Now showing items 1-6 of 6
Miura transformations and symmetry groups of differential equations
(University of Canterbury. Mathematics, 1993)
The main aim of this work is to develop a generalization of the Miura transformation based on symmetry groups of differential equations. Some applications of the resulting transformations are presented. The central idea ...
Topics in Lipschitz global optimisation
(University of Canterbury. Mathematics and Statistics, 1995)
The global optimisation problem has received much attention in the past twenty-five years. The problem is to find an algorithm which will locate the overall, or global, optimum of a function. It can be viewed as a computer-age ...
Undergraduate difficulties: algebraic skills and mathematical comprehension.
(University of Canterbury. Mathematics and Statistics, 1999)
Many first year university students struggle with mathematics. Observations in senior mathematics classes in four New Zealand secondary schools highlighted potential undergraduate problems, especially with algebraic and ...
Global optimization: theory versus practice
(University of Canterbury. Mathematics, 1997)
This thesis looks at some theoretical and practical aspects of global optimization - as we shall see they do not always coincide. Chapter 1 defines the global optimization problem, discusses applications, concluding there ...
Specializations of generalized Drinfel'd-Sokolov hierarchies
(University of Canterbury. Mathematics, 1996)
The primary objective of this work is to extend the existing body of research on specializations of Drinfel'd-Sokolov hierarchies of partial differential equations and to provide some examples thereof. The hitherto ...
Building trees, hunting for trees, and comparing trees : theory and methods in phylogenetic analysis
(University of Canterbury. Mathematics and Statistics, 1997)
Phylogenetics is the study and identification of evolutionary patterns and structures in nature; this thesis explores the mathematics of these structures. The basic objects of study are the leaf labelled tree and its ...