| |
Table des matières de ce fascicule | Article précédent | Article suivant Guo, Ben-Yu; Li, Jian
Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations. RAIRO - Modélisation mathématique et analyse numérique, 29 no. 3 (1995), p. 303-337
Texte intégral djvu | pdf | Analyses MR 1342710 | Zbl 0831.76065
URL stable: http://www.numdam.org/item?id=M2AN_1995__29_3_303_0
[1] D. GOTTLIEB and S. A. ORSZAG, Numerical Analysis of Spectral Methods, CBMS-NSF, SIAM, Philadelphia, 1977. Zbl 0412.65058 [2] Y. MADAY and A. QUARTERONI, Spectral and pseudospectral approximations of the Navier-Stokes equations, SIAM, J. Numer. Anal., 19, 1982, 761-780. MR 664883 | Zbl 0503.76035 [3] Kuo PEN-YU, The convergence of the spectral scheme for solving two-dimensional vorticity equation, J. Comp. Math., 1, 1983, 353-362. MR 838695 | Zbl 0599.76030 [4] GUO BEN-YU, Spectral method for solving Navier-Stokes equation, Scientia Sinica, 28, 1985, 1139-1153. MR 828694 | Zbl 0626.76034 [5] Y. MADAY and B. METIVET, Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain, Model. Math. et Anal. Numer., 21, 1987, 93-123.
Numdam | MR 882688 | Zbl 0607.76024 [6] GUO BEN-YU and MA HE-PING, The Fourier pseudospectral method for three-dimensional vorticity equations, Acta Math. Appl. Sinica, 4, 1988, 55-68. MR 958583 | Zbl 0691.35081 [7] C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI and T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988. MR 917480 | Zbl 0658.76001 [8] Guo BEN-YU, Ma HE-PING, Cao WEI-MING and Huang HUI, The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations, J. Comp. Phys., 101, 1992, 207-217. MR 1173346 | Zbl 0757.76047 [9] Cao WEI-MING and Guo BEN-YU, 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 1193568 | Zbl 0766.76070 [10] Guo BEN-YU and Li JIAN, Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation, Numer. Math., 66, 1994, 329-346.
Article | MR 1246961 | Zbl 0796.76069 [11] R. J. ROACHE, Computational Fluid Dynamics, 2'nd edition, Hermosa Publisher, Albuquerque, 1976. MR 411358 | Zbl 0251.76002 [12] Y. MADAY and A. QUARTERONI, Legendre and Chebyshev spectral approximations of Burgers' equation, Numer. Math., 37, 1981, 321-332.
Article | MR 627106 | Zbl 0452.41007 [13] C. CANUTO and A. QUARTERONI, Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38, 1982, 67-86. MR 637287 | Zbl 0567.41008 [14] C. CANUTO and A. QUARTERONI, 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 758262 | Zbl 0539.65080 [15] Guo BEN-YU, Difference Methods for Partial Differential Equations, Science Press, Beijing, 1988. [16] Ma HE-PING and Guo BEN-YU, The Chebyshev spectral method for Burgers-like equations, J. Comp. Math., 6, 1988, 48-53. MR 958603 | Zbl 0641.65084
|
|
Copyright Cellule MathDoc 2013 | Crédit | Plan du site
|