Welcome to Stellenbosch University

​​​​​​​​​​​​​​​​Applied Mathematics Division​

The contents and teaching methods of the postgraduate programmes are geared towards the demands set by industry, and new developments in the subject area itself. The research programmes of the Applied Mathematics Division are strengthened by the Division's extensive collaboration with the Faculty of Engineering.


​​Discrete mathematics

The focus is on graph theory, specifically domination, independence and irredundance in graphs.

Fluid flow modelling

This field concentrates on the analytical and numerical modelling of various aspects of single and multiphase transport of Newtonian and non-Newtonian fluids in different types of porous media. Applications include water seepage through rocks and soils, sediment transport and filtration processes. Various projects on the analysis of extreme events and time series analysis in the coastal zone are conducted.

Numerical methods and computation

Algorithms for scientific computing are developed and analysed. These algorithms include methods for solving differential equations and performing matrix computations. These algorithms are fundamental to just about every conceivable scientific application. Specific areas of interest include the computation of integral transforms and special functions, spectral methods for differential equations, and the computation of wave phenomena. Another area of interest is the numerical modelling of mechanical aspects of biological materials.

applied machine learning

The study, development and implementation of machine learning techniques for various applications in computer vision, image processing, robotics, biometric recognition systems, time series analysis and predictive modelling.


Research on Markov processes for modelling physical systems and on numerical methods for simulating these systems, with a focus on rare or extreme events that arise with a very low probability or frequency.


This area deals with complex deterministic nonlinear dynamics (e.g. deterministric chaos) and stochastic dynamics. When components of a system can take independent decisions, their dynamics can be modelled using game theory. Large systems are represented as complex networks of interactions. The structure and dynamics of such networks can describe a large variety of systems ranging from biology, engineering, sociology, and economics.

Application Process