A Performance Comparison of Associated Legendre Projections

Journal of Computational Physics

Volumn 168, Issue 2, 2001, Pages 339-355

  Spotz, William F ^a   Swarztrauber, Paul N ^a  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

Associated Legendre functions; Fast multipole method; Spherical harmonics; Weighted orthogonal complement

Indexed keywords

ORTHOGONAL FUNCTIONS;

ASSOCIATED LEGENDRE FUNCTIONS; DYNAMICAL CORE; FAST-MULTIPOLE METHODS; FORWARD-AND-BACKWARD; LEGENDRE; ORTHOGONAL COMPLEMENTS; PERFORMANCE COMPARISON; PROJECTION ALGORITHMS; SPHERICAL HARMONICS; WEIGHTED ORTHOGONAL COMPLEMENT;

CLIMATE MODELS;

EID: 0038501520     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6700     Document Type: Article

References (15)

1. Driscoll J., Healy D. Computing Fourier transforms and convolutions on the 2-sphere. Adv. Appl. Math. 15:1994;202.
2. D. M. Healy, Jr., D. N. Rockmore, and S. B. Moore, An FFT for the 2-sphere and applications, in Proceedings ICASSP 96, Atlanta, May 1996, pp. 1323-1326.
3. Mohlenkamp M. J. A fast transform for spherical harmonics. J. Fourier Anal. Appl. 5:1999;159.
4. Spotz W. F., Taylor M. A., Swarztrauber P. N. Fast shallow water equation solvers in latitude-longitude coordinates. J. Comput. Phys. 145:1998;432.
5. Jakob-Chien R., Alpert B. K. A fast spherical filter with uniform resolution. J. Comput. Phys. 136:1997;580.
6. Yarvin N., Rokhlin V. A generalized one-dimensional fast multipole method with applications to filtering of spherical harmonics. J. Comput. Phys. 147:1998;594.
7. Swarztrauber P. N., Spotz W. F. Generalized discrete spherical harmonic transforms. J. Comput. Phys. 159:2000;213.
8. Machenhauer B., Daley R. A Baroclinic Primitive Equation Model with Spectral Representation in Three Dimensions. 1972.
9. Swarztrauber P. N. On the spectral approximation of discrete scalar and vector functions on the sphere. SIAM J. Numer. Anal. 16:1979;934.
10. Cheong H.-B. Double Fourier series on a sphere: Applications to elliptic and vorticity equations. J. Comput. Phys. 157:2000;327.
11. Ritchie H. Application of the semi-Lagrangian method to a spectral model of the shallow water equations. Mon. Weather Rev. 116:1988;1587.
12. Boyd J. P. Multipole expansions and pseudospectral cardinal functions: A new generalization of the fast Fourier transform. J. Comput. Phys. 103:1992;184.
13. Dilts G. A. Computation of spherical harmonic expansion coefficients via FFT's. J. Comput. Phys. 57:1985;439.
14. Swarztrauber P. N. The vector harmonic transform method for solving partial differential equations in spherical geometry. Mon. Weather Rev. 121:1993;3415.
15. Adams J. C., Swarztrauber P. N. Spherepack 3.0: A model development facility. Mon. Weather. Rev. 127:1999;1872.