Applied and Computational Mathematics Research Group
Our research in applied and computational mathematics includes: theoretical and applied fluid mechanics, mathematics and mechanics of solids, mathematical biology, applied analysis, and numerical analysis and scientific computing.
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.
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.
The development of mathematical, computational and statistical methods to address biological and medical problems.
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.
Head of Group
Professor Tim Phillips
Chair in Applied Mathematics
- +44 (0)29 2087 4194
Dr Mikhail Cherdantsev
- +44 (0)29 2087 5549
Professor Russell Davies
Honorary Distinguished Professor
- +44 (0)29 2087 4827
Dr Usama Kadri
Senior Lecturer in Applied Mathematics
- 029 208 75863
Dr Katerina Kaouri
- +44 (0)29 2087 5259
Dr Angela Mihai
Reader in Applied Mathematics
Professor John Pryce
- +44 (0)29 2087 4207
Dr Thomas Woolley
- +44 (0)29 2087 0618
Dr Alexander Pretty
- +44 29225 13201
Dr Yasemin Sengul Tezel
Lecturer in Applied Mathematics
- +33 (0)6 6049 7231
Layla Sadeghi Namaghi
For an up-to-date programme of online talks, please see our calendar of events
Applied and Computational Mathematics Seminars 2019-20
Applied and Computational Mathematics Seminars 2018-19
Applied and Computational Mathematics Seminars 2017-18
Applied and Computational Mathematics Seminars 2016-17