Details of Grant 

EPSRC Reference:	EP/C000285/1
Title:	Approximation, Integration and Partial Differential Equations on Smooth Manifolds
Principal Investigator:	Levesley, Professor J
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	University of Leicester
Scheme:	Standard Research (Pre-FEC)
Starts:	01 July 2005	Ends:	31 May 2008	Value (£):	9,293
EPSRC Research Topic Classifications:	Numerical Analysis
EPSRC Industrial Sector Classifications:	Environment
Related Grants:
Panel History:
Summary on Grant Application Form
Advances in approximation theory, numerical integration, differential and integral equations are most often driven by applications, and smooth manifolds, such as the sphere, are natural settings for many mathematical models. Indeed, in recent years, such modelshave arisen naturally in areas diverse as atmospheric circulation modelling, gravitational potential theory, oceanography, mathematical finance, scattering of sound, satellite data fitting and partial differential equations. In this project we seek to furher develop the mathematical theory of approximation and integration on smooth manifolds, and apply the theory to the investigation of the solution of partial differential equations on such manifolds. We would like to develop practical algorithms in this regard which could be easily implemented by practitioners in application areas such as those mentioned above.
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Organisation Website:	http://www.le.ac.uk