Lecturer in Mathematics
School of Science & Computing - Dept Computing & Mathematics
+353 0 051 302068
Room 327 1969 - Main Building
My main area of research is in Systems with Hysteresis, in particular the development of mathematical models that account for hysteresis in physical problems, such as in porous media.
I have been funded by the following projects to enable to research in this area:
SFI Grant 05/RFP/ENG0062, awarded to Prof. J.P. O’Kane to support my PhD: €120,300. “The Prediction and Identification problems for hysteretic multiphase flows through porous media - an exploration of methods using a simple differential equation with hysteresis (Preisach operator).”
I developed numerical solution schemes to solve a difficult class of ODEs with rate-independent hysteresis to model the flow of water through multiphase porous media.
Using these developed solution schemes, I solved identification type inverse problems, i.e. by taking input and output data which exhibited hysteresis; I was able to estimate the model parameters using global optimisation techniques.
IRCSET Postdoctoral Scheme: Numerical and Analytical Optimisation of ODEs with Preisach Hysteresis. Principal Investigator, UCC, 2008-2010: €83,100.
This project focused on optimising the numerical solution of the hysteretic ODEs that I developed during my PhD, as these equations were time consuming to solve numerically.
NAIRTL Project: “Development and implementation of two project based courses “Mathematical Modelling for Biologists; a collaborative project between the Department of Zoology, Ecology and Plant Science, and the Department of Applied Mathematics”
I worked with colleagues to design new courses and materials for the research led teaching of mathematics to the students of biological sciences at both undergraduate and postgraduate level.
WIT PhD Scholarship Programme 2015: "Modelling the Flow of Fluids in Three Dimensional Porous Media with Hysteresis Operators". €48,000.
The focus of this project is on expanding the understanding and building of new mathematical models of rate independent hysteresis in porous media. In particular this project will look at predicting the preferential flow of liquids in porous media in both two and three dimensions with these models.
Waterford Institute of Technology, Waterford, Ireland
Assistant Lecturer, 2014-2016
University College Cork, Cork, Ireland
Grinds Tutor for students for UCC and CIT, 2012-2013:
Research Development Manager, 2011-2013:
Assistant Lecturer PT, 2005-2011:
Peer reviewed journals and conference proceedings
Non Peer reviewed
Conference and seminar presentations