You can study for an MPhil over one year or a PhD over the course of three years.
MPhil & PhD
There are postgraduate research opportunities in all of our five research groups:
- Applied Analysis
- Continuum Mechanics & Industrial Mathematics
- Numerical Analysis and Scientific Computing
- Population Modelling & Epidemiology
- Stochastic Analysis
You can study an MRes in:
- Mathematical Sciences
Postgraduate Certificate in Researcher Professional Development (PG Cert RPD) programme
As part of your PhD degree, you'll be enrolled on the Postgraduate Certificate in Researcher Professional Development (PG Cert RPD).
This certificate is designed to support you with your research and rewards you for things you'll do as a research student here.
It'll help you improve skills which are important to professional development and employability:
- the knowledge and intellectual abilities to conduct your research
- the personal qualities to succeed in your research and chosen career
- the standards, requirements and conduct of a professional researcher in your discipline
- working with others and communicating the impact of your research to a wide range of audiences
All you have to do is plan these activities alongside your doctorate, documenting and reflecting your journey to success along the way.
Novel Preconditioned Iterative Methods for Radial Basis Linear Systems
This project will develop effective solvers for linear systems in these RBF methods. In particular, we will focus on certain iterative methods (Krylov subspace methods) that start with an initial guess of the solution that is improved at each step.
Mathematical Modelling and Analysis of Thin-Film Flows
The proposed project will use a variety of analytical and numerical methods to bring new understanding into a range of real-world problems involving thin films of both simple and complex fluids.
In recent years there has been an explosive growth of interest in the behaviour and control of fluids at small (typically sub-millimetre) scales motivated by a range of novel applications including ink-jet printing and lab-on-a-chip technologies.
How and Why of Matrix Balancing
Matrix balancing aims to transform a nonnegative matrix A by a diagonal scaling by matrices D and E so that P = DAE has prescribed row and column sums. Historical motivation for achieving the balance has included interpreting economic data, preconditioning sparse matrices and understanding traffic circulation.
Mathematical modelling of active fluids
This project will use the theories of liquid crystal fluids to model self-organisation and pattern formation in an active fluid - a type of liquid containing active organisms which interact with the fluid by swimming.
Flow of groundwater in soils with vegetation and variable surface influx
This project will use mathematical models of soil water and the growth of plants. Even for plants with complicated root densities we will look for analytical solutions of the models to help understand plant growth.
Numerical Methods for SDEs under the Local Lipschitz Condition
The aims of this PhD is to develop the truncated EM method are to study the strong convergence in finite-time for SDEs under the generalised Khasminskii condition and its convergence rate and to investigate the numerical stability of the nonlinear SDEs.
Stochastic Modelling of Saving Accounts Linked to Stock Market
This project is to perform the stochastic and numerical analysis on the stock market linked savings accounts in order to establish the theory on the mean percentage of return (MPR).
Time-dependent Scattering Problems
Time dependent wave propagation and scattering is important in acoustics, electromagnetics and seismology.
Modelling the life history and dispersal of the alien seaweed Sargassum muticum in Scottish coastal waters
In this project, you will meet with the challenge of developing and testing an individual based model to simulate the life history and dispersal of Sargassum muticum driven by coastal ocean currents.
What is the role of discarding in the dynamics of the demersal fish community of the Firth of Clyde?
The purpose of this project is to conduct a comprehensive extraction and synthesis of all the relevant data for demersal fish species in the Firth of Clyde.
Protecting our seas using computers - Modelling and forecasting the expansion of a highly invasive seaweed
In this project, you will meet with the challenge of developing an individual based model to simulate the growth and dispersal of a highly invasive seaweed (Japanese eelgrass) driven by coastal ocean currents.