Research into the development, analysis and implementation of algorithms that harness numerical approaches to mathematical problems.
This area encompasses research into the development, analysis and implementation of algorithms that harness numerical approaches to mathematical problems. This research area is concerned with both computational mathematics (using mathematical methodology to understand discretisation and computation) and scientific computing (designing practical computational algorithms to address challenges in all areas of science and engineering).
Numerical analysis in the UK is internationally leading and this strategy aims to maintain the quality and scale of research in this area, while promoting its impact by strengthening links with applications.
We aim to have a portfolio of numerical analysis research and skills that:
- complements work undertaken at the Alan Turing Institute, especially by contributing to the key capabilities, mathematical representations and inference and learning, and creates effective tools to understand large, complex datasets and so contributes to the data-driven economy
- strengthens interdisciplinary links with mathematical analysis, operational research, and statistics and applied probability, by exploiting mathematical sciences infrastructure to develop connections across mathematical sciences
- is integrated into other relevant disciplines to enable full exploitation of opportunities offered by evolving computational architectures and increasing processing capacity – this will make use of existing mathematical sciences infrastructure to develop deeper links with other disciplines and will maximise use of existing equipment and co-ordinate requirements for equipment where possible
- includes emerging leaders, with skills transcending numerical analysis and other areas such as those related to information and communication technologies (ICT) (such as machine learning, digital signal processing) and to engineering (for example fluid dynamics and aerodynamics, materials engineering, medical imaging).