A new method for fast transforms in parity-mixed PDEs: Part I. Numerical techniques and analysis

Journal of Computational Physics - Tập 227 Số 17 - Trang 7999-8016 - 2008
Geoffrey M. Vasil1, Nicholas H. Brummell2,3, Keith Julien4
1Department of Atmospheric and Oceanic Sciences and JILA, University of Colorado, Boulder, CO 80309, United States
2Department of Applied Mathematics, University of California, Santa Cruz, CA 95064, United States
3Department of Astrophysical and Planetary Sciences and JILA, University of Colorado, Boulder, CO 80309, United States
4Department of Applied Mathematics, University of Colorado, Boulder, CO 80309, United States

Tóm tắt

Từ khóa


Tài liệu tham khảo

Boyd, 2001

D. Gottlieb, S. Orszag, Numerical analysis of spectral methods: theory and applications, SIAM, Philadelphia, 1977.

Katznelson, 2004

Orszag, 1971, On the elimination of aliasing errors in finite-difference schemes by filtering high-wavenumber components, J. Atmos. Sci., 28, 1074, 10.1175/1520-0469(1971)028<1074:OTEOAI>2.0.CO;2

Vasil, 2008, A new method for fast transforms in parity-mixed PDEs: Part II. Application to confined rotating convection, J. Comp. Phys., 227, 8017, 10.1016/j.jcp.2008.04.040

Spiegel, 1960, On the Boussinesq approximation for a compressible fluid, Astrophys. J., 131, 442, 10.1086/146849

H. Greenspan, The Theory of Rotating Fluids, Cambridge, London, 1969.

W. Press, S. Teukolsky, W. Vetterling, B. Flannery, Numerical Recipes in FORTRAN: The Art of Scientific Computing, second ed, Cambridge, 1992.

E. Lieb, M. Loss, Analysis, American Mathematical Society Providence, 1997.

Frigo, 2005, The design and implementation of FFTW3, Proceedings of the IEEE: Special Issue on Program Generation, Optimization, and Platform Adaption, 92, 216

Beylkin, 2005, On approximation of functions by exponential sums, Appl. Comput. Harmon. Anal., 19, 17, 10.1016/j.acha.2005.01.003

Abramowitz, 1972