The large time convergence of spectral method for generalized Kuramoto-Sivashinsky equations

Journal of Computational Mathematics

Volumn 15, Issue 1, 1997, Pages 1-13

  Guo, B ^a   Xiang, X M ^b  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

^b SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; ESTIMATION; MATHEMATICAL TECHNIQUES; NUMERICAL ANALYSIS; NUMERICAL METHODS;

ERROR ESTIMATION; GENERALIZED KURAMOTO-SIVASHINSKY EQUATION; GLOBAL SMOOTH SOLUTION; SPECTRAL METHOD;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0030783279     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Y. Kuramoto, Progr.Theoret.Phys.Suppl., 64(1978), 346-367.
2. G. Sivashinsky, Acta Astronant, 4(1977), 1117-1206.
3. M.A. Aimar and P. Dner, Universite de TOULON et da VAR, Preprint, 1982.
4. T. Shang and G. Sivashinsky, J. de Physique, 43(1982), 459-466.
5. B. Nicolaenko, B. Scherer and R. Temma, Comm. Part. Diff. Equa., 14(1989), 245-297.
6. B. Nicolaenko, B. Scherer and R. Temma, C. R. Acad. Sci. Paris, 298(1984), 23-25.
7. B. Nicolaenko, B. Scherer and R. Temma, Phys. D., 16(1985), 155-183.
8. C. Foias, B. Nicoleanko, G.R. Sell and R. Temma, C. R. Acad. Sci. Paris, 301(1985), 285-288.
9. B. Nicoleanko, Nuclear Phys. B., (1987), 453-484.
10. B. Guo, The global smooth solutions and universal attractors for some dissipative nonlinear evolution equations, in Proceedingers of the 6th International Workshop on Nonlinear Evolution Equations and Dynamical Systems, Springer Verlag, 1991.
11. B. Guo, On the Generalized Kuramoto-Sivashinsky Type Equations with the Dispersive Effects, IAPCM, 90-105.
12. C. Canuto and A. Quarteroni, Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38(1982), 67-86.