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Department of Mathematics and Applied Mathematics

UPWT2013/22 E Pindza and E Maré Discrete singular convolution method for numerical solutions of fifth order Korteweg-de Vries equations
UPWT2013/21 JK Djoko and M Mbehou A global attractor for the Brinkman-Forchheimer
equations with nonlinear slip boundary conditions of friction type
UPWT2013/20 E Pindza and E Maré Sinc collocation method for solving the Benjamin-Ono equation
UPWT2013/19 JK Djoko

On the time approximation of the Stokes equations with slip boundary condition

UPWT2013/18 JK Djoko Locking free DGFEM for elastic rods of arbitrary geometry
UPWT2013/17 JK Djoko and M Mbehou

Finite element analysis of the stationary Power-Law Stokes equations driven by friction boundary conditions

UPWT2013/16 JK Djoko and M Mbehou

On the numerical solution of the stationary Power-Law Stokes equations: A penalty finite element approach

UPWT2013/15 JM-S Lubuma, EW Mureithi and YA Terefe

Nonstandard discretizations of the SIS epidemiological model with and without diffusion

UPWT2013/14 E Pindza and E Maré Discrete singular convolution and exponential time integrators for solving the generalized Korteweg-de Vries equation
UPWT2013/13 AJ van Zyl Finite Elements and financial derivatives: a survey
and an implementation
UPWT2013/12 T Vetrik Abelian Cayley graphs of given degree and diameter 2 and 3
UPWT2013/11 S Mukwembi and T Vetrik Wiener index of trees of given order and diameter at most 6
UPWT2013/10  P Dankelmann and T Vetrik  The degree-diameter problem for claw-free graphs and hypergraphs
UPWT2013/09 I Broere and J Heidema Universality for and in induced-hereditary graph properties
UPWT2013/08 I Broere and E Drgas-Burchardt Unique factorization of compositive hereditary graph properties
UPWT2013/07 I Broere and J Heidema Constructing an abundance of Rado graphs
UPWT2013/06 I Broere and J Heidema Some universal directed labelled graphs
UPWT2013/05 I Broere, J Heidema and P Mihók Constructing universal graphs for induced-hereditary graph properties
UPWT2013/04 I Broere and J Heidema Induced-hereditary graph properties, homogeneity, extensibility and universality
UPWT2013/03 I Broere and J Heidema Universal H-colourable graphs
UPWT2013/02 I Broere, J Heidema and P Mihók Universality in graph properties with degree restrictions
UPWT2013/01 I Broere and MJ Dorfling The property of k-colourable graphs is uniquely
decomposable
UPWT2012/12 H Thackeray Numerical methods to approximate p-adic roots
UPWT2012/11 WS Lee and N Sauer An algebraic-analytic setting for intertwined families of evolution operators
UPWT2012/10 R Kufakunesu

Optimal investment models with stochastic volatility and portfolio constraints: the time inhomogeneous case

UPWT2012/09 R Kufakunesu and AJ van Zyl

A note on variance reduction for Monte Carlo simulation for the Schwartz stochastic volatility model

UPWT2012/08 R Anguelov, Y Dumont and JM-S Lubuma On nonstandard finite difference schemes in biosciences
UPWT2012/07 PF du Preez and E Maré

 A new method for interpolating yield curve data, with applications to the South African market

UPWT2012/06 PP Ntumba Symplectic A-transvections as generators of the symplectic group sheaf
UPWT2012/05 PP Ntumba

On the group sheaf of A-symplectomorphisms

UPWT2012/04 PP Ntumba Reflexivity of orthogonality in A-modules
UPWT2012/03 GL Panga and PP Ntumba Presheaves of symplectic groups generated by symplectic A-transvections
UPWT2012/02 PP Ntumba and Yizengaw On extending the algebra sheaf A of an A-module and adjoint associativity of HomA and tensor product
UPWT2012/01 M Abel and PP Ntumba Universal problem for Kähler differentials in A-modules: non-commutative and commutative cases
UPWT2011/09 ADS Bastos, H Brettchneider, CT Chimimba and R Anguelov 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?
UPWT2011/08 Roumen Anguelov, Yves Dumont and Jean Lubuma Mathematical Modeling of Sterile Insect Technology for Control of Anopheles Mosquito
UPWT2011/07 Jan Harm van der Walt Applications of Convergence Spaces to Vector Lattice Theory
UPWT2011/06 Michael Chapwanya, Jean Lubuma and Ronald Mickens From enzyme kinetics to epidemiological models with Michaelis-Menten contact rate: Design of nonstandard finite difference schemes
UPWT2011/05 Svetoslav Markov Intervals and (non-)negative numbers
UPWT2011/04 Jean Lubuma, Eunice Mureithi and Yibeltal Terefe Analysis and dynamically consistent numerical schemes for the SIS model and related reaction diffusion equation
UPWT2011/03 Jan Harm van der Walt The order completion method: A differential-algebraic representation
UPWT2011/02 Rodwell Kufakunesu A note on variance reduction for Monte Carlo simulation for the Schwartz stochastic volatility model
UPWT2011/01 Michael Chapwanya, Jean Lubuma and Ronald Mickens

Non-standard finite difference schemes for Michaelis-Menten type reaction diffusion equations

UPWT2010/14 Jules Djoko and Paul Razafimandimby Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
UPWT2010/13 Jan Harm van der Walt Convergence of semi-continuous functions
UPWT2010/12 Inger Fabris-Rotelli and Stéfan van der Walt Applications and memory-efficient implementation of the two-dimensional discrete pulse transform
UPWT2010/11 Patrice Ntumba and Gregoire Panga

Presheaves of symplectic groups generated by symplectic A-transvections

UPWT2010/10 Nic van Rensburg Energy methods for the general linear vibration problem
UPWT2010/09 Jan-Harm van der Walt The order convergence structure
UPWT2010/08 Madelein Basson, Damon Civin and Nic van Rensburg

Using the Timoshenko beam theory to determine the applicability of the Euler-Bernoulli beam theory

UPWT2010/07 Patrice Ntumba and Benoit Chiteng

A-transvections and factorization of A-symplectomorphisms

UPWT2010/06 Patrice Ntumba Compexification in A-modules
UPWT2010/05 Yves Dumont, Roumen Anguelov, Jean Lubuma and Eunice Mureithi

Stability analysis and dynamics preserving non-standard finite difference schemes for a Malaria model

UPWT2010/04 Roumen Anguelov and Evgenia Popova

Reliable simulations for dynamical models in the applied sciences

UPWT2010/03

R Anguelov, PW Butler, CH Rohwer and M Wild

The output distribution of important LULU-operators

UPWT2010/02 Jan Harm van der Walt

Singularities in Space-time Foam Algebras

UPWT2010/01 R Anguelov and I Fabris-Rotelli

Properties of the discrete pulse transform for multi-dimensional arrays

UPWT2009/23 SM Garba, AB Gumel and JM-S Lubuma Dynamically consistent nonstandard finite difference method for an epidemic model
UPWT2009/22 Roumen Anguelov, Yves Dumont, Jean Lubuma and Meir Shillor Dynamically consistent nonstandard finite difference schemes for epidemiological models
UPWT2009/21 Patrice Ntumba and Adaeze Orioha Biorthogonality in A-pairings and hyperbolic decomposition theorem for A-modules
UPWT2009/20 Patrick Phiri Methods of scaling marks
UPWT2009/19 Patrice Ntumba On A-transvections and symplectic orthogonally convenient A-modules of finite (even) rank
UPWT2009/18  Jules Djoko and BD Reddy Existence results for a polymer melt with an evolving natural configuration 
UPWT2009/17 Gabriel Deugoue and Jules Djoko On the time discretization for the globally modified three dimensional Navier-Stokes equations
UPWT2009/16 Roumen Anguelov and Inger Fabris-Rotelli LULU operators and discrete pulse transform for multi-dimensional arrays
UPWT2009/15 Roumen Anguelov, Yves Dumont, Jean Lubuma and Meir Shillor Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model 
UPWT2009/14 Roumen Anguelov, Yves Dumont, Jean Lubuma and Meir Shillor  Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model
UPWT2009/13 Jan Harm van der Walt  The completeness of Cc(X,Y)
UPWT2009/12 Jan Harm van der Walt A closed graph theorem for order bounded operators
UPWT2009/11 Pius Chin, Jules Djoko Kamdem and Jean Lubuma Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain
UPWT2009/10 Rodwell Kufakunesu The density process of the minimal entropy martingale measure in a stochastic volatility market. A PDE approach
UPWT2009/09 Patrice Ntumba Witt's theorem in abstract geometric algebra
UPWT2009/08 Jules Djoko Kamdem On the time discrete approximation of the Brinkman-Forchheimer equations
UPWT2009/07 Patrick Phiri and OD Makinde A new derivative-free method for solving nonlinear equations
UPWT2009/06 Roumen Anguelov Structurally Stable Numerical Schemes for Applied Dynamical Models
UPWT2009/05 Roumen Anguelov, Jean Lubuma and Meir Shillor Topological dynamic consistency of nonstandard finite difference schemes for
dynamical systems
UPWT2009/04  Patrice Ntumba Duality and Pairings of Sheaves of Modules. Cartan Dieudonn´e’s Theorem
UPWT2009/03  Jan Harm van der Walt The Order Completion Method for Systems of Nonlinear PDEs: Solutions of Initial Value Problems              
UPWT2009/02  Jan Harm van der Walt Solutions of smooth nonlinear PDEs
UPWT2009/01  Niko Sauer

Energy Methods and the Black-Scholes Partial Differential Equation

UPWT2008/19 

Magdaline de Villiers and Nic van Rensburg

Solvability of a model for the vibration of a beam with a damping tip body
UPWT2008/18 Patrice Ntumba

Witt’s Theorem in Abstract Geometric Algebra

UPWT2008/17 Kathy Driver, Norbert Mbuyi and Kerstin Jordaan On the interlacing of zeros of linear combinations of Jacobi polynomials from different sequences
UPWT2008/16 Ferenc Toókos and Kerstin Jordaan Interlacing theorems for the zeros of orthogonal polynomials from different sequences
UPWT2008/15 Kathy Driver, Norbert Mbuyi and Kerstin Jordaan                          Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences
UPWT2008/14 Ference Toókos and Kerstin Jordaan Mixed reccurence relations and interlacing of the zeros of some q-orthogonal polynomials from different sequences
UPWT2008/13 Alta Jooste and Kerstin Jordaan Real zeros of Meixner and Krawtchouk polynomials
UPWT2008/12 Roumen Anguelov and Jan Harm van der Walt On spaces of set-valued maps
UPWT2008/11 Patrice Ntumba and Adeaza Orioha Abstract geometric algebra. Orthogonal and symplectic geometries
UPWT2008/10

Jan Harm van der Walt

The order completion method for systems of nonlinear PDEs. Regularity of generalized solutions

UPWT2008/09

Rodwell Kufakunesu

A PDE representation of the minimal entropy martingale measure in stochastic volatility markets: The time-inhomogeneous case
UPWT2008/08 Rodwell Kufakunesu and FE Benth Pricing of exotic energy derivatives based on arithmetic spot models
UPWT2008/07 Eunice Mureithi and AP Bassom On the stability of a curved geostrophic front
UPWT2008/06 Rocco Duvenhage Ergodicity and mixing of W*-dynamical systems in terms of joinings
UPWT2008/05 Roumen Anguelov, Jean Lubuma and Meir Shillor Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems
UPWT2008/04 Roumen Anguelov, Jules Djoko and Jean Lubuma Numerical schemes that preserve properties of the solutions of the Burger's equation for small viscosity
UPWT2008/03

Jan Harm van der Walt

The order completion for systems of nonlinear PDEs revisited
UPWT2008/02 Anastasios Mallios and Patrice Ntumba Symplectic Reduction of Sheaves of A-modules
UPWT2008/01 Roumen Anguelov and Bogomil Anguelov Fast implementation of discrete transform of images.
UPWT2007/23

Rocco Duvenhage

Joinings of W*-dynamical systems

UPWT2007/22

Roumen Anguelov and Inger Plaskitt Multi-dimensional LULU Operators
UPWT2007/21 Roumen Anguelov and Carl Rohwer LULU operators for functions of continuous argument
UPWT2007/20 Marié Grobbelaar-Van Dalsen On a structural acoustic model which incorporates shear and thermal effects in the structural component.
UPWT2007/19

Kerstin Jordaan, Kathy Driver and N Mbuyi Cimwanga

Interlacing of the zeros of Jacobi polynomials with differentparameters
UPWT2007/18 Kerstin Jordaan and Kathy Driver Zeros of linear combinations of Laguerre polynomials fromdifferent sequences
UPWT2007/17 Kerstin Jordaan and Ferenc Tookos Convexity of the zeros of some orthogonal polynomials andrelated functions
UPWT2007/16

Conrad Beyers, Rocco Duvenhage and Anton Ströh

The Szemerédi property in ergodic W*-dynamical systems
UPWT2007/15 J H van der Walt Generalized Solutions to Nonlinear First-order Cauchy Problems
UPWT2007/14 J H van der Walt On the Completion of Uniform Convergence Spaces and anApplication to Nonlinear PDEs
UPWT2007/13 J H van der Walt The Order Convergence Structure on Archimedean f-Algebras
UPWT2007/12 J H van der Walt The Uniform Order Convergence Structure on ML(X)
UPWT2007/11 Yves Dumont and Jean M-S Lubuma Reliable Finite Difference Schemes for Impact Oscillators
UPWT2007/10 Rocco Duvenhage A mean ergodic theorem for actions of amenable quantum
groups
UPWT2007/09 A. Labuschagne, N.F.J. van Rensburg and A. J. van der Merwe Comparison of linear beam theories
UPWT2007/08 A. Labuschagne, N.F.J. van Rensburg and A. J. van der Merwe Natural frequencies and modes of a
Reissner-Mindlin-Timoshenko plate-beam system
UPWT2007/02 R. Anguelov, J.K. Djoko, P. Kama and J.M-S. Lubuma On finite difference schemes having the correct linearstability and dissipative properties of dynamical systems
UPWT2007/06 J.K. Djoko, F. Ebobisse, A.T. McBride, B.D. Reddy A Discontinuous Galerkin formulation for classical andgradient plasticity Part 2: Algorithms and numerical analysis.
UPWT2007/05 J.K. Djoko, F. Ebobisse, A.T. McBride, B.D. Reddy A Discontinuous Galerkin formulation for classical andgradient plasticity Part 1: Formulation and analysis.
UPWT2007/04 Jean M-S Lubuma Fourier Series and Integral Equation Method for theExterior Stokes Problem
UPWT2007/03 Roumen Anguelov Mathematical Modelling of Solar Glint on Water
UPWT2007/07 Jan Harm van der Walt The Order Completion Method for Systems of NonlinearPDEs: Pseudo-topological Perspectives
UPWT2007/01 Roumen Anguelov, Jean M.-S. Lubuma and Froduald Minani A Monotone Scheme for Hamilton-Jacobi Equations via theNonstandard Finite Difference Method
UPWT2006/12 J M-S LUBUMAand KAILASH C PATIDAR -UNIFORM NON-STANDARD FINITE DIFFERENCE METHODS FOR SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEMS
UPWT2006/11 ROCCO DUVENHAGE BERGELSON'S THEOREM FOR WEAKLY MIXING C-DYNAMICAL SYSTEMS
UPWT2006/10 J K DJOKO DISCONTINUOUS GALERKIN METHODS FOR VARIATIONAL INEQUALITIES OF THE FIRST AND SECOND KIND
UPWT2006/09 YVES DUMONT and JEAN LUBUMA NON-STANDARD FINITE DIFFERENCE SCHEMES FOR MULTIDIMENSIONAL SECOND-ORDER SYSTEMS IN NONSMOOTH MECHANICS
UPWT2006/08 R ANGUELOV, JK DJOKO and J M-S LUBUMA ENERGY PROPERTIES PRESERVING FINITE DIFERENCE SCHEMES FOR BURGER'S EQUATION.
UPWT2006/07 CONRAD BEYERS, ROCCO DUVENHAGE and ANON STRöH THE SZEMEREDI PROPERTY FOR COMPACT C*-DYNAMICAL SYSTEMS
UPWT2006/06 ROCCO DUVENHAGE EVOLUTION INTEGRALS
UPWT2006/05 J.M-S. LUBUMA AND K.C. PATIDAR NON-STANDARD METHODS FOR SINGULARLY PERTURBED PROBLEMS POSSESSING OSCILLATORY/LAYER SOLUTIONS
UPWT2006/04 R. ANGUELOV, J.M-S. LUBUMA AND F. MINANI TOTAL VARIATION DIMINISHING NONSTANDARD FINITE DIFFERENCE SCHEMES FOR CONSERVATION LAWS
UPWT2006/03 R. ANGUELOV AND O.F.K. KALENDA THE CONVERGENCE SPACE OF MINIMAL USCO MAPPINGS
UPWT2006/02 MARIé GROBBELAAR-VAN DALSEN UNIFORM STABILIZATION OF A NONLINEAR STRUCTURAL ACOUSTIC MODEL WITH INTERFACE A TIMOSHENKO BEAM
UPWT2006/01 LOU PRETORIUS AND KONRAD SWANEPOEL ’N VERALGEMEENDE SYLVESTER-GALLAI-STELLING
UPWT2005/16 KAILASH PATIDAR and ALBERT SHIKONGO DEVELOPING RELIABLE NUMERICAL METHOD VIA ASYMPTOTIC ANALYSIS FOR A MODEL SINGULAR PERTURBATION PROBLEM
UPWT2005/15 JEAN M-S LUBUMA and KAILASH PATIDAR TOWARDS THE IMPLEMENTATION OF THE SINGULAR FUNCTION METHOD FOR THE SINGULAR PERTURBATION PROBLEM
UPWT2005/14 JEAN M-S LUBUMA and KAILASH PATIDAR SOLVING SINGULARLY PERTURBED ADVECTION REACTION EQUATIONS VIA NON-STANDARD FINITE DIFFERENCE METHODS
UPWT2005/13 JAN HARM VAN DER WALT A BANACH-STEINHAUS THEOREM FOR ¾ -ORDER CONTINUOUS OPERATORS
UPWT2005/12 NIKO SAUER EXTENDED HELMHOLTZ-WEYL DECOMPOSITION
UPWT2005/11 JEAN M-S LUBUMA and KAILASH C PATIDAR RELIABLE FINITE ELEMENT METHODS FOR SELF-ADJOINT SINGULAR PERTURBATION PROBLEMS
UPWT2005/10 CONRAD BEYERS, ROCCO DUVENHAGE and ANTON STR OH A VAN DER CORPUT LEMMA AND WEAK MIXING OVER GROUPS
UPWT2005/09 MARIé GROBBELAAR-VAN DALSEN ON A STRUCTURAL ACOUSTIC MODEL WITH INTERFACE A REISSNER-MINDLIN PLATE OR A TIMOSHENKO BEAM
UPWT2005/08 A B GUMEL, K C PATIDAR & R J SPITERI ASYMPTOTACLLY CONSISTENT NON-STANDARD FINITE DIFFERENCE METHODS FOR SOLVING MATHEMATICAL MODELS ARISING IN POPULATION BIOLOGY
UPWT2005/07 RICHARD DE BEER, ROCCO DUVENHAGE and ANTON STRöH NONCOMMUTATIVE RECURRENCE OVER LOCALLY COMPACT HAUSDORFF GROUPS
UPWT2005/06 JEAN M-S LUBUMA and KAILASH C PATIDAR CONTRIBUTIONS TO THE THEORY OF NON-STANDARD FINITE DIFFERENCE METHODS AND APPLICATIONS TO SINGULAR PERTURBATION PROBLEMS
UPWT2005/05 KAILASH C PATIDAR A SURVEY ON APPLICATIONS OF NONSTANDARD FINITE DIFFERENCE METHODS
UPWT 2005/04 ROUMEN ANGUELOV and JAN HARM VAN DER WALT ORDER CONVERGENCE STRUCTURE ON C(X)
UPWT 2005/03 ROUMEN ANGUELOV and FRODUALD MINANAI INTERVAL VICOSITY SOLUTIONS OFHAMILTON-JACOBI EQUATIONS
UPWT 2005/02 ROUMEN ANGUELOV, SVETOSLAV MARKOV and BLAGOVEST SENDOV THE SET OF HAUSDORFF CONTINUOUS FUNCTIONS — THE LARGEST LINEAR SPACE OF INTERVAL FUNCTIONS COMLETION METHOD
UPWT 2005/01 KAILASH C PATIDAR E-UNIFORM FOURTH ORDER-FITTED MESH NUMERICAL METHOD FOR THE SELF-ADJOINT SINGULAR PERTURBATION PROBLEMS
UPWT 2004/14 W L FOUCHé, L M PRETORIUS and C J SWANEPOEL THE RAMSEY DEGREES OF BIPARTITE GRAPHS: A PRIMITIVE RECURSIVE PROOF
 
UPWT 2004/13 LOU M PRETORIUS and KONRAD J SWANEPOEL SYLVESTER-GALLAI THEOREMS FOR COMPLEXNUMBERS AND QUATERNIONS
UPWT 2004/12 LOU M PRETORIUS and KONRAD J SWANEPOEL BLOCKING SETS IN SMALL FINITE LINEAR SPACES
UPWT 2004/11 YVES DUMONT and JEAN M-S LUBUMA NON-STANDARD FINITE DIFFERENCE METHODSFOR VIBRO-IMPACT PROBLEMS
UPWT 2004/10 JEAN M-S LUBUMA and KAILASH C PATIDAR NON-STANDARD FINITE DIFFERENCE METHODS FOR DISSIPATIVE SINGULAR PERTURBATION PROBLEMS
UPWT 204/09 R ANGUELOV, P KAMA and M-S LUBUMA ON NON-STANDARD FINITE DIFFERENCE MODELSOF REACTION-DIFFUSION EQUATIONS
UPWT 2004/08 JEAN M-S LUBUMA and KAILASH C PATIDAR UNIFORMLY COVERGENT NON-STANDARD FINITE DIFFERENCE METHOD FOR SELF-ADJOINT SINGULAR PERTURBATION PROBLEMS
UPWT 2004/07 KAILASH C PATIDAR E-UNIFORM SECOND AND FOURTH ORDER FITTED OPERATOR NUMERICAL METHOD FOR THE SELF-ADJOINT SINGULAR PERTURBATION PROBLEMS
UPWT 2004/06 ROUMEN ANGUELOV and ELEMER E ROSINGER HAUSDORFF CONTINUOUS SOLUTIONS OFNONLINEAR PDEs THROUGH THE ORDER
COMPLETION METHOD
UPWT 2004/05 ROUMEN ANGUELOV AN INTRODUCTION TO SOME SPACES OF INTERVAL FUNCTIONS
UPWT 2004/04 ENGELBRECHT JC and HARDING AF TEACHING UNDERGRADUATE MATHEMATICS ON THE INTERNET. PART 2: ATTRIBUTES AND POSSIBILITIES
UPWT 2004/03 ENGELBRECHT JC and HARDING AF TEACHING UNDERGRADUATE MATHEMATICS ON THE INTERNET. PART 1: TECHNOLOGIES AND TAXONOMY
UPWT 2004/02 ELEMER E ROSINGER RECONSIDERING CONFLICT AND COOPERATION (REVISED VERSION)