Mathematics and Statistics

Research Reports

Published 2007

1. UCDMS2007/1 BORDEWICH M. and SEMPLE C.
   Nature Reserve Selection Problem: A Tight Approximation Algorithm
2. UCDMS2007/2 OXLEY J., SEMPLE C. and WHITTLE G.
   Maintaining 3-Connectivity Relative to a Fixed Basis
3. UCDMS2007/3 BORDEWICH M., McCARTIN C. and SEMPLE C.
   A 3-Approximation Algorithm for the Subtree Distance Between Phylogenies
4. UCDMS2007/4 CAPPELLI C., REA W. and REALE M.
   The Application of Regression Trees to Detecting Multiple Structural Breaks in the Mean of a Time Series
5. UCDMS2007/5 BORDEWICH M., SEMPLE C. and SPILLNER A.
   Optimizing Phylogenetic Diversity Across Two Trees
6. UCDMS2007/6 BORDEWICH M., RODRIGO A.G. and SEMPLE C.
   Selecting Taxa to Save or Sequence: Desirable Criteria and a Greedy Solution

Published 2006

1. UCDMS2006/1 COOPE I.D.
   On a Conjecture of J.C. Butcher and H. Podhaisky
2. UCDMS2006/2 BUI Q. and LAUGESEN R.S.
   Sobolev Spaces and Approximation by Affine Spanning Systems
3. UCDMS2006/3 SEMPLE C.
   Hybridization Networks
4. UCDMS2006/4 LINZ S., St JOHN K. and SEMPLE C.
   Experimental and Theoretical Analysis of Hybridization
5. UCDMS2006/5 BORDEWICH M. and SEMPLE C.
   Computing the Hybridization Number of Two Phylogenetic Trees is Fixed-Parameter Tractable
6. UCDMS2006/6 GEELEN J. and HUMPHRIES P.
   Rota’s Basis Conjecture for Paving Matroids
7. UCDMS2006/7 OXLEY J., SEMPLE C. and WHITTLE G.
   Wild Triangles in 3-Connected Matroids
8. UCDMS2006/8 HUMPHRIES P.
   Nesting Polynomials in Infinite Radicals
9. UCDMS2006/9 WALL D.J.N., OLSSON P. and Van HOUTEN E.
   On an Inverse Problem from Magnetic Resonance Elastic Imaging
10. UCDMS2006/10 SEMPLE C., MOULTEN V., HUBER K. and GRUNEWALD S.
    Encoding Phylogenetic Trees in Terms of Weighted Quartets
11. UCDMS2006/11 MOULTEN V., SEMPLE C. and STEEL M.
    Optimizing Phylogenetic Diversity Under Constraints
13. UCDMS2006/13 OXLEY J., SEMPLE C. and WHITTLE G.
    A Chain Theorem for Matroids
14. UCDMS2006/14 MULLOWNEY P. and JAMES A.
    Resonances in Compound Process
15. UCDMS2006/15 CHAPMAN S.J., PLANK M., JAMES A. and BASSE B.
    A Nonlinear Model of Age and Size-Structured Populations with Applications to Cell-Cycles

Published 2005

1. UCDMS2005/1 HALL R., OXLEY J. and SEMPLE C.
   The Structure of 3–Connested Matroids of Path Width Three
2. UCDMS2005/2 REALE M. and CAPPELLI C.
   Detecting Changes in Mean Levels with Atheoretical Regression Trees
3. UCDMS2005/3 BARONI M., SEMPLE C. and STEEL M.
   Hybrids in Real Time
4. UCDMS2005/4 LAD F.
   Factoring bivariate distributions
5. UCDMS2005/5 BERRY V. and SEMPLE C.
   Fast Computation of Compatibility for Phylogenies with Nested Taxa
6. UCDMS2005/6 BUI. H.Q. and LAUGESEN R.S.
   Approximation and Spanning in the Hardy Space, by Affine Systems
7. UCDMS2005/7 BROWN J.A., WOLLONS R.C. and MANLEY B.R.
   Estimation Uncertainty in the Kyoto Compliant Carbon Accounting System for New Zealand’s Planted Forrests
8. UCDMS2005/8 WOLLONS R.C., BROWN J.A. and MANLEY B.R.
   Estimation of Errors Associated with the Calculation of Carbon in Kyoto Forrests
9. UCDMS2005/9 GRUNEWALD S., HUMPHRIES P. AND SEMPLE C.
   Quartet Compatibility and the Quartet Graph
10. UCDMS2005/10 SEMPLE C., OXLEY J. and WHITTLE G.
    The Structure of the 3–Separation of 3–Connected Matroids II
11. UCDMS2005/11 BERGER A. and HILL T.P.
    A Characterization of Newton Maps
12. UCDMS2005/12 SEMPLE C. and WELSH D.
    Negative Correlation in Graphs and Matroids

Published 2004

1. UCDMS2004/1 BARONI M. and STEEL M.
   Accumulation Phylogenies
2. UCDMS2004/2 MOSSEL E. and STEEL M.
   Phylogenetic Signal, Phase Translations and Limits to Resolving Deep Divergences
3. UCDMS2004/3 PRICE C.P. and TOINT P.
   Exploiting problem structure in pattern–search methods for unconstrained optimization
4. UCDMS2004/4 SEMPLE C. and DANIEL P.
   A platform for supertree algorithms
5. UCDMS2004/5 SEMPLE C. and BORDEWICH M.
   Computing the rooted subtree prune and regraft is NP–hard
6. UCDMS2004/6 BEATSON R.K., BUI H.Q. and LEVESLEY J.
   Embeddings of Beppo–Levi spaces in Hölder–Zygmund spaces and a new method for radial basis function interpolation error estimates
7. UCDMS2004/7 BORDEWICH M., HUBER K.T. and SEMPLE C.
   Identifying Phylogenetic Trees
8. UCDMS2004/8 BUI Q. and LAUGESEN R.S.
   Spanning and Sampling in Lebesgue and Sobolev Spaces
9. UCDMS2004/9 SEMPLE C. and STEEL M.
   Phylogenetic Clocks
10. UCDMS2004/10 PENNY R.N. and REALE M.
    Using Graphical Modeling of Offical Statistics
11. UCDMS2004/11 BUI Q. and M. PALUSZYNSKI
    On the PHI and PSI Transforms of Frazier and Jawerth
12. UCDMS2004/12 BARONI Marian A.
    Constructive order completeness
13. UCDMS2004/13 BORDEWICH M., EVANS G. and SEMPLE C.
    Extending the Limits of Supertree Methods
14. UCDMS2004/14 STEEL M.
    Phylogenetic Diversity and the Greedy Algorithm
15. UCDMS2004/15 STEEL M. and MOSSEL E.
    Random Autocatalytic Networks
16. UCDMS2004/16 SEMPLE C., HALL R. and OXLEY J.
    The Structure of Equivalent 3–Separations in a 3–Connected Matroid
17. UCDMS2004/17 BORDEWICH M., SEMPLE C. and STEEL M.
    Identifying X–Trees with few Characters
18. UCDMS2004/18 PLANK M.J., WALL D.J.N. and DAVID T.
    Atherosclerosis and Calcuim Signalling in Endothelial Cells
19. UCDMS2004/19 BARONI M., CRUNEWALD S., MOULTON V. and SEMPLE C.
    Bounding the Number of Hybridisation Events for a Consistent Evolutionary History
20. UCDMS2004/20 PLANK M.J., WALL D.J.N. and DAVID T.
    Regulation of Transendonthelial Low–Density Lipoprotein Transmission by Fluid Shear Stress
21. UCDMS2004/21 BORDEWICH M. and SEMPLE C.
    Computing the Minimum Number of Hybridisation Events for a Consistent Evolutionary History
22. UCDMS2004/22 BARITOMPA W.P. BULGER D., and WOOD G.R.
    Grover’s Quantum Algorithm Applied to Global Optimisation
23. UCDMS2004/23 BEGG R., WAKE G. and WALL D.J.N.
    Ona Functional Equation Model of Transient Cell–Growth

Published 2003

1. UCDMS2003/1 BYATT D., COOPE I.D. and PRICE C.J.
   Performance of various BFGS and DFP implementations with limited precision 2^nd order info
2. UCDMS2003/2 STEEL M.
   Peeling phylogenetic ‘oranges’
3. UCDMS2003/3 BARITOMPA B.
   The space of Edge–Weighted Trees is a Euclidean Cell
4. UCDMS2003/4 MOSSEL E. and STEEL M.
   A phase transition for a random cluster model on phylogenetic tress
5. UCDMS2003/5 LAD Frank.
   Probability: the language of the people! ... the language of science??
6. UCDMS2003/6 DiBACCO Mario, FREDERIC Patrizio, LAD Frank.
   Learning from the Probability Assertions of Experts
7. UCDMS2003/7 FREDERIC Patrizio, LAD Frank.
   A Technical Note on the Logitnormal Distribution
8. UCDMS2003/8 BASSE B., WAKE G., WALL D.J.N. and van BRUNT B.
   On a cell–Growth Model for Plankton
9. UCDMS2003/9 BASSE B., BAGULEY B.C., MARSHALL E.S., JOSEPH W.R., van BRUNT B., WAKE G. and WALL D.J.N.
   Modelling Cell Death in Human Tumor Cell Lines Exposed to the Anticancer Drug Paclitaxel
10. UCDMS2003/10 OXLEY James, SEMPLE Charles, and WHITTLE Geoff.
    The structure of the 3–serparations of 3–connected matroids
11. UCDMS2003/11 BORDEWICH M., SEMPLE C. and TALBOT J.
    Counting consistent phylogenetic Tree is #P–complete
12. UCDMS2003/12 STEEL M. and PENNY D.
    Two further links between MP and ML under the Poisson model
13. UCDMS2003/13 SEMPLE C. and DANIEL P.
    Supertree algorithms for nested taxa
14. UCDMS2003/14 HORDIJK W. and STEEL M.
    Detecting autocatalytic self–sustaining sets in chemical reaction systems
15. UCDMS2003/15 WARE Robert, LAD Frank.
    Approximating the Distribution for Sums of Products of Normal Variables
16. UCDMS2003/16 WARE Robert, LAD Frank.
    Approximation of Posterior Means and Variances of the Digitised Normal Distribution using Continuous Normal Approximation
17. UCDMS2003/17 WARE Robert, LAD Frank.
    Flood Frequency Analysis of the Waimakariri River
18. UCDMS2003/18 SEMPLE C., DANIEL P., HORDIJK W., PAGE, R.D.M. and STEEL M.
    Supertree algorithms for ancestral divergence dates and nested taxa
19. UCDMS2003/19 BEATSON R. and BUI Q.
    Mollification formulas and implicit smoothing
20. UCDMS2003/20 HUBER K.T., MOULTON V., SEMPLE C. and STEEL M.
    Recovering a phylogenetic tree using pairwise closure operations
21. UCDMS2003/21 CAPOTORTI Andrea, LAD Frank.
    Reassessing Accuracy Rates from Median Decision Procedures
22. UCDMS2003/22 BARONI M., SEMPLE C. and STEEL M.
    A framework for representing reticulate evolution
23. UCDMS2003/23 BYATT D., DALRYMPLE M. and TURNER R.
    Searching for primes in the digits of pi

Published 2002

1. UCDMS2002/1 SEMPLE Charles.
   Fog decomposition of matroids
2. UCDMS2002/2 BROWN, J.A.
   A review of literature for monitoring low density animal populations
3. UCDMS2002/3 BEATSON R.K. and MOUAT C.T.
   RBF Collocation
4. UCDMS2002/4 SEMPLE Charles.
   Replacing Cliques by Stars in Quasi–Median Graphs
5. UCDMS2002/5 BROWN, J.A.
   Statistics for Environmental Monitoring
6. UCDMS2002/6 WILSON Granville T., REALE Marco.
   Casual diagrams for structural VAR models
7. UCDMS2002/7 COOPE I.D. and PRICE C.J.
   A Derivative–Free Frame–Based Conjugate Gradients Method
8. UCDMS2002/8 BASSE B., BAGULEY B.C., MARSHALL E.S., JOSEPH W.R., van BRUNT B., WAKE G. and WALL D.J.N.
   A Mathematical Model for Analysis of the Cell Cycle in Human Tumors
9. UCDMS2002/9 SHORTEN, Paul R. and WALL, David J.N.
   Signal Restoration after Transmission through an Advective and Diffusive Medium
10. UCDMS2002/10 BYATT D., COOPE I.D. and PRICE C.J.
    Conjugate Grids for Unconstrained Optimisation
11. UCDMS2002/11 BYATT D.
    Graphs from Projective Planes
12. UCDMS2002/12 HUBER K.T., MOULTON V. and STEEL M.
    Four Characters Suffice to Convexity Define a Phylogenetic Tree
13. UCDMS2002/13 BYATT D.
    Factoring Large Integers
14. UCDMS2002/14 BRYANT D., SEMPLE C. and STEEL M.
    Combining Evolutionary Trees with Ancestral Divergence Dates
15. UCDMS2002/15 SEMPLE C. and STEEL M.
    Cyclic Permutations and Evolutionary Trees

Published 2001

1. UCDMS2001/1 WILSON Granville T, REALE Marco and MORTON Alex S.
   Developments in Multivariate Time Series Modeling
2. UCDMS2001/2 BRIDGES D., ISHIHARA H., SCHUSTER P. and VITA L.
   Strong Continuity Implies Uniform Sequential Continuity
3. UCDMS2001/3 STEEL Michael A. and SZEKELY Laszlo A.
   Inverting random functions II: explicit bounds for parametric and non–parametric MLE, with applications
4. UCDMS2001/4 HALL Rhiannon, OXLEY James, SEMPLE Charles, and WHITTLE Geoff.
   On matroids of branch–width three
5. UCDMS2001/5 SEMPLE Charles, and STEEL Mike.
   Tree reconstruction from multi–state characters
6. UCDMS2002/6 BEATSON R.K. and MOUAT C.T.
   Some properties of the boundary over distance preconditioner for radial basis function interpolation
7. UCDMS2001/7 PRICE C.J., COOPE I.D. and BYATT D.
   A Convergent Variant of the Nelder–Mead Algorithm

Published 2000

1. UCDMS2000/1 CHERRIE J.B., BEATSON R.K., and NEWSAM, G.N.
   Fast evaluation of radial basis functions: Methods for generalized multiquadrics in Rn
2. UCDMS2000/2 BEATSON R.K. and MOUAT C.T.
   Fast Kriging
3. UCDMS2000/3 REALE M. and WILSON G.T.
   The sampling properties of conditional independence graphs for structural vector autoregressions
4. UCDMS2000/4 REALE M. and WILSON G.T.
   Identification of vector AR models with recursive structural errors using conditional independence graphs
5. UCDMS2000/5 THOMAS M.D. and BROWN J.A.
   Possum monitoring using raised leg–hold traps
6. UCDMS2000/6 BROWN J.A. and THOMAS M.D.
   Residual trap–catch methodology for low–density possum populations (Part I — Improving the precision of possum population density estimates)
7. UCDMS2000/7 CHERRIE J.B., BEATSON R.K. and RAGOZIN D.L.
   Fast evaluation of radial basis functions: Methods for four—dimensional polyharmonic splines
8. UCDMS2000/8 O’MEARA K.C. and RAPHAEL R.M.
   Uniform Diagonalisation of Matrices over Regular Rings
9. UCDMS2000/9 LAD Frank, and DiBACCO Mario.
   Assessing the Value of a Second Opinion
10. UCDMS2000/10 BULGER D., BARITOMPA W.P., and WOOD G.R.
    Implementing Pure Adaptive Search with Grover’s Quantum Algorithm
11. UCDMS2000/11 BRIDGES Douglas S.
    A Simple Constructive Proof of Kronecker’s Density Theorem
12. UCDMS2000/12 COOPE I.D. and PRICE C.J.
    Positive Bases in Numerical Optimization
13. UCDMS2000/13 SHORTEN Paul R. and WALL David J.N.
    Dispersion in Perifusion Systems and Data Enhancement
14. UCDMS2000/14 VITA (Dediu) Luminita, and BRIDGES Douglas.
    A First–order Constructive Theory of Nearness Spaces
15. UCDMS2000/15 BRIDGES Douglas and VITA (Dediu) Luminita.
    Apartness Spaces as a Framework for Constructive Topology
16. UCDMS2000/16 BRIDGES Douglas and MAHALANOBIS Ayan.
    Bounded Variation Implies Regulated: A Constructive Proof
17. UCDMS2000/17 COOPE I.D. and RENAUD P.F.
    Trace Inequalities with Applications to Orthogonal Regression and Matrix Nearness Problems

Published 1999

168. (January) BROWN J.A.
     A review of factors affecting pilot–reported bird–strike rates at Christchurch International Airport
169. (January) SEMPLE Charles and STEEL Mike.
     Tree Representations of Non–symmetric Group–valued Proximities
170. (January) ALLEN Benjamin L. and STEEL Mike.
     Subtree Transfer Operations and their Induced Metrics on Evolutionary Trees
171. (February) STEINKE Günter F.
     A Classification of Minkowski Planes over Half–ordered Fields
172. (February) WALL David J.N. and LUNDSTEDT Jonas.
     Inverse Problems Involving the One–way Wave Equation: Medium Function Reconstruction
173. (February) SHORTEN Paul R., LeBEAU Andrew P. ROBSON A. Bruce, McKINNON Alan E. and WALL David J.N.
     A Role of the Endoplasmic Reticulum in a Mathematical Model of Corticotroph Action Potentials
174. (March) SEMPLE Charles and STEEL Mike.
     A Supertree Method for Rooted Trees
175. (March) STEINKE, Günter F.
     Laguerre Near–Planes of Order Four
176. (April) STEEL Michael A. and SZEKELY Laszlo A.
     Inverting random functions
177. (May) McKENZIE Andy and STEEL Mike.
     Distributions of cherries for two models of trees
178. (May) LAD Frank and SCOZZAFAVA Romano.
     On the predictive use of insufficient statistics: an intriguing family of distributions
179. (June) SEMPLE Charles.
     Reconstructing minimal rooted trees
180. (July) COOPE I.D. and PRICE C.J.
     On the convergence of grid based methods for unconstrained optimization. (Revised December, 2000. To appear in SIAM J. on Optimization.)
181. (July) O’MEARA K.C. and VINSONHALER C.
     Separative Cancellation and Multiple–Isomorphism in Torsion–Free Abelian Groups
182. (July) ARA P., GOODEARL K.R., O’MEARA K.C. and RAPHAEL R.M.
     K_1 of Separative exchange rings and C*—algebras with real rank zero
183. (July) O’MEARA K.C. and RAPHAEL R.M.
     Uniform Diagonalisation of Matrices over Regular Rings
184. (September) OXLEY James, SEMPLE Charles, VERTIGAN Dirk and WHITTLE Geoff.
     Infinite antichains of matroids with characteristic set {p}
185. (1999) WALL David J.N., SHANKS Andrew T, and BODGER Patrick S.
     Electro–permeabilization of a prolate spheroidal model of biological cells
186. (1999) SHORTEN Paul R., ROBSON A Bruce, MCKINNON Alan E. and WALL David J.N.
     The inward rectifier in a model of corticotroph electrical activity
187. (1999) SHORTEN Paul R. and WALL David J.N.
     A Hodgkin–Huxley model exhibiting bursting oscillations
188. (1999) COOPE I.D, and PRICE C.J.
     A Direct Search Conjugate Directions Algorithm for Unconstrained Minimization
189. (1999) SEMPLE C and STEEL M.
     A characterization for a set of partial partitions to define an X–tree
190. (1999) SEMPLE C and STEEL M.
     Tree reconstruction via a closure operation on partial splits

Published 1998

161. (January) LOWEN R. and STEINKE G.F.
     Non–classical 4—dimensional Minkowski planes obtained as brothers of semiclassical 4—dimensional Laguerre planes
162. (March) STEINKE G.F.
     Finite Mobius Near–Planes
163. (March) SHORTEN Paul R. and WALL David J.N.
     Signal Restoration for a Mass Transport Problem Involving Shear Dispersion
164. (April) BROWN J.A. and MILLER C.J.
     Monitoring stoat Mustela erminea control operations: power analysis and design
165. (July) RENAUD Peter.
     On Some Matrix Trace Inequalities
166. (October) RENAUD Peter.
     Scale Invariant Means and the First Digit Problem
167. (December) STEEL Mike.
     Probabilities of Evolutionary Trees under a Rate–Varying Model of Speciation

Published 1997

151. (March) BRINKMAN G., DRESS A.W.M., PERREY S.W. and STOYE E.
     Two Applications of the Divide & Conquer Principle in the Molecular Sciences
152. (March) DRESS A.W.M.
     Towards a Theory of Holistic Clustering
153. (June) KRISTENSSON Gerhard and WALL David J.N.
     Direct and Inverse Scattering for Transient Electromagnetic Waves in Nonlinear Media
154. (June) BRYANT David and WADDELL Peter.
     Rapid evaluation of Least Squares and Minimum Evolution Criteria on Phylogenetic Trees
155. (July) BILLGER Dag V.J. and WALL David J.N.
     A time domain algorithm for reflection of waves on a viscoelastically supported Timoshenko beam
156. (September) STEINKE Günter F.
     Lenz–Barlotti classes of semi–classical ordered projective planes
157. (October) STEEL Mike, HENDY Michael D. and PENNY David.
     Reconstructing phylogenies from nucleotide pattern probabilities — a survey and some new results
158. (October) ERDÖS Peter L., STEEL Michael A., SZEKELY Laszlo A. and WARNOW Tandy J.
     A few logs suffice to build (almost) all trees (I)
159. (December) STEINKE Günter F.
     On 4—dimensional elation Laguerre planes admitting simple lie groups of automorphisms
160. (December) POWELL M.J.D.
     An optimal way of moving a sequence of points onto a curve in two dimensions

Published 1996

134. (January) LAD Frank and DUNLOP G.R.
     Posterior Distribution for the Pulse Width Modulation of a Square Wave Conditional on Digital Measurements of its On–Off Components
135. (February) STEINKE Günter F.
     A Family of Minkowski Planes over Half–Ordered Fields
136. (February) LAD Frank and DUNLOP G.R.
     Information Gain for the Pulse Width Modulation of a Square Waveform by Continued Signal Tracking through a Second Pulse
137. (February) WALL David J.N. and OLSSON Peter.
     Invariant Imbedding and Hyperbolic Heat Waves
138. (February) LINDNER C.C. and PENFOLD STREET Anne.
     Multiple Minimum Coverings of K_n with Copies of K_4–e
139. (March) STEPHENS Chris.
     Interval and Bounding Hessians
140. (April) POLSTER B., ROSEHR N. and STEINKE G.F.
     On the Existence of Topological Ovals in Flat Projective Planes
141. (May) ARA P., GOODEARL K.R., O’MEARA K.C. and PARDO E.
     Diagonalization of Matrices over Regular Rings
142. (May) ARA P., GOODEARL K.R., O’MEARA K.C. and PARDO E.
     Separative Cancellation for Projective Modules over Exchange Rings
143. (May) WADDELL Peter J. and STEEL M.A.
     General Time Reversible Distances with Unequal Rates Across Sites
144. (May) STEEL, Mike, SZEKELY, Laszlo A. and ERDÖS Peter L.
     The number of nucleotide sites needed to accurately reconstruct large evolutionary trees
145. (August) CONNOLLY T. John and WALL David J.N.
     On some Inverse Problems for a Nonlinear Transport Equation
146. (September) WALL David J.N. and LUNDSTEDT Jonas.
     Inverse Source Problems Involving the One–way Wave Equation:Source Reconstruction
147. (September) BARITOMPA William and STEPHENS Chris.
     Global Optimization Requires Global Information
148. (October) MOULTON Vince and STEEL Mike.
     Retractions of Finite Distance Functions onto Tree Metrics
149. (October) TUFFLEY Chris and STEEL Mike.
     Modelling the covarion hypothesis of nucleotide substitution
150. (December) CAPOTORTI Andrea and LAD Frank.
     Complete solutions to the problem of quantisation errors arising from digital measurements of a repeated square wave signal

Published 1995

120. (January) PENNY David, STEEL Mike, WADDELL Peter J. and HENDY Michael D.
     Improved analyses of human mtDNA sequence support a recent African origin for Homo sapiens
121. (February) STEINKE Günter F.
     Semiclassical Projective Planes Over Half–ordered Fields
122. (March) MACLAGAN Diane, STURGE Timothy and BARITOMPA William.
     Equivalent Methods for Global Optimization
123. (April) WOODCOCK C.F. and GRAVES–MORRIS P.R.
     Generalised Discriminants
124. (April) BRYANT David.
     Hunting for binary trees in binary character sets: efficient algorithms for extraction, enumeration and optimization
125. (May) TUFFLEY C.
     Some computational results on modules connected with Burnside groups of exponent 4
126. (June) RODGER C.A. with FU H.L. and SARVATE D.
     Group divisible designs with two associate classes
127. (July) HAMEL A.M., JARVIS P.D. and YUNG C.M.
     Symmetric Functions, Tableaux Decompositions and the Fermion–Boson Correspondence
128. (August) BUI Huy–Qui.
     Bernstein’s theorem on weighted Besov spaces
129. (July) HAMEL A.M.
     Determinantal Identities for Modular Schur Symmetric Functions
130. (September) NG Meei Pyng, STEEL Mike and WORMALD Nicholas C.
     The difficulty of constructing a leaf–labelled tree including or avoiding given subtrees
131. (October) BEATSON R.K. and NEWSAM G.N.
     Fast Evaluation of Radial Basis Functions: Moment Based Methods
132. (November) TUFFLEY Christopher (Supervised by Dr Michael Steel)
     Bounding probabilities in a Markovian model of character evolution
133. (November) STEEL Mike and TAYLOR Michael.
     Comparing forensic hypotheses from PCR results in cases involving mixtures of body fluids

Published 1994

104. (February) STEEL M.A., SZEKELY L.A. and HENDY M.D.
     Reconstructing trees when sequence sites evolve at variable rates
105. (March) STEINKE Günter F.
     A Family of 2—Dimensional Minkowski Planes with Small Automorphism Groups
106. (November) ZABINSKY Z.B., WOOD G.R., STEEL M.A. and BARITOMPA W.P.
     Pure Adaptive Search for Finite Global Optimization
107. (May) BEATSON R.K. and DYN N.
     Multiquadric B–splines
108. (June) POLSTER B. and STEINKE G.F.
     Criteria for two—dimensional circle planes
109. (July) HAMEL A.M. and STEEL M.A.
     The length of a leaf coloration on a random binary tree
110. (August) MURRAY Rua.
     Does symplectic geometry yield useful numerical tricks?
111. (July) HAMEL A.M.
     Pfaffians and Determinants for Schur Q–Functions
112. (August) COOPE I.D. and PRICE C.J.
     A Modified BFGS Formula Maintaining Positive Definiteness with Armijo–Goldstein Steplengths
113. (September) BUI H.Q., PALUSYNSKI M. and TAIBLESON M.H.
     A maximal function characterization of weighted Besov–Lipschitz and Triebel–Lizorkin spaces
114. (October) HAMEL A.M. and STEEL M.A.
     Finding a maximum compatible tree is NP–hard for sequences and trees
115. (October) STEEL Mike, GOLDSTEIN Larry and WATERMAN Michael S.
     A Central Limit Theorem for Parsimony Length of Trees
116. (October) HAMEL A.M.
     Determinantal Forms for Symplectic and Orthogonal Schur Functions
117. (November) STEEL M.A. and FU Y.X.
     Classifying and counting linear phylogenetic invariants for the Jukes Cantor model
118. (November) STEEL Mike A. and BRYANT David J.
     Extension operations on sets of leaf–labelled trees
119. (December) BEATSON R.K. and LIGHT W.A.
     Fast evaluation of radial basis functions: Methods for 2—dimensional polyharmonic splines

Published 1993

72. (January) DOMINGUEZ M., COOPE I.D., ARILLAGA J. and WATSON N.R.
    An Adaptive Scheme for the Derivation of Harmonic Impedance Contours
73. (January) BREACH D.R., SHARRY M.J. and PENFOLD STREET A.
    In Search of 4—(12,6,4) Designs:Part I
74. (January) BREACH D.R.
    In Search of 4—(12,6,4) Designs:Part II
75. (January) BREACH D.R.
    and PENFOLD STREET A. In Search of 4—(12,6,4) Designs:Part III
76. (February) STEINKE G.F.
    On 4–Dimensional Minkowski Planes with 7–Dimensional Automorphism Group
77. (March) HICKMAN M.S.
    The Use of MAPLE in the Search for Symmetries
78. (March) HICKMAN M.S.
    A domain function for MAPLE
79. (March) ZHANG Baoping, WOOD G.R. and BARITOMPA W.P.
    Multidimensional Bisection: The Performance and the Context
80. (March) BARITOMPA W.P.
    Customizing Methods for Global Optimization —— a Geometric Viewpoint
81. (March) BARITOMPA W.P.
    Accelerations for a Variety of Global Optimization Methods
82. (March) BARITOMPA W.P.
    and CUTLER A. Accelerations for Global Optimization Methods that use Second Derivative Information
83. (March) BARITOMPA W.P., MLADINEO R.H., WOOD G.R., ZABINSKY Z.B. and ZHANG Baoping.
    Towards Pure Adaptive Search
84. (March) STEINKE Günter F.
    On the Continuity of the Geometric Operations in Minkowski Planes with Parallel Classes S2
85. (April) GUTHRIE G.
    Constructing Miura transformations using symmetry groups
86. (April) WAYLEN P.C.
    Exact treatment of time–dependent axisymmetric gravitation
87. (May) LEVI Inessa and WOOD G.R.
    On Automorphisms of Transformation Semigroups
88. (May) STEEL M.A. and WOOD G.R.
    On a Problem of Andersson and Perlman
89. (May) BUI Hui–Qui.
    Remark on the characterization of weighted Besov spaces via temperatures
90. (May) STEINKE Günter, F.
    Elation Laguerre Planes of Order p^2 that Admit an Automorphism Group of Order p^2 in the Elation Complement
91. (June) PRICE C.J. and COOPE I.D.
    Numerical Experiments in Semi–Infinite Programming
92. (June) GUTHRIE Graeme A.
    Recursion operators and nonlocal symmetries
93. (July) BARITOMPA W.P.
    Multidimensional Bisection:a dual viewpoint
94. (July) BARITOMPA W.P. and STEEL Mike A.
    Bounds on First Hitting Times of Directionally–Based Random Sequences
95. (July) LAD Frank R., DEELY John J. and PIESSE Andrea.
    Using the Fundamental Theorem of Prevision to Identify Coherency Conditions for Finite Exchangeable Inference
96. (July) COOPE I.D. and PRICE C.J.
    A Two Parameter Exact Penalty Function for Nonlinear Programming
97. (August) PRICE C.J.
    Convergence properties of an algorithm for nonlinear programmes which uses a two parameter exact penalty function
98. (August) BRYANT Peter J. and STIASSNIE Michael.
    Different Forms for Nonlinear Standing Waves in Deep Water
99. (August) COOPE I.D.
    On the Calculation of Minimum Variance Estimators for Unobservable Dependent Variables
100. (September) O’MEARA K.C.
     A New Measure of Growth for Countable–Dimensional Algebras II
101. (September) BARITOMPA William and VIITANEN Sami.
     PMB–Parallel Multidimensional Bisection
102. (September) MURRAY Rua and STEPHENS Chris.
     A Depth–First Lipschitz Based Global Maximization Algorithm
103. (May) STEEL Mike.
     Recovering a tree from the leaf colourations it generates under a Markov model

Published 1992

66. (January) McINNES A.W. and MARSHALL T.H.
    Row Convergence of Algebraic Approximations
67. (February) POWELL M.J.D.
    Tabulation of Thin Plate Splines on a Very Fine Two–dimensional Grid
68. (March) HANNAH John and O’MEARA K.C.
    Growth Curves for Algebras
69. (May) COOPE I.D.
    Circle Fitting by Linear and Nonlinear Least Squares
70. (August) SZEKELY L.A., STEEL M.A. and ERDÖS P.L.
    Fourier Calculus on Evolutionary Trees
71. (November) COOPE I.D. and GRAVES–MORRIS P.R.
    The Rise and Fall of the Vector Epsilon Algorithm

Published 1991

62. (February) COOPE I.D., WATSON N.R. and ARRILLAGA J.
    An Adaptive Scheme for the Efficient Calculation of Impedance Loci
63. (July) COOPE Ian D.
    Curve Fitting with Nonlinear Spiral Splines
64. (July) McINNES A.W.
    Algorithms for the Computation of Approximations by Algebraic Functions
65. (November) BALAKRISHNAN E. and McINNES A.W.
    Evaluation of Algorithms for the Computation of Quadratic Function Approximations

Published 1990

55. (April) WALL David J.N.
    On Some Differential Equations Arising in a Time Domain Inverse Scattering Problem for a Dissipative Wave Equation
56. (June) CONNOLLY T.J. and WALL David J.N.
    On Frechet Differentiability of Some Non–Linear Operators Occurring in Inverse Problems; An Implicit Function Theorem Approach
57. (October) WALL David J.N.
    On the Numerical Solution of a Functional Differential Equation Pertaining to a Wave Equation
58. (October) McINNES A.W.
    Existence and Uniqueness of Collocating Algebraic Function Approximations
59. (November) BEATSON R.K. and CHACKO E.
    Which Cubic Spline Should One Use?
60. (December) MASON J.C. and COOPE I.D.
    Hybrid Chebyshev Collocation–Series Methods for Elliptic Problems
61. (December) McINNES A.W.
    Integral Function Approximations Derived from Inhomogeneous Equations

Published 1989

47. (January) BROOKES R.G. and McINNES A.W.
    More Qualitative Results for the Quadratic Function Approximation
48. (March) BROOKES R.G. and McINNES A.W.
    A Recurrence Algorithm for Quadratic Hermite–Pade Forms
49. (May) BROOKES R.G. and McINNES A.W.
    Structure in the Hermite–Pade Table
50. (July) McINNES A.W.
    Existence and Uniqueness of Algebraic Function Approximations
51. (November) PRICE C.J. and COOPE I.D.
    The L Exact Penalty Function in Semi–Infinite Programming
52. (October) McINNES A.W.
    Existence and Uniqueness of Integral Function Approximations
53. (November) POWELL M.J.D.
    Karmarkar’s Algorithm: A View From Nonlinear Programming
54. (December) POWELL M.J.D.
    Univariate Multiquadric Approximation:Reproduction of Linear Polynomials

Published 1988

44. (February) HANNAH John and O’MEARA K.C.
    Depth of Idempotent–Generated Subsemigroups of a Regular Ring
45. (October) BROOKES R.G. and McINNES A.W.
    The Existence and Local Behaviour of the Quadratic Function Approximation
46. (November) BROOKES R.G. and McINNES A.W.
    Some Qualitative Results for the Quadratic Function Approximation

Published 1987

39. (January) BROOKES R.G.
    Uniform approximation from Tchebycheff systems
40. (October) CONNOLLY T.J. and WALL David J.N.
    An inverse problem, with boundary measurements for the steady state diffusion equation
41. (November) ROBINSON D.F.
    Takenings, Rames and Mills:Structures for the Modelling of Branching
42. (December) COOPE Ian D.
    A Conjugate Direction Implementation of the BFGS Algorithm with Automatic Scaling
43. (December) HANNAH John and O’MEARA K.C.
    Products of Idempotents in Regular Rings II

Published 1985

37. (February) BREACH D.R. and THOMPSON A.R.
    The Transitive 3—(12,6,4) and 2—(11,5,4) Designs
38. (October) BARIT W.
    Automorphism invariants for semigroups

Published 1984

33. (June) LOI S.L.
    A general algorithm for rational interpolation
34. (June) McINNES A.W. and LOI S.L.
    An Algorithm for the Quadratic Approximation
35. (July) BRYANT P.J.
    Doubly–Periodic Progressive Permanent Waves in Deep Water
36. (September) WOOD G.R.
    Two—dimensional bisection and interval minimisation

Published 1983

30. (April) WAYLEN P.C.
    Reasonable model of the universe
31. (September) BREACH D.R. and THOMPSON A.R.
    Reducible 2—(11,5,4) and 3—(12,6,4) designs
32. (September) COOPE I.D. and WATSON G.A.
    A Projected Lagrangian Algorithm for Semi–Infinite Programming

Published 1982

20. (February) WOOD G.R.
    Compact Convex Sets and Mixture Identifiability
21. (February) RENAUD P.F.
    On Weakly Mixing Transformation Semigroups
22. (April) LOI S.L.
    A General Algorithm for Pad? Approximation to Formal Power Series
23. (June) LUDVIGSEN M. and VICKERS J.A.G.
    Trapped Surfaces and the Positivity of Bondi Mass
24. (June) LUDVIGSEN M. and VICKERS J.A.G.
    Bondi Momentum and its Quasi–Local Null Surface Extension
25. (July) LUDVIGSEN M.
    Space–like Infinity and Asymptotic Photon Fields in Q.E.D
26. (July) BRYANT P.J.
    Cyclic Gravity Waves in Deep Water
27. (July) RENAUD P.F.
    A Korovkin Theorem for AL–spaces
28. (November) BRYANT P.J.
    Oblique wave groups in deep water
29. (December) SHARP P.W.
    Unsteady waves on an open two layer fluid

Published 1981

16. (January) BREACH D.R.
    Some Remarks on a Family of t–designs
17. (August) BREACH D.R.
    Star Gazing in Affine Planes. (Reprinted December 1981)
18. (November) BRYANT P.J.
    Short Wave Groups in Deep Water
19. (November) LEVI I., WOOD G.R. and SULLIVAN R.P.
    Automorphisms of Baer–Levi Semigroups

Published 1980

15. (October) CHOW Shue–Sum.
    Singular value decomposition and its applications

Published 1978

11. (February) BRYANT P.J. and LAING A.K.
    Permanent wave structures and resonant triads in a layered fluid
12. (August) BALL R.D.
    Morse theory with applications and extensions
13. (September) BRYANT P.J.
    Nonlinear wave groups in deep water
14. (September) BREACH D.R.
    Some 2—(2n+1,n,n-1) designs with multiple extensions

Published 1977

3. (January) WEIR G.J. and KERR R.P.
   Diverging type–D metrics. (Available from School library)
4. (February) KERR R.P. and WILSON W.B.
   Singularities in the Kerr–Schild metrics. (Available from School library)
5. (May) PETERSEN G.M.
   Algebras for matrix limitation
6. (August) GRAY A.G.
   Topological methods in second order arithmetic
7. (September) WAYLEN P.C.
   Green functions in the early universe
8. (November) BEATSON R.K.
   The asymptotic cost of Lagrange interpolatory side conditions in the space C(T)
9. (November) BEATSON R.K.
   The degree of monotone approximation
10. (November) BREACH D.R.
    On the non–existence of 5—(24,12,6) and 4—(23,11,6) designs

Published 1976

1. (November) BRYANT P.J.
   (Reprinted March 1978) Permanent wave structures on an open two layer fluid
2. (December) WEIR G.J.
   Conformal Killing tensors in reducible spaces