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
Professor John Pryce
Emeritus Professor
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.