By applying a mixture of modelling and mathematical analysis to experiments, our Industrial Mathematics research delivers insights into the roles of different physical mechanisms within a given process – and in doing so, allows us to develop practical solutions and provide guidance that is improving practices across a range of areas in science and industry.
In particular, we provide recommendations on how to improve the current generation of devices used in renewable energy – such as batteries and solar cells – and give guidance on how future generations of these devices might be designed. We've also applied our research methods to projects focusing on glass manufacture, coffee brewing and signal propagation in neurons.
Outputs from our research are regularly published in leading applied mathematics journals, such as the SIAM Journal on Applied Mathematics (SIAP), as well as in journals aimed at practitioners, including the Journal of Power Sources, and Energy and Environmental Science.
Our research covers the following topics
- Mathematical modelling
- Differential equations
- Scientific computing
- Asymptotic methods
The central research method used within the Industrial Mathematics research area is mathematical modelling. This allows us to capture a range physical processes in the languages of mathematics – which most commonly results in a system of partial differential equations. These model equations are then typically analysed via a combination of asymptotic methods and scientific computing.
Partnerships and funders
Our work is frequently funded by major funding organisations such as the Engineering and Physical Sciences Research Council (EPSRC), the Faraday Institution, and Innovate UK. We also have strong links with partner institutions including Imperial College London, University College London, and the Universities of Oxford, Southampton, Warwick, Birmingham, Bath and Lancaster.
insights from a coupled charge transport/ion migration model; Energy Environ. Sci. (2019), 12, 396, DOI: 10.1039/c8ee01576g, Nicola E. Courtier, James M. Cave, Jamie M. Foster, Alison B. Walker and Giles Richardson
Journal of the Electrochemical Society, Volume 165, Issue 9, 2018, Giles Richardson, Jamie Foster, Athinthra Sethurajan, Sergey Krachkovskiy, Ion Halalay, Gillian Goward, Bartosz Protas
Applied Mathematical Modelling, 2018, Volume 63, p.329-348, Nicola E. Courtier, Giles Richardson, Jamie Foster
Discover our areas of expertise
Industrial mathematics is one of our 2 areas of research expertise in Mathematics – explore the other area below.
Interested in a PhD in Mathematics?
Browse our postgraduate research degrees – including PhDs and MPhils – at our Mathematics postgraduate research degrees page.