| [1] |
Haltiner G J, Williams R T . Numerical prediction and dynamical meteorology[M]. 2nd ed. New York: John Wiley & Sons, 1980.
|
| [2] |
Williamson D L, Drake J B, Hack J J , et al. A standard test set for numerical approximations to the shallow water equations in spherical geometry[J]. Journal of Computational Physics, 1992,102(1):211-224.
|
| [3] |
Cao W M, Guo B Y . A pseudospectral method for vorticity equations on spherical surface[J]. Acta Mathematicae Applicatae Sinica, 1997,13(2):176-187.
|
| [4] |
Guo B Y . A spectral method for the vorticity equation on the surface[J]. Mathematics and Computation, 1995,64(211):1067-1079.
|
| [5] |
Guo B Y, Cao W M . A spectral method for the fluid flow with low Mach number on the spherical surface[J]. SIAM Journal on Numerical Analysis, 1995,32(6):1764-1777.
|
| [6] |
Guo B Y, Huang W . Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations[J]. Applied Numerical Mathematics, 2007,57(8):939-961.
|
| [7] |
黄伟, 郭本瑜 . Navier-Stokes方程的全离散Jacobi-球面调和谱方法[J]. 应用数学和力学, 2008,29(4):409-431.
|
| [8] |
夏文杰, 黄伟 . 求解Fisher型方程的混合Legendre-球面调和谱方法[J]. 应用数学与计算数学学报, 2014,28(1):26-32.
|
| [9] |
邓红梅, 黄伟 . 二阶精度混合Legendre-球面调和拟谱方法求解Fisher型方程[J]. 上海大学学报(自然科学版), 2015,21(3):331-335.
|
| [10] |
Girault V, Raviart P A . Finite element appraximation of the Navier-Stokes equations[M]. Berlin: Springer-Verlag, 1979.
|
| [11] |
Guo B Y . Difference method for fluid dynamics-numerical solution of primitive equations[J]. Scientia Sinica, 1981,24(3):297-312.
|
| [12] |
郭本瑜 . 偏微分方程的差分解法 [M]. 北京: 科学出版社, 1988.
|
| [13] |
Roache P J . Computational fluid dynamics[M]. 2nd ed. Albuquerque: Hermosa Publishers, 1985.
|
| [14] |
Teman R. Navier-Stokes equations [M]. Amsterdam: North-Holland Publishing Company, 1977.
|
| [15] |
Hald O H . Convergence of Fourier methods for Navier-Stokes equations[J]. Journal of Computational Physics, 1981,40(2):305-317.
|
| [16] |
Maday Y, Qaurteroni A . Spectral and pseudospectral approximations of the Navier-Stokes equations[J]. SIAM Journal on Numerical Analysis, 1982,19(4):761-780.
|
| [17] |
Guo B Y . Spectral method for Navier-Stokes equations[J]. Scientia Sinica Series A: Mathematical, Physical, Astronomical and Technical Sciences, 1985,28:1139-1153.
|
| [18] |
Ma H P, Guo B Y . Combined finite element and pseudospectral method for the three-dimensional Navier-Stokes equations[J]. Chinese Anuals of Mathematics Series B, 1992,13(3):350-367.
|
)
