Variable steps for reversible integration methods
暂无分享,去创建一个
[1] J. Moser. Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics. , 1973 .
[2] J. M. Sanz-Serna,et al. Numerical Hamiltonian Problems , 1994 .
[3] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[4] C. Scovel,et al. Symplectic integration of Hamiltonian systems , 1990 .
[5] Haruo Yoshida. Recent progress in the theory and application of symplectic integrators , 1993 .
[6] Yifa Tang. The necessary condition for a Runge-Kutta scheme to be symplectic for Hamiltonian systems , 1993 .
[7] E. Hairer,et al. Solving Ordinary Differential Equations I , 1987 .
[8] Robert D. Skeel,et al. An explicit Runge-Kutta-Nystro¨m method is canonical if and only if its adjoint is explicit , 1992 .
[9] C. Scovel,et al. Symplectic integration of Hamiltonian systems , 1990 .
[10] Urs Kirchgraber,et al. Multi-step methods are essentially one-step methods , 1986 .
[11] M. J,et al. RUNGE-KUTTA SCHEMES FOR HAMILTONIAN SYSTEMS , 2005 .
[12] K. Nipp,et al. Invariant curves for variable step size integrators , 1991 .
[13] Daniel Stoffer,et al. General linear methods: connection to one step methods and invariant curves , 1993 .
[14] J. M. Sanz-Serna,et al. Symplectic integrators for Hamiltonian problems: an overview , 1992, Acta Numerica.
[15] C. Scovel,et al. A survey of open problems in symplectic integration , 1993 .
[16] F. Lasagni. Canonical Runge-Kutta methods , 1988 .