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Applied and Computational Mathematics Research Group

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.

Our national and international collaborators include research groups at Imperial, Oxford, Cambridge, Warwick, Swansea, Canberra, Curtin (Perth), Perth, Delft, Northwestern, Ljubljana and Montréal.

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, boundary layer flow control, viscoelastic flows, bubble dynamics, constitutive modelling of polymeric liquids.

Mathematics and mechanics of solids

Nonlinear elasticity, contact problems, limit states analysis, constitutive modelling in materials science.

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.

Numerical analysis and scientific computing

The development of algorithms for the numerical solution of partial differential applications.

Head of Group

Professor Tim Phillips

Professor Tim Phillips

Head of School, Mathematics

Email:
phillipstn@cardiff.ac.uk
Telephone:
+44 (0)29 2087 4194

Academic staff

Dr Mikhail Cherdantsev

Dr Mikhail Cherdantsev

Lecturer

Email:
cherdantsevm@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5549
Dr Chris Davies

Dr Chris Davies

Reader

Email:
daviesc9@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5531
Professor Russell Davies

Professor Russell Davies

Honorary Distinguished Professor

Email:
daviesr@cardiff.ac.uk
Telephone:
+44 (0)29 2087 4827
Dr Usama Kadri

Dr Usama Kadri

Lecturer in Applied Mathematics

Email:
kadriu@cardiff.ac.uk
Telephone:
029 208 75863
Dr Katerina Kaouri

Dr Katerina Kaouri

Lecturer in Applied Mathematics

Email:
kaourik@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5259
Dr Angela Mihai

Dr Angela Mihai

Reader in Applied Mathematics

Email:
mihaila@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5570
Professor John Pryce

Professor John Pryce

Emeritus Professor

Email:
prycejd1@cardiff.ac.uk
Telephone:
+44 (0)29 2087 4207
Dr Nikos Savva

Dr Nikos Savva

Lecturer in Applied Mathematics

Email:
savvan@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5116
Dr Thomas Woolley

Dr Thomas Woolley

Lecturer in Applied Mathematics

Email:
woolleyt1@cardiff.ac.uk
Telephone:
02920 870618

Seminars

All seminars are held on Tuesday 14:10-15:00 in Room M/0.34, Mathematics Institute, Senghennydd Road, Cardiff, unless stated otherwise.

Programme organiser and contact:  Dr Angela Mihai

DateSpeakerSeminar

28 January 2020

Dr Pierre Ricco, University of Sheffield

To be confirmed

26 November 2019

Dr Eugeny Buldakov, UCL

To be confirmed

19 November 2019

Prof Alison Raby, University of Plymouth

To be confirmed

12 November 2019

Peter Schmid, Imperial College

To be confirmed

5 November 2019

Prof Derek Moulton, University of Oxford

To be confirmed

22 October 2019

Prof Catherine Powell, University of Manchester

To be confirmed

15 October 2019

Dr Ian Griffiths, University of Oxford

iPhones, Dysons and Cheerios: using fluid dynamics to aid technology

As technology continues to advance, new strategies involving a range of scientific disciplines are required. Mathematicians can provide frameworks to predict operating regimes and manufacture techniques. In this talk we show how mathematics can be used to help in the fabrication of precision glass, for smartphones and new flexible devices; the development of superior filters for vacuum cleaners; and the manufacture of unusual cereal shapes (like Nestlé Alphabet cereals).

8 October 2019

Prof Jonathan Healey, Keel University

Fractal neutral curves in the linear stability of shear flows

Rayleigh showed that the linear stability properties of inviscid shear
layers are described by a second order linear ODE, and the effects of
buoyancy due to fluid density variations were included by Taylor and
Goldstein in 1931, resulting in one additional linear term in
Rayleigh's equation (for weakly varying density). Rayleigh's inflexion
point theorem no longer applies and Taylor gave an example where
stable stratification (density increasing with depth) destabilizes an
inflexionless flow. The Taylor-Goldstein equation is widely used in
many geophysical and astrophysical flow applications. In this talk we
show that this linear ODE can produce neutral curves (separating
stable from unstable regimes) with fractal properties, and discuss
possible implications for nonlinear dynamics.

2019/20 events will be advertised here when the schedule is confirmed.

Past events

Applied and Computational Mathematics Seminars 2018-19

Applied and Computational Mathematics Seminars 2017-18

Applied and Computational Mathematics Seminars 2016-17

Applied and Computational Mathematics Seminars 2015-16