Rational square-root approximations for parabolic equation algorithms

In this article, stable Padé approximations to the function 1+z are derived by choosing a branch cut in the negative half-plane. The Padé coefficients are complex and may be derived analytically to arbitrary order from the corresponding real coefficients associated with the principal branch defined...

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Veröffentlicht in:The Journal of the Acoustical Society of America 1997-02, Vol.101 (2), p.760-766
Hauptverfasser: Milinazzo, Fausto A., Zala, Cedric A., Brooke, Gary H.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article, stable Padé approximations to the function 1+z are derived by choosing a branch cut in the negative half-plane. The Padé coefficients are complex and may be derived analytically to arbitrary order from the corresponding real coefficients associated with the principal branch defined by z
ISSN:0001-4966
1520-8524
DOI:10.1121/1.418038