EPSRC Reference: |
GR/J61442/01 |
Title: |
ANALYTICAL AND COMPUTATIONALMETHODS IN THE SPECTRAL THEORY OF HAMILTONIAN SYSTEMS |
Principal Investigator: |
Evans, Professor WD |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Sch of Mathematics |
Organisation: |
Cardiff University |
Scheme: |
Standard Research (Pre-FEC) |
Starts: |
01 July 1994 |
Ends: |
30 November 1997 |
Value (£): |
83,671
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EPSRC Research Topic Classifications: |
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EPSRC Industrial Sector Classifications: |
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Related Grants: |
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Panel History: |
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Summary on Grant Application Form |
We propose to extend our analytical and computational work on the spectral theory of second order differential and difference operators to Hamiltonian systems. This would include developing(i) Algorithms and resulting computer codes, to compute the M matrix for Hamiltonian systems;(ii)a theory of integral and series inequalities, similar to the HELP inequality, for Hamiltonian systems and to use the numerical work developed in (i) to compute examples;(iii) algorithms, using interval arithmetic, which will compute provable estimates for the results of (i) and (ii).
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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
Description |
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Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
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Project URL: |
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Further Information: |
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Organisation Website: |
http://www.cf.ac.uk |