A hamiltoniana pproximationt o simulate solitaryw aveso f the korteweg-dev ries equation

Mathematics of Computation

Volumn 56, Issue 194, 1991, Pages 607-620

  Huang, Mingyou ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966222428     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1991-1068815-X     Document Type: Article

References (9)

1. V. I. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, 1978.
2. D. N. Arnold and R. Winther, A superconvergent finite element method for the Korteweg-de Vries equation, Math. Comp. 38 (1982), 23-36.
3. J. Douglas, Jr., T. Dupont, and M. F. Wheeler, A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations, Math. Comp. 32 (1978), 345-362.
4. Feng Kang, On difference schemes and symplectic geometry, Proc. 1984 Beijing Symposium on Differential Geometry and Differential Equations (Feng Kang, ed.), Science Press, Beijing, 1985, pp. 42-58.
5. P. D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21 (1968), 467-490.
6. V. Thomee, Negative norm estimates and superconvergence in Galerkin methods for parabolic problems, Math. Comp. 34 (1980), 93-113.
7. A. C. Vliegenthart, On finite difference methods for the Korteweg-de Vries equation, J. Engrg. Math. 5 (1971), 137-155.
8. L. B. Wahlbin, A dissipative Galerkin method for the numerical solution offirst order hyperbolic equations, Mathematical Aspects of Finite Element Methods in P.D.E.s (C. de Boor, ed.), 1974.
9. R. Winther, A conservative finite element method for the Korteweg-de Vries equation, Math. Comp. 34 (1980), 23-43.