Applied Mathematics

Applied Mathematics is a research area within which you can focus your studies as part of our suite of Mathematics research programmes (MPhil, PhD).

The following specialisations are available within this research area:

  • Wave propagation in inhomogeneous media
  • Homogenisation
  • Fluid mechanics
  • Structural and solid mechanics
  • Numerical analysis and scientific computing
  • Applied mathematical modelling
  • Memory effects
  • Inverse problems
  • Integral transforms.

The School is part of the EPSRC Portfolio Partnership in Complex Fluids and Complex Flows, which provides substantial funding for research in these areas.

Contacts

Academic contact(s)

Tim Phillips photograph

Professor Tim Phillips

Head of School, Mathematics

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

Nonlinear acoustic-gravity wave theory

This project will use multiple scale analysis along with other standard mathematical techniques to derive the general solution in a three-dimensional space.

Combinatorial optimisation

This project will focus combinatorial optimisation.

Coordinated movement of random fish schooling

This project aims to develop a theoretical model for three-dimensional random movement in fish schools, with the absence of a centralised coordination.

Dynamics of bubbles rising in viscoelastic fluids

This project will develop new numerical discretisations for solving PDEs that can subsequently be applied to problems in fluid mechanics.

Spectral element mimetic least squares PGD method

The project will develop new numerical discretisations for solving PDEs that can subsequently be applied to problems in fluid mechanics and will build on current expertise in the School.

Proper general decomposition for convection-diffusion equations

This project will develop new numerical discretizations for solving PDEs that can subsequently be applied to problems in fluid mechanics.

Early detection of tsunami by acoustic-gravity waves

This project will develop various mathematical techniques and methods, with a focus on perturbation methods, asymptotic analysis, and separation of variables, to solve the general wave equation for a three-dimensional space.

Adaptive modelling and optimisation of hyperelastic cellular structures

This project will identify mechanical properties amenable to mathematical treatment and produce physically realistic mathematical models for natural cellular structures.

Radiation of acoustic-gravity waves by an impacting object

This PhD project will focus on developing the computational mathematical model into a three-dimensional space.

Stability of fluid flows over deformed and moving surfaces

The project will focus on the stability of flows over solid surfaces with spatially and/or temporally varying deformations and motion.

Remote control of gas-liquid flow in horizontal pipelines

This project will further develop existing mathematical models for the co-current gas/liquid flow in horizontal pipes.

The influence of compressibility on the dynamics of encapsulated microbubbles

This project will develop new numerical discretizations for solving PDEs that can subsequently be applied to problems in fluid mechanics.

Algorithms for one-dimensional bin packing problems with ordering implications

This project will focus on one-dimensional bin packing problems with ordering implications.

Funding

There are currently no funding opportunities available.

Tuition fees

UK and EU students (2017/18)

Get the latest information on postgraduate fees.

Students from outside the EU (2017/18)

Get the latest information on postgraduate fees.

Programme information

For programme structure, entry requirements and how to apply, visit the Mathematics programme.

View programme
Postgraduate students on campus

Open Day

Meet us at our Postgraduate Open Day on 22 November 2017.

Related courses

Related subjects

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