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Abstract: We consider the numerical treatment of Hamiltonian systems that contain a potential which grows large when the system deviates from the equilibrium value of the potential. Such systems arise, e.g., in molecular dynamics simulations and the spatial discretization of Hamiltonian partial differential equations. Since the presence of highly oscillatory terms in the solutions forces any explicit integrator to use very small step-size, the numerical integration of such systems provides a challenging... (Update)
Context of citations to this paper: More
...for a physical alternative: we may construct v by using additional physical insight in the dynamics, e.g. in form of additional postulates. [9] and [10] may be taken as examples for this approach. In [9] a result from statistical mechanics (equipartition of energy for ergodic...
...then the step size Deltat has to satisfy Deltat ffl which leads to extremely long simulation times. In various previous publications [8], 10] 15] it has been assumed that U ffl is a convex function with the minima condition rU ffl (q=ffl) 0 defining a m dimensional...
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BibTeX entry: (Update)
S. Reich. Smoothed dynamics of highly oscillatory Hamiltonian systems. Physica D, 89:28--42, 1995. http://citeseer.ist.psu.edu/article/reich95smoothed.html More
@misc{ reich95smoothed,
author = "S. Reich",
title = "Smoothed dynamics of highly oscillatory Hamiltonian systems",
text = "S. Reich. Smoothed dynamics of highly oscillatory Hamiltonian systems.
Physica D, 89:28--42, 1995.",
year = "1995",
url = "citeseer.ist.psu.edu/article/reich95smoothed.html" }
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