A structure-preserving discretization of nonlinear schrödinger equation

Journal of Computational Mathematics

Volumn 17, Issue 5, 1999, Pages 553-560

  Huang, Ming You ^a  

^a JUIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1042284864     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. Feng Kang, On Difference Schemes and Symplectic Geometry, Proceedings of the 1984 Beijing Symposium on Differential Geometry and Differential Equations, ed. by Feng Kang, Science Press, 1995.
2. Feng Kang, Qin Mengzhao, The Symplectic Methods for the Computation of Hamiltonian Equations, Numerical Methods for Partial Differential Equations, Lecture Notes in Mathematics, Proceedings 1297, Springer-Verlag, 1987, 1-37.
3. J.M. Sanz-Serna, Runge-Kutta schemes for Hamiltonian systems, BIT, 28 (1988), 877-883.
4. P.J. Channel, C. Scovel, Symplectic Itegration of Hamiltonian System, Los Aimers National Laboratory Preprint LA-UR-88-1828, 1988.
5. M.Y. Huang, A Hamiltonian Approximation for the Wave Equation on N-Dimensional Spheres, Numerical Methods for Partial Differential Equations, Proceedings 1297, Lecture Notes in Mathematics, Springer-Verlag, 1987, 50-60.
6. M.Y. Huang, A Hamiltonian approximation to simulate solitary waves of the Korteweg-de Vries equation, Math, of Comp., 56:194 (1991), 607-627.