Energy Conservation with Non-Symplectic Methods: Examples and Counter-Examples
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[1] John C. Butcher,et al. An algebraic theory of integration methods , 1972 .
[2] J. M. Sanz-Serna,et al. Order conditions for canonical Runge-Kutta schemes , 1991 .
[3] Ernst Hairer,et al. Symmetric multistep methods over long times , 2004, Numerische Mathematik.
[4] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[5] Haruo Yoshida,et al. Non-existence of the modified first integral by symplectic integration methods , 2001 .
[6] E. Hairer,et al. Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems , 1993 .
[7] E. Hairer. Backward analysis of numerical integrators and symplectic methods , 1994 .
[8] Ernst Hairer,et al. The life-span of backward error analysis for numerical integrators , 1997 .
[9] Ernst Hairer,et al. On the Butcher group and general multi-value methods , 1974, Computing.
[10] Robert I. McLachlan,et al. Energy drift in reversible time integration , 2004 .
[11] Haruo Yoshida. Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem , 2002 .
[12] E. Hairer,et al. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .
[13] G. Benettin,et al. On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms , 1994 .