Now showing items 1-10 of 47
Spectrum preserving linear mappings between Banach algebras
(Stellenbosch : Stellenbosch University, 2003-04)
ENGLISH ABSTRACT: Let A and B be unital complex Banach algebras with identities 1 and I' respectively. A linear map T : A -+ B is invertibility preserving if Tx is invertible in B for every invertible x E A. We say that ...
Basic properties of models for the spread of HIV/AIDS
(Stellenbosch : Stellenbosch University, 2007-03)
ENGLISH ABSTRACT: While research and population surveys in HIV/AIDS are well established in developed countries, Sub-Saharan Africa is still experiencing scarce HIV/AIDS information. Hence it depends on results obtained ...
Subdivision, interpolation and splines
(Stellenbosch : Stellenbosch University, 2000-03)
ENGLISH ABSTRACT: In this thesis we study the underlying mathematical principles of stationary subdivision, which can be regarded as an iterative recursion scheme for the generation of smooth curves and surfaces in ...
Modelling of nonlinear dynamic systems : using surrogate data methods
(Stellenbosch : Stellenbosch University, 2000-12)
ENGLISH ABSTRACT: This study examined nonlinear modelling techniques as applied to dynamic systems, paying specific attention to the Method of Surrogate Data and its possibilities. Within the field of nonlinear modelling, ...
Interpolatory bivariate refinable functions and subdivision
(Stellenbosch : Stellenbosch University, 2008-03)
See full text for abstract.
Endomorphism rings of hyperelliptic Jacobians
(Stellenbosch : University of Stellenbosch, 2005-03)
The aim of this thesis is to study the unital subrings contained in associative algebras arising as the endomorphism algebras of hyperelliptic Jacobians over finite fields. In the first part we study associative algebras ...
Automorphisms of curves and the lifting conjecture
(Stellenbosch : University of Stellenbosch, 2005-12)
It is an open question whether or not one can always lift Galois extensions of smooth algebraic curves in characteristic p to Galois extensions of smooth relative curves in characteristic 0. In this thesis we study some ...
Numerical indefinite integration using the sinc method
(Stellenbosch : University of Stellenbosch, 2007-03)
In this thesis, we study the numerical approximation of indefinite integrals with algebraic or logarithmic end-point singularities. We show the derivation of the two quadrature formulas proposed by Haber based on the ...
Modelling of flow through porous packing elements of a CO2 absorption tower
(Stellenbosch : University of Stellenbosch, 2009-12)
ENGLISH ABSTRACT: Packed beds are widely used in industry to improve the total contact area between two substances in a multiphase process. The process typically involves forced convection of liquid or gas through either ...
A multiresolutional approach to the construction of spline wavelets
(Stellenbosch : Stellenbosch University, 2000-04)
ENGLISH ABSTRACT: In this thesis we study a wavelet construction procedure based on a multiresolutional method, before specializing to the case of spline wavelets. First, we introduce and analyze the concepts of scaling ...