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 E Zeekoei, Mr J Zeelie

Ongoing projects:

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

 

Algebra, Topology and Combinatorics

Researchers involved: Dr G Goosen, Dr Elham Mehdi-Nezhad

Ongoing projects:

  • Algebraic Combinatorics
  • Quantum Field Topology (Theoretical)

 

Mathematical Physics and related Mathematical Structures

Researchers involved: Dr G Goosen, Prof Chaudry Masood Khalique, Prof L E 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 Chaudry Masood Khalique, Dr Gabriel Magalakwe, Dr Gerald Marewo, Dr Rodrigue Yves M’pika Massoukou,  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

 

Differential Equations and Dynamical Systems

Researchers involved:  Prof Chaudry Masood Khalique,  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, Dr Marike Cockeran Dr Gerrit Grobler, Dr Shawn Liebenberg, Dr Charl Pretorius, Prof Leonard Santana, Dr Marius Smuts, Dr 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, Dr Charl Pretorius, Prof Leonard Santana, Prof Francois van Graan, Dr 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, Dr Gerrit Grobler, Dr Marius Smuts, Dr Jaco Visagie

Completed and on-going projects:

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