A symplectic algorithm for wave equations

Mathematics and Computers in Simulation

Volumn 43, Issue 1, 1997, Pages 29-38

  Lu, Xiaowu ^a,b   Schmid, Rudolf ^a  

^a EMORY UNIVERSITY   (United States)

^b Keane Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; FINITE DIFFERENCE METHOD; FUNCTIONS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; NUMERICAL METHODS;

HAMILTONIAN SYSTEM; SYMPLECTIC STRUCTURE; WAVE EQUATIONS;

ALGORITHMS;

EID: 0030734876     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(96)00052-3     Document Type: Article

References (8)

1. K. Feng, On difference schemes and symplectic geometry, in: K. Feng, ed., Proc. 1984 Beijing Internat. Symp. on Differential Geometry and Differential Equations (Science Press, Beijing, 1985) 42-58.
2. K. Feng and M.Z. Qin, Hamiltonian algorithms for Hamiltonian system and a comparative numerical study, Comput. Phys. Comm. 65 (1991) 173-187.
3. G.H. Golub and J.M. Ortega, Scientific Computation and Differential Equations, An Introduction to Numerical Methods (Academic Press, San Diego, 1981).
4. M.Z. Qin, D.L. Wang and M.Q. Zhang, Explicit symplectic difference schemes for separable Hamiltonian system, J. Comput. Math. 9(3) (1991) 211-221.
5. M.Z. Qin and M.Q. Zhang, Multi-stage symplectic schemes of two Kinds of Hamiltonian systems for wave equations, Comput. Math. Appl. 19(10) (1990) 51-62.
6. R.D. Richtmyer, Difference Methods for Initial-Value Problems (Inter Science, New York, 1961).
7. G.H. Sod, Numerical Methods in Fluid Dynamics: Initial and Initial Boundary-value Problems (Cambridge University Press, Cambridge, 1985).
8. G. Zhong and K. Feng, On the approximation of linear Hamiltonian systems, J. Comput. Math. 6(1) (1988) 88-97.