A qualitative study was done to explore and describe the problems of teenage mothers in the southern Hho-Hho region of Swaziland. Ten teenage mothers wrote naive sketches and fourteen teenage mothers were interviewed. The findings of the research indicated a lack of support for the teenage mother in all the dimensions studies in this research which include physical, social, cultural, emotional, spiritual, economical and educational. This lack of support systems were found to be the paramount problem and need urgent attention. The vicious circle of lack of support, ignorance, interruption of education and unplanned motherhood can only be addressed if all stakeholders including the multidisciplinary team actively participate to prevent teenage pregnancy and provide support for teenagers in general. / Nursing Science / M.A. (Nursing Science)

A qualitative study was done to explore and describe the problems of teenage mothers in the southern Hho-Hho region of Swaziland. Ten teenage mothers wrote naive sketches and fourteen teenage mothers were interviewed. The findings of the research indicated a lack of support for the teenage mother in all the dimensions studies in this research which include physical, social, cultural, emotional, spiritual, economical and educational. This lack of support systems were found to be the paramount problem and need urgent attention. The vicious circle of lack of support, ignorance, interruption of education and unplanned motherhood can only be addressed if all stakeholders including the multidisciplinary team actively participate to prevent teenage pregnancy and provide support for teenagers in general. / Adanced Nursing Sciences / M.A. (Nursing Science)

Philosophiae Doctor - PhD / In recent years, there has been a great interest towards the higher order numerical methods for singularly perturbed problems. As compared to their lower order counterparts, they provide better accuracy with fewer mesh points. Construction and/or implementation of direct higher order methods is usually very complicated. Thus a natural choice is to use some convergence acceleration techniques, e.g., Richardson extrapolation, defect correction, etc. In this thesis, we will consider various classes of problems described by singularly perturbed ordinary and partial differential equations. For these problems, we design some novel numerical methods and attempt to increase their accuracy as well as the order of convergence. We also do the same for existing numerical methods in some instances. We find that, even though the Richardson extrapolation technique always improves the accuracy, it does not perform equally well when applied to different methods for certain classes of problems. Moreover, while in some cases it improves the order of convergence, in other cases it does not. These issues are discussed in this thesis for linear and nonlinear singularly perturbed ODEs as well as PDEs. Extrapolation techniques are analyzed thoroughly in all the cases, whereas the limitations of the defect correction approach for certain problems is indicated at the end of the thesis. / South Africa

by Tam Yue Hung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 49-52). / Abstracts in English and Chinese. / List of Tables --- p.vi / List of Figures --- p.vii / Chapter 1 --- Solving Systems of ODEs with BVMs --- p.1 / Chapter 1.1 --- Introduction --- p.1 / Chapter 1.2 --- Background --- p.4 / Chapter 1.2.1 --- Linear Multistep Formulae --- p.4 / Chapter 1.2.2 --- Preconditioned GMRES Method --- p.6 / Chapter 1.3 --- Strang-Type Preconditioners with BVMs --- p.7 / Chapter 1.3.1 --- Block-BVMs and Their Matrix Forms --- p.8 / Chapter 1.3.2 --- Construction of the Strang-type Preconditioner --- p.10 / Chapter 1.3.3 --- Convergence Rate and Operation Cost --- p.12 / Chapter 1.3.4 --- Numerical Result --- p.13 / Chapter 1.4 --- Strang-Type BCCB Preconditioner --- p.15 / Chapter 1.4.1 --- Construction of BCCB Preconditioners --- p.15 / Chapter 1.4.2 --- Convergence Rate and Operation Cost --- p.17 / Chapter 1.4.3 --- Numerical Result --- p.19 / Chapter 1.5 --- Preconditioned Waveform Relaxation --- p.20 / Chapter 1.5.1 --- Waveform Relaxation --- p.20 / Chapter 1.5.2 --- Invertibility of the Strang-type preconditioners --- p.23 / Chapter 1.5.3 --- Convergence rate and operation cost --- p.24 / Chapter 1.5.4 --- Numerical Result --- p.25 / Chapter 1.6 --- Multigrid Waveform Relaxation --- p.27 / Chapter 1.6.1 --- Multigrid Method --- p.27 / Chapter 1.6.2 --- Numerical Result --- p.28 / Chapter 1.6.3 --- Concluding Remark --- p.30 / Chapter 2 --- Restoration of Chopped and Nodded Images --- p.31 / Chapter 2.1 --- Introduction --- p.31 / Chapter 2.2 --- The Projected Landweber Method --- p.35 / Chapter 2.3 --- Other Numerical Methods --- p.37 / Chapter 2.3.1 --- Tikhonov Regularization --- p.38 / Chapter 2.3.2 --- MRNSD --- p.41 / Chapter 2.3.3 --- Piecewise Polynomial TSVD --- p.43 / Chapter 2.4 --- Numerical Result --- p.46 / Chapter 2.5 --- Concluding Remark --- p.47 / Bibliography --- p.49

Thesis in Afrikaans with summaries in Afrikaans and English / Die doel van hlerdie ondersoek is om die ekstrinsieke en intrinsieke oorsake van leermislukking met spesifieke verwysing na skole in die Windhoek stadsgebied te bepaal en om aanbevelings te doen hoe om leermislukking teen te werk. Leermislukking en druiping is onrusbarend hoog in skole in die Windhoek stadsgebied. Nadat die Ministerie van Onderwys die semi-outomatiese promoveringstelsel ingestel het, het druiping afgeneem maar leermislukking het toegeneem omdat leerders gepromoveer word sonder dat hulle sukses in die vorige graad behaal het. Volgens die literatuurstudie le die oorsake van leermislukking by die ouerhuis, die skool, die omgewing en in die leerder self. Die empiriese ondersoek toon ooreenkomste met die literatuurstudie wat betref die oorsake van leermislukking. Om die oorsake teen te werk - moet onderwysers beter opgelei word - moet die ouers meer bewus gemaak word van hulle rol in die leersukses van hulle kinders - is meer skoolgeboue en onderwysers nodig om kleiner klasse te bewerkstellig. / The purpose of this research is to establish the extrinsic and intrinsic causes of learning failure with specific reference to schools in the Windhoek municipal area and to make recommendations to counteract learning failure. Learning failure and grade failing are disconcertingly high in schools in the Windhoek municipal area. After the Ministry of Education implemented the semi-automatic promotion system, grade failing decreased, but learning failure increased because learners are promoted without achieving success in a prior grade. According to the literature study, the causes of learning failure are to be found in the home, the school, the environment, and the learner. Similarities regarding the causes of learning failure were found in the empirical investigation and the literature study. To counteract these causes • teachers should be better trained • parents should become more aware of their role in the learning success of their children • more school buildings and teachers are needed to limit class sizes.

Doctor of Philosophy / Department of Mathematics / Ivan Blank / Under the guidance of Dr. Ivan Blank, I study the obstacle problem with an elliptic operator in divergence form. First, I give all of the nontrivial details needed to prove a mean value theorem, which was stated by Caffarelli in the Fermi lectures in 1998. In fact, in 1963, Littman, Stampacchia, and Weinberger proved a mean value theorem for elliptic operators in divergence form with bounded measurable coefficients. The formula stated by Caffarelli is much simpler, but he did not include the proof. Second, I study the obstacle problem with an elliptic operator in divergence form. I develop all of the basic theory of existence, uniqueness, optimal regularity, and nondegeneracy of the solutions. These results allow us to begin the study of the regularity of the free boundary in the case where the coefficients are in the space of vanishing mean oscillation (VMO).

Digitized by Kansas Correctional Industries

Call number: LD2668 .T4 1943 U5 / Master of Science

In this thesis we develop inverse scattering algorithms towards the ultimate goal of online diagnostic methods. The aim is to detect structural changes inside power transformers and other major power grid components, like generators, shunt reactors etc. Power grid components, such as large power transformers, are not readily available from the manufacturers as standard designs. They are generally optimized for specific functions at a specific position in the power grid. Their replacement is very costly and takes a long time. Online methods for the diagnostics of adverse changes of the mechanical structure and the integrity of the dielectric insulation in power transformers and other power grid components, are therefore essential for the continuous operation of a power grid. Efficient online diagnostic methods can provide a real-time monitoring of mechanical structures and dielectric insulation in the active parts of power grid components. Microwave scattering is a candidate that may detect these early adverse changes of the mechanical structure or the dielectric insulation. Upon early detection, proper actions to avoid failure or, if necessary, to prepare for the timely replacement of the damaged component can be taken. The existing diagnostic methods lack the ability to provide online reliable information about adverse changes inside the active parts. More details about the existing diagnostic methods, both online and offline, and their limitations can be found in the licentiate thesis preceding the present PhD thesis. We use microwave scattering together with the inverse scattering algorithms, developed in the present work, to reconstruct the shapes of adverse mechanical structure changes. We model the propagation environment as a waveguide, in which measurement data can be obtained only at two ends (ports). Since we want to detect the onset of some deformation, that only slightly alters the scattering situation (weak scattering), we have linearized the inverse problem with good results. We have calculated the scattering parameters of the waveguide in the first-order perturbation, where they have linear dependencies on the continuous deformation function. A linearized inverse problem with a weak scattering assumption typically results in an ill-conditioned linear equation system. This is handled using Tikhonov regularization, with the L-curve method for tuning regularization parameters. We show that localized one-dimensional and two-dimensional shape deformations, for rectangular and coaxial waveguide models, are efficiently reconstructed using the inverse scattering algorithms developed from the first principles, i.e. Maxwell’s theory of electromagnetism. An excellent agreement is obtained between the reconstructed and actual deformation shapes for a number of studied cases. These results show that it is possible to use the inverse algorithms, developed in the present thesis, as a theoretical basis for the design of a future diagnostic device. As a part of the future work, it remains to experimentally verify the results obtained so far, as well as to further study the theoretical limitations posed by linearization (first-order perturbation theory) and by the assumption of the continuity of the metallic waveguide boundaries and their deformations. / <p>QC 20160119</p>

Published Article / This study focuses on the impact of societal change and related societal problems on the black youth of post-apartheid South Africa. It is argued that adolescents' perspectives on their future in this country could be negatively influenced by the extent of societal problems which are currently experienced in South Africa. Other findings indicate that the influence of traditional cultural norms and values on the black youth is slowly but surely diminishing. Middle class Black adolescents tend to share the general consumerism of South Africa's wealthy classes, and many are detached from the history of the struggle for political freedom. Amidst severe societal problems such as poverty, unemployment, HIV / AIDS and violent crime, the findings of an empirical investigation into the views of 391 black adolescents from a variety of socio-economic backgrounds indicate that a general spirit of optimism and independence exists, paired with a strong desire to escape the trappings of poverty and to fulfil their career and social expectations.