• Ternary interpolatory subdivision 

      Van der Walt, Maria Dorothea (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: Subdivision is an important and e cient tool for rendering smooth curves and surfaces in computer graphics, by repeatedly applying a subdivision (re ning) scheme to a given set of points. In the literature, ...
    • Perturbation methods in derivatives pricing under stochastic volatility 

      Kateregga, Michael (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: This work employs perturbation techniques to price and hedge financial derivatives in a stochastic volatility framework. Fouque et al. [44] model volatility as a function of two processes operating on ...
    • Investigating credit based mechanisms for enhancing performance in wireless ad hoc networks 

      Goldberg, Ariel Shei (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: This thesis explores two key aspects of wireless ad hoc networks. The first aspect concerns the topic of stimulating cooperation between nodes in a wireless ad hoc network. The functionality of a wireless ...
    • Fourier methods for pricing early-exercise options under levy dynamics 

      Fadina, Tolulope Rhoda (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: The pricing of plain vanilla options, including early exercise options, such as Bermudan and American options, forms the basis for the calibration of financial models. As such, it is important to be ...
    • FATKID : a Finite Automaton Toolkit 

      Huysamen, Nico (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: This thesis presents the FATKID Finite Automata Toolkit. While a lot of toolkits currently exist which can manipulate and process nite state automata, this toolkit was designed to e ectively and e ...
    • Drinfeld modules and their application to factor polynomials 

      Randrianarisoa, Tovohery Hajatiana (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: Major works done in Function Field Arithmetic show a strong analogy between the ring of integers Z and the ring of polynomials over a nite eld Fq[T]. While an algorithm has been discovered to factor ...
    • Adaptive occupancy grid mapping with measurement and pose uncertainty 

      Joubert, Daniek (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: In this thesis we consider the problem of building a dense and consistent map of a mobile robot’s environment that is updated as the robot moves. Such maps are vital for safe and collision-free ...