Symplectic computation of Hamiltonian systems (I)

Journal of Computational Mathematics

Volumn 20, Issue 3, 2002, Pages 267-276

  Tang, Yi Fa ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Formal energy; Mid point rule

Indexed keywords

CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; PENDULUMS;

FORMAL ENERGY; MIDPOINT RULE; SYMPLECTIC COMPUTATION;

HAMILTONIANS;

EID: 0036558975     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. On the hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms
2. On difference schemes and symplectic geometry
3. On the approximation of linear H-systems
4. Backward analysis of numerical integrators and symplectic methods
5. Hamiltonian systems and hamiltonian algorithms on compact riemannian manifolds
6. Formal energy of a symplectic scheme for hamiltonian systems and its applications (I)
7. Formal energies of symplectic schemes for hamiltonian systems and their applications (III)
8. Splitting symplectic methods for the nonlinear schrodinger equation
9. Symplectic algorithms for Hamiltonian systems and their applications to nonlinear schrodinger equations
10. A note on construction of higher-order symplectic schemes from Lower-order one via formal energies
11. Formal energy of symplectic scheme for Hamiltonian systems and its applications (II)
12. Symplectic methods for the nonlinear schrodinger equation
13. Is the formal energy of the mid-point rule convergent
14. Conserved quantities of symplectic integrators for Hamiltonian systems