Our research in the area of applied and computational mathematics is informed by problems at the interface with physical sciences, biological sciences and engineering and there are many productive interdisciplinary collaborations within Cardiff University and further afield. Interdisciplinary collaborators at Cardiff University include colleagues in Biosciences, Earth and Environmental Sciences, and Engineering.
Our national and international collaborators include research groups at Barcelona, Oxford, Cambridge, MIT, Manchester, Edinburgh, Cyprus, Duke, Mexico City
Our research has applications in the early detection of tsunamis, deep water transportation, granular flows such as debris avalanches, subsea landslides and pharmaceutical powder processing, biomechanics, materials science, process engineering, calcium signalling in fertilization and embryogenesis, magnetic targeting for bio applications and other biofluids challenges, morphogenesis, cellular motion, Stochastic dynamics, neurobiology, oncology.
The group hosts the Cardiff University Student Chapter of the Society for Industrial and Applied Mathematics and the Institute of Mathematics and its Applications (SIAM-IMA Student Chapter) which encompasses postgraduate students and faculty members from across the University who are interested in mathematics or scientific computing and their real-world applications.
Research
The main areas of research within the current group are:
Theoretical and applied fluid mechanics
Free-surface flows, dynamics of liquid films and jets, hydrodynamic stability theory, laminar-turbulent transition mechanisms, boundary-layer and wake flow instabilities, acoustic-gravity waves, viscoelastic flows, bubble dynamics, constitutive modelling of polymeric liquids, granular flow, geophysical flow modelling, non-Brownian suspensions.
Mathematics and mechanics of solids
Nonlinear elasticity, nonlinear viscoelasticity, contact problems, limit states analysis, constitutive modelling in materials science, strain-limiting theory of material response.
Mathematical biology
The development of mathematical, computational and statistical methods to address biological and medical problems.
Applied analysis
Inverse problems in materials modelling, homogenisation and the mechanics of composites. Calculus of variations.
Numerical analysis and scientific computing
The development and analysis of algorithms for the numerical solution of partial differential applications.
We are keen to supervise students in these areas. To give a more specific flavour of our work to date, recent examples of PhD topics supervised by our group include:
- Stochastic finite strain analysis of inhomogeneous hyperelastic solids
- Underwater earthquake characterization by acoustic radiation analysis
- Stochastic modelling and analysis of homogeneous hyperelastic solids
- Debonding and stretching of biogenic cellular structures
- Linear stability and transient behaviour of viscoelastic fluids in boundary layers
- Efficient spectral element methods for partial differential equations
- Droplet dynamics on heterogeneous surfaces
- Theoretical and computational modelling of compressible and non-isothermal viscoelastic fluids.
Meet the team
Professor John Pryce
Emeritus Professor
Events
Seminars
For an up-to-date programme of online talks, please see our calendar of events
Past events
Applied and Computational Mathematics Seminars 2019-20
Applied and Computational Mathematics Seminars 2018-19
Applied and Computational Mathematics Seminars 2017-18
Next steps
Research that matters
Our research makes a difference to people’s lives as we work across disciplines to tackle major challenges facing society, the economy and our environment.
Postgraduate research
Our research degrees give the opportunity to investigate a specific topic in depth among field-leading researchers.
Our research impact
Our research case studies highlight some of the areas where we deliver positive research impact.