Applied and Computational Mathematics
What we do
Research activities in our group cover a wide range of topics, many related to:
- Partial and ordinary differential equations
- Stochastic differential equations
- Dynamical systems
- Continuum mechanics
- Statistical mechanics
- Machine learning
Our research includes mathematical analysis, modelling, and the development and analysis of new numerical methods.
- A wide range of applications includes:
- complex multiphase flow in porous media and reservoirs
- electromagnetism
- magnetohydrodynamics
- meteorology
- finance
- neuroscience
- population and disease dynamics
- geophysical systems
- combustion
- phase transitions and free-boundary problems
- and more general industrial and social modelling
We have expertise in the full range of numerical techniques with research in:
- numerical linear algebra
- the discretization of elliptic partial differential equations (PDEs)
- time dependent PDEs and stochastically forced PDEs
- ordinary differential equations (ODEs) and stochastically forced ODEs
- integral equations.
- Finite and boundary element methods
We co-organise a regular and very active with the University of Edinburgh School and Mathematics under the umbrella of the .
The group is closely associated and involved with the running of two EPSRC centres of doctoral training: and the earlier MIGSAA CDT.
We have close links with other groups in the School:
- Analysis & PDEs
- Mathematics of Information and Data Science
- Mathematical Biology & Ecology
- Probability & Statistics
Group Members
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