| EPSRC Reference: |
GR/R44959/01 |
| Title: |
Operator Pencils with Lambda-Dependent Boundary Conditions |
| Principal Investigator: |
Marletta, Professor M |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Leicester |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 July 2001 |
Ends: |
30 June 2002 |
Value (£): |
5,913
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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We shall examine whether or not the eigenfunctions of the Orr-Sommerfield problem with lambda-dependant boundary conditions form a complete set, and whether or not they have Riesz basis properties (i.e. become quadratically close to orthogonal progressing up the spectrum). The methods proposed are for boundary conditions which depend polynomially on the eigenparameter lambda, and should reveal whether or not the eigenfunctions satisfy additional hidden boundary conditions. An important aspect of the theory will be the development of the lambda-asymptotics for the Green's function, which we believe will also lead to much more efficient shooting methods for finding eigenvalues. Finally, it will be interesting to examine whether or not the imposition of any hidden boundary conditions on the basis functions for a Galerkin approach has a significant effect on the accuracy of such a method for finding the eigenvalues.
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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 |