On computation of Hough functions

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

doi:10.5194/gmd-9-1477-2016

Articles | Volume 9, issue 4

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

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

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

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 9, issue 4

Development and technical paper

|

20 Apr 2016

Development and technical paper |

| 20 Apr 2016

On computation of Hough functions

Houjun Wang, John P. Boyd, and Rashid A. Akmaev

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Cumulative views and downloads (calculated since 19 Jan 2016)

Month	HTML	PDF	XML	Total
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Feb 2016	39	20	3	62
Mar 2016	33	11	0	44
Apr 2016	71	26	2	99
May 2016	42	14	3	59
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Nov 2025	53	36	3	92
Dec 2025	37	28	4	69
Jan 2026	47	30	15	92
Feb 2026	8	4	1	13

Latest update: 09 Feb 2026

Short summary

We briefly survey numerical methods for computing eigenvalues and eigenfunctions for the Laplace tidal equation. In particular we compare two methods that have numerical or conceptual advantages over the most commonly used methods. MATLAB codes are provided to facilitate their use. Researchers interested in atmospheric tidal analysis or in numerical methods for accurately computing eigenvalues of differential operators may find the paper helpful.