Now showing items 1-10 of 12
Queueing and communication networks governed by generalised Lindley-Loynes equations.
Several decades after A.K. Erlang originated the theory of queues and queueing networks, D.V. Lindley added impetus to the development of this field by determining a recursive relation for waiting times. Part I of this ...
The application of the multigrid algorithm to the solution of stiff ordinary differential equations resulting from partial differential equations.
We wish to apply the newly developed multigrid method  to the solution of ODEs resulting from the semi-discretization of time dependent PDEs by the method of lines. In particular, we consider the general form of two ...
The preliminary group classification of the equation utt = f(x,ux)uxx + g(x, ux)
We study the class of partial differential equations Utt = f(x, ux)uxx + g(x, u x), with arbitrary functions f(x, u x) and g(x, u x), from the point of view of group classification. The principal Lie algebra of infinitesimal ...
Completion of uniform and metric frames.
The term "frame" was introduced by C H Dowker, who studied them in a long series of joint papers with D Papert Strauss. J R Isbell , in a path breaking paper  pointed out the need to introduce separate ...
Closure operators on complete lattices with application to compactness.
No abstract available.
Cosmological attractors and no-hair theorems.
Interest in the attracting property of de Sitter space-time has grown during the 'inflationary era' of cosmology. In this dissertation we discuss the more important attempts to prove the so called 'cosmic no-hair conjecture' ...
Pupils' perceptions of study of Mathematics as a subject for the Senior Certificate examination: two case studies.
This study was conducted at two Secondary schools in the Pietermaritzburg area which is in the province of Kwazulu - Natal, South Africa. Of the 182 pupils who participated in this investigation, 97 were from a Black High ...
Distances in and between graphs.
Aspects of the fundamental concept of distance are investigated in this dissertation. Two major topics are discussed; the first considers metrics which give a measure of the extent to which two given graphs are removed from ...
Modelling the spatial dynamics of a semi-arid grazing system.
A large proportion of the world's land surface is covered by semi-arid grasslands, and they provide an important source of income as a grazing resource. A more comprehensive understanding of these complex ecosystems is ...
Locally finite nearness frames.
The concept of a frame was introduced in the mid-sixties by Dowker and Papert. Since then frames have been extensively studied by several authors, including Banaschewski, Pultr and Baboolal to mention a few. The idea of ...