Applied mathematics research
The Applied Mathematics research group specialises in solving problems from:
- applied mathematics
- mathematical inequalities
- networked control systems
- approximation and bounds in economics and across the engineering and science disciplines.
Research areas
Our main focus is on interdisciplinary research and application of mathematics, statistics, control theory and operational research for solving problems.
This includes:
- complex dynamical systems modelling and analysis
- reliable control systems design, robustness analysis, signal processing
- mathematical inequalities and their applications in numerical analysis
- information theory and coding
- population dynamics
- special functions theory
- probability and statistics.
Our expertise covers a broad range of fields such as:
- networked control systems with large time-delay intervals
- accurate numerical approximations and bounds in economics, statistics and general applications across the Engineering and Science disciplines
- state filtering and parameter identification for nonlinear polynomial systems
- approximation and bounds in a variety of areas including risk/ruin problems, actuarial science and populations
- approximation of special functions, divergence measures and risk measures, approximation of Riemann-Stieltjes Integral and Hilbert transform.
Research projects
- Networked control systems with large time-delay interval.
- Accurate numerical approximations and bounds in economics, statistics and general applications across the Engineering and Science disciplines.
- State filtering and parameter identification for nonlinear polynomial systems.
- Approximation and bounds in a variety of areas including risk/ruin problems, actuarial science and populations.
Partners, funders & collaborators
- DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics,University of the Witwatersrand, Johannesburg, South Africa
- Logistics and Supply Chain Management Industries
- National ICT Australia on Margin Statistics of High Throughput Sequencing
External researchers in partnership:
- Professor Pietro Cerone, Honorary Professor. La Trobe University
- Dr Eder Kikianty, University of Pretoria, South Africa
- Professor C. Buse, Polytechnic University of Timisoara, Romania
Staff & students
Read about out team, and access our researchers' biographies via links.