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GMRES for oscillatory matrix−valued differential equations

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.

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Authors


Sheehan Olver More by this author
Publisher:
Oxford University Computing Laboratory
Publication date:
2009-09-01
URN:
uuid:1e480f94-d64f-4ae0-b276-d6314c7ed023
Local pid:
cs:3245

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