Browsing Research Articles (Mathematics and Applied Mathematics) by Title

Browsing Research Articles (Mathematics and Applied Mathematics) by Title

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  • Real zeros of 2F1 hypergeometric polynomials 
    Dominici, Diego; Johnston, S.J.; Jordaan, Kerstin Heidrun (Elsevier, 2013-08)
    We use a method based on the division algorithm to determine all the values of the real parameters b and c for which the hypergeometric polynomials 2F1(−n, b; c; z) have n real, simple zeros. Furthermore, we use the ...
  • The recovery theorem with application to risk management 
    Van Appel, Vaughan; Mare, Eben (South African Statistical Association, 2020)
    The forward-looking nature of option prices provides an appealing way to extract risk measures. In this paper, we extract forecast densities from option prices that can be used in forecasting risk measures. More specifically, ...
  • Reduced complexity turbo equalization using a dynamic Bayesian network 
    Myburgh, Hermanus Carel; Olivier, Jan Corne; Van Zyl, A.J. (Gusti) (Hindawi Publishing Corporation, 2012-07-09)
    It is proposed that a dynamic Bayesian network (DBN) is used to perform turbo equalization in a system transmitting information over a Rayleigh fading multipath channel. The DBN turbo equalizer (DBN-TE) is modeled on a ...
  • Reflexivity of orthogonality in A-modules 
    Ntumba, Patrice P. (Taylor and Francis, 2014-04)
    In this paper, as part of a project initiated by A. Mallios consisting of exploring new horizons for Abstract Differential Geometry (`a la Mallios), [5, 6, 7, 8], such as those related to the classical symplectic geometry, ...
  • Regime-based tactical allocation for equity factors and balanced portfolios 
    Flint, Emlyn James; Mare, Eben (Actuarial Society of South Africa, 2019)
    It is now an accepted fact that the majority of financial markets worldwide are neither normal nor constant, and South Africa is no exception. One idea that can be used to understand such markets and has been gaining ...
  • Reiterated homogenization of nonlinear pseudo monotone degenerate parabolic operators 
    Woukeng, Jean Louis (Mathematical Research Publishers, 2010)
    Reiterated deterministic homogenization problem for nonlinear pseudo monotone parabolic type operators is considered beyond the usual periodic setting. We present a new approach based on the generalized Besicovitch type ...
  • The relationship between semi-classical Laguerre polynomials and the fourth Painleve equation 
    Clarkson, P.A.; Jordaan, Kerstin Heidrun (Springer, 2014-02)
    We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlev´e equation. We show that the coefficients ...
  • Relative congruence formulas and decompositions in quasivarieties 
    Campercholi, M.A.; Raftery, James G. (Springer, 2017-11)
    Quasivarietal analogues of uniform congruence schemes are discussed, and their relationship with the equational definability of principal relative congruences (EDPRC) is established, along with their significance for ...
  • Relative discrete spectrum of W*-dynamical system 
    Duvenhage, Rocco de Villiers; King, Malcolm (Springer, 2021-01)
    A definition of relative discrete spectrum of noncommutative W*-dynamical systems is given in terms of the basic construction of von Neumann algebras, motivated from three perspectives: First, as a complementary concept ...
  • Relative weak mixing of W∗-dynamical systems via joinings 
    Duvenhage, Rocco de Villiers; King, Malcolm (Polish Academy of Sciences, Institute of Mathematics, 2019)
    A characterization of relative weak mixing in W∗-dynamical systems in terms of a relatively independent joining is proven.
  • Reliable finite element methods for self-adjoint singular perturbation problems 
    Lubuma, Jean M.-S.; Patidar, Kailash C. (NISC, 2009)
    It is well known that the standard finite element method based on the space Vh of continuous piecewise linear functions is not reliable in solving singular perturbation problems. It is also known that the solution of a ...
  • Reliable numerical schemes for a linear difusion equation on a nonsmooth domain 
    Chin, P.W.M. (Pius Wiysanyuy Molo); Djoko, J.K. (Jules Kamdem); Lubuma, Jean M.-S. (Elsevier, 2010-05)
    The solution of a linear reaction–diffusion equation on a non-convex polygon is proved to be globally regular in a suitable weighted Sobolev space. This result is used to design an optimally convergent Fourier-Finite Element ...
  • Resonance, stability and period-doubling bifurcation of a quarter-car model excited by the road surface profile 
    Siewe, M. Siewe (Elsevier, 2010)
    Stability and the steady states of the transverse motion of a quarter-car model excited by the road surface profile with non-symmetric potential is investigated. Initially, a set of slow-flow equations is derived using the ...
  • Review of a predator-prey model with two limit cycles 
    Van der Hoff, Quay; Harding, Ansie (Taylor and Francis, 2018)
    It is well-known that the Lotka–Volterra predator-prey model has a family of periodic orbits, but does not possess limit cycles and therefore the model is said to be structurally unstable. The Lotka–Volterra model is a ...
  • Risk-based optimal portfolio of an insurance firm with regime switching and noisy memory 
    Guambe, Calisto; Kufakunesu, Rodwell; Mabitsela, Lesedi (American Institute of Mathematical Sciences, 2024)
    Please read abstract in the article.
  • RNP and Lewis RNP for all 14 natural tensor norms of Grothendieck 
    Maepa, S.M. (Salthiel Malesela) (NISC, 2011)
    We classify all 14 natural tensor norms of Grothendieck according to the possession of the lack of the Radon-Nikodym property (RNP) and the Lewis Radon-Nikodym property.
  • A robust spectral integral method for solving chaotic finance systems 
    Moutsinga, Claude Rodrigue Bambe; Pindza, Edson; Mare, Eben (Elsevier, 2020-03)
    Nonlinear chaotic finance systems are represented by nonlinear ordinary differential equations and play a significant role in micro-and macroeconomics. In general, these systems do not have exact solutions. As a result, ...
  • The Ross recovery theorem with a regularised multivariate Markov chain 
    Van Appel, Vaughan; Mare, Eben (Operations Research Society of South Africa, 2018-11-04)
    Recently, Ross derived a theorem, namely the “Recovery Theorem”, that allows for the recovery of the pricing kernel and real-world asset distribution, under particular assumptions, from a forward-looking risk neutral ...
  • Safe spending rates for South African retirees 
    Mare, Eben (AOSIS Open Journals, 2016-01)
    Retirees face a difficult financial choice. They need to decide on an appropriate amount to withdraw from their retirement investment and they need to ‘optimise’ between outliving their money and living below their means. ...
  • Semilinear De Morgan monoids and epimorphisms 
    Wannenburg, Johann Joubert; Raftery, James G. (Springer, 2024-01)
    A representation theorem is proved for De Morgan monoids that are (i) semilinear, i.e., subdirect products of totally ordered algebras, and (ii) negatively generated, i.e., generated by lower bounds of the neutral element. ...