School of Mathematical Sciences

Industrial and Applied Mathematics


The Industrial and Applied Mathematics Group focuses on mathematical modelling of problems and challenges in engineering and industry.

Typical applications are related to formulating equations describing the behaviour of, for example, particles, solids and fluids as well as linear and non-linear wave problems. These equations are generally either nonlinear and/or involve many degrees of freedom and cannot be solved exactly. We explore various techniques to obtain approximate solutions to these equations, including asymptotic methods, similarity methods, bifurcation theory, and numerical methods.

Our research is divided into three main areas:

Wave Modelling

  • Wave and Quantum Chaos
  • Vibro-acoustics
  • High frequency asymptotic
  • Electromagnetics and Optics
  • Transfer Operator
  • Random Coupling Model and Random Matrix Theory
  • Electromagnetic Compatibility and Wireless Communication
  • Complex Ray Theory
  • Diffraction and Scattering
  • Transformation Optics

Group members also coordinate the Wave Modelling Research Group, together with colleagues in Engineering and Physics. 

Fluid and Particle Dynamics:

  • Nucleation/Coagulation-fragmentation processes
  • Fluid Mechanics
  • Molecular modelling
  • Polymers under flow
  • Prediction via Computational Chemistry
  • Porous Media
  • Multiscale modelling
  • Multiphase flows
  • Vortices in Rotating Fluids

Nonlinear Dynamics:

  • Bifurcation theory
  • Asymptotic methods
  • Power electronics
  • Uncertainty quantification

Students at the University of Nottingham can join our Student Chapter of the Society for Industrial and Applied Mathematics (SIAM) for free.


Group Members


Other members of staff working on problems of industrial relevance include:


Thinking of joining us?

We are keen to create an environment which supports all staff members by providing:



Professor Gregor Tanner 

School of Mathematical Sciences

University of Nottingham
University Park

t: +44 (0) 115 95 13842

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

For all enquiries please visit: