| EPSRC Reference: |
GR/S35400/01 |
| Title: |
Approximation on the Sphere Using Positive Definite Radial Basis Functions |
| Principal Investigator: |
Levesley, Professor J |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Leicester |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 July 2003 |
Ends: |
31 July 2005 |
Value (£): |
10,817
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| Environment |
No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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We will investigate approximation by radial basis functions on spheres, focussing mainly on the two areas of strictly positive definite functions (which is intimately connecteed to the well-posedness of certain interpolation problems using radial basis functions) and error estimates. In the area of strictly positive definite functions we will concentrate our efforts on a few natural conjectures, and will hope to establish useful characterisations of such functions. We hoep also to investigate error estimates with a view to providing improvements through a variety of techniques, including establishing error estimates for a wider class of functions.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.le.ac.uk |