The calculus of generating functions and the formal energy for Hamiltonian algorithms

Journal of Computational Mathematics

Volumn 16, Issue 6, 1998, Pages 481-498

  Feng, K ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Calculus of generating functions; Darboux transformation cotangent bundles; Formal energy; Generating function; Invariance of generating function; Lagrangian submanifold

Indexed keywords

EID: 33746271716     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. K. Feng, On difference schemes and symplectic geometry, In Feng K, ed. Proc 1984 Beijing Symp Diff Geometry and Diff Equations, Beijing: Science Press, (1985), 42-58.
2. K. Feng, Difference schemes for Hamiltonian formalism and symplectic geometry, J Comp Math., 4 : 3 (1986), 279-289.
3. K. Feng, M.Z. Qin, The symplectic methods for computation of Hamiltonian equations. In Y.L. Zhu, B.Y. Guo, ed. Proc Conf on Numerical Methods for PDE's. Berlin: Springer, 1987. 1-37. Lect Notes in Math 1297.
4. K. Feng, H.M. Wu, M.Z. Qin, D.L. Wang, Construction of canonical difference schemes for Hamiltonian formalism via generating functions, J. Comput. Math., 7 : 1 (1989), 71-96.
5. K. Feng, The Hamiltonian way for computing Hamiltonian dynamics, In Spigler R, ed. Applied and Industrial Mathematics. Netherlands: Kluwer, 1991, 17-35.
6. Z. Ge, K. Feng, On the approximation of Hamiltonian systems, J. Comput. Math., 6 : 1 (1988), 88-97.
7. K. Feng, D.L. Wang, A note on conservation laws of symplectic difference schemes for Hamiltonian systems, J. Comput. Math., 9 : 3 (1991), 229-237.