Details of Grant 

EPSRC Reference:	GR/R07769/01
Title:	Convergence of Multilevel Methods For Radial Basis Approximation
Principal Investigator:	Levesley, Professor J
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	University of Leicester
Scheme:	Standard Research (Pre-FEC)
Starts:	14 March 2001	Ends:	13 September 2001	Value (£):	1,823
EPSRC Research Topic Classifications:	Numerical Analysis
EPSRC Industrial Sector Classifications:
Related Grants:
Panel History:
Summary on Grant Application Form
The main purpose of this research is to develop fast, accurate methods for solving approximation problems and partial differential equations using radial basis functions. This strategy will be to use a family of functions with different scales to iteratively reduce the error. The error at one level is approximated using the function appropriate to the next level. Thus, a function of an appropriate scale is used to approximate the component of the error of that scale. We will start with providing guaranteed error bounds for approximation methods on gridded data, and progress to error bounds for scattered data problems. We will provide efficient algorithms implementing theses approximation schemes. Finally, we will investigate concrete applications of radial basis functions for solving Partial differential equations. We hope to be able to adapt some of the strategies used for solving the approximation problem.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk Summary Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:
Further Information:
Organisation Website:	http://www.le.ac.uk