Preconditioned GMRES for oscillatory integrals

None of the existing methods for computing the oscillatory integral ∫ab f(x)eiωg(x) dx achieve all of the following properties: high asymptotic order, stability, avoiding the computation of the path of steepest descent and insensitivity to oscillations in f. We present a new method that satisfies th...

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Bibliographic Details
Main Author: Olver, S
Format: Report
Published: Oxford University Computing Laboratory 2008