Explicit schemes for integrating ODEs and time–dependent partial differential
equations (in the method of lines–MoL–approach) are very well–known
to be stable as long as the maximum sizes of their timesteps remain below
a ...
In this thesis, the ranks of many types of regular and strongly regular graphs are
determined. Also determined are ranks of regular graphs under unary operations: the line
graph, the complement, the subdivision graph, ...
Die leerder met Wiskunde sukkel omdat hy nie 'n metode het om Wiskunde te leer nie. Groot druk word op die onderwyser geplaas, want hy moet nou vir die leerder leer hoe
om Wiskunde te leer. Die vraag ontstaan of daar 'n ...
In this work we will need the basic knowledge of Graph Theory as our background and as we
go along we will state and prove some of the Lattice and Set Theory results. Every graph in
this work is considered as a finite ...
In this thesis we study the techniques used to calculate the Hamilton operators related to linear optical quantum computing. We also discuss the basic building blocks of linear optical quantum computing (LOQC) by looking ...
The geometric relation of orthogonality - when the angle determined by two lines is a
right angle - has a rich and interesting theory. We investigate geometric orthogonality
structures from a formal logical and model ...
In chapter 1, we give the reader some background concerning digraphs that are used in the discussion of
Markov chains; namely, their Markov digraphs. Warshall’s Algorithm for reachability is also introduced as
this is ...
After giving basic definitions concerning additive hereditary properties of
graphs, this document is divided into three main sections, concerning minimal
reducible bounds, minimal forbidden subgraphs and prime ideals.
We ...
Die eienskappe van 'n ring het 'n bepalende invloed op die eienskappe
van die module oor daardie ring. So kan belangrike klasse van ringe
gekarakteriseer word met behulp van module oar sodanige ringe. Origens
blyk dat ...
A comparison between the recently developed spectral relaxation method
(SRM) and the spectral local linearisation method (SLLM) is done for the
first time in this work. Both spectral hybrid methods are employed in ...
This dissertation deals with the computation of nonlinear control strategies for an autonomous vehicle.
The vehicle consists of two wheels attached to an axle. It is assumed that both wheels roll without slipping leading ...
A class of numerical methods for solving nonstiff initial value problems in ordinary
differential equations has been developed. These methods, designated RKrGLn, are
based on a Runge-Kutta method of order r (RKr), and ...
There have been an extensive study on solutions of differential equations
modeling physical phenomena that blows up in finite time. The blow-up
time often represents an important change in the properties of such models
and ...
Our objective in this thesis is to investigate two fundamental questions concerning
Riesz operators de ned on a Banach space. Recall that Riesz operators are generalizations of compact operators in the sense that Riesz ...
In this thesis we introduce new numerical methods for solving nonlinear ordinary and partial differential equations. These methods solve differential equations in a manner similar to the Gauss Seidel approach of solving ...