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Details of Grant 

EPSRC Reference: GR/S31679/01
Title: Model Compaction and Model Reduction Methods for Large-Scale Dynamic Systems in Engineering
Principal Investigator: Garvey, Professor S
Other Investigators:
Clifford, Dr MJ Jones, Dr IA
Researcher Co-Investigators:
Project Partners:
Department: Sch of Mech Materials Manuf Eng Mgt
Organisation: University of Nottingham
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 2003 Ends: 30 September 2006 Value (£): 133,577
EPSRC Research Topic Classifications:
Eng. Dynamics & Tribology Numerical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
This project addresses the analysis of dynamic systems arising in engineering and characterized by second order matrix ODEs of large dimensions. The project will develop and apply some fundamental mathematical principles based on the concept of structure preserving transformations in order to produce algorithms which can transform an initial model which is huge (in terms of computational and memory requirements) into a new form which is amenable to computation using finite resources. Such models arise naturally in many different areas of engineering including: structural-vibration, acoustics, electromagnetics, surface wavemotion, circuit theory and control theory. The methods emerging will be applicable to the model-reduction and model-compaction of second-order systems. They will outperform existing alternatives both in computational effort and in numerical accuracy because the system representation will always comprise the three matrices of a second order system. In the case of model reduction, lower errors can be expected for the same degree of reduction in dimension. The advantages will be especially noticeable in cases where either the mass matrix is singular and/or where the system damping is very significantly non-classical . Such cases are now common and they cause considerable problems for the conventional algorithms.
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Organisation Website: http://www.nottingham.ac.uk