Research Reports

The School of Mathematics and Statistics at Canterbury University started a report series in November 1976, these reports were numbered from one onwards. Starting from 2000 we have adopted a new numbering system with the year of the paper followed by its number in that year e.g. 2000/1. We include a full research reports listing and below we list research reports available for download as PDFs. Paper copies may be able to be obtained from their respective authors, you will need to contact them directly.

2006

  • UCDMS 2006/1

    On a Conjecture of J.C. Butcher and H. Podhaisky
    I.D. Coope

    View the abstract [PDF - 50 KB]

2005

  • UCDMS 2005/8

    Estimation of errors associated with the calculation of carbon in Kyoto Forests
    Woollons, R.C., Brown, J.A., and Manley, B.R.

    View the report [PDF - 101 KB]

  • UCDMS 2005/7

    Estimating Uncertainty in the Kyoto Compliant Carbon Accounting System for New Zealand’s Planted Forests
    Brown, J.A., Woollons, R.C., and Manley, B.R.

    View the report [PDF - 78 KB]

  • UCDMS 2005/6

    Approximation and Spanning in the Hardy Space, by Affine Systems
    H.-Q. Bui and R.S. Laugesen

    View the abstract [PDF - 77 KB] or report [PDF - 320 KB]

  • UCDMS 2005/4

    Factoring bivariate distributions
    Frank Lad

    View the abstract or report [PDF - 1.50 MB]

2004

  • UCDMS 2004/13

    Extending the Limits of Supertree Methods
    Magnus Bordewich, Gareth Evans and Charles Semple

    View the abstract or report [PDF - 243 KB]

  • UCDMS 2004/12

    Constructive order completeness
    Marian Baroni

    View the abstract or report [PDF - 156 KB]

  • UCDMS 2004/11

    On the phi and psi transforms of Frazier and Jawerth
    H.-Q. Bui and M. Paluszynski

    View the abstract or report [PDF - 262 KB]

  • UCDMS 2004/6

    Embeddings of Beppo–Levi spaces in Hölder–Zygmund spaces and a new method for radial basis function interpolation error estimates
    R.K. Beatson, H.Q. Bui and J. Levesley

    View the abstract or report [PDF - 179 KB]

  • UCDMS 2004/3

    Exploiting problem structure in pattern–search methods for unconstrained optimization
    C.P. Price and P. Toint

    View the abstract or report [PDF - 199 KB]

2003

  • UCDMS 2003/21

    Reassessing Accuracy Rates from Median Decision Procedures
    Andrea Capotorti and Frank Lad

    View the abstract or report [PDF - 196 KB]

  • UCDMS 2003/19

    Mollification formulas and implicit smoothing
    R.K. Beatson and H.Q. Bui

    View the abstract or report [PDF - 2.4 MB]

  • UCDMS 2003/17

    Flood Frequency Analysis of the Waimakariri River
    Robert Ware and Frank Lad

    View the abstract or report [PDF - 520 KB]

  • UCDMS 2003/16

    Approximation of Posterior Means and Variances of the Digitised Normal Distribution using Continuous Normal Approximation
    Robert Ware and Frank Lad

    View the abstract or report [PDF - 564 KB]

  • UCDMS 2003/15

    Approximating the Distribution for Sums of Products of Normal Variables
    Robert Ware and Frank Lad

    View the abstract or report [PDF - 1.68 MB]

  • UCDMS 2003/10

    The structure of the 3–separations of 3–connected matroids
    J. Oxley, C. Semple and G. Whittle

    View the abstract or report [PDF - 312 KB]

  • UCDMS 2003/9

    Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel
    Britta Basse, Bruce C. Baguley, Elaine S. Marshall, Wayne R. Joseph, Bruce van Brunt, Graeme Wake, David J.N. Wall

    View the abstract or report [PDF - 297 KB]

  • UCDMS 2003/8

    On a cell–growth model for plankton
    B. Basse, G.C. Wake, D.J.N. Wall and B. Van Brunt

    View the abstract or report [PDF - 105 KB]

  • UCDMS 2003/7

    A Technical Note on the Logitnormal Distribution
    Patrizio Frederic and Frank Lad

    View the abstract or report [PDF - 4.75 MB]

  • UCDMS 2003/6

    Learning from the Probability Assertions of Experts
    Mario Di Bacco, Patrizio Frederic and Frank Lad

    View the abstract or report [PDF - 811 KB]

  • UCDMS 2003/5

    Probability: the language of the people! ... the language of science??
    Frank Lad

    View the abstract or report [PDF - 140 KB]

  • UCDMS 2003/4

    A phase transition for a random cluster model on phylogenetic tress
    E. Mossel and M. Steel

    View the abstract or report [PDF - 333 KB]

  • UCDMS 2003/3

    The Space of Edge-Weighted Trees is a Euclidean Cell for Trees With Exactly One Interior Vertex
    W. Baritompa

    View the abstract or report [PDF - 2.3 MB]

  • UCDMS 2003/1

    Performance of various BFGS and DFP implementations with limited precision 2nd order info
    D. Byatt, I.D. Coope and C.J. Price

    View the abstract

2002

  • UCDMS 2002/9

    Signal Resoration after Transmission thru an Advective and Diffusive Medium
    Paul R. Shorten and David J.N. Wall

    View the abstract or report [PDF - 344 KB]

  • UCDMS 2002/8

    A Mathematical Model for Analysis of the Cell Cycle in Human Tumors
    Britta Basse, Bruce C. Baguley, Elaine S. Marshall, Wayne R. Joseph, Bruce van Brunt, Graeme Wake and David J.N. Wall

    View the abstract or report [PDF - 904 KB]

  • UCDMS 2002/6

    Casual diagrams for structural VAR models
    Marco Reale and Granville Tunnicliffe Wilson

    View the abstract or report [PDF - 160 KB]

  • UCDMS 2002/3

    RBF Collocation
    C.T. Mouat and R.K. Beatson

    View the abstract or report [PDF - 780 KB]

2001

  • UCDMS 2001/6

    Some properties of the boundary over distance preconditioner for radial basis function interpolation
    C.T. Mouat and R.K. Beatson

    View the abstract or report [PDF - 1.09 MB]

  • UCDMS 2001/5

    Tree reconstruction from multi-state characters
    Charles Semple and Mike Steel

    View the abstract or report [PDF - 184 KB]

  • UCDMS 2001/4

    On matroids of branch-width three
    Rhiannon Hall, James Oxley, Charles Semple and Geoff Whittle

    View the abstract or report [PDF - 252 KB]

  • UCDMS 2001/2

    Strong Continuity Implies Uniform Sequential Continuity
    Douglas Bridges, Hajime Ishihara, Peter Schuster and Luminita Vîta

    View the abstract or report [PDF - 204 KB]

  • UCDMS 2001/1

    Developments in Multivariate Time Series Modeling
    Granville Tunnicliffe Wilson, Marco Reale and Alex S. Morton

    View the abstract or report [PDF - 352 KB]

2000

  • UCDMS 2000/17

    Trace Inequalities with Applications to Orthogonal Regression and Matrix Nearness Problems
    Ian Coope and Peter Renaud

    View the abstract or report [PDF - 104 KB]

  • UCDMS 2000/16

    Implies Regulated: A Constructive Proof
    Douglas Bridges and Ayan Mahalanobis

    View the abstract or report [PDF - 124 KB]

  • UCDMS 2000/15

    Apartness Spaces as a Framework for Constructive Topology
    Douglas Bridges and Luminita Vîta (Dediu)

    View the abstract or report [PDF - 192 KB]

  • UCDMS 2000/14

    A First-order Constructive Theory of Nearness Spaces
    Luminita Vîta (Dediu) and Douglas Bridges

    View the abstract or report [PDF - 204 KB]

  • UCDMS 2000/12

    Positive Bases in Numerical Optimization
    I.D. Coope and C.J. Price

    View the abstract or report [PDF - 92 KB]

  • UCDMS 2000/11

    A Simple Constructive Proof of Kronecker's Density Theorem
    Douglas Bridges

    View the report [PDF - 68 KB]

  • UCDMS 2000/10

    Implementing Pure Adaptive Search with Grover's Quantum Algorithm
    D. Bulger, W.P. Baritompa and G.R. Wood

    View the abstract or report [PDF - 164 KB]

  • UCDMS 2000/9

    Assessing the Value of a Second Opinion
    Frank Lad and Mario DiBacco

    View the abstract or report [PDF - 456 KB]

  • UCDMS 2000/6

    Residual trap-catch methodology for low-density possum populations (Part I - Improving the precision of possum population density estimates)
    J.A. Brown and M.D. Thomas

    View the report [PDF - 152 KB]

  • UCDMS 2000/5

    Possum monitoring using raised leg-hold traps
    Malcolm D. Thomas and Jennifer A. Brown

    View the abstract or report [PDF - 76 KB]

  • UCDMS 2000/4

    Identification of vector AR models with recursive structural errors using conditional independence graphs
    M. Reale and G.T. Wilson

    View the abstract or report [PDF - 184 KB]

  • UCDMS 2000/3

    The sampling properties of conditional independence graphs for structural vector autoregressions
    M. Reale and G.T. Wilson

    View the abstract or report [PDF - 88 KB]

Before 2000

  • 188

    A direct search conjugate directions algorithm for unconstrained minimization
    I.D. Coope and C.J. Price

    View the abstract or report [PDF - 248 KB]

  • 187

    A Hodgkin-Huxley model exhibiting bursting oscillations
    Paul R. Shorten and David J.N. Wall

    View the abstract or report [PDF - 480 KB]

  • 186

    The inward rectifier in a model of corticotroph electrical activity
    Paul R. Shorten, A. Bruce Robson, Alan E. McKinnon and David J.N. Wall

    View the abstract or report [PDF - 486 KB]

  • 185

    Electro-permeabilization of a prolate spheroidal model of biological cells
    David J.N. Wall, Andrew T. Shanks and Patrick Bodger

    View the abstract or report [PDF - 788 KB]

  • 180

    On the Convergence of Grid Based Methods for Unconstrained Optimization
    I.D. Coope and C.J. Price

    View the abstract or report [PDF -132 KB]

  • 178

    On the predictive use of insufficient statistics: an intriguing family of distributions
    Frank Lad and Romano Schozzafava

    View the abstract or report [PDF - 76 KB]

  • 173

    A Role of the Endoplasmic Reticulum in a Mathematical Model of Corticotroph Action Potentials.
    Paul R. Shorten, Andrew P. LeBeau, A. Bruce Robson, Alan E. McKinnon and David J.N. Wall

    View the abstract or report [PDF - 872 KB]

  • 95

    Using the Fundamental Theorem of Prevision to Identify Coherency Conditions for Finite Exchangeable Inference
    Frank Lad, John Deely and Andrea Piesse

    View the report [PDF - 2 MB]