99 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Oakland UniversityUS4 papers
- Wayne State UniversityUS4 papers
- Swaziland National Trust CommissionSZ3 papers
- University of SaskatchewanCA2 papers
- African Institute for Mathematical SciencesZA1 paper
- Kwame Nkrumah University of Science and TechnologyGH1 paper
- Perimeter InstituteCA1 paper
- Stellenbosch UniversityZA1 paper
- Syracuse UniversityUS1 paper
- University of AlbertaCA1 paper
14 papers
Uncovering liquid-substrate fluctuation effects on crystal growth and disordered hyperuniformity of two-dimensional materials
S. K. Mkhonta, Zhi-Feng Huang, K. R. Elder
We investigate the growth of two-dimensional (2D) crystals on fluctuating surfaces using a phase field crystal model that is relevant on atomic length and diffusive time scales. Mo…
Remote and Rural Connectivity: Infrastructure and Resource Sharing Principles
Thembelihle Dlamini, Sifiso Vilakati
As Mobile Networks (MNs) are advancing towards meeting mobile users requirements, the rural-urban divide still remains a major challenge. While areas within the urban space (metrop…
Quantum Corrections to Solitons in the Model
I. Takyi, M. K. Matfunjwa, H. Weigel
We compute the vacuum polarization energy of kink solitons in the model in one space and one time dimensions. There are three possible field potentials that have eight powe…
MEC-enabled Energy Cooperation for Sustainable 5G Networks Exploiting the Location Service API
Thembelihle Dlamini
The substantial growth in wireless data traffic, and the emergence of delay-sensitive application/services requiring ultra-low latency, has resulted into a new Mobile Network (MN)…
Phase ordering, transformation, and grain growth of two-dimensional binary colloidal crystals: A phase field crystal modeling
Doaa Taha, S. R. Dlamini, S. K. Mkhonta +2
The formation and dynamics of a wide variety of binary two-dimensional ordered structures and superlattices are investigated through a phase field crystal model with sublattice ord…
Manifold-Topology from K-Causal Order
Rafael D. Sorkin, Yasaman K. Yazdi, Nosiphiwo Zwane
To a significant extent, the metrical and topological properties of spacetime can be described purely order-theoretically. The relation has proven to be useful for this purpo…
Grain Boundary Structures and Collective Dynamics of Inversion Domains in Binary Two-Dimensional Materials
Doaa Taha, S. K. Mkhonta, K. R. Elder +1
Understanding and controlling the properties and dynamics of topological defects is a lasting challenge in the study of two-dimensional materials, and is crucial to achieve high-qu…
Higher Order Aitken Extrapolation with Application to Converging and Diverging Gauss-Seidel Iterations
Ababu Teklemariam Tiruneh
Aitken extrapolation normally applied to convergent fixed point iteration is extended to extrapolate the solution of a divergent iteration. In addition, higher order Aitken extrapo…
Exploring the complex world of two-dimensional ordering with three modes
Simiso Mkhonta, Ken Elder, Zhi-Feng Huang
The world of two-dimensional crystals is of great significance for the design and study of structural and functional materials with novel properties. The world of two-dimensional c…
A three point formula for finding roots of equations by the method of least squares
Ababu Teklemariam Tiruneh, William N. Ndlela, Stanley J. Nkambule
A new method of root finding is formulated that uses a numerical iterative process involving three points. A given function y = f(x) whose roots are desired is fitted and approxima…
A Two-Point Newton Method suitable for non-convergent Cases and with Super-Quadratic Convergence
Ababu Teklemariam Tiruneh
An iterative formula based on Newton Method alone is presented for the iterative solutions of equations that ensures convergence in cases where the traditional Newton Method may fa…
Continuous Selections and finite C-spaces
Vesko Valov
Characterizations of paracompact finite -spaces via continuous selections are given. We apply these results to obtain some properties of finite -spaces. Factorization theorem…
Extension dimension and refinable maps
Alex Chigogidze, Vesko Valov
Extension dimension is characterized in terms of -maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is al…
Universal metric spaces and extension dimension
Alex Chigogidze, Vesko Valov
For any countable -complex and a cardinal number we construct a completely metrizable space of weight with the following properties: $\e X(K,τ)\leq K$…