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Research Expertise

Mathematics, Statistics and Modelling

The following highlights our research expertise in this area:

Applied Analysis:
Coagulation and fragmentation; fractional calculus; nonlinear applied analysis- structure of attractors, reaction-diffusion problems.

Applied and Industrial Mathematics:
Liquid crystal modelling; fluid modelling; nonlinear waves; physical foundations of continuum modelling; industrial mathematics-free surface flows; ferroresonce; electromagnetic wave in adhesive bonded structures; ultrasonics; convection in pourous media.

Architecture and Buildings:
Modelling urban design.

Biomedical:
Finite element analysis of biomedical devices; modelling biomedical systems.

Civil Engineering:
Effluent dispersion modelling; numerical modelling of landfill processes and design; simulation of streamflows for reservoir sizing; statistical flood prediction methods.

Communication Networks:
Simulation and modelling of large scale mobile communication systems; broadband communication networks; fibre-optic networks; network traffic control and management analysis.

Computational Design:
Advanced computational techniques in design; agent architectures; artificial intelligence (AI) in design; computer aided learning; computer supported co-operative working; concept modelling; configuration design; constraint-based engineering design; design optimisation; interactive sketching and human computer interaction; machine learning in design; multi-perspective product modelling; parametric modelling; shared workspaces; simulation; systems, data, information and knowledge integration; vague geometric modelling; virtual reality in design.

Continuum Mechanics:
Mathematical modelling of macroscopic effects in thermotropic liquid crystals; modelling of flow-induced switching in weakly anchored nematic cells; modelling of chevrons and flow effects in smectic liquid crystals; modelling of effects associated with the application of external electric and magnetic fields.

Design Management:
Design co-ordination; design for environment; design methods; design modularisation; design processes; design re-use; mechatronics; performance improvement; performance measurement and management; process modelling; process optimisation; process re-engineering; product diversification; product modelling and visualisation; team working.

Economics:
Macroeconomic modelling; regional economic modelling; economic forecasting; economic environmental planning Electrical Machines and Drive: Modelling and simulation of isolated electrical systems in marine environments; determination of the suitability of materials for use in marine electrical devices.

Electrical Power Engineering:
Plant modelling; power networks modelling; power systems modelling; computational intelligence techniques for engineering applications.

Engineering and Manufacturing:
Impact performance of thin-walled adhesively bonded steel and composite structures; development of cold-formed steel portal frames; continuous and discrete-event processes; investigation of non-linear behaviour in the launching of large ships.

Industrial Control:
Non-linear and stochastic control systems; control systems design; modelling, verification and control of complex integrated systems; estimation and identification for use in aircraft traffic control, automated factories and intelligent vehicle/highway systems; condition monitoring; dynamic modelling and control design; robot manipulators; control design on real-time discrete-event processes; fault detection and diagnosis; level-luffing crane systems for offshore use; fuzzy modelling; complex system models; model free control methods; nonlinear control systems; control systems simulation and modelling for applications in the marine, steel, aerospace, manufacturing and electrical power generation industries.

Knowledge Engineering and Management:
Computational modelling techniques; knowledge elicitation and acquisition; machine learning; knowledge integration; product knowledge modelling.

Management Science/Operational Science:
Computer aided decision support for senior managers; multicriteria decision support; organisational strategy development; management of risk (modelling effects of delay and disruption in major projects); project management; strategic management processes modelling; visual interactive modelling; enterprise modelling.

Materials:
Combined experimental testing with mathematical and computational materials modelling.

Mathematical Techniques:
Experimental and advanced finite element analysis; application and development of computational techniques to the analysis of structures; boundary elements, finite strips; numerical simulation; non-linear analysis in pressure design; noise measurement and vibration testing; mathematical modelling of bubble generation; computational dynamics; computational fluid dynamics; PIV and CFD modelling of flows in pump sumps; FE analysis of stab resistance of body armour.

Modelling Projects:
Delay and disruption in large projects; learning curves; measuring risk; project management; risk analysis; simulation; system dynamics.

Modelling Uncertainty:
Data mining; eliciting beliefs; forecasting; measuring risk; reliability and dependability; risk analysis; simulation; stochastic thinking.

Numerical Analysis:
Hp-finite elements; domain decomposition methods; computational dynamics; stochastic differential equations; adaptive methods for partial differential equations; numerical linear algebra; computational problems in physics and medicine- keyhole surgery, electromagnetic scattering.

Signal Processing:
Algorithms and architectures (algebraic based methods, adaptive techniques, parallel algorithms and architectures, non linear optimisation techniques); parallel signal processing (design of parallel array processors, adaptive systems, image processing, image coding); image processing (algorithm and system development; applications include automatic inspection, magnetic resonance imaging, underwater autonomous vehicles, wavelet based video coding, low-bit-rate coding); seismic processing (3D event tracking, seismic data segmentation, use of neural networks for seismic data interpretation); biomedical signal processing (algorithm development, hardware design for medical instrumentation, medical image analysis); ultrasonics (mathematical modelling, transducer and array design, use of piezoelectric materials, underwater systems, inspection systems, non-destructive testing and evaluation); algorithms and architectures for use in marine applications; image processing; ultrasonics; acoustics; SONAR systems; acoustic echo and noise control; archive restoration of film and video; chaos theory and fractals; chemical data analysis; condition monitoring; conformation radiotherapy; data fusion and multimodality image processing; DSP devices technology; forensic signal and image analysis; fuzzy logic, genetic algorithms and neural networks; higher order statistical techniques; internet applications; mobile video coding; multimedia and video processing; multimedia education techniques; non-linear signal and image processing; signal processing techniques for telecommunications; software radio; speech processing; sub-band wavelet analysis; VLSI circuit design and IP protection.

Software Engineering Technologies:
Development of structural design and analysis software for research and teaching; empirical foundations of computer science.

Statistics and Modelling Science:
Animal diseases and health; biomedical modelling; deterministic modelling; development of methodology; epidemiology; fish stock analysis; image processing and analysis; infectious diseases; markov branching processes with state-dependent immigration; modelling of large telecommunication networks; nonparametric inference for survival models; Pictish stones; population ecology; risk assessment and modelling; spatial processes; statistical inference; stochastic analysis; stochastic differential equations; stochastic dynamics and modelling; theoretical ecology; time series analysis and modelling; 1/f noise. Ultrasonics: Ultrasonic transducer and array mathematical modelling for design optimisation for biomedical, sonar, NDT and industrial process control applications; 3D visualisation of NDT inspection data.

Departments and Specialist Centres:

These areas of research represent the activities of a number of University Departments and Specialist Centres including:
Architecture and Building Science
Bioengineering Unit
Centre for Ultrasonic Engineering
Civil Engineering
Computer and Information Sciences

Design Manufacture and Engineering Management
Economics
Electronic and Electrical Engineering
Industrial Control Centre
Institute for Energy and Environment

Management Science
Mathematics
Mechanical Engineering
Statistics and Modelling Science