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