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Parabolic Wave Equations Based on $Pad{\acute{e}}$ Approximants - Model Applicable to Incidence Angle $80^{\circ}$  

Seo, Seung-Nam (Coastal Engineering Research Department, KORDI)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.19, no.4, 2007 , pp. 375-384 More about this Journal
Abstract
Parabolic approximation wave models based on $Pad{\acute{e}}$ approximants are presented of which the $Pad{\acute{e}}$(15, 15) is shown to be applicable to incidence angle $80^{\circ}$ in comparison with the exact solution of a constant sloping bed. After introducing a systematic way of the derivation to the parabolic wave equation, parabolic models are obtained in this study upto the 15th order and several numerical results are given to wave transformation in a constant sloping bed.
Keywords
parabolic approximate form; $Pad{\acute{e}}$ approximation; Snell's law; method of operator correspondence; numerical computation;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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