Details of Grant 

EPSRC Reference:	GR/R22315/01
Title:	Fast Wavelets Based Iterative Solvers For Dense Linear Systems From Differential and Integral Equations
Principal Investigator:	Chen, Professor K
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Mathematical Sciences
Organisation:	University of Liverpool
Scheme:	Standard Research (Pre-FEC)
Starts:	01 September 2001	Ends:	31 August 2004	Value (£):	126,700
EPSRC Research Topic Classifications:	Numerical Analysis
EPSRC Industrial Sector Classifications:	Manufacturing Chemicals Electronics No relevance to Underpinning Sectors
Related Grants:
Panel History:	Panel Date Panel Name Outcome 14 Dec 2000 Mathematics Responsive Mode Rd 1/00 Deferred
Summary on Grant Application Form
The aim of the proposed research is to develop and analyse wavelets based robust and efficient preconditioning methods for iterative solution of equations arising from discritizing differential and integral operators. Application of the standard wavelets and transforms to our interested equations does not lead to fast convergence of iterative methods. New (recursive) non-standard wavelets and discrete wavelet transforms, generlizing the applicant's current work, will be evaluated and their use in preconditioning will be investigated. A large class of sparse preconditioners will be studied with the attention focussed on parallellism in distributed computing. Extensions of the orthogonal wavelets work to other wavelets and software will be considered. The mathematical theory will be supported by extensive simulation studies including two industrial applications. Concepts of fast methods such as panel clustering and domain decomposition will also be evaluated.
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Organisation Website:	http://www.liv.ac.uk