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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 the University and further afield.

We collaborate with scientists and practitioners from a wide range of disciplines including; architecture, biosciences, computer and data sciences, engineering, geology, materials science and physics.

Our research has applications in epidemiology, fertilization and embryogenesis, neurology, oncology, soft matter physics, the early detection of tsunamis and much more.

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 ACM group are summarised below. We are keen to supervise students in all these areas.

Applied analysis

Inverse problems in materials modelling and the mechanics of composites, calculus of variations and homogenisation.

Fluid dynamics

Theoretical and computational study of acoustic gravity waves, granular and geophysical flow models, and viscoelastic fluids.

Mathematical biology

The development of mathematical, computational, and statistical methods to address biological and medical problems.

Numerical analysis and scientific computing

The design, analysis, and implementation of algorithms for solving differential equations, along with advanced computational techniques for modelling and simulation in various applications.

Solid mechanics

Mathematics and mechanics of elastic and viscoelastic properties of materials, contact problems, and limiting material responses.

Meet the team

Picture of Lydia Buckingham

Dr Lydia Buckingham

Lecturer (Teaching and Scholarship)

Email
BuckinghamL2@cardiff.ac.uk
Picture of Arthur Davies

Professor Arthur Davies

Honorary Distinguished Professor

Telephone
+44 29208 75522
Email
DaviesR@cardiff.ac.uk
Picture of Usama Kadri

Dr Usama Kadri

Reader in Applied Mathematics

Telephone
+44 29208 75863
Email
KadriU@cardiff.ac.uk
Picture of Katerina Kaouri

Dr Katerina Kaouri

Reader (Associate Professor)

Telephone
+44 29208 75259
Email
KaouriK@cardiff.ac.uk
Picture of Angela Mihai

Professor Angela Mihai

Head of Applied and Computational Mathematics Group

Picture of Timothy Phillips

Professor Timothy Phillips

Chair in Applied Mathematics

Telephone
+44 29208 74194
Email
PhillipsTN@cardiff.ac.uk
Picture of John Pryce

Professor John Pryce

Emeritus Professor

Next steps

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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.

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Postgraduate research

Our research degrees give the opportunity to investigate a specific topic in depth among field-leading researchers.

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Our research impact

Our research case studies highlight some of the areas where we deliver positive research impact.