Research themes within the Research Group in Mathematics and its Applications

We focus on interrelated research themes within the RGMA , which are described below.

Braess’ Paradox in transport networks

Represented by Dr Vadim Zverovich, Senior Lecturer.

Our research provides an extension of previous studies on Braess’ Paradox by considering arbitrary volume-delay functions.

Co-evolution of host-pathogen systems

Represented by Dr Robert Laister, Senior Lecturer.

Host resistance imposes stress on invading pathogens that can lead to changes in the bacterial genome enabling the pathogen to escape host resistance. We have observed this phenomenon with the plant pathogen Pseudomonas syringae pv. Phaseolicola.

Decision-support system for emergency response

Represented by Dr Vadim Zverovich, Senior Lecturer.

We developed an algorithm for finding the optimal routes for search and rescue teams in a building.

Degenerate diffusion equations with delay

Represented by Dr Robert Laister, Senior Lecturer.

We are interested in the interaction between the stabilising effect of non-linear degenerate diffusion (such as porous medium type).

Mathematical models of nurse shift scheduling and rescheduling

Represented by Dr Alistair Clark, Director of Research in the Faculty of Environment and Technology (FET). 

This research develops models for nurse rostering and rerostering that consider nurses' preferences.

Mathematical models for disaster relief and humanitarian logistics

Represented by Dr Alistair Clark, Director of Research in FET.

This research develops a robust network flow model to help decide how to rapidly supply humanitarian aid to victims of a disaster within this context.

Mathematical models for production lot sizing and scheduling

Represented by Dr Alistair Clark, Director of Research in FET.

This research develops stronger formulations, as well as to incorporate real-world requirements from different applications.

Maximising security in defence sensor networks

Represented by Dr Vadim Zverovich, Senior Lecturer. 

Decision analysis can help to maximise security in sensor networks by developing and implementing autonomy within existing threat response procedures.

Modelling fluid/porous systems: from generating electricity to surgery

Represented by Dr Antony Hill, Associate Head of Department.

The flow of fluid over a porous medium represents a highly active area of research from both practical and theoretical viewpoints.

Molecular Dynamics (MD) simulation

Represented by Dr Mario Orsi, Senior Lecturer.

MD is a powerful technique to study matter at the molecular scale. We are especially interested in biomolecular systems.

Moving mesh methods

Represented by Dr Emily Walsh, Senior Lecturer.

The solution is a high proportion of mesh points in the regions of large-solution variation and few points in the rest of the domain. This means the total number of mesh points required is much smaller.

Multiple domination and limited packings in graphs

Represented by Dr Vadim Zverovich, Senior Lecturer. 

We developed an application of the probabilistic method to k-limited packings in general and to 2-packings in particular.

Nonlinear heat equations

Represented by Dr Robert Laister, Senior Lecturer.

This class of equations have many problems. We are currently pursuing issues regarding their uniqueness and the classification of blow-up types.

Numerical weather prediction

Represented by Dr Emily Walsh, Senior Lecturer.

A moving mesh method has the potential to resolve small-scale weather phenomena accurately and efficiently.

Operations and maintenance in offshore wind farms

Represented by Dr Xiaodong Li, Lecturer.

The maintenance cost reduction is a key theme in order to make offshore wind power more competitive in the energy market.

Optimal transport distance as a similarity measure for images

Represented by Michael Miller, Doctoral Researcher, and Dr Jan Van Lent, Senior Lecturer.

In our research, we have presented a numerical solution method and considered the application of image comparison.

Reilly’s gravity model in the facility location problem

Represented by Dr Krzysztof Dziekonski, Senior Lecturer.

The advantages of our proposed approach is the lack of complex calculation procedures and the ability to compare a location’s attractiveness.

Back to top