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| Original file line number | Diff line number | Diff line change |
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| @misc{Ajith_2007, | ||
| doi = {10.48550/arxiv.0709.0093}, | ||
| url = {https://arxiv.org/abs/0709.0093}, | ||
| author = {Ajith, P. and Boyle, M. and Brown, D. A. and Fairhurst, S. and Hannam, M. and | ||
| Hinder, I. and Husa, S. and Krishnan, B. and Mercer, R. A. and Ohme, F. and Ott, | ||
| C. D. and Read, J. S. and Santamaria, L. and Whelan, J. T.}, | ||
| title = {Data formats for numerical relativity waves}, | ||
| publisher = {arXiv}, | ||
| year = 2007, | ||
| archivePrefix ="arXiv", | ||
| eprint = "0709.0093", | ||
| primaryClass = "gr-qc", | ||
| } | ||
|
|
||
| @article{Boyle_2016, | ||
| doi = {10.1063/1.4962723}, | ||
| url = {https://doi.org/10.1063/1.4962723}, | ||
| year = 2016, | ||
| month = {sep}, | ||
| publisher = {{AIP} Publishing}, | ||
| volume = {57}, | ||
| number = {9}, | ||
| author = {Michael Boyle}, | ||
| title = {How should spin-weighted spherical functions be defined?}, | ||
| journal = {Journal of Mathematical Physics}, | ||
| archivePrefix = "arXiv", | ||
| eprint = "1604.08140", | ||
| primaryClass = "gr-qc", | ||
| doi = {10.1063/1.4962723}, | ||
| url = {https://doi.org/10.1063/1.4962723}, | ||
| year = 2016, | ||
| month = {sep}, | ||
| publisher = {{AIP} Publishing}, | ||
| volume = 57, | ||
| number = 9, | ||
| author = {Michael Boyle}, | ||
| title = {How should spin-weighted spherical functions be defined?}, | ||
| journal = {Journal of Mathematical Physics}, | ||
| archivePrefix ="arXiv", | ||
| eprint = "1604.08140", | ||
| primaryClass = "gr-qc", | ||
| } | ||
|
|
||
| @article{Elahi_2018, | ||
| doi = {10.1109/lsp.2018.2865676}, | ||
| url = {https://doi.org/10.1109/lsp.2018.2865676}, | ||
| year = 2018, | ||
| month = {oct}, | ||
| publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}, | ||
| volume = {25}, | ||
| number = {10}, | ||
| pages = {1470--1474}, | ||
| author = {Usama Elahi and Zubair Khalid and Rodney A. Kennedy and Jason D. McEwen}, | ||
| title = {An Optimal-Dimensionality Sampling for Spin-$s$ Functions on the Sphere}, | ||
| journal = {{IEEE} Signal Processing Letters}, | ||
| archivePrefix = "arXiv", | ||
| eprint = "1809.01321", | ||
| primaryClass = "astro-ph.IM", | ||
| doi = {10.1109/lsp.2018.2865676}, | ||
| url = {https://doi.org/10.1109/lsp.2018.2865676}, | ||
| year = 2018, | ||
| month = {oct}, | ||
| publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}, | ||
| volume = 25, | ||
| number = 10, | ||
| pages = {1470--1474}, | ||
| author = {Usama Elahi and Zubair Khalid and Rodney A. Kennedy and Jason D. McEwen}, | ||
| title = {An Optimal-Dimensionality Sampling for Spin-$s$ Functions on the Sphere}, | ||
| journal = {{IEEE} Signal Processing Letters}, | ||
| archivePrefix ="arXiv", | ||
| eprint = "1809.01321", | ||
| primaryClass = "astro-ph.IM", | ||
| } | ||
|
|
||
| @article{Fukushima_2011, | ||
| doi = {10.1007/s00190-011-0519-2}, | ||
| url = {https://doi.org/10.1007/s00190-011-0519-2}, | ||
| year = 2011, | ||
| month = {oct}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = {86}, | ||
| number = {4}, | ||
| pages = {271--285}, | ||
| author = {Toshio Fukushima}, | ||
| title = {Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers}, | ||
| journal = {Journal of Geodesy} | ||
| doi = {10.1007/s00190-011-0519-2}, | ||
| url = {https://doi.org/10.1007/s00190-011-0519-2}, | ||
| year = 2011, | ||
| month = {oct}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = 86, | ||
| number = 4, | ||
| pages = {271--285}, | ||
| author = {Toshio Fukushima}, | ||
| title = {Numerical computation of spherical harmonics of arbitrary degree and order by | ||
| extending exponent of floating point numbers}, | ||
| journal = {Journal of Geodesy} | ||
| } | ||
|
|
||
| @incollection{Gumerov_2015, | ||
| doi = {10.1007/978-3-319-13230-3_5}, | ||
| url = {https://doi.org/10.1007/978-3-319-13230-3_5}, | ||
| year = 2015, | ||
| publisher = {Springer International Publishing}, | ||
| pages = {105--141}, | ||
| author = {Nail A. Gumerov and Ramani Duraiswami}, | ||
| title = {Recursive Computation of Spherical Harmonic Rotation Coefficients of Large Degree}, | ||
| booktitle = {Excursions in Harmonic Analysis, Volume 3}, | ||
| archivePrefix = "arXiv", | ||
| eprint = "1403.7698", | ||
| primaryClass = "math.NA", | ||
| doi = {10.1007/978-3-319-13230-3_5}, | ||
| url = {https://doi.org/10.1007/978-3-319-13230-3_5}, | ||
| year = 2015, | ||
| publisher = {Springer International Publishing}, | ||
| pages = {105--141}, | ||
| author = {Nail A. Gumerov and Ramani Duraiswami}, | ||
| title = {Recursive Computation of Spherical Harmonic Rotation Coefficients of Large Degree}, | ||
| booktitle = {Excursions in Harmonic Analysis, Volume 3}, | ||
| archivePrefix ="arXiv", | ||
| eprint = "1403.7698", | ||
| primaryClass = "math.NA", | ||
| } | ||
|
|
||
| @article{Holmes_2002, | ||
| doi = {10.1007/s00190-002-0216-2}, | ||
| url = {https://doi.org/10.1007/s00190-002-0216-2}, | ||
| year = 2002, | ||
| month = {may}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = {76}, | ||
| number = {5}, | ||
| pages = {279--299}, | ||
| author = {S. A. Holmes and W. E. Featherstone}, | ||
| title = {A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions}, | ||
| journal = {Journal of Geodesy} | ||
| doi = {10.1007/s00190-002-0216-2}, | ||
| url = {https://doi.org/10.1007/s00190-002-0216-2}, | ||
| year = 2002, | ||
| month = {may}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = 76, | ||
| number = 5, | ||
| pages = {279--299}, | ||
| author = {S. A. Holmes and W. E. Featherstone}, | ||
| title = {A unified approach to the Clenshaw summation and the recursive computation of very | ||
| high degree and order normalised associated Legendre functions}, | ||
| journal = {Journal of Geodesy} | ||
| } | ||
|
|
||
| @article{Kostelec_2008, | ||
| doi = {10.1007/s00041-008-9013-5}, | ||
| url = {https://doi.org/10.1007/s00041-008-9013-5}, | ||
| year = 2008, | ||
| month = {feb}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = {14}, | ||
| number = {2}, | ||
| pages = {145--179}, | ||
| author = {Peter J. Kostelec and Daniel N. Rockmore}, | ||
| title = {{FFTs} on the Rotation Group}, | ||
| journal = {Journal of Fourier Analysis and Applications} | ||
| doi = {10.1007/s00041-008-9013-5}, | ||
| url = {https://doi.org/10.1007/s00041-008-9013-5}, | ||
| year = 2008, | ||
| month = {feb}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = 14, | ||
| number = 2, | ||
| pages = {145--179}, | ||
| author = {Peter J. Kostelec and Daniel N. Rockmore}, | ||
| title = {{FFTs} on the Rotation Group}, | ||
| journal = {Journal of Fourier Analysis and Applications} | ||
| } | ||
|
|
||
| @article{McEwen_2011, | ||
| doi = {10.1109/tsp.2011.2166394}, | ||
| url = {https://doi.org/10.1109/tsp.2011.2166394}, | ||
| year = 2011, | ||
| month = {dec}, | ||
| publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}, | ||
| volume = {59}, | ||
| number = {12}, | ||
| pages = {5876--5887}, | ||
| author = {Jason D. McEwen and Yves Wiaux}, | ||
| title = {A Novel Sampling Theorem on the Sphere}, | ||
| journal = {{IEEE} Transactions on Signal Processing}, | ||
| archivePrefix = "arXiv", | ||
| eprint = "1110.6298", | ||
| primaryClass = "cs.IT", | ||
| doi = {10.1109/tsp.2011.2166394}, | ||
| url = {https://doi.org/10.1109/tsp.2011.2166394}, | ||
| year = 2011, | ||
| month = {dec}, | ||
| publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}, | ||
| volume = 59, | ||
| number = 12, | ||
| pages = {5876--5887}, | ||
| author = {Jason D. McEwen and Yves Wiaux}, | ||
| title = {A Novel Sampling Theorem on the Sphere}, | ||
| journal = {{IEEE} Transactions on Signal Processing}, | ||
| archivePrefix ="arXiv", | ||
| eprint = "1110.6298", | ||
| primaryClass = "cs.IT", | ||
| } | ||
|
|
||
| @article{Newman_1966, | ||
| doi = {10.1063/1.1931221}, | ||
| url = {https://doi.org/10.1063/1.1931221}, | ||
| year = 1966, | ||
| month = {may}, | ||
| publisher = {{AIP} Publishing}, | ||
| volume = {7}, | ||
| number = {5}, | ||
| pages = {863--870}, | ||
| author = {E. T. Newman and R. Penrose}, | ||
| title = {Note on the Bondi-Metzner-Sachs Group}, | ||
| journal = {Journal of Mathematical Physics} | ||
| doi = {10.1063/1.1931221}, | ||
| url = {https://doi.org/10.1063/1.1931221}, | ||
| year = 1966, | ||
| month = {may}, | ||
| publisher = {{AIP} Publishing}, | ||
| volume = 7, | ||
| number = 5, | ||
| pages = {863--870}, | ||
| author = {E. T. Newman and R. Penrose}, | ||
| title = {Note on the Bondi-Metzner-Sachs Group}, | ||
| journal = {Journal of Mathematical Physics} | ||
| } | ||
|
|
||
| @article{Reinecke_2013, | ||
| doi = {10.1051/0004-6361/201321494}, | ||
| url = {https://doi.org/10.1051/0004-6361/201321494}, | ||
| year = 2013, | ||
| month = {jun}, | ||
| publisher = {{EDP} Sciences}, | ||
| volume = {554}, | ||
| pages = {A112}, | ||
| author = {M. Reinecke and D. S. Seljebotn}, | ||
| title = {Libsharp---spherical harmonic transforms revisited}, | ||
| journal = {Astronomy \& Astrophysics}, | ||
| archivePrefix = "arXiv", | ||
| eprint = "1303.4945", | ||
| primaryClass = "physics.comp-ph", | ||
| doi = {10.1051/0004-6361/201321494}, | ||
| url = {https://doi.org/10.1051/0004-6361/201321494}, | ||
| year = 2013, | ||
| month = {jun}, | ||
| publisher = {{EDP} Sciences}, | ||
| volume = 554, | ||
| pages = {A112}, | ||
| author = {M. Reinecke and D. S. Seljebotn}, | ||
| title = {Libsharp---spherical harmonic transforms revisited}, | ||
| journal = {Astronomy \& Astrophysics}, | ||
| archivePrefix ="arXiv", | ||
| eprint = "1303.4945", | ||
| primaryClass = "physics.comp-ph", | ||
| } | ||
|
|
||
| @article{Waldvogel_2006, | ||
| doi = {10.1007/s10543-006-0045-4}, | ||
| url = {https://doi.org/10.1007/s10543-006-0045-4}, | ||
| year = 2006, | ||
| month = {mar}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = {46}, | ||
| number = {1}, | ||
| pages = {195--202}, | ||
| author = {Jörg Waldvogel}, | ||
| title = {Fast Construction of the Fej{\'{e}}r and Clenshaw--Curtis Quadrature Rules}, | ||
| journal = {{BIT} Numerical Mathematics} | ||
| doi = {10.1007/s10543-006-0045-4}, | ||
| url = {https://doi.org/10.1007/s10543-006-0045-4}, | ||
| year = 2006, | ||
| month = {mar}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = 46, | ||
| number = 1, | ||
| pages = {195--202}, | ||
| author = {Jörg Waldvogel}, | ||
| title = {Fast Construction of the Fej{\'{e}}r and Clenshaw--Curtis Quadrature Rules}, | ||
| journal = {{BIT} Numerical Mathematics} | ||
| } | ||
|
|
||
| @article{Xing_2019, | ||
| doi = {10.1007/s00190-019-01331-0}, | ||
| url = {https://doi.org/10.1007/s00190-019-01331-0}, | ||
| year = 2019, | ||
| month = {dec}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = {94}, | ||
| number = {1}, | ||
| author = {Zhibin Xing and Shanshan Li and Miao Tian and Diao Fan and Chi Zhang}, | ||
| title = {Numerical experiments on column-wise recurrence formula to compute fully normalized associated Legendre functions of ultra-high degree and order}, | ||
| journal = {Journal of Geodesy} | ||
| doi = {10.1007/s00190-019-01331-0}, | ||
| url = {https://doi.org/10.1007/s00190-019-01331-0}, | ||
| year = 2019, | ||
| month = {dec}, | ||
| publisher = {Springer Science and Business Media {LLC}}, | ||
| volume = 94, | ||
| number = 1, | ||
| author = {Zhibin Xing and Shanshan Li and Miao Tian and Diao Fan and Chi Zhang}, | ||
| title = {Numerical experiments on column-wise recurrence formula to compute fully | ||
| normalized associated Legendre functions of ultra-high degree and order}, | ||
| journal = {Journal of Geodesy} | ||
| } |
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