Combined Eigenfunction Expansion and Convergence Accelerator Approach to the Rapid Numerical Evaluation of Hilbert Transforms

نویسندگان

  • Ignacio Porras
  • Corey D. Schuster
  • Frederick W. King
چکیده

The numerical evaluation of a class of Hilbert transforms using an eigenfunction approach is considered. Judicious selection of convergence accelerators allows for the efficient evaluation of the resulting series. The approach is particularly accurate for functions having a Gaussian-like asymptotic behavior. For more slowly decreasing functions, the accuracy of the evaluation decreases.

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تاریخ انتشار 2011