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Now showing items 1-10 of 69

#### Nonlinear methods for inverse problems

(University of Canterbury. Mathematics, 1989)

The general inverse problem is formulated as a nonlinear operator equation. The solution of this via the Newton-Kantorovich method is outlined. Fréchet differentiability of the operator is given by the implicit function ...

#### The quantification and visualisation of human flourishing.

(University of Canterbury. School of Mathematics and Statistics, 2015)

Economic indicators such as GDP have been a main indicator of human progress since the first half of last century. There is concern that continuing to measure our progress and / or wellbeing using measures that encourage ...

#### Automorphisms and range families of transformation semigroups

(University of Canterbury. Mathematics, 1984)

The problem of describing all automorphisms of a given semigroup of transformations of a set X has interested a number of mathematicians in the past fifty years. J. Schreier showed that all automorphisms of the full ...

#### Ordinal and convex assumptions in phylogenetic tree reconstruction

(University of Canterbury. School of Mathematics and Statistics, 2014)

Phylogenetics is a field primarily concerned with the reconstruction of the evolutionary history of present day species. Evolutionary history is often modeled by a phylogenetic tree, similar to a family tree. To recreate ...

#### Cell-population growth modelling and nonlocal differential equations

(University of Canterbury. Mathematics and Statistics, 2007)

Aspects of the asymptotic behaviour of cell-growth models described by partial differential equations, and systems of partial differential equations, are considered. The models considered describe the evolution of the ...

#### Mathematical modelling of the arterial cellular communication.

(University of Canterbury, 2016)

A study of the arterial cellular communication may be regarded as of greatest importance
for understanding cellular physiology and its consequences leading to pathological
states of the human arterial diseases. However, ...

#### Closure algebras

(University of Canterbury. Mathematics, 1975)

This thesis investigates the properties and behaviour of closure algebras. Closure algebras generalize the concepts of topological closure, algebraic closure and logical consequence. A closure algebra consists of a unary ...

#### Unsteady waves on an open two layer fluid

(University of Canterbury. Mathematics, 1983)

The interaction and evolution of small amplitude gravity waves on an open two layer fluid is investigated. The surface and interface displacements are represented as spatially periodic Fourier series with time dependent ...

#### Anti-Specker Properties in Constructive Reverse Mathematics

(University of Canterbury. Department of Mathematics and Statistics, 2013)

Constructive reverse mathematics is a programme in which non- and semi-constructive principles are classified in accordance with which other principles they imply or are implied by, relative to the framework of Bishop-style ...

#### Stably layered fluids

(University of Canterbury. Mathematics and Statistics, 1978)

Various problems associated with a stably layered fluid are studied.
Firstly, the flow of a layered fluid from a reservoir is considered. Steady solutions are sought and found to depend on the flow at the critical points, ...