Computational methods and multidisciplinary applications

Our research is centred along three main axes: computational and data-driven methods, applied analysis, and multidisciplinary applications. We combine rigorous analysis of mathematical and numerical methods with their application to science, engineering and industry.
We are leading the EPSRC Centre for Doctoral Training  MAC-MIGS which offers a fully-funded PhD programme focused on the formulation, analysis and implementation of state-of-the-art mathematical and computational models. MAC-MIGS is supported by more than 35 partners from business, industry and government agencies with which have established strong collaborative links. We participate actively in the Turing Institute  with five Turing Fellows among our staff.
 
Our research is funded by a broad variety of sources: UKRI (EPSRC, NERC), US Office of Naval Research, US National Institute of Standards & Technology, German Research Foundation DFG, Leverhulme Trust and many others. 

Computational and data-driven methods

We develop, implement and analyse new algorithms for deterministic and stochastic models, machine learning, inverse problems, image processing and more, delivering software for high-performance computing.

Multidisciplinary applications of mathematics

We build and analyse mathematical models to address challenges of key areas of science and engineering including materials (microstructure and dislocations in materials, metamaterials),  biology and ecology (cancer evolution, ecological modelling, spatiotemporal dynamics of cell populations in physiology and medicine), molecular dynamics and chemistry, fluid dynamics, astrophysics and geophysics (porous media, rare event modelling, ocean/atmosphere dynamics) .

Applied analysis

We work on partial differential and stochastic differential equations, dynamical systems, inverse problems and asymptotics, in close interactions with staff of the Analysis & Probability Theme.

Seminars

We run a dynamic seminar series. For details, please see the events calendar.

Staff

Antal, Tibor
University of Edinburgh
Ball, John
Heriot-Watt University
Banjai, Lehel
Heriot-Watt University
Boulton, Lyonell
Heriot-Watt University
Bourne, David
Heriot-Watt University
Branicki, Michal
University of Edinburgh
Cummins, Cathal
Heriot-Watt University
Duncan, Dugald
Heriot-Watt University
Gimperlein, Heiko
Heriot-Watt University
Goddard, Ben
University of Edinburgh
Higham, Des
University of Edinburgh
King, Stuart
University of Edinburgh
Knops, Robin
Heriot-Watt University
Lacey, Andrew
Heriot-Watt University
Linkmann, Moritz
University of Edinburgh
Loisel, Sebastian
Heriot-Watt University
Lord, Gabriel
Heriot-Watt University
Mackay, Tom
University of Edinburgh
Maddison, James
University of Edinburgh
Malham, Simon
Heriot-Watt University
Mollison, Denis
Heriot-Watt University
Olde Daalhuis, Adri
University of Edinburgh
Ottobre, Michela
Heriot-Watt University
Page, Jacob