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On computation of Hough functions

2016

By Wang, Houjun

; Boyd, John P. ; Akmaev, Rashid A.

Source: Geoscientific Model Development, 9(4), 1477-1488.

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CITE

Title : On computation of Hough functions

Personal Author(s) : Wang, Houjun;Boyd, John P.;Akmaev, Rashid A.;

Published Date : 2016

Source : Geoscientific Model Development, 9(4), 1477-1488.

DOI : https://doi.org/10.5194/gmd-9-1477-2016

Journal Title : Geoscientific Model Development

Wang, Houjun et al. (2016). On computation of Hough functions. 9(4). https://doi.org/10.5194/gmd-9-1477-2016

Wang, Houjun and Boyd, John P. and Akmaev, Rashid A. "On computation of Hough functions"  9, no. 4 (2016), https://doi.org/10.5194/gmd-9-1477-2016

Wang, Houjun et al. "On computation of Hough functions" vol. 9, no. 4, 2016, https://doi.org/10.5194/gmd-9-1477-2016

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Journal Title:

Geoscientific Model Development

Personal Author:

Wang, Houjun

; Boyd, John P. ; Akmaev, Rashid A.

Wang, Houjun

; Boyd, John P. ; Akmaev, Rashid A. Less -

NOAA Program & Office:

NWS (National Weather Service)

Description:

Hough functions are the eigenfunctions of the Laplace tidal equation governing fluid motion on a rotating sphere with a resting basic state. Several numerical methods have been used in the past. In this paper, we compare two of those methods: normalized associated Legendre polynomial expansion and Chebyshev collocation. Both methods are not widely used, but both have some advantages over the commonly used unnormalized associated Legendre polynomial expansion method. Comparable results are obtained using both methods. For the first method we note some details on numerical implementation. The Chebyshev collocation method was first used for the Laplace tidal problem by Boyd (1976) and is relatively easy to use. A compact MATLAB code is provided for this method. We also illustrate the importance and effect of including a parity factor in Chebyshev polynomial expansions for modes with odd zonal wave numbers.

Source:

Geoscientific Model Development, 9(4), 1477-1488.

DOI:

https://doi.org/10.5194/gmd-9-1477-2016

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Journal Article

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CC BY

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urn:sha256:50b7acc5c550f740a805128930268a1c35240f8c3ce05d2ae6e5825359d1d267

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