@article{M2AN_1995__29_3_303_0, author = {Guo, Ben-Yu and Li, Jian}, title = {Fourier-Chebyshev pseudospectral methods for the two-dimensional {Navier-Stokes} equations}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {303--337}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {29}, number = {3}, year = {1995}, mrnumber = {1342710}, zbl = {0831.76065}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1995__29_3_303_0/} }
TY - JOUR AU - Guo, Ben-Yu AU - Li, Jian TI - Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1995 SP - 303 EP - 337 VL - 29 IS - 3 PB - AFCET - Gauthier-Villars PP - Paris UR - http://archive.numdam.org/item/M2AN_1995__29_3_303_0/ LA - en ID - M2AN_1995__29_3_303_0 ER -
%0 Journal Article %A Guo, Ben-Yu %A Li, Jian %T Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations %J ESAIM: Modélisation mathématique et analyse numérique %D 1995 %P 303-337 %V 29 %N 3 %I AFCET - Gauthier-Villars %C Paris %U http://archive.numdam.org/item/M2AN_1995__29_3_303_0/ %G en %F M2AN_1995__29_3_303_0
Guo, Ben-Yu; Li, Jian. Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 3, pp. 303-337. http://archive.numdam.org/item/M2AN_1995__29_3_303_0/
[1] Numerical Analysis of Spectral Methods, CBMS-NSF, SIAM, Philadelphia, 1977. | Zbl
and ,[2] Spectral and pseudospectral approximations of the Navier-Stokes equations, SIAM, J. Numer. Anal., 19, 1982, 761-780. | MR | Zbl
and ,[3] The convergence of the spectral scheme for solving two-dimensional vorticity equation, J. Comp. Math., 1, 1983, 353-362. | MR | Zbl
,[4] Spectral method for solving Navier-Stokes equation, Scientia Sinica, 28, 1985, 1139-1153. | MR | Zbl
,[5] Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain, Model. Math. et Anal. Numer., 21, 1987, 93-123. | EuDML | Numdam | MR | Zbl
and ,[6] The Fourier pseudospectral method for three-dimensional vorticity equations, Acta Math. Appl. Sinica, 4, 1988, 55-68. | MR | Zbl
and ,[7] Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988. | MR | Zbl
, , and ,[8] The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations, J. Comp. Phys., 101, 1992, 207-217. | MR | Zbl
, , and ,[9] Fourier-Chebyshev spectral method for three-dimensional voriticity equation with unilaterally periodic boundary condition, Appl. Math. J. of Chinese Uni, 7, 1992,350-366. | MR | Zbl
and ,[10] Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation, Numer. Math., 66, 1994, 329-346. | MR | Zbl
and ,[11] Computational Fluid Dynamics, 2'nd edition, Hermosa Publisher, Albuquerque, 1976. | MR | Zbl
,[12] Legendre and Chebyshev spectral approximations of Burgers' equation, Numer. Math., 37, 1981, 321-332. | MR | Zbl
and ,[13] Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38, 1982, 67-86. | MR | Zbl
and ,[14] Variational methods in the theoretical analysis of spectral approximations, in Spectral Methods for Partial Differential Equations, 55-78, éd. by Voigt, R. G., Gottlieb, D. and Hussaini, M. Y., SIAM-CBMS, Philadelphia, 1984. | MR | Zbl
and ,[15] Difference Methods for Partial Differential Equations, Science Press, Beijing, 1988.
,[16] The Chebyshev spectral method for Burgers-like equations, J. Comp. Math., 6, 1988, 48-53. | MR | Zbl
and ,