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Browsing Research Articles (Mathematics and Applied Mathematics) by Issue Date
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Wentzel, D.C.
(Investment Analysts Society of Southern Africa, 2007)
No abstract available
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Wood, Leigh N.; Harding, Ansie
(Taylor & Francis, 2007-01)
Measurement of the quality of teaching activities is becoming increasingly important since universities are rewarding performance in terms of promotion, awards and bonuses and research is no longer the only key performance ...
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Harding, Ansie; Engelbrecht, Johann
(Taylor & Francis, 2007-01-07)
This paper, the second of a two part article, expands on an idea that appeared in literature in the 1950s to show that by resticting the domain to those complex numbers that map onto real numbers, representations of functions ...
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Swanepoel, Konrad Johann; Pretorius, Lou M. (Lourens Martin)
(Suid Afrikaanse Akademie vir Wetenskap & Kuns, 2007-03)
Ons gee 'n algoritmiese bewys vir die kontrapositief van die volgende stelling wat onlangs deur die outeurs bewys is:
Laat S 'n eindige versameling van punte in die vlak wees, met elke punt rooi, blou of met beide kleure ...
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Schoombie, S.W.; Mare, Eben
(Society for Industrial and Applied Mathematics, 2008)
In this paper several Nystrom methods for the van der Pol equation are considered.
In an earlier study by Cai, Aoyagi, and Abe it was shown that the second order Nystrom, or leapfrog, method fails to approximate the limit ...
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Ibijola, E.A.; Lubuma, Jean M.-S.; Ade-Ibijola, O.A.
(Academic Journals, 2008-02)
In this paper, we present the theory of non-standard finite difference schemes which can be used to solve some initial value problems in ordinary differential equations. Methods of construction and mode of implementation ...
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Deugoue, Gabriel; Sango, Mamadou
(Hindawi, 2009)
We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent
flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz
conditions. The adequate ...
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Anguelov, Roumen; Rohwer, Carl (Carl H.)
(NISC, 2009)
The LULU operators, well known in the nonlinear multiresolution analysis of sequences, are extended to functions defined on a continuous domain, namely, a real interval. We show that the extended operators replicate the ...
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Driver, Kathy (Cathryn Helena Stanford); Jordaan, Kerstin Heidrun; Mbuyi, Norbert
(NISC, 2009)
Please read abstract in article.
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Driver, Kathy (Cathryn Helena Stanford); Jordaan, Kerstin Heidrun
(Elsevier, 2009)
We study interlacing properties of the zeros of two types of linear combinations of Laguerre polynomials with different parameters, namely Rn = Lαn + aL α’n and Sn = Lαn + bLα’n-1. Proofs and numerical counterexamples are ...
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Labuschagne, A.; Van Rensburg, N.F.J.; Van der Merwe, A.J.
(Elsevier, 2009)
In this paper, we consider a plate-beam system in which the Reissner-Mindlin plate model is combined with the Timoshenko beam model. Natural frequencies and vibration modes for the system are calculated using the finite ...
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Jordaan, Kerstin Heidrun; Tookos, Ferenc
(Elsevier, 2009)
We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical ...
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Anguelov, Roumen; Lubuma, Jean M.-S.; Minani, Froduald
(Elsevier, 2009)
Nonstandard finite difference schemes for conservation laws preserving the property of
diminishing total variation of the solution are proposed. Computationally simple implicit schemes are derived by using nonlocal ...
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Anguelov, Roumen; Kalenda, O.F.K.
(Springer, 2009)
A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are ...
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Combrinck, M.
(Elsevier, 2009)
The S-layer differential transform produces subsurface conductivity-depth images from Time Domain Electromagnetic (TDEM) data. It is a very fast method, but suffers from high noise levels due to the implementation of two ...
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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 ...
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Harding, Ansie
(Suid Afrikaanse Akademie vir Wetenskap & Kuns, 2009-12)
The outcomes based education (OBE) system is characterised by controversy and the 2008 matric
results that rendered admission to an unusually large number of students did nothing to silence
critics. The first students ...
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Mare, Eben
(Investment Analysts Society of Southern Africa, 2009-12)
Derivative securities are frequently priced within the Black-Scholes methodology. Theoretically this entails maintaining a hedge
consisting of the underlying asset and cash which needs to be rebalanced continuously. In ...
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Chapwanya, Michael; Stockie, John M.
(American Geophysical Union, 2010)
This is a computational study of gravity-driven fingering instabilities in unsaturated porous
media. The governing equations and corresponding numerical scheme are based on the work of Nieber et al. (2003) in which ...
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Razafimandimby, Paul Andre; Sango, Mamadou
(Hindawi Publishing Corporation, 2010)
We initiate the investigation of a stochastic system of evolution partial differential equations
modelling the turbulent flows of a second grade fluid filling a bounded domain of R2. We establish
the global existence of ...