Details of Grant 

EPSRC Reference:	GR/N22472/01
Title:	MOVING FRAMES, RESULTANTS AND DIFFERENTIAL SYSTEMS
Principal Investigator:	Mansfield, Professor EL
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Sch of Maths Statistics & Actuarial Sci
Organisation:	University of Kent
Scheme:	Standard Research (Pre-FEC)
Starts:	01 October 2000	Ends:	31 March 2004	Value (£):	120,529
EPSRC Research Topic Classifications:	Non-linear Systems Mathematics Numerical Analysis
EPSRC Industrial Sector Classifications:	Information Technologies No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
Resultants are an increasingly important tool in computational algebra particularly for polynomial systems solving. The main purpose of the proposed collaboration between Agnes Szanto and Elizabeth Mansfield is the adaptation of recent advances concerning their computation and application for algebraic systems, to differential systems. The immediate objective will be to develop a notion of a differential resultant that has the same properties as the classical resultant algebraic resultant. We will then apply our ideas to improving the characteristic set algorithm for differential systems, which will be implemented. Applications are classifications and equivalence problems. Numerical methods to which symbolic ideas can be applied are those of geometric integration schemes and these will be examined.
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Organisation Website:	http://www.kent.ac.uk