@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},
year = {1995},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {29},
number = {3},
mrnumber = {1342710},
zbl = {0831.76065},
language = {en},
url = {https://www.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 - https://www.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 https://www.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. https://www.numdam.org/item/M2AN_1995__29_3_303_0/
[1] and , Numerical Analysis of Spectral Methods, CBMS-NSF, SIAM, Philadelphia, 1977. | Zbl
[2] and , Spectral and pseudospectral approximations of the Navier-Stokes equations, SIAM, J. Numer. Anal., 19, 1982, 761-780. | Zbl | MR
[3] , The convergence of the spectral scheme for solving two-dimensional vorticity equation, J. Comp. Math., 1, 1983, 353-362. | Zbl | MR
[4] , Spectral method for solving Navier-Stokes equation, Scientia Sinica, 28, 1985, 1139-1153. | Zbl | MR
[5] and , Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain, Model. Math. et Anal. Numer., 21, 1987, 93-123. | Zbl | MR | Numdam | EuDML
[6] and , The Fourier pseudospectral method for three-dimensional vorticity equations, Acta Math. Appl. Sinica, 4, 1988, 55-68. | Zbl | MR
[7] , , and , Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988. | Zbl | MR
[8] , , and , The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations, J. Comp. Phys., 101, 1992, 207-217. | Zbl | MR
[9] and , Fourier-Chebyshev spectral method for three-dimensional voriticity equation with unilaterally periodic boundary condition, Appl. Math. J. of Chinese Uni, 7, 1992,350-366. | Zbl | MR
[10] and , Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation, Numer. Math., 66, 1994, 329-346. | Zbl | MR
[11] , Computational Fluid Dynamics, 2'nd edition, Hermosa Publisher, Albuquerque, 1976. | Zbl | MR
[12] and , Legendre and Chebyshev spectral approximations of Burgers' equation, Numer. Math., 37, 1981, 321-332. | Zbl | MR
[13] and , Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38, 1982, 67-86. | Zbl | MR
[14] and , 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. | Zbl | MR
[15] , Difference Methods for Partial Differential Equations, Science Press, Beijing, 1988.
[16] and , The Chebyshev spectral method for Burgers-like equations, J. Comp. Math., 6, 1988, 48-53. | Zbl | MR





