EPSRC Reference: |
GR/M74542/01 |
Title: |
ITERATIVE SOLUTION METHODS IN THE LARGE AND SPARSE ALGEBRAIC EIGENVALUE PROBLEM |
Principal Investigator: |
Wathen, Dr A |
Other Investigators: |
|
Researcher Co-Investigators: |
|
Project Partners: |
|
Department: |
Computer Science |
Organisation: |
University of Oxford |
Scheme: |
Standard Research (Pre-FEC) |
Starts: |
01 October 1999 |
Ends: |
31 December 1999 |
Value (£): |
1,900
|
EPSRC Research Topic Classifications: |
|
EPSRC Industrial Sector Classifications: |
No relevance to Underpinning Sectors |
|
|
Related Grants: |
|
Panel History: |
|
Summary on Grant Application Form |
The VF would consider the combination of the MINRES/GMRES method with a spectral transformation techniques used in eigenvalue computation. Preconditioning of such systems would be the major issue. Rigorous convergence bounds due to the P.I. in the case of symmetric systems will provide guidance. Additional the VF and proposer will brainstorm on the stability problem for incompressible fluid flow described by the incompressible Navier-Stokes equations. We will consider possible methods which combine recent work of the P.I. and others on iterative solution of such problems and techniques for the eigenvalue problem describing stability/instability which have thus far employed direct solution algorithms.
|
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.ox.ac.uk |