Abbas, Mujahid; Ali, Bashir; Suleiman, Yusuf I.(SpringerOpen, 2016-12)
In this work, we initiate the notions of dislocated-Ab-quasi-metric and
Ab-quasi-metric-like spaces. Then we establish the existence of a common fixed point
of weakly compatible mappings satisfying a contractive condition ...
Weldegiyorgis, Gediyon Yemane(University of Pretoria, 2017)
In this dissertation, boundary stabilization of a linear hyperbolic system of balance laws is
considered. Of particular interest is the numerical boundary stabilization of such systems. An
analytical stability analysis ...
Wannenburg, Johann Joubert(University of Pretoria, 2017)
After recalling some prerequisites from universal algebra in Chapter 1, we
recount in Chapter 2 the general theory of deductive (logical) systems. As
working examples, we consider the exponential-free fragment CLL of ...
Tegegn, Tesfalem Abate(University of Pretoria, 2017)
This thesis is divided into three main parts devoted to the study of magnetohydrodynamics
(MHD) turbulence flows.
Part I consists of introduction and background (or preliminary) materials which
were crucially important in ...
Richards, Mark Timothy(University of Pretoria, 2017)
In this dissertation we consider the valuation of discretely monitored barrier
options under the in nite element method. The in nite element method is
an extension to the standard nite element method that accepts problems
with ...
Agbebaku, Dennis Ferdinand(University of Pretoria, 2017)
In this thesis, the Order Completion Method for nonlinear partial differential equation, in
the setting of convergence spaces, is interpreted in terms of the algebraic theory of gen-
eralised functions. In particular, ...
The aim of the study is to determine the extent to which secondary school learners are dependent on
using calculators for performing basic calculations and operations. The purpose of the study is to obtain
findings and ...
The classical theory of risk neutral derivative pricing relies on the
underlying market model being Markovian and complete. We present
the theory of stochastic di erential equations relevant to risk neutral
pricing, with ...
We prove a partial non-commutative analogue of the Furstenberg-Zimmerman Structure
Theorem, originally proved by Tim Austin, Tanya Eisner and Terence Tao.
In Chapter 1, we review the GNS construction for states on von ...
In this PhD thesis, we construct numerical methods to solve problems described by advectiondiffusion
and convective Cahn-Hilliard equations. The advection-diffusion equation models
a variety of physical phenomena in fluid ...
Anguelov, Roumen; Stoltz, Stephanus Marnus(Elsevier, 2017-03)
This paper presents a numerical investigation into the pattern formation mechanism in the Brusselator model focusing on the interplay between the Hopf and Turing bifurcations. The dynamics of a coupled Brusselator model ...
Banda, Mapundi K.; Zhao, Zhi-Xue; Guo, Bao-Zhu(Taylor and Francis, 2017-05-01)
In this paper, simultaneous identification of damping or anti-damping coefficient and initial value for some Riesz spectral systems is considered. An identification algorithm is proposed based on the fact that the output ...
Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H.; Lubuma, Jean M.-S.(Springer, 2017-04)
In this work, four finite volume methods have been constructed to solve the
2D convective Cahn–Hilliard equation with specified initial condition and periodic
boundary conditions. We prove existence and uniqueness of ...
Djoko, J.K. (Jules Kamdem)(Taylor and Francis, 2017-04)
This work is concerned with the nonconforming finite approximations for the Stokes and Navier-Stokes equations driven by slip boundary condition of “friction” type. It is well documented that if the velocity is approximated ...
Appadu, A. Rao; Lubuma, Jean M.-S.; Mphephu, N.(Inderscience, 2017-02)
In this paper, we use three existing schemes namely, Upwind Forward Euler, Non-Standard Finite Difference
(NSFD) and Unconditionally Positive Finite Difference (UPFD) schemes to solve two numerical
experiments described ...
Jooste, Alta; Njionou Sadjang, P.; Koepf, W.(Taylor and Francis, 2017-03)
Zeilberger’s celebrated algorithm finds pure recurrence relations (w. r. t. a single variable) for hypergeometric
sums automatically. However, in the theory of orthogonal polynomials and special functions,
contiguous ...
Grobler, J.D.; Naude, Natasia; Zietsman, Johannes Hendrik(Elsevier, 2016-06)
The Holland-Batt spline is well known when it comes to plotting spiral separation performance. The
spline, which consists of a linear curve and power curve, has been successfully used to fit test work data
that is presented ...
The total generalised colourings considered in this paper are colourings of the vertices and
of the edges of graphs satisfying the following conditions:
• each set of vertices of the graph which receive the same colour ...
A topic of interest in the finance world is measuring systematic risk.
Accurately measuring the systematic risk component - or Beta - of an asset or
portfolio is important in many financial applications. In this work, ...