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Now showing items 1-10 of 61

#### Modelling of the mechanisms governing crimp in wool

(University of Canterbury. Mathematics and Statistics, 2003)

This thesis considers modelling one of the mechanisms, which governs the formation of wool fibres. The problem is investigated by constructing a mathematical model that is based on the geometry of the ultrastructure of the ...

#### A bifurcation analysis of a multi compartment plankton-zooplankton-nutrient interaction.

(University of Canterbury. Mathematics and Statistics, 2004)

This thesis concentrates on understanding the long term behaviour of a multi-compartment phytoplankton-zooplankton-nutrient interaction. A variable-yield model is considered, in which the rate of carbon uptake by phytoplankton ...

#### Mathematical models of pituitary corticotrophs and perifusion experiments

(University of Canterbury. Mathematics, 2000)

It is well known that stress is an unavoidable and potentially harmful fact of life. Indeed mental stress is becoming recognised as a predominant factor behind many illnesses and deaths in industrialised nations. However ...

#### Right orders in full linear rings

(University of Canterbury. Mathematics, 1971)

The thesis is a study of right orders in a (left) full linear ring Q = HomD(V,V), V a right vector space over a division ring D. Chapter I, as well as summarizing known results needed in the sequel, outlines the method of ...

#### On Reductive Subgroups of Algebraic Groups and a Question of Külshammer

(University of Canterbury. Mathematics and Statistics, 2013)

This Thesis is motivated by two problems, each concerning representations (homomorphisms)
of groups into a connected reductive algebraic group G over an algebraically
closed field k. The first problem is due to B. ...

#### 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 ...

#### Quadratic approximation and its application to acceleration of convergence

(University of Canterbury. Mathematics, 1982)

This thesis is a study of quadratic approximation and its application to the acceleration of slowly converging sequences arising, in particular, from the numerical integration of an (improper) integral with singularity.
...

#### Empirical Bayes with a changing prior

(University of Canterbury. Mathematics, 1979)

This thesis examines a modified empirical Bayes decision problem in which the a priori distribution is assumed to change with each successive component problem. Firstly, the usual empirical Bayes problem and associated ...

#### 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 ...

#### Fast algorithms and preconditioning techniques for fitting radial basis functions.

(University of Canterbury. Mathematics and Statistics, 2001)

Radial basis functions are excellent interpolators for scattered data in Rd. Previously the use of RBFs had been restricted to small or medium sized data sets due to the high computational cost of solving the interpolation ...