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Details of Grant 

EPSRC Reference: GR/N12145/01
Title: THEMES IN GEOMETRIC INTEGRATION OF DIFFERENTIAL EQUATIONS
Principal Investigator: Iserles, Professor A
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Applied Maths and Theoretical Physics
Organisation: University of Cambridge
Scheme: Standard Research (Pre-FEC)
Starts: 25 April 2000 Ends: 24 August 2000 Value (£): 19,204
EPSRC Research Topic Classifications:
Numerical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The investigation will centre on geometric integration: discretization methods that are assured to respect major quantitative and geometric aspects of ordinary and partial differential systems. In particular (1) the classification of Lie-group methods according to their algebra features; (2) combination of Lie-group solvers with splitting and with the Thue-Morse technique; (3) computation of semi-group invariants, eg dissipativity and Lyapunov functions; (4) research into methods that carry significantly smaller error on invariants than in the solution per se.
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Organisation Website: http://www.cam.ac.uk