UPWT2022/1

UPWT2020/2

 
R Sieberhagen, AJ van der Merwe, NFJ van Rensburg 

AJ van der Merwe, NFJ van Rensburg, R Sieberhagen

Multi-pulse problems in thermoreflectance and bio-heat applications


Modal analysis of hyperbolic heat conduction models

R Anguelov, J Banasiak, C Bright, J Lubuma, R Ouifki

On Order Continuous Duals of Vector Lattices of Continuous Functions on Resolvable Spaces

The universal completion of C(X) and unbounded order convergence

Vector-valued interval functions and the Dedekind completion of C(X;E)

Using energy methods to compare linear vibration models

Earthquake induced oscillations of high rise buildings and other vertical structures

UPWT2015/23

NFJ van Rensburg

Locally linear Timoshenko beam model

UPWT2015/22

M Basson, NFJ van Rensburg

Finite element approximation for the transient response of a Timoshenko beam

UPWT2015/21

M Basson, B Stapelberg, NFJ van Rensburg

Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second order hyperbolic equation

UPWT2015/20

F Chirovey, AS Hassanx, I KyoMugishaz, S Djiombaz, JMunganga and SM Garba

Assessing the effectiveness of Ebola control measures in Kikwit, DRC 1995

UPWT2015/19

I Broere, LM Pretorius and J Heidema

Graph congruences and what they connote

UPWT2015/18

ML Mann Manyombe, J Mbang, B Tsanou, JM-S Lubuma

Global dynamics of a vaccination model for infectious diseases with asymptomatic carriers

UPWT2015/17

KN Dukuza

On a seasonally responsive Malaria model

UPWT2015/16

RA Aogo, B Assan, H Gaff,

VM Magagula, JMW Munganga,

J Mwambakana, I Oguoma

Impact of proximity to wildlife on the use of dipping to control Nagana in cattle

UPWT2015/15

M Chapwanya, N Hussaini, T Moto, C Mumba, and CMunongi

Mathematical modeling and analysis of Lipodystrophy syndrome in HIV-1 patients

UPWT2015/14

B Tsanou, GM Moremedi, JM-S Lubuma, N Morris, RKondera-Shava

A simple mathematical model of Ebola in Africa

UPWT2015/13

EFD Goufo, R Maritz and S Mugisha

A mathematical analysis of Ebola hemorrhagic fever spread in West African metapopulations

UPWT2015/12

L Coetzeeb, S Gatyenib, H Lutermanna, A Matussea,

F Nyabadzab and Y Terefe

Mathematical modeling and analysis of Cannabis epidemic in a South Africa province

UPWT2015/11

R Kufakunesu

On embedded options in the Lévy and stochastic volatility markets

UPWT2015/10

R Kufakunesu and C Guambe

On optimal portfolios and consumption in an n-dimensional BNS market

UPWT2015/09

CR Bambe Moutsinga, E Pindza and E Maré

Laplace transform-homotopy perturbation method for pricing under Affine pure diffusion models

UPWT2015/08

E Pindza, E Maré and JC Mba

Discrete singular convolution for the generalized variable-coefficient Korteweg-de Vries equation

UPWT2015/07

S Bowong, JM-S Lubuma and B Tsanou

Global stability of a two-patch cholera model with fast and slow transmissions

UPWT2015/06

C Guambe and R Kufakunesu

Optimal investment-consumption and life insurance with an embedded option in a jump-diffusion market

UPWT2015/05

E Pindza, JC Mba, E Maré, D Moubandjo

Lagrange regularized kernel and exponential integrators for solving time-fractional diffusion equations

UPWT2015/04

BF Nteumagné , E Pindza and E Maré

Lie symmetry treatment for pricing options with transactions costs under the fractional Brownian model

UPWT2015/02

C Guambe and R Kufakunesu

A note on optimal investment consumption insurance in a Lévy market

UPWT2015/01

A Kotze, R Oosthuizen and E Pindza

Local volatility modeling of JSE exotic can-do options

UPWT2014/16

M Basson and NFJ van Rensburg

Galerkin finite element approximation of the general linear second order hyperbolic equation

UPWT2014/15

BH Taljaard and E Maré

A comparison of benchmark indices for South African equity investors

UPWT2014/14

LM Pretorius and CJ Swanepoel

An application of designs to fingerprint comparisons

UPWT2014/13

R Kufakunesu

A note on the multi-dimensional portfolio optimization with stochastic volatility

UPWT2014/12

E Maré

Market risk management in the context of engineering asset management

UPWT2014/11

L Mabitsela, E Maré and R Kufakunesu

A note on var valuation in South African equity market

UPWT2014/10

R Kellerman

First-order aspects of tree paths

UPWT2014/09

M Borowiecki and I Broere

Hamiltonicity and generalised total colourings of planar graphs

UPWT2014/08

AA Aderogba, M Chapwanya, JK Djoko, and JM-SLubuma

Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation

UPWT2014/06

N Pesheva, N Bunzarova and J Brankov

Totally asymmetric simple exclusion process - a simple model of biological transport processes

UPWT2014/05

I Potgieter

Advection induced pattern formation in the CDIMA reaction

UPWT2014/04

I Broere and J Heidema

Universality in graph properties allowing constrained growth

UPWT2014/03

I Broere and M Pilśniak

The distinguishing index of some infinite graphs

UPWT2014/02

I Broere and T Vetrík

Universal graphs for two graph properties

UPWT2014/01

I Broere, MDV Matsoha and J Heidema

Lattices of hom-properties and H-colourability of graphs

UPWT2013/29

JH van der Walt

Linear and quasi-linear spaces of set-valued maps

UPWT2013/28

M Basson and NFJ van Rensburg

Convergence of the finite element approximation for the vibration of a Timoshenko beam with boundary damping

UPWT2013/27

JH van der Walt

The Riesz space of minimal usco maps

UPWT2013/26

JH van der Walt

The linear space of Hausdorff continuous interval functions

UPWT2013/25

M Chapwanya, JM-S Lubuma and RE Mickens

Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences

UPWT2013/24

BF Nteumagné, E Pindza and E Maré

Applying the barycentric Jacobi spectral method to price options

with transaction costs in a fractional Black-Scholes framework

UPWT2013/23

E Pindza and E Maré

Numerical solutions of generalized regularized long wave equation using Hermite distributed approximating functional method

UPWT2013/22

E Pindza and E Maré

Discrete singular convolution method for numerical solutions of fifth order Korteweg-de Vries equations

UPWT2013/20

E Pindza and E Maré

Sinc collocation method for solving the Benjamin-Ono equation

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 Vriesequation

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 Dankemann 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

HR 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 B 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 RAnguelov

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

R Anguelov, Y Dumont and JM-S Lubuma

Mathematical Modeling of Sterile Insect Technology for Control of Anopheles Mosquito

UPWT2011/07

JH van der Walt

Applications of convergence spaces to Vector Lattice Theory

UPWT2011/06

M Chapwanya, JM-S Lubuma and R Mickens

From enzyme kinetics to epidemiological models with Michaelis-Menten contact rate: Design of nonstandard finite difference schemes

UPWT2011/05

S Markov

Intervals and (non-)negative numbers

UPWT2011/04

JM-S Lubuma, EW Mureithi and Y Terefe

Analysis and dynamically consistent numerical schemes for the SIS model and related reaction diffusion equation

UPWT2011/03

JH van der Walt

The order completion method: A differential-algebraic representation

UPWT2011/02

R Kufakunesu

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

UPWT2011/01

M Chapwanya, JM-S Lubuma and R Mickens

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

UPWT2010/14

J Djoko Kamdem and PA Razafimandimby

Analysis of the Brinkman-Forchheimer equations with slip boundary conditions

UPWT2010/13

JH van der Walt

Convergence of semi-continuous functions

UPWT2010/12

I Fabris-Rotelli and S van der Walt

Applications and memory-efficient implementation of the two-dimensional discrete pulse transform

UPWT2010/11

PP Ntumba and G Panga

Presheaves of symplectic groups generated by symplectic A-transvections

UPWT2010/10

NFJ van Rensburg

Energy methods for the general linear vibration problem

UPWT2010/09

JH van der Walt

The order convergence structure

UPWT2010/08

M Basson, D Civin and NFJ van Rensburg

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

UPWT2010/07

PP Ntumba and B Chiteng

A-transvections and factorization of A-symplectomorphisms

UPWT2010/06

PP Ntumba

Complexification in A-modules

UPWT2010/05

Y Dumont, R Anguelov, JM-S Lubuma and EW Mureithi

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

UPWT2010/04

R Anguelov, E 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

JH 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

R Anguelov, Y Dumont, JM-S Lubuma and M Shillor

Dynamically consistent nonstandard finite difference schemes for epidemiological models

UPWT2009/21

PP Ntumba and A Orioha

Biorthogonality in A-pairings and hyperbolic decomposition theorem for A-modules

UPWT2009/20

PA Phiri

Methods of scaling marks

UPWT2009/19

PP Ntumba

On A-transvections and symplectic orthogonally convenient A-modules of finite (even) rank

UPWT2009/18

J Djoko Kamdem and BD Reddy

Existence results for a polymer melt with an evolving natural configuration

UPWT2009/17

G Deugoue and J Djoko Kamdem

On the time discretization for the globally modified three dimensional Navier-Stokes equations

UPWT2009/16

R Anguelov and I Fabris-Rotelli

LULU operators and discrete pulse transform for multi-dimensional arrays

UPWT2009/15

R Anguelov, Y Dumont, JM-S Lubuma and M Shillor

Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model

UPWT2009/14

R Anguelov, Y Dumont, JM-S Lubuma and M Shillor

Dynamically consistent non-standard finite difference
schemes for the MSEIR epidemiological model

UPWT2009/13

JH van der Walt

The completeness of Cc(X,Y)

UPWT2009/12

JH van der Walt

A closed graph theorem for order bounded operators

UPWT2009/11

PWM Chin, J Djoko Kamdem and JM-S Lubuma

Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain

UPWT2009/10

R Kufakunesu

The density process of the minimal entropy martingale measure in a stochastic volatility market. A PDE approach.

UPWT2009/09

PP Ntumba

Witt’s theorem in abstract geometric algebra

UPWT2009/08

J Djoko Kamdem

On the time discrete approximation of the Brinkman-Forchheimer equations

UPWT2009/07

PA Phiri and OD Makinde

A new derivative-free method for solving nonlinear equations

UPWT2009/06

R Anguelov

Structurally stable numerical schemes for applied dynamical models

UPWT2009/05

R Anguelov, JMS Lubuma and M Shillor

Topological dynamic consistency of nonstandard finite difference schemes for dynamical systems

UPWT2009/04

PP Ntumba

Duality and pairings of sheaves of modules. Cartan Dieudonn´e’s theorem

UPWT2009/03

JH van der Walt

The order completion method for systems of nonlinear PDEs: Solutions of initial value problems

UPWT2009/02

JH van der Walt

Solutions of smooth nonlinear PDEs

UPWT2009/01

N Sauer

Energy methods and the Black-Scholes Partial Differential Equation

UPWT2008/19

M de Villiers and NFJ van Rensburg

Solvability of a model for the vibration of a beam with a damping tip body

UPWT2008/18

P Ntumba

Witt’s theorem in abstract geometric algebra

UPWT2008/17

K Driver, N Mbuyi and K Jordaan

On the interlacing of zeros of linear combinations of Jacobi polynomials from different sequences

UPWT2008/16

F Toókos and K Jordaan

Interlacing theorems for the zeros of orthogonal polynomials from different sequences

UPWT2008/15

K Driver, K Jordaan and N Mbuyi

Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences

UPWT2008/14

F Toókos and K Jordaan

Mixed recurrence relations and interlacing of the zeros of some q-orthogonal polynomials from different sequences

UPWT2008/13

A Jooste and K Jordaan

Real zeros of Meixner and Krawtchouk polynomials

UPWT2008/12

R Anguelov and JH van der Walt

On spaces of set-valued maps

UPWT2008/11

PP Ntumba and A Orioha

Abstract geometric algebra. Orthogonal and symplectic geometries

UPWT2008/10

JH van der Walt

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

UPWT2008/09

R Kufakunesu

A PDE representation of the minimal entropy martingale measure in stochastic volatility markets: The time-inhomogeneous case

UPWT2008/08

R Kufakunesu and FE Benth

Pricing of exotic energy derivatives based on arithmetic spot models

UPWT2008/07

EW Mureithi and AP Bassom

On the stability of a curved geostrophic front

UPWT2008/06

R Duvenhage

Ergodicity and mixing of W*-dynamical systems in terms of joinings

UPWT2008/05

R Anguelov, JM-S Lubuma and M Shillor

Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems

UPWT2008/04

R Anguelov, J Djoko and JM-S Lubuma

Numerical schemes that preserve properties of the solutions of the Burger's equation for small viscosity

UPWT2008/03

JH van der Walt

The order completion for systems of nonlinear PDEs revisited

UPWT2008/02

A Mallios and PP Ntumba

Symplectic Reduction of Sheaves of A-modules

UPWT2008/01

R Anguelov and B Anguelov

Fast implementation of discrete transform of images.

UPWT2007/23

R Duvenhage

Joinings of W*-dynamical systems

UPWT2007/22

R Anguelov and I Plaskitt

Multi-dimensional LULU Operators

UPWT2007/21

R Anguelov and C Rohwer

LULU operators for functions of continuous argument

UPWT2007/20

M Grobbelaar-Van Dalsen

On a structural acoustic model which incorporates shear and thermal effects in the structural component.

UPWT2007/19

K Jordaan, K Driver and N Mbuyi Cimwanga

Interlacing of the zeros of Jacobi polynomials with different parameters

UPWT2007/18

K Jordaan and K Driver

Zeros of linear combinations of Laguerre polynomials from different sequences

UPWT2007/17

K Jordaan and F Tookos

Convexity of the zeros of some orthogonal polynomials and
related functions

UPWT2007/16

C Beyers, RdV Duvenhage and A Ströh

The Szemeredi 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 an Application 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

Y Dumont and JM-S Lubuma

Reliable Finite Difference Schemes for Impact Oscillators

UPWT2007/10

R 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

UPWT2007/07

JH van der Walt

The Order Completion Method for Systems of Nonlinear
PDEs: Pseudo-topological Perspectives

UPWT2007/06

J.K. Djoko, F. Ebobisse, A.T. McBride, B.D. Reddy

A Discontinuous Galerkin formulation for classical and
gradient 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 and
gradient plasticity Part 1: Formulation and analysis.

UPWT2007/04

J M-S Lubuma

Fourier Series and Integral Equation Method for the
Exterior Stokes Problem

UPWT2007/03

R Anguelov

Mathematical Modelling of Solar Glint on Water

UPWT2007/02

R. Anguelov, J.K. Djoko, P. Kama and J.M-S. Lubuma

On finite difference schemes having the correct linear
stability and dissipative properties of dynamical systems

UPWT2007/01

R Anguelov, J M.-S. Lubuma and Fr Minani

A Monotone Scheme for Hamilton-Jacobi Equations via the Nonstandard Finite Difference Method