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.
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.
the Creative Commons Attribution 3.0 License.
Development and technical paper
| 
20 Apr 2016
Development and technical paper |
| 20 Apr 2016
On computation of Hough functions
CIRES, University of Colorado Boulder, Boulder, Colorado, USA
Space Weather Prediction Center, NOAA, Boulder, Colorado, USA
John P. Boyd
Department of Climate and Space Sciences and Engineering, University of Michigan, Ann Arbor, Michigan, USA
Rashid A. Akmaev
Space Weather Prediction Center, NOAA, Boulder, Colorado, USA
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- Impact of Tropospheric Ozone Modulation Due To El Niño on Tides in the MLT M. Kogure et al. 10.1029/2023GL102790
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- The traditional approximation of rotation for rapidly rotating stars and planets H. Dhouib et al. 10.1051/0004-6361/202140615
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- Large‐Amplitude Quasi‐10‐Day Waves in the Middle Atmosphere During Final Warmings Y. Yamazaki & V. Matthias 10.1029/2019JD030634
- The traditional approximation of rotation for rapidly rotating stars and planets H. Dhouib et al. 10.1051/0004-6361/202141152
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- Semidiurnal thermal tides in asynchronously rotating hot Jupiters P. Auclair-Desrotour & J. Leconte 10.1051/0004-6361/201731683
- Short‐Term and Interannual Variations of Migrating Diurnal and Semidiurnal Tides in the Mesosphere and Lower Thermosphere M. Dhadly et al. 10.1029/2018JA025748
- Wave-mean Flow Interactions in the Atmospheric Circulation of Tidally Locked Planets M. Hammond & R. Pierrehumbert 10.3847/1538-4357/aaec03
- The effect of the centrifugal acceleration on period spacings of gravito-inertial modes in intermediate-mass stars J. Henneco et al. 10.1051/0004-6361/202039464
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33 citations as recorded by crossref.
- Comparative study between ground-based observations and NAVGEM-HA analysis data in the mesosphere and lower thermosphere region G. Stober et al. 10.5194/acp-20-11979-2020
- Final spin states of eccentric ocean planets P. Auclair-Desrotour et al. 10.1051/0004-6361/201935905
- Period spacings of gravity modes in rapidly rotating magnetic stars V. Prat et al. 10.1051/0004-6361/201935462
- Impact of Tropospheric Ozone Modulation Due To El Niño on Tides in the MLT M. Kogure et al. 10.1029/2023GL102790
- Unusual Quasi 10‐Day Planetary Wave Activity and the Ionospheric Response During the 2019 Southern Hemisphere Sudden Stratospheric Warming J. Wang et al. 10.1029/2021JA029286
- DW1 Tidal Enhancements in the Equatorial MLT During 2015 El Niño: The Relative Role of Tidal Heating and Propagation M. Kogure & H. Liu 10.1029/2021JA029342
- The traditional approximation of rotation, including the centrifugal acceleration for slightly deformed stars S. Mathis & V. Prat 10.1051/0004-6361/201935639
- The traditional approximation of rotation for rapidly rotating stars and planets H. Dhouib et al. 10.1051/0004-6361/202140615
- Day‐to‐Day Variability of Diurnal Tide in the Mesosphere and Lower Thermosphere Driven From Below J. Wang et al. 10.1029/2019JA027759
- Thermal tides in neutrally stratified atmospheres: Revisiting the Earth’s Precambrian rotational equilibrium M. Farhat et al. 10.1051/0004-6361/202348625
- First measurements of tides in the stratosphere and lower mesosphere by ground-based Doppler microwave wind radiometry J. Hagen et al. 10.5194/acp-20-2367-2020
- Large‐Amplitude Quasi‐10‐Day Waves in the Middle Atmosphere During Final Warmings Y. Yamazaki & V. Matthias 10.1029/2019JD030634
- The traditional approximation of rotation for rapidly rotating stars and planets H. Dhouib et al. 10.1051/0004-6361/202141152
- Gravitational atmospheric tides as a probe of Titan’s interior: Application to Dragonfly B. Charnay et al. 10.1051/0004-6361/202141898
- A parallel time integrator for solving the linearized shallow water equations on the rotating sphere M. Schreiber & R. Loft 10.1002/nla.2220
- Seasonal evolution of winds, atmospheric tides, and Reynolds stress components in the Southern Hemisphere mesosphere–lower thermosphere in 2019 G. Stober et al. 10.5194/angeo-39-1-2021
- The resonant tidal evolution of the Earth-Moon distance M. Farhat et al. 10.1051/0004-6361/202243445
- First Observations From a New Meteor Radar at McMurdo Station Antarctica (77.8°S, 166.7°E) J. Marino et al. 10.1029/2022RS007466
- Impact of stratospheric planetary wave and ozone variabilities on the austral polar middle atmospheric circulation R. Dutta et al. 10.1016/j.asr.2022.01.025
- 120-day variability in migrating tides from CMAM30 winds S. Debnath & U. Das 10.1016/j.jastp.2024.106230
- Interhemispheric differences of mesosphere–lower thermosphere winds and tides investigated from three whole-atmosphere models and meteor radar observations G. Stober et al. 10.5194/acp-21-13855-2021
- Atmospheric tides and their consequences on the rotational dynamics of terrestrial planets P. Auclair-Desrotour et al. 10.1051/eas/1982008
- The near-core rotation of HD 112429 T. Van Reeth et al. 10.1051/0004-6361/202142921
- Gravity waves in strong magnetic fields N. Rui & J. Fuller 10.1093/mnras/stad1424
- A high‐accuracy global prognostic model for the simulation of Rossby and gravity wave dynamics S. Vasylkevych & N. Žagar 10.1002/qj.4006
- Detecting deep axisymmetric toroidal magnetic fields in stars H. Dhouib et al. 10.1051/0004-6361/202142956
- Quasi‐4‐Day Wave: Atmospheric Manifestation of the First Symmetric Rossby Normal Mode of Zonal Wavenumber 2 Y. Yamazaki et al. 10.1029/2021JD034855
- Climatology of mesosphere and lower thermosphere diurnal tides over Jicamarca (12$$^\circ$$S, 77$$^\circ$$W): observations and simulations J. Suclupe et al. 10.1186/s40623-023-01935-z
- Semidiurnal thermal tides in asynchronously rotating hot Jupiters P. Auclair-Desrotour & J. Leconte 10.1051/0004-6361/201731683
- Short‐Term and Interannual Variations of Migrating Diurnal and Semidiurnal Tides in the Mesosphere and Lower Thermosphere M. Dhadly et al. 10.1029/2018JA025748
- Wave-mean Flow Interactions in the Atmospheric Circulation of Tidally Locked Planets M. Hammond & R. Pierrehumbert 10.3847/1538-4357/aaec03
- The effect of the centrifugal acceleration on period spacings of gravito-inertial modes in intermediate-mass stars J. Henneco et al. 10.1051/0004-6361/202039464
- Asteroseismic g-mode period spacings in strongly magnetic rotating stars N. Rui et al. 10.1093/mnras/stad3461
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Latest update: 18 Apr 2024
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.
We briefly survey numerical methods for computing eigenvalues and eigenfunctions for the Laplace...
