Browsing Research Articles (Mathematics and Applied Mathematics) by Title

Browsing Research Articles (Mathematics and Applied Mathematics) by Title

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  • Quadratic Hamilton–Poisson systems on se(1,1)∗− : the Inhomogeneous case 
    Barrett, D.I.; Biggs, Rory; Remsing, C.C. (Springer, 2018-04)
    We consider equivalence, stability and integration of quadratic Hamilton–Poisson systems on the semi-Euclidean Lie–Poisson space se(1,1)∗−. The inhomogeneous positive semidefinite systems are classified (up to affine ...
  • Quantifying assays : inhibition of signalling pathways of cancer 
    Anguelov, Roumen; Manjunath, Gandhi; Phiri, Avulundiah Edwin; Nyakudya, Trevor Tapiwa; Bipath, Priyesh; Serem, June Cheptoo; Hlophe, Yvette Nkondo (Oxford University Press, 2023-09)
    Please read abstract in the article.
  • Quantitative guidelines for retiring (more safely) in South Africa 
    Van Appel, Vaughan; Mare, Eben; Van Niekerk, Andries (Actuarial Society of South Africa, 2021-01-01)
    In this paper we present guidelines for safe withdrawal rates from a living annuity (income drawdown accounts), periodically, to cover living expenses. In essence, a retiree is faced with the risk management problem of ...
  • Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials 
    Johnston, S.J.; Jordaan, Kerstin Heidrun (Elsevier, 2015-04)
    In this paper, we prove the quasi-orthogonality of a family of 2F2 polynomials and several classes of 3F2 polynomials that do not appear in the Askey scheme for hypergeometric orthogonal polynomials. Our results include, ...
  • Quasi-orthogonality of some hypergeometric and q-hypergeometric polynomials 
    Tcheutia, Daniel D.; Jooste, Alta; Koepp, Wolfram (National Academy of Science of Ukraine, 2018-05-23)
    Please read abstract in the article.
  • Quasi-orthogonality of some hypergeometric polynomials 
    Johnston, S.J.; Jordaan, Kerstin Heidrun; Jooste, Alta (Taylor and Francis, 2016)
    The zeros of quasi-orthogonal polynomials play a key role in applications in areas such as interpolation theory, Gauss-type quadrature formulas, rational approximation and electrostatics. We extend previous results on ...
  • The quest for a characterization of hom-properties of finite character 
    Broere, Izak; Matsoha, Moroli D.V.; Heiema, Johannes (De Gruyter Open, 2016)
    A graph property is a set of (countable) graphs. A homomorphism from a graph G to a graph H is an edge-preserving map from the vertex set of G into the vertex set of H; if such a map exists, we write G → H. Given any ...
  • 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 ...