M. H. Eggar On the organization of round robin tournaments with constraints . . . . . . 357--361 Li-Wei Zhang A closed-form pricing formula for variance swaps with mean-reverting Gaussian volatility . . . . . . . . . . 362--382 E. I. Saad Motion of a slip sphere in a nonconcentric fictitious spherical envelope of micropolar fluid . . . . . . 383--401 Anonymous ANZ volume 55 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 55 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
Sanae Rujivan and Song-Ping Zhu A simple closed-form formula for pricing discretely-sampled variance swaps under the Heston model . . . . . . . . . . . . 1--27 Lawrence K. Forbes On turbulence modelling and the transition from laminar to turbulent flow . . . . . . . . . . . . . . . . . . 28--47 M. A. Mehrpouya and M. Shamsi and M. Razzaghi A combined adaptive control parametrization and homotopy continuation technique for the numerical solution of bang-bang optimal control problems . . . . . . . . . . . . . . . . 48--65 Xiaoqing Liang and Lihua Bai and Junyi Guo Optimal time-consistent portfolio and contribution selection for defined benefit pension schemes under mean-variance criterion . . . . . . . . 66--90 S. F. Tantawy Solving a special class of multiple objective linear fractional programming problems . . . . . . . . . . . . . . . . 91--103 Anonymous ANZ volume 56 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 56 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
P. D. Jarvis and J. G. Sumner Adventures in invariant theory . . . . . 105--115 Le Jiang and Jin Huang and Jun Liu and Xiao-Guang Lv A combined first-order and second-order variation approach for multiplicative noise removal . . . . . . . . . . . . . 116--137 Yanqing Liu and Fei Liu Feedback predictive control of nonhomogeneous Markov jump systems with nonsymmetric constraints . . . . . . . . 138--149 G. C. Hocking and L. K. Forbes and T. E. Stokes A note on steady flow into a submerged point sink . . . . . . . . . . . . . . . 150--159 Jueyou Li and Changzhi Wu and Zhiyou Wu and Qiang Long and Xiangyu Wang Distributed proximal-gradient method for convex optimization with inequality constraints . . . . . . . . . . . . . . 160--178 Alireza Nazemi and Neda Mahmoudy Solving infinite-horizon optimal control problems using the Haar wavelet collocation method . . . . . . . . . . . 179--191 Yinwei Lin and Tzon-Tzer Lu and Cha'o-Kuang Chen Large interval solution of the Emden--Fowler equation using a modified Adomian decomposition method with an integrating factor . . . . . . . . . . . 192--208 Anonymous ANZ volume 56 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 56 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
H. Dattu and M. Subbiah A note on the stability of swirling flows with radius-dependent density with respect to infinitesimal azimuthal disturbances . . . . . . . . . . . . . . 209--232 Rhys A. Paul and Lawrence K. Forbes Travelling waves and oscillations in Sal'nikov's combustion reaction in a compressible gas . . . . . . . . . . . . 233--247 Srikumar Panda and S. C. Martha and A. Chakrabarti Three-layer fluid flow over a small obstruction on the bottom of a channel 248--274 I. A. Korostil and S. R. Clarke Fourth-order numerical methods for the coupled Korteweg--de Vries equations . . 275--285 Rumpa Chakraborty and B. N. Mandal Oblique wave scattering by a rectangular submarine trench . . . . . . . . . . . . 286--298 Yu Chen and Zhong Wan A locally smoothing method for mathematical programs with complementarity constraints . . . . . . 299--315 Anonymous ANZ volume 56 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 56 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
Lawrence K. Forbes and Rhys A. Paul and Michael J. Chen and David E. Horsley Kelvin--Helmholtz creeping flow at the interface between two viscous fluids . . 317--358 Pavel V. Shevchenko Holder-extendible European option: corrections and extensions . . . . . . . 359--372 S. Woodcock and B. Manojlovic and M. E. Baird and P. J. Ralph A Poisson--Pareto model of chlorophyll --- a fluorescence signals in marine environments . . . . . . . . . . . . . . 373--380 S. S. Singh Transmission of elastic waves in anisotropic nematic elastomers . . . . . 381--396 Rubayyi T. Alqahtani and Mark I. Nelson and Annette L. Worthy A biological treatment of industrial wastewaters: Contois kinetics . . . . . 397--415 Anonymous ANZ volume 56 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 56 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
Barry J. Cox and Shaun C. Hendy Editorial: modelling approach to nanoscale science and technology . . . . 1--2 R. Winkler and U. Zülicke Discrete symmetries of low-dimensional Dirac models: a selective review with a focus on condensed-matter realizations 3--17 D. Baowan Penetration of spherical gold nanoparticle into a lipid bilayer . . . 18--28 Richard K. F. Lee and James M. Hill Design of a nanotori-metallofullerene logic gate . . . . . . . . . . . . . . . 29--42 Wei-Xian Lim and Aaron W. Thornton Analytical representations of regular-shaped nanostructures for gas storage applications . . . . . . . . . . 43--61 N. Thamwattana Modelling ion, water and ion-water cluster entering peptide nanotubes . . . 62--78 Xingyou (Philip) Zhang and Nat J. Lund and Shaun C. Hendy Effective slip length: some analytical and numerical results . . . . . . . . . 79--88 Anonymous ANZ volume 57 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 57 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b10
L. K. Forbes Transition to turbulence from plane Couette flow . . . . . . . . . . . . . . 89--113 Miao Li and Yong Zhang and Hong Zhang and Hong Guan Numerical stability and accuracy of the scaled boundary finite element method in engineering applications . . . . . . . . 114--137 B. Van Brunt and S. Gul and G. C. Wake A cell growth model adapted for the minimum cell size division . . . . . . . 138--149 Paolo Amore Heterogeneous systems in $d$ dimensions: lower spectrum . . . . . . . . . . . . . 150--165 H. Charkhgard and M. Savelsbergh Efficient algorithms for travelling salesman problems arising in warehouse order picking . . . . . . . . . . . . . 166--174 Neville D. Fowkes and Andrew P. Bassom Batch processing in a glass furnace . . 175--188 S. Saha and S. N. Bora Effects of surface tension on trapped modes in a two-layer fluid . . . . . . . 189--203 Anonymous ANZ volume 57 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 57 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
Song-Ping Zhu and Alexander Novikov Editorial: stochastic and computational methods in finance . . . . . . . . . . . 205--206 X. Yang and J. Liang and Y. Wu CPDO with finite termination: maximal return under cash-in and cash-out conditions . . . . . . . . . . . . . . . 207--221 Joanna Goard Approximate solutions for the British put option and its optimal exercise boundary . . . . . . . . . . . . . . . . 222--243 Sanae Rujivan A novel analytical approach for pricing discretely sampled gamma swaps in the Heston model . . . . . . . . . . . . . . 244--268 Nhat-Tan Le and Xiaoping Lu and Song-Ping Zhu An analytical solution for Parisian up-and-in calls . . . . . . . . . . . . 269--279 Yongzeng Lai and Haixiang Yao Simulation of multi-asset option Greeks under a special Lévy model by Malliavin calculus . . . . . . . . . . . . . . . . 280--298 Scott Alexander and Alexander Novikov and Nino Kordzakhia Bounds on prices for Asian options via Fourier methods . . . . . . . . . . . . 299--318 T. G. Ling and P. V. Shevchenko Historical backtesting of local volatility model using AUD/usd vanilla options . . . . . . . . . . . . . . . . 319--338 J. Hinz and N. Yap Solutions and diagnostics of switching problems with linear state dynamics . . 339--351 Huiming Zhu and Ya Huang and Jieming Zhou and Xiangqun Yang and Chao Deng Optimal proportional reinsurance and investment problem with constraints on risk control in a general jump-diffusion financial market . . . . . . . . . . . . 352--368 J. Maisano and A. Radchik and T. Ling A lognormal model for demand forecasting in the national electricity market . . . 369--383 Anonymous ANZ volume 57 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 57 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b7
C. Zoppou and S. G. Roberts and J. Pitt A solution of the conservation law form of the Serre equations . . . . . . . . . 385--394 Jason M. Cosgrove and Lawrence K. Forbes The formation of large-amplitude fingers in atmospheric vortices . . . . . . . . 395--416 G. C. Hocking and H. H. N. Nguyen and L. K. Forbes and T. E. Stokes The effect of surface tension on free-surface flow induced by a point sink . . . . . . . . . . . . . . . . . . 417--428 K. McCulloch and M. G. Roberts and C. R. Laing Exact analytical expressions for the final epidemic size of an SIR model on small networks . . . . . . . . . . . . . 429--444 Canan Çelik and Gökçen Çekiç Bifurcation analysis of a logistic predator--prey system with delay . . . . 445--460 Marziyeh Mortezaee and Alireza Nazemi A wavelet collocation scheme for solving some optimal path planning problems . . 461--481 Qian Zhang and Jinliang Yan and Zhiyue Zhang High-order upwind finite volume element method for first-order hyperbolic optimal control problems . . . . . . . . 482--498 Anonymous ANZ volume 57 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 57 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b8
R. S. Anderssen and A. R. Davies and F. R. de Hoog and R. J. Loy Simple joint inversion localized formulae for relaxation spectrum recovery . . . . . . . . . . . . . . . . 1--9 Amie Albrecht and Phil Howlett and Peter Pudney The cost--time curve for an optimal train journey on level track . . . . . . 10--32 Nicolas Van Goethem Direct expression of incompatibility in curvilinear systems . . . . . . . . . . 33--50 S. Berres and A. Coronel and R. Lagos and M. Sepúlveda Performance of a real coded genetic algorithm for the calibration of scalar conservation laws . . . . . . . . . . . 51--77 J. M. Casas and M. Ladra and B. A. Omirov and R. Turdibaev On the algebraic properties of the human ABO-blood group inheritance pattern . . 78--95 Akbar Zaman and Nasir Ali and O. Anwar Beg and M. Sajid Unsteady two-layered blood flow through a w-shaped stenosed artery using the generalized Oldroyd-B fluid model . . . 96--118 Anonymous ANZ volume 58 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 58 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b4
J. Boland and P. Howlett and J. Piantadosi and R. Zakaria Modelling and simulation of volumetric rainfall for a catchment in the Murray--Darling basin . . . . . . . . . 119--142 Suma Debsarma and K. P. Das Current-modified evolution equation for a broader bandwidth capillary-gravity wave packet . . . . . . . . . . . . . . 143--161 Zhiqin Ming and Zhibin Liang and Caibin Zhang Optimal mean-variance reinsurance with common shock dependence . . . . . . . . 162--181 Moawia Alghalith A note on a new approach to both price and volatility jumps: an application to the portfolio model . . . . . . . . . . 182--186 Xingran Chen and Yongmei Liu and Zhong Wan Optimal decision making for online and offline retailers under BOPS mode . . . 187--208 Anonymous ANZ volume 58 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 58 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b8
Phil Broadbridge and Mark Nelson and Justin Wang Editorial: mathematical methods for applications . . . . . . . . . . . . . . 209--210 Sen Wang and Qingxiang Fang and Jun-E Feng An alternative method of concept learning . . . . . . . . . . . . . . . . 211--219 Xue-Mei Dong Learning gradients from nonidentical data . . . . . . . . . . . . . . . . . . 220--230 Cheng Wang and Feilong Cao A study on the error of distributed algorithms for big data classification with SVM . . . . . . . . . . . . . . . . 231--237 Zhixiang Chen and Feilong Cao Approximation by spherical neural networks with zonal functions . . . . . 238--246 Yi Shen and Bin Han and Elena Braverman Image inpainting from partial noisy data by directional complex tight framelets 247--255 Jianwei Yang and Liang Zhang and Zhengda Lu The Mellin central projection transform 256--264 Tai-He Fan and Meng-Ke Bian Characterizations of the Borel $ \sigma $-fields of the fuzzy number space . . . 265--275 D. Pei and Y. Zhu New generalized $h$-implications . . . . 276--286 Xiaolong Chen and Xiangbo Meng and Xiaoshi Song and Chun Shan Coverage performance of cognitive radio networks powered by renewable energy . . 287--305 J. M. Dong and X. S. Wang and L. L. Wang and J. L. Hu Parallel machine scheduling with job delivery coordination . . . . . . . . . 306--313 Yiwei Jiang and Ping Zhou and Huijuan Wang and Jueliang Hu Scheduling on two parallel machines with two dedicated servers . . . . . . . . . 314--323 Q. Fang and J. Peng Pinning synchronization of fractional-order complex networks by a single controller . . . . . . . . . . . 324--332 Longshu Wu and Qin Wang and Xiaobing Yang Computational methods for logistics problems related to optimal trees . . . 333--341 Qin Wang and Longshu Wu Network design for minimum spanning trees under Hamming distance . . . . . . 342--349 Fengwei Li and Qingfang Ye and Xiaoyan Zhang Isolated scattering number of split graphs and graph products . . . . . . . 350--358 Zhinan Xia Dynamics of pseudo almost periodic solution for impulsive neoclassical growth model . . . . . . . . . . . . . . 359--367 Shuguang Han and Jueliang Hu and Diwei Zhou Competitive analysis of interrelated price online inventory problems with demands . . . . . . . . . . . . . . . . 368--378 N. Ishimura and N. Yoshida On the convergence of discrete processes with multiple independent variables . . 379--385 Xiangxing Tao and Yafeng Shi On multi-asset spread option pricing in a Wick--Itô--Skorohod integral framework 386--396
Lawrence K. Forbes and Michael A. Brideson On modelling the transition to turbulence in pipe flow . . . . . . . . 1--34 Neville Fowkes and Steve Durkin and Andrew P. Bassom Truck safety barriers for mining sites 35--50 A. B. Hogan and K. Glass and R. S. Anderssen Complex demodulation: a novel time series method for analysing seasonal infectious diseases . . . . . . . . . . 51--60 Kim Ngan Le and William Mclean and Bishnu Lamichhane Finite element approximation of a time-fractional diffusion problem for a domain with a re-entrant corner . . . . 61--82 Jian-Peng Cao and Yan-Bing Fang An analytical approach for variance swaps with an Ornstein--Uhlenbeck process . . . . . . . . . . . . . . . . 83--102 Dipankar Chowdhury and Suma Debsarma Fifth-order evolution equation of gravity-capillary waves . . . . . . . . 103--114 K. Mohamed and A. Mehdi and M. Abdelkader An iterative model order reduction method for large-scale dynamical systems 115--133 Anonymous ANZ volume 59 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 59 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
Mark Ian Nelson and Peter Hagedoorn and Annette L. Worthy The demon drink . . . . . . . . . . . . 135--154 J. Promrak and G. C. Wake and C. Rattanakul Predator--prey model with age structure 155--166 H. Y. Alfifi Semi-analytical solutions for the Brusselator reaction--diffusion model 167--182 X. C. Zeng and I. Guo and S. P. Zhu Pricing European options on regime-switching assets: a comparative study of Monte Carlo and finite-difference approaches . . . . . . 183--199 Paolo Amore and John P. Boyd and Francisco M. Fernández and Martin Jacobo and Petr Zhevandrov Bound states in weakly deformed waveguides: numerical versus analytical results . . . . . . . . . . . . . . . . 200--214 C. J. Price A direct search quasi-Newton method for nonsmooth unconstrained optimization . . 215--231 B. P. Lamichhane A new minimization principle for the Poisson equation leading to a flexible finite element approach . . . . . . . . 232--239 Jeremy G. Sumner Multiplicatively closed Markov models must form Lie algebras . . . . . . . . . 240--246 Yinxue Li and Zhong Wan and Jingjing Liu Bi-level programming approach to optimal strategy for vendor-managed inventory problems under random demand . . . . . . 247--270 D. S. Maioli and C. Lavor and D. S. Gonçalves A note on computing the intersection of spheres in $ \mathbb {R}^n $ . . . . . . 271--279 Anonymous ANZ volume 59 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 59 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b9
D. E. Farrow and G. C. Hocking and S. J. Cringle and D.-Y. Yu Modelling hydrogen clearance from the retina . . . . . . . . . . . . . . . . . 281--292 B. Van Brunt and A. Almalki and T. Lynch and A. Zaidi On a cell division equation with a linear growth rate . . . . . . . . . . . 293--312 Hammad Alotaibi and Barry Cox and A. J. Roberts Couple microscale periodic patches to simulate macroscale emergent dynamics 313--334 J. M. Hill and Y. M. Stokes A note on Navier--Stokes equations with nonorthogonal coordinates . . . . . . . 335--348 Ziwie Ke and Joanna Goard and Song-Ping Zhu An appropriate approach to pricing European-style options with the Adomian decomposition method . . . . . . . . . . 349--369 Rashmi Agrawal and Debaldev Jana and Ranjit Kumar Upadhyay and V. Sree Hari Rao Dynamic relationship between the mutual interference and gestation delays of a hybrid tritrophic food chain model . . . 370--401 Quanbing Luo and Dong Liang and Ting Ren and Jian Zhang Calculation of critical parameters for spontaneous combustion for some complex geometries using an indirect numerical method . . . . . . . . . . . . . . . . . 402--412 Anonymous ANZ volume 59 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 59 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
Rosemary J. Dyson and J. Edward F. Green Editorial: mechanics in biology . . . . 413--415 David J. Smith Biological fluid mechanics under the microscope: a tribute to John Blake . . 416--442 D. A. Gagnon and T. D. Montenegro-Johnson Thrifty swimming with shear-thinning: a note on out-of-plane effects for undulatory locomotion through shear-thinning fluids . . . . . . . . . 443--454 R. J. Clarke Photofocusing of microorganisms swimming in a flow with shear . . . . . . . . . . 455--471 Calina A. Copos and Robert D. Guy A porous viscoelastic model for the cell cytoskeleton . . . . . . . . . . . . . . 472--498 E. C. Holden and J. Collis and B. S. Brook and R. D. O'Dea A multiphase multiscale model for nutrient limited tissue growth . . . . . 499--532 N. C. Ovenden and F. T. Smith Nonsymmetric branching of fluid flows in $3$D vessels . . . . . . . . . . . . . . 533--561 A. R. Clark and M. H. Tawhai Temporal and spatial heterogeneity in pulmonary perfusion: a mathematical model to predict interactions between macro- and micro-vessels in health and disease . . . . . . . . . . . . . . . . 562--580 A. Erlich and R. Howell and A. Goriely and R. Chirat and D. E. Moulton Mechanical feedback in seashell growth and form . . . . . . . . . . . . . . . . 581--606 Anonymous ANZ volume 59 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 59 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b8
Lloyd N. Trefethen Series solution of Laplace problems . . 1--26 Serena Dipierro and Luca Lombardini and Pietro Miraglio and Enrico Valdinoci The Phillip Island penguin parade (a mathematical treatment) . . . . . . . . 27--54 J. Falletta and S. Woodcock A simulation study of Texas hold 'em poker: what Taylor Swift understands and James Bond doesn't . . . . . . . . . . . 55--64 R. Mallier and J. Goard Integral equation formulation for shout options . . . . . . . . . . . . . . . . 65--85 C. E. Athanasiadis and E. S. Athanasiadou and S. Dimitroula Reciprocity relations for a conductive scatterer with a chiral core in quasi-static form . . . . . . . . . . . 86--94 L. Li and G. Q. Wang and J. L. Zhang On the $ o(1 / k) $ convergence rate of the alternating direction method of multipliers in a complex domain . . . . 95--117 Sumana Kundu and Suma Debsarma and K. P. Das Effect of uniform wind flow on modulational instability of two crossing waves over finite depth water . . . . . 118--136 Anonymous ANZ volume 60 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 60 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b10
Phil Howlett The two-train separation problem on level track with discrete control . . . 137--174 Wenting Chen and Sha Lin Option pricing under the KOBOL model . . 175--190 Mark I. Nelson and Rubayyi T. Alqahtani and Faisal I. Hai Mathematical modelling of the removal of organic micropollutants in the activated sludge process: a linear biodegradation model . . . . . . . . . . . . . . . . . 191--229 T. Zhan and S. P. Ma The controller design for singular fractional-order systems with fractional order $ 0 < \alpha < 1 $ . . . . . . . . . 230--248 S. Panda and K. K. Patra and M. Sellier Free-surface dynamics of thin second-grade fluid over an unsteady stretching sheet . . . . . . . . . . . . 249--268 Anonymous ANZ volume 60 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 60 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Brendan Harding A Rayleigh--Ritz method for Navier--Stokes flow through curved ducts 1--22 Bishnu P. Lamichhane and Scott B. Lindstrom and Brailey Sims Application of projection algorithms to differential equations: boundary value problems . . . . . . . . . . . . . . . . 23--46 M. Sivanesan and S. R. Manam Water wave scattering by a vertical porous barrier with two gaps . . . . . . 47--63 Hadi Charkhgard and Ali Eshragh A new approach to select the best subset of predictors in linear regression modelling: bi-objective mixed integer linear programming . . . . . . . . . . . 64--75 Ting Li and Zhong Wan New adaptive Barzilai--Borwein step size and its application in solving large-scale optimization problems . . . 76--98 L. Li and H. Mi Optimal investment and consumption with stochastic factor and delay . . . . . . 99--117 Anonymous ANZ volume 61 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 61 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
Emma J. Allwright and L. K. Forbes and S. J. Walters Axisymmetric plumes in viscous fluids 119--147 Balázs Sándor and Péter Torma and K. Gábor Szabó and Hong Zhang On the topography-driven vorticity production in shallow lakes . . . . . . 148--160 L. R. Amaral and A. Papanicolaou Price impact of large orders using Hawkes processes . . . . . . . . . . . . 161--194 Z. Aminifard and S. Babaie-Kafaki Matrix analyses on the Dai--Liao conjugate gradient method . . . . . . . 195--203 Jin Cui and Wenjun Cai and Chaolong Jiang and Yushun Wang A new linear and conservative finite difference scheme for the Gross--Pitaevskii equation with angular momentum rotation . . . . . . . . . . . 204--232 S. Debsarma and D. Chowdhury Evolution of a pair of random inhomogeneous wave systems over infinite-depth water . . . . . . . . . . 233--247 Anonymous ANZ volume 61 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 61 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
S. Al-Ali and G. C. Hocking and D. E. Farrow Critical surface coning due to a line sink in a vertical drain containing a porous medium . . . . . . . . . . . . . 249--269 Russell A. Edson and J. E. Bunder and Trent W. Mattner and A. J. Roberts Lyapunov exponents of the Kuramoto--Sivashinsky PDE . . . . . . . 270--285 S. J. Walters and L. K. Forbes Fully $3$D Rayleigh--Taylor instability in a Boussinesq fluid . . . . . . . . . 286--304 Cristian-Paul Danet Existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem . . . 305--319 Peter S. Stewart and Alexander J. E. Foss Self-excited oscillations in a collapsible channel with applications to retinal venous pulsation . . . . . . . . 320--348 Anonymous ANZ volume 61 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 61 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
M. Fackrell and C. Li and P. G. Taylor and J. Wang The value of communication and cooperation when servers are strategic 349--367 E. C. Holden and S. J. Chapman and B. S. Brook and R. D. O'Dea A multiphase multiscale model for nutrient-limited tissue growth, Part II: a simplified description . . . . . . . . 368--381 S. N. I. Ibrahim and A. DÍAz-HernÁNdez and J. G. O'Hara and N. Constantinou Pricing holder-extendable call options with mean-reverting stochastic volatility . . . . . . . . . . . . . . . 382--397 Sudi Mungkasi and Stephen Gwyn Roberts Numerical entropy production as smoothness indicator for shallow water equations . . . . . . . . . . . . . . . 398--415 R. J. Loy and R. S. Anderssen Approximation of and by completely monotone functions . . . . . . . . . . . 416--430 Xin-Jiang He and Sha Lin A semi-analytical pricing formula for European options under the rough Heston--CIR model . . . . . . . . . . . 431--445 Anonymous ANZ volume 61 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 61 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b9
Andrew Bassom and Graeme Hocking Editorial . . . . . . . . . . . . . . . 1--2 Matthew J. Simpson Critical length for the spreading-vanishing dichotomy in higher dimensions . . . . . . . . . . . . . . . 3--17 Tui H. Nolan and Matt P. Wand Streamlined solutions to multilevel sparse matrix problems . . . . . . . . . 18--41 Q. Wang and Z. Zhang A modified immersed finite volume element method for elliptic interface problems . . . . . . . . . . . . . . . . 42--61 Ying Ouyang and Zhaoman Wan and Zhong Wan Game model for online and offline retailers under buy-online and pick-up-in-store mode with delivery cost and random demand . . . . . . . . . . . 62--88 Gopinath Panda and Veena Goswami Strategic customers in Markovian queues with vacations and synchronized abandonment . . . . . . . . . . . . . . 89--120 Anonymous ANZ volume 62 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 62 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
William Mclean Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems . . . . . 121--147 Amie Albrecht and Konstantin Avrachenkov and Phil Howlett and Geetika Verma Evolutionary dynamics in discrete time for the perturbed positive definite replicator equation . . . . . . . . . . 148--184 Haijiao Li and Kuan Yang Asymptotic behaviour of the stochastic Maki--Thompson model with a forgetting mechanism on open populations . . . . . 185--208 Mei Choi Chiu Mean-variance equilibrium asset-liability management strategy with cointegrated assets . . . . . . . . . . 209--234 Anonymous ANZ volume 62 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 62 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b8
S. Marsland and R. I. Mclachlan and M. Y. Tufail Conformal image registration based on constrained optimization . . . . . . . . 235--255 J. L. Yan and L. H. Zheng and L. Zhu and F. Q. Lu Linearly implicit energy-preserving Fourier pseudospectral schemes for the complex modified Korteweg--de Vries equation . . . . . . . . . . . . . . . . 256--273 Phil Howlett and Anatoli Torokhti An optimal linear filter for estimation of random functions in Hilbert space . . 274--301 A. Y. Ivanitskiy and V. V. Ejov and F. P. Vasilyev Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data . . . . . . . . . . . . . . . . . . 302--317 Diny Zulkarnaen and Marianito R. Rodrigo Modelling human carrying capacity as a function of food availability . . . . . 318--333 K. G. Sirinanda and M. Brazil and P. A. Grossman and J. H. Rubinstein and D. A. Thomas Optimal location of an underground connector using discounted Steiner tree theory . . . . . . . . . . . . . . . . . 334--351 Anonymous ANZ volume 62 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 62 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
Mark I. Nelson and Rodney O. Weber Editorial: special issue celebrating the achievements of Professor G. C. Wake . . 353--354 P. D. Howell and H. Ockendon and J. R. Ockendon Draping woven sheets . . . . . . . . . . 355--385 Graham Weir and George Chisholm and Jerome Leveneur The magnetic field about a three-dimensional block neodymium magnet 386--405 L. J. Fradkin and A. K. Djakou and C. Prior and M. Darmon and S. Chatillon and P.-F. Calmon The alternative Kirchhoff approximation in elastodynamics with applications in ultrasonic nondestructive testing . . . 406--422 S. D. Watt and Z. Huang and H. S. Sidhu and A. C. Mcintosh and J. Brindley One-dimensional chaotic laminar flow with competitive exothermic and endothermic reactions . . . . . . . . . 423--445 J. F. Harper Asymptotics of a Gauss hypergeometric function with two large parameters: a new case . . . . . . . . . . . . . . . . 446--452 Andrei Korobeinikov and Elena Shchepakina and Vladimir Sobolev The paradox of enrichment, spatial heterogeneity, community effects and the phenomenon of apparent disappearance in the marine bacteriophage dynamics . . . 453--468 Stephen Taylor and Xueshan Yang Estimates for approximate solutions to a functional differential equation model of cell division . . . . . . . . . . . . 469--488 M. Mohsin and A. A. Zaidi On existence and uniqueness of solutions to a pantograph type equation . . . . . 489--512 Anonymous ANZ volume 62 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 62 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
S. Iyaniwura and M. J. Ward Asymptotic analysis for the mean first passage time in finite or spatially periodic 2d domains with a cluster of small traps . . . . . . . . . . . . . . 1--22 David Galloway and David Ivers Slow-burning instabilities of Dufort--Frankel finite differencing . . 23--38 Zuoxun Li and Kai Zhang Stochastic model predictive control for spacecraft rendezvous and docking via a distributionally robust optimization approach . . . . . . . . . . . . . . . . 39--57 B. F. Akers and D. M. Ambrose Efficient computation of coordinate-free models of flame fronts . . . . . . . . . 58--69 A. A. Zaidi and B. Van Brunt Asymmetrical cell division with exponential growth . . . . . . . . . . . 70--83 A. S. Maulana and S. R. Pudjaprasetya Analysis of cell transmission model for traffic flow simulation with application to network traffic . . . . . . . . . . . 84--99 Anonymous Anz volume 63 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous Anz volume 63 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Song-Ping Zhu and Xiaoping Lu and Xin-Jiang He Editorial: special issue on financial mathematics and quantitative finance . . 101--103 Masaaki Fukasawa and Hitomi Maeda and Jun Sekine On optimal thresholds for pairs trading in a one-dimensional diffusion model . . 104--122 Y. Han and Z. Li and C. Liu Option pricing under the fractional stochastic volatility model . . . . . . 123--142 Xin-Jiang He and Sha Lin An analytical approximation formula for the pricing of credit default swaps with regime switching . . . . . . . . . . . . 143--162 Xiaoping Lu and Endah R. M. Putri Finite maturity American-style stock loans with regime-switching volatility 163--177 P. Nonsoong and K. Mekchay and S. Rujivan An analytical option pricing formula for mean-reverting asset with time-dependent parameter . . . . . . . . . . . . . . . 178--202 N. Thakoor Localized radial basis functions for no-arbitrage pricing of options under stochastic alpha-beta-rho dynamics . . . 203--227 Geraldine Tour and Nawdha Thakoor and DÉSirÉ Yannick Tangman Spectrally accurate option pricing under the time-fractional Black--Scholes model 228--248 Xuhui Wang and Sheng-Jhih Wu and Xingye Yue Pricing timer options: second-order multiscale stochastic volatility asymptotics . . . . . . . . . . . . . . 249--267 Anonymous Anz volume 63 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous Anz volume 63 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Liam C. Morrow and Timothy J. Moroney and Michael C. Dallaston and Scott W. Mccue A review of one-phase Hele--Shaw flows and a level-set method for nonstandard configurations . . . . . . . . . . . . . 269--307 Caibin Zhang and Zhibin Liang and Kam Chuen Yuen Optimal portfolio and consumption for a Markovian regime-switching jump-diffusion process . . . . . . . . . 308--332 Alexander E. Patkowski A note on the axisymmetric diffusion equation . . . . . . . . . . . . . . . . 333--341 J. Jena and S. Mittal Interaction of a singular surface with a strong shock in the interstellar gas clouds . . . . . . . . . . . . . . . . . 342--358 R. Mijiddorj and T. Zhanlav Algorithm to construct integro splines 359--375 Anonymous Anz volume 63 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous Anz volume 63 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Lawrence K. Forbes and Stephen J. Walters and Graeme C. Hocking Ideal planar fluid flow over a submerged obstacle: review and extension . . . . . 377--419 Benjamin Maldon and Bishnu Prasad Lamichhane and Ngamta Thamwattana Numerical solutions to a fractional diffusion equation used in modelling dye-sensitized solar cells . . . . . . . 420--433 D. Ndisabiye and E. K. Waters and R. Gore and H. Sidhu Do poor environmental conditions drive trachoma transmission in Burundi? A mathematical modelling study . . . . . . 434--447 Marianito R. Rodrigo Bounds on the critical times for the general Fisher--KPP equation . . . . . . 448--468 P. Assari and F. Asadi-Mehregan and M. Dehghan A meshless local Galerkin integral equation method for solving a type of Darboux problems based on radial basis functions . . . . . . . . . . . . . . . 469--492 Anonymous Index . . . . . . . . . . . . . . . . . 493--494 Anonymous Anz volume 63 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous Anz volume 63 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
W. F. Mansoor and G. C. Hocking and D. E. Farrow Dispersal of hydrogen in the retina -- a three-layer model . . . . . . . . . . . 1--22 C. Celik and K. Degerli Hopf bifurcation analysis of a fractional-order Holling--Tanner predator-prey model with time delay . . 23--39 M. Farhane and O. Alehyane and O. Souhar Three-dimensional analytical solution of the advection--diffusion equation for air pollution dispersion . . . . . . . . 40--53 Azam Asanjarani and Yoni Nazarathy Stationary Markovian arrival processes: results and open problems . . . . . . . 54--68 P. Ramazani and A. Abdi and G. Hojjati and A. Moradi Explicit Nordsieck second derivative general linear methods for ODEs . . . . 69--88 Anonymous ANZ volume 64 issue 1 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 64 issue 1 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Andrew P. Bassom Editorial . . . . . . . . . . . . . . . 89 Philip Broadbridge and Ravindi Nanayakkara and Andriy Olenko On multifractionality of spherical random fields with cosmological applications . . . . . . . . . . . . . . 90--118 Hadi Charkhgard and Kimia Keshanian and Rasul Esmaeilbeigi and Parisa Charkhgard The magic of Nash social welfare in optimization: do not sum, just multiply! 119--134 Joanna Goard An analytical approximation for convertible bonds . . . . . . . . . . . 135--148 Lawrence K. Forbes and Stephen J. Walters Fully 3d fluid outflow from a spherical source . . . . . . . . . . . . . . . . . 149--182 Ekta Jain and Kalpana Dahiya and Vanita Verma Branching technique for a bi-objective two-stage assignment problem . . . . . . 183--204 Anonymous ANZ volume 64 issue 2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 64 issue 2 cover and back matter . . . . . . . . . . . . . . . . . b1--b6
Bishnu P. Lamichhane and Jordan A. Shaw-Carmody A local projection stabilization for convection--diffusion--reaction equations using biorthogonal systems . . 205--226 Stephen J. Walters and Ross J. Turner and Lawrence K. Forbes A comparison of explicit Runge--Kutta methods . . . . . . . . . . . . . . . . 227--249 Xin-Jiang He and Sha Lin Volatility swaps valuation under a modified risk-neutralized Heston model with a stochastic long-run variance level . . . . . . . . . . . . . . . . . 250--263 A. Moradi and A. Abdi and G. Hojjati High order explicit second derivative methods with strong stability properties based on Taylor series conditions . . . 264--291 Sourav Halder and Asoke Kumar Dhar A modification to the Schrödinger equation for broader bandwidth gravity--capillary waves on deep water with depth-uniform current . . . . . . . 292--313 Anonymous ANZ volume 64 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 64 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
James M. Mccaw and Michael J. Plank The role of the mathematical sciences in supporting the COVID-19 response in Australia and New Zealand . . . . . . . 315--337 P. Broadbridge and J. Goard Exact solutions of hyperbolic reaction--diffusion equations in two dimensions . . . . . . . . . . . . . . . 338--354 Thien Tran-Duc and Michael H. Meylan and Ngamta Thamwattana Numerical simulations for largely deformed beams and rings adopting a nontensile smoothed particle hydrodynamics algorithm . . . . . . . . 355--379 Wenting Chen and Xiaoying Jiang An IMEX-based approach for the pricing of equity warrants under fractional Brownian motion models . . . . . . . . . 380--393 Leonid Shaikhet and Syed Abbas Novel stability conditions for some generalization of Nicholson's blowflies model with stochastic perturbations . . 394--405 Anonymous Index . . . . . . . . . . . . . . . . . 406--407 Anonymous ANZ volume 64 issue 4 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 64 issue 4 cover and back matter . . . . . . . . . . . . . . . . . b1--b5
Andrew P. Bassom and Michael H. Meylan Editorial: special issue in honour of Professor Graeme Hocking . . . . . . . . 1--2 Lawrence K. Forbes and Stephen J. Walters Couette flow over a heat island . . . . 3--28 N. D. Fowkes and D. P. Mason Double layered compressible masks . . . 29--54 D. P. Mason and N. D. Fowkes and R. M. Yemata and C. A Onyeagoziri and H. Yilmaz Wall stabilization in mines by spray-on liners . . . . . . . . . . . . . . . . . 55--78 S. L. Mitchell and T. G. Myers On the safe storage of bagasse . . . . . 79--92 A. C. Fowler and M. J. Mcguinness Bursting solutions of the Rössler equations . . . . . . . . . . . . . . . 93--110 Lata I. Paea and Sione Paea and Mark J. Mcguinness Modelling microwaves in bauxite . . . . 111--134 B. Maldon and Michael H. Meylan Flight limitations imposed on single rotor and coaxial helicopters by the lift equation . . . . . . . . . . . . . 135--154 Y. M. Stokes and W. L. Sweatman and G. C. Hocking An examination of the `Lanier wing' design . . . . . . . . . . . . . . . . . 155--177 H. Zhang and D. A. Barry and B. Seymour and G. Hocking Numerical analysis of apparatus-induced dispersion for density-dependent solute transport in porous media . . . . . . . 178--194 Anonymous ANZ volume 65 issue 1-2 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 65 issue 1-2 cover and back matter . . . . . . . . . . . . . . . . . b1--b8
Domenic P. J. Germano and Stephanie Khuu and Adrianne L. Jenner and James M. Osborne and Mary R. Myerscough and Mark B. Flegg Active remodelling of tissues to describe biphasic rheological responses 195--214 Wen-Hua Wang and Zheng-Li Chen and Wei Li The metric operators for pseudo-Hermitian Hamiltonian . . . . . . 215--228 Y. Han and X. Zheng Approximate pricing of derivatives under fractional stochastic volatility model 229--247 Tanmoy Pal and Asoke Kumar Dhar Nonlinear self-modulation of gravity-capillary waves on shear currents in finite depth . . . . . . . . 248--272 Mahmoud B. A. Mansour On modelling water quality with stochastic differential equations . . . 273--284 Anonymous ANZ volume 65 issue 3 cover and front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous ANZ volume 65 issue 3 cover and back matter . . . . . . . . . . . . . . . . . b1--b6