Olver, Sheehan (2009) GMRES for oscillatory matrix-valued differential equations. Technical Report. Springer (ICOSAHOM conference proceeding). (Submitted)
| PDF - Submitted Version 322Kb |
Abstract
We investigate the use of Krylov subspace methods to solve linear, oscillatory ODEs. When we apply a Krylov subspace method to a properly formulated equation, we retain the asymptotic accuracy of the asymptotic expansion whilst converging to the exact solution. We will demonstrate the effectiveness of this method by computing Error and Mathieu functions.
| Item Type: | Technical Report (Technical Report) |
|---|---|
| Subjects: | H - N > Numerical analysis |
| Research Groups: | Numerical Analysis Group |
| ID Code: | 866 |
| Deposited By: | Lotti Ekert |
| Deposited On: | 17 Dec 2009 08:09 |
| Last Modified: | 17 Dec 2009 08:09 |
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