Research projects

Functional Analysis, Operator Theory and Applied Linear Algebra

Researchers involved: Prof G Groenewald, Dr D Janse van Rensburg, Prof LE Labuschagne, Prof S ter Horst, Dr M van Straaten, Dr E Zeekoei, Dr J Zeelie

Ongoing projects:

  • Banach spaces
  • Operator Algebras
  • Operator Control Theory
  • Applied Linear Algebra

 

Algebra, Topology and Combinatorics

Researchers involved: Dr G Goosen, Dr Jissy Nsonde-Nsayi, Prof P Ntumba, Prof O Olela Otafudu

Ongoing projects:

  • Algebraic Combinatorics 
  • Homeomorphism expansive maps
  • Point-free topology
  • Quadratic Forms, Azumaya Algebras over Schemes
  • Quantum Field Topology (Theoretical)
  • Topological entropy

 

Mathematical Physics and related Mathematical Structures

Researchers involved: Dr G Goosen, Prof LE Labuschagne, Dr Phali Lehlohonolo, Dr G Magalakwe,  Dr Carel Olivier.

Ongoing projects:

  • Noncommutative analysis
  • Quantum Field Topology (Physical)
  • Theoretical Fluid Dynamics
  • Soliton theory
  • Astrophysics
  • Nonlinear Schrodinger equations

 

Modelling

Researchers involved: Prof Roelof Coetzer, Dr Gabriel Magalakwe, Dr Gerald Marewo, Dr Carel Olivier, Prof Suares Clovis Oukouomi Noutchie, Prof I Schoeman, Dr Jean Yves Semegni, Dr Patrick M Tchepmo Djomegni,  Dr Michel Djouosseu Tenkam

Ongoing projects:

  • Life Science Modelling
  • Transport Modelling
  • Financial Modelling
  • Process Modelling

 

Environmental Mathematics

Research leader: Dr Patrick M Tchepmo Djomegni

Researchers involved: Prof Clovis Oukouomi Noutchie, Prof Rachid Ouifki, Dr Gabriel Magalakwe

International collaborators: International collaborators: Prof Julien Arino (University of Manitoba, Canada), Prof Stephanie Portet (University of Manitoba, Canada), Dr Henri Tonnang (International Centre of Insect Physiology and Ecology, Kenya), Prof Mahamat S Daoussa Haggar (L2MIAS, University of N’Djamena, Chad), Sophie Dabo-Niang (University of Lille, France)

Ongoing projects:

  • Disease Modelling and Climate Change Linkage 
  • Veterinary Epidemiology and Public Health

 

Differential Equations and Dynamical Systems

Researchers involved:  Dr Phali Lehlohonolo, Dr Gabriel Magalakwe, Miss Christina Majola, Dr Gerald Marewo, Mr Oscar Sivenathi Mbusi, Dr Tshepo Mogorosi, Dr Letlhogonolo Moleleki, Mr Malefane Mphakalasi, Dr Rodrigue Yves M’pika Massoukou, Dr Carel Olivier, Prof Suares Clovis Oukouomi Noutchie, Dr Jean Yves Semegni, Dr Patrick M Tchepmo Djomegni,  Dr Michel Djouosseu Tenkam

Ongoing projects:

  • Dynamical systems
  • Differential Relations
  • Ordinary differential equations
  • Partial differential equations
  • Fractional differential equations
  • Numerical methods for differential equations
  • Conservation laws
  • Lie group analysis of differential equations

 

Goodness-of-fit testing and change point problems

Researchers involved: Prof James Allison, Prof Marike Cockeran, Prof Gerrit Grobler, Dr Shawn Liebenberg, Prof Leonard Santana, Dr Marius Smuts, Dr Carl van Heerden, Prof Jaco Visagie

Completed and on-going projects:

  • Classical goodness-of-fit testing in the i.i.d. paradigm
  • Goodness-of-fit testing in survival models
  • Change point detection in panel data with stationary regressors
  • Change point detection in the two-sample setting
  • Testing for symmetry
  • Stein type characterisations in goodness-of-fit testing

 

Non-parametric statistical methods

Researchers involved: Prof James Allison, Dr Shawn Liebenberg, Prof Leonard Santana, Prof Francois van Graan, Dr Carl van Heerden, Prof Jaco Visagie

Completed and on-going projects:

  • Choices of tuning parameters in hypothesis testing
  • Bootstrap based hypothesis testing
  • Methods for constructing bootstrap confidence intervals
  • m-out-of-n bootstrap techniques
  • Analysis of circular data

 

Financial statistics

Researchers involved: Prof James Allison, Prof Gerrit Grobler, Dr Marius Smuts, Prof Jaco Visagie

Completed and on-going projects:

  • Option pricing models
  • Jump detection in financial time series
  • Stability in credit risk measures
  • Price optimisation

 

Multivariate Data Analysis and Modelling

Researchers involved: Prof Roelof Coetzer, Dr Shawn Liebenberg, Dr Carel Olivier

Completed and on-going projects:

  • Multivariate Statistical Process Monitoring (MSPM)
  • Fault Detection in MSPM
  • Variable contribution analysis in MSPM
  • Non-parametric estimation of multivariate control limits
  • Multivariate process monitoring and modelling of compositional data

 

Optimal Design of Experiments

Researchers involved: Prof Roelof Coetzer, Dr Shawn Liebenberg

Completed and on-going projects:

  • Optimal designs for non-linear models
  • Optimal sequential designs for statistical learning models
  • Design and analysis of computer experiments
  • Optimal designs for experiments in mixtures