Recent Publications (2011, 2012 and 2013)

Journal articles  

2013

Van der Walt JH  Applications of convergence spaces to Vector Lattice Theory.  Topology Proceedings, 41(2013), 311-331

Djoko Kamdem J  Discontinuous Galerkin finite element discretization for steady Stokes flows with threshold slip boundary condition.  Quaestiones Mathematicae, 36(2013), 1-16

Vetrik T  Cayley graphs of given degree and diameters 3, 4 and 5.  Discrete Mathematics, 313 (2013), 213-216

Chapwanya M, Lubuma JM-S, Mickens RE  Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations.  Numerical Methods for Partial Differential Equations, 29(1)(2013), 337-360

Deugoue G  Approximation of the trajectory attractor of the 3D MHD system.  Communications on Pure and Applied Analysis, 12(5)(2013), 2119-2144

Mishra AK, Gochhayat P  Differential sandwich theorems for functions of associated with a generalization the Srivastava-Attiya operator.  Pan American Mathematical Journal, 23(1)(2013), 25-43

Gochhayat P  Convolution properties of p-valent functions associated with a generalization of the Srivastava-Attiya operator.  Journal of Complex analysis, (2013), ID 676027, 4 pages electronic article

Broere I, Heidema J  Universality for and in induced-hereditary graph properties.  Discussiones Mathematicae Graph Theory, 33(2013), 33-47

Grobler TL, Ackermann ER, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon B  An inductive approach to simulating multispectral MODIS surface reflectance time series.  IEEE Geoscience and Remote Sensing Letters, 10(3)(2013), 446-450 
 
Grobler TL, Ackermann ER, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon B  Using Page’s Cumulative Sum Test on MODIS time series to detect land cover changes.  IEEE Geoscience and Remote Sensing Letters, 10(2)(2013), 332-336

Garba SM, Safi MA, Gumel AB  Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza.  Nonlinear Analysis-Real World Applications, 14(2013), 1384-1403

Mallios A, Ntumba PP  On extending A-modules via the coefficients.  Mediterranean Journal of Mathematics, 10(2013), 73-89

Van der Walt JH  The order completion method for system of nonlinear PDEs: Solutions of initial value problems.  Abstract and Applied Analysis, (2013), Article ID 739462, 12 pages electronic article

Appadu R  Numerical solution of the 1-D advection-diffusion equation using standard and nonstandard finite difference schemes.  Journal of Applied Mathematics, (2013), Article ID 734374, 14 pages electronic article

Driver K, Jordaan K  Inequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomials.  Mathematical Modelling of Natural Phenomena: Harmonic Analysis, 8(1)(2013), 48-59

Dominici D, Johnson SJ, Jordaan K, Real zeros of Gauss hypergeometric polynomials.  Journal of Computational and Applied Mathematics, 247(2013), 152-161 

Jooste A, Jordaan K, Toókos F  On the zeros of Meixner polynomials.  Numerische Mathematik, 124(2013), 57-71 

Anguelov R, Dumont Y, Lubuma JM-S, Mureithi EW  Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model.  Mathematical Population Studies, 20(2013), 101-122

Hausenblas E, Razafimandimby PA, Sango M  Martingale solution to equations for differential type fluids of grade two driven by random force of Lévy type.  Potential Analysis, 38(2013), 1291-1331

2012

Ackermann ER, Grobler TL, Kleynhans W, Olivier JC, Salmon BP, Van Zyl AJ  Cavalieri integration.  Quaestiones Mathematica, 35(2012), 265-296

Anguelov R, Dumont, Y, Lubuma JM-S  Mathematical modeling of sterile insect technology for control of anopheles mosquito.  Computers and Mathematics with Applications, 64(2012), 374-389

Appadu AR The technique of MIEELDLD in computational aeroacoustics.  Journal of Applied Mathematics, (2012), Article ID 783101, 30 pages electronic article

Appadu AR  A note on the shock-capturing properties of some explicit and implicit schemes for solving the 1-D linear advection equation.  International Journal of Applied Mathematics and Mechanics, 8(1)(2012), 1-28

Appadu AR  Comparison of some optimisation techniques for numerical schemes discretising equations with advection terms.  International Journal of Innovative Computing and Applications, 4(1)(2012), 12-27

Brettschneider H, Anguelov R, Chimimba CT, Bastos ADS  A mathematical epidemiological model of gram-negative Bartonella bacteria: does differential ectoparasite load fully explain the differences in infection prevalence of Rattus rattus and Rattus norvegicus?  Journal of Biological Dynamics, 6(2)(2012), 763-781

Chapwanya M, Lubuma JM-S, Mickens RE  From enzyme kinetics to epidemiological models with Michaelis-Menton contact rate: Design of nonstandard finite difference schemes.  Computers and Mathematics with Applications, 64(2012), 201-213

Cheng L, Ferreira HC, Broere I  Moment balancing templates for (d,k) constrained codes and run-length limited sequences.  IEEE Transactions on Information Theory 58(4)(2012), 2244-2252

Deugoue G, Razafimandimby, PA, Sango, M  On the 3-D stochastic magnetohydrodynamic-α model.  Stochastic Processes and their Applications, 122(2012), 2211-2248

Djoko JK, Reddy BD  Existence results for a polymer melt with an evolving natural configuration.  Mathematical Models & Methods in Applied Sciences, 22(1)(2012), ID 1150004, 37 pages electronic article

Driver K, Jordaan KH  Bounds for extreme zeros of some classical orthogonal polynomials.  Journal of Approximation Theory, 164(2012), 1200-1204

Engelbrecht JC, Bergsten C, Kågesten O  Conceptual and procedural approaches to mathematics in the engineering curriculum: Student conceptions and performance.  Journal of Engineering Education, 101(1)(2012), 138-162

Gochhayat P  Sandwich-type theorems of some subclasses of multivalent functions involving Dziok-Srivastava operator.  Acta Universitatis Apulensis, 32(2012), 31-47

Grobler TL, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon BP, Penzhorn WT  Wu’s algorithm and its possible application in cryptanalysis.  African Journal of Mathematics and Computer Science Research, 5(1)(2012), 1-8

Grobler TL, Ackermann ER, Olivier JC, van Zyl AJ, Kleynhans W  Land cover separability analysis of MODIS time series data using a combined simple harmonic oscillator and a mean reverting stochastic process.  IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 5(3)(2012), 857-866

Harding AF, Engelbrecht JC  Navorsing oor voorgraadse wiskundeonderrig: ’n Suid-Afrikaanse perspektief.  Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie, 31(1)(2012), 1-7

Holdsworth C, Maré E  Currency management in the new economy: Some explanations for USD/ZAR movements.  The South African Treasurer: Special issue on Managing Treasury in the New Economy (TMI Special report), 2012, 12-15

Khrennikov AY, Rosinger EE, Van Zyl AJ  Graded tensor products and the problem of tensor grade computation and reduction.  p-Adic Numbers, Ultrametric Analysis and Applications, 4(1)(2012), 20-26

Myburgh HC, Olivier JC, Van Zyl AJ  Reduced complexity turbo equalization using a dynamic Bayesian network.  EURASIP Journal on Advances in Signal Processing, 136(2012), 1-20

Ntumba PP  Cartan’s proof for Darboux theorem in A-modules.  Quaestiones Mathematicae, 35(2012), 259-264

Ntumba PP  The symplectic Gram-Schmidt theorem and fundamental geometries for A-modules.  Czechoslovak Mathematical Journal, 62(137)(2012), 265-278

Ntumba PP  Clifford A-algebras of quadratic A-modules.  Advances in Applied Clifford Algebras, 22 (2012), 1093-1107

Razafimandimby PA, Sango M  Strong solution for a stochastic model of two-dimensional second grade fluids: Existence, uniqueness and asymptotic behaviour.  Nonlinear Analysis-Theory Methods & Applications, 75(2012), 4251-4270

Razafimandimby PA, Sango M, Woukeng JL  Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: the almost periodic framework.  Journal of Mathematical Analysis and Applications, 394(2012), 186-212

Razafimandimby PA, Sango M  Convergence of a sequence of solutions of the stochastic two-dimentional equations of second grade fluids.  Asymptotic Analysis, 79(2012), 251-272

Razafimandimby PA, Sango M  On the exponential behaviour of stochastic evolution equations for Non-Newtonian fluids.  Applicable Analysis, 91(2)(2012), 2217-2233

Safi MA, Garba SM  Global stability analysis of SEIR model with Holling type II incidence function.  Computational and Mathematical Methods in Medicine, (2012) Article ID 826052, 8 pages electronic article

Sieberhagen RH, Van Rensburg NFJ  Tracking a sharp crested wave front in hyperbolic heat transfer.  Applied Mathematical Modelling, 36(2012), 3399-3410

Tadmon C, Tchapnda SB  On the spherically symmetric Einstein-Yang-Higgs equations in Bondi coordinates.  Proceedings of the Royal Society A (Proc. R. Soc. A), 468(2012), 3191-3214

Van der Walt JH  Convergence of sequences of semi-continuous functions.  Journal of Mathematical Analysis and Applications, 388(2012), 739-752

Wood L, Mather G, Petocz P, Reid A, Engelbrecht J, Harding A, Houston K, Smith G, Perrett G  University students’ views of the role of mathematics in their future.  International Journal of Science and Mathematics Education, 10(1)(2012), 99-119
 
2011

Anguelov R, Lubuma JM-S, Shillor M  Topological dynamic consistency of non-standard finite difference schemes for dynamical systems.   Journal of Difference Equations and Applications, 17(12)(2011), 1769-1791

Bearden AF, Driver K, Jordaan KH,  Zeros of polynomials embedded in a orthogonal sequence.  Numerical Algorithms, 57(3)(2011), 399-403

Chapwanya M, Clark CD, Fowler AC  Numerical computations of a theoretical model of a ribbed moraine formation.  Earth Surface Processes and Landforms, 36(2011), 1105-1112

Deugoue G, Djoko Kamdem J  On the time discretization for the globally modified three dimensional Navier-Stokes equations.  Journal of Computational and Applied Mathematics, 235(2011), 2015-2029

Deugoue G, Sango M  Weak solutions to stochastic 3D Navier-Stokes-α model of turbulence: α-Asymptotic behavior.  Journal of Mathematical Analysis and Applications, 384(2011), 49-62

Djoko Kamdem J  On the time discrete approximation of Brinkman-Forchheimer equations.  Mathematical Methods in the Applied Sciences, 34(2011), 1487-1498

Driver K, Jooste A, Jordaan K Stieltjes interlacing of zeros of Jacobi polynomials from different sequences.  Electronic Transactions on Numerical Analysis  38 (2011), 317-326

Driver K, Jordaan KH  Stieltjes interlacing of zeros of Laguerre polynomials from different sequences.  Indagationes Mathematicae, 21(2011), 204-211

Garba S, Gumel A, Lubuma JM-S  Dynamically-consistent non-standard finite difference method for an epidemic model.  Mathematical and Computer Modelling, 53(2011), 131-150

Garba SM, Imran M, Mohammed TM  Deterministic model for the role of antivirals in controlling the spread of the H1N1 influenza pandemic.  Electronic Journal of Differential Equations, 155(2011), 1-21

Goranko V, Kellerman R  Classes and theories of trees associated with a class of linear orders.  Logic Journal of the IGPL, 19(1)(2011), 217-232

Harding A, Engelbrecht JC, Verwey A  Implementing Supplemental Instruction (SI) for a large group in mathematics.  International Journal for Mathematics Education in Science and Technology, 42(7)(2011), 847-856

Jordaan JH, Dominici D, Driver K Polynomial solutions of differential-difference equations. Journal of Approximation Theory, 163(2011)  41-48

Khrennikov AY, Van der Walt JH  On topological extensions of Archimedean and non-Archimedean rings.  p-Adic Numbers, Ultrametric Analysis and Applications, 3(4)(2011), 326-333

Kufakunesu R  The density process of the minimal entropy martingale measure in a stochastic volatility market. A PDE approach.  Quaestiones Mathematicae, 34(2011), 147-174

Maepa SM  RNP and Lewis RNP for all 14 natural tensor norms of Grotendieck.  Quaestiones Mathematicae, 34(2011), 85-91

Ntumba PP Complexification in A-modules.  Rendiconti del Circolo Matematico di Palermo, 60(2011), 173-180

Ntumba PP, Anyaegbunam AC  A-transvections and Witt’s theorem in symplectic A-modules.  Mediterranean Journal of Mathematics, 8(2011), 509-524

Padayachee P, Boshoff H, Olivier W, Harding A  A blended learning Grade 12 intervention using DVD technology to enhance the teaching and learning of mathematics.  Pythagoras, 32(1)(2011), 19-26

Pretorius LM, Swanepoel, KJ  Embedding a Latin square with transversal into a projective space.  Journal of Combinatorial Theory, Series A, 118(2011), 1674-1683

Sauer N  The dynamic piston problem in classical nonlinear acoustics.  Mathematical Models and Methods in the Applied Sciences, 21(1)(2011), 149-167

Sango M, Woukeng JL  Stochastic two-scale convergence of an integral functional.  Asymptotic Analysis 73(1-2)(2011), 97-123

Sango M, Svanstedt N, Woukeng JL  Generalized Besicovitch spaces and applications to deterministic homogenization.  Nonlinear Analysis- Theory Methods & Applications,74(2011), 351-379

Sango M, Woukeng JL  Stochastic Σ-convergence and applications.  Dynamics of Partial Differential Equations, 8(4)(2011), 261-310

Van der Walt JH  Solutions of smooth nonlinear partial differential equations.  Abstract and Applied Analysis (2011), ID 658936, 37 pages electronic article

Books / Chapters in Books

2012

Tadmon C  Sur les équations d'Einstein-Yang-Mills-Higgs:  Problème de Cauchy dans un domaine délimité par deux hypersurfaces caractéristiques sécantes.  Editions Universitaires Européennes (EUE), AV Akademikerverlag GmbH & Co. KG, Saarbrücken 2012, (133 pp), ISBN: 978-3-8381-8631-3

2011