The step-transition operators for multi-step methods of ode's

Journal of Computational Mathematics

Volumn 16, Issue 3, 1998, Pages 193-202

  Feng, K ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Explike and loglike function; Fractional and rational approximation; Multi step methods; Nonexistence of SLMM; Simplecticity of LMM

Indexed keywords

EID: 18244384332     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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, 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.
3. K. Feng, H.M. Wu, M.Z. Qin, Canonical difference schemes for linear Hamiltonian formalism, J. Comp. Math., 8:4 (1990), 371-380.
4. K. Feng, On approximation by algebraic functions, Proc of the Annual Meeting of Computational Mathematics in Tianjing, China. 1990.
5. Y.F. Tang, The symplecticity of multi-step methods, Computers Math Applic., 25 (1993), 83-90.
6. W.Y. Li. Private communications.
7. Z. Ge, K. Feng, On the approximation of Hamiltonian systems, J. Comp. Math., 6:1 (1988), 88-97.
8. N. Obreschkoff, Neue Quadraturformeln, Abhandlungen pröß. Klasse: Akad Wiss, Math-Naturwiss, (1940), 1-20.