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#### 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.
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#### The quadratic Hermite-Padé approximation

(University of Canterbury. Mathematics, 1989)

This thesis is concerned with the existence, behaviour and performance of the quadratic Hermite-Padé approximation.
It starts with the definition of the general Hermite-Padé approximation. Some of the problems which ...

#### A census of 3-(12,6,4) and 2-(11,5,4) designs

(University of Canterbury. Mathematics, 1985)

This thesis documents the development of all possible non-isomorphic 3-(12,6,4) and 2-(11,5,4) designs. A representative copy of each of the 545 non-isomorphic 3-(12,6,4) designs along with all its non-trivial automorphisms ...

#### 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 ...

#### 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 ...

#### Existence theorems for floorplans

(University of Canterbury. Mathematics, 1987)

The existence of floorplans with given areas and adjacencies for the rooms cannot always be guaranteed. Rectangular, isometric and convex floorplans are considered. For each, the areas of the rooms and a graph representing ...

#### 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 ...