P. Augier and E. Lindborg, A new formulation of the spectral energy budget of the atmosphere, with application to two high-resolution general circulation models. submitted to, J. Atmos. Sci, p.607, 1211.
URL : https://hal.archives-ouvertes.fr/hal-01392599

A. Brun and M. Rempel, Large Scale Flows in the Solar Convection Zone, Space Science Reviews, vol.603, issue.1-4, pp.151-173, 2009.
DOI : 10.1007/s11214-008-9454-9

U. R. Christensen, J. Aubert, P. Cardin, E. Dormy, S. Gibbons et al., A numerical dynamo benchmark, Physics of the Earth and Planetary Interiors, vol.128, issue.1-4, pp.1-4, 2001.
DOI : 10.1016/S0031-9201(01)00275-8
URL : https://hal.archives-ouvertes.fr/insu-00498652

N. G. Dickson, K. Karimi, and F. Hamze, Importance of explicit vectorization for CPU and GPU software performance, Journal of Computational Physics, vol.230, issue.13, pp.5383-5398, 2011.
DOI : 10.1016/j.jcp.2011.03.041

J. Driscoll and D. M. Healy, Computing Fourier Transforms and Convolutions on the 2-Sphere, Advances in Applied Mathematics, vol.15, issue.2, pp.202-250, 1994.
DOI : 10.1006/aama.1994.1008

A. Figueroa, N. Schaeffer, H. C. Nataf, and D. Schmitt, Modes and instabilities in magnetized spherical Couette flow, Journal of Fluid Mechanics, vol.64, pp.445-469, 2013.
DOI : 10.1103/PhysRev.69.106
URL : https://hal.archives-ouvertes.fr/insu-00695391

M. Frigo, S. G. Johnson, and . Feb, The Design and Implementation of FFTW3, Proceedings of the IEEE, vol.93, issue.2, pp.216-231, 2005.
DOI : 10.1109/JPROC.2004.840301

G. A. Glatzmaier, Numerical simulations of stellar convective dynamos. I. the model and method, Journal of Computational Physics, vol.55, issue.3, pp.461-484, 1984.
DOI : 10.1016/0021-9991(84)90033-0

D. M. Healy, D. N. Rockmore, P. J. Kostelec, and S. Moore, FFTs for the 2-Sphere-Improvements and Variations, Journal of Fourier Analysis and Applications, vol.9, issue.4, pp.341-385, 2003.
DOI : 10.1007/s00041-003-0018-9

M. J. Mohlenkamp, A fast transform for spherical harmonics, The Journal of Fourier Analysis and Applications, vol.3, issue.1, 1999.
DOI : 10.1007/BF01261607

D. Potts, G. Steidl, and M. Tasche, Fast algorithms for discrete polynomial transforms, Mathematics of Computation, vol.67, issue.224, pp.1577-1590, 1998.
DOI : 10.1090/S0025-5718-98-00975-2

M. Reinecke and . Feb, Libpsht ??? algorithms for efficient spherical harmonic transforms, Astronomy & Astrophysics, vol.526, 1010.
DOI : 10.1051/0004-6361/201015906

A. Sakuraba and . Feb, Effect of the inner core on the numerical solution of the magnetohydrodynamic dynamo, Physics of the Earth and Planetary Interiors, vol.111, issue.1-2, pp.105-121, 1999.
DOI : 10.1016/S0031-9201(98)00150-2

A. Sakuraba and P. H. Roberts, Generation of a strong magnetic field using uniform heat flux at the surface of the core, Nature Geoscience, vol.111, issue.11, pp.802-805, 2009.
DOI : 10.1038/ngeo643

N. Schaeffer, D. Jault, P. Cardin, and M. Drouard, On the reflection of Alfv??n waves and its implication for Earth???s core modelling, Geophysical Journal International, vol.191, issue.2, pp.508-516, 2012.
DOI : 10.1111/j.1365-246X.2012.05611.x

R. Suda and M. Takami, A fast spherical harmonics transform algorithm, Mathematics of Computation, vol.71, issue.238, pp.703-715, 2002.
DOI : 10.1090/S0025-5718-01-01386-2

N. M. Temme, Gauss quadrature, Digital Library of Mathematical Functions (DLMF). National Institute of Standards and Technology (NIST), Ch. 3.5(v), 2011.

M. Tygert, Fast algorithms for spherical harmonic expansions, II, Journal of Computational Physics, vol.227, issue.8, pp.4260-4279, 2008.
DOI : 10.1016/j.jcp.2007.12.019

J. Wicht and A. Tilgner, Theory and Modeling of Planetary Dynamos, Space Science Reviews, vol.44, issue.1-4, pp.501-542, 2010.
DOI : 10.1007/s11214-010-9638-y