On Some Difficulties in Integrating Highly Oscillatory Hamiltonian Systems
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Publisher
Springer Berlin Heidelberg
Link
http://link.springer.com/content/pdf/10.1007/978-3-642-58360-5_15.pdf
Reference19 articles.
1. M.P. Allen and T.J. Tildesley. Computer Simulations of Liquids. Clarendon Press, Oxford, 1987.
2. U. Ascher. Stabilization of invariants of discretized differential systems. Numerical Algorithms, 14: 1–23, 1997.
3. U. Ascher and S. Reich. The midpoint scheme and variants for Hamiltonian systems: advantages and pitfalls. SIAM J. Sci. Comput., to appear.
4. J.J. Biesiadecki and R.D. Skeel. Danger of multiple-time-step methods. J. Comput. Phys., 109: 318–328, 1993.
5. F.A. Bornemann and Ch. Schütte. Homogenization of Hamiltonian systems with a strong constraining potential. Physica D, 102: 57–77, 1997.
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