Algorithmic regularization with velocity-dependent forces

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Title: Algorithmic regularization with velocity-dependent forces
Author: Merritt, David; Mikkola, Seppo
Abstract: Algorithmic regularization uses a transformation of the equations of motion such that the leapfrog algorithm produces exact trajectories for two-body motion as well as regular results in numerical integration of the motion of strongly interacting few-body systems. That algorithm alone is not sufficiently accurate and one must use the extrapolation method for improved precision. This requires that the basic leapfrog algorithm be time-symmetric, which is not directly possible in the case of velocity-dependent forces, but is usually obtained with the help of the implicit midpoint method. Here we suggest an alternative explicit algorithmic regularization algorithm which can handle velocity-dependent forces. This is done with the help of a generalized midpoint method to obtain the required time symmetry, thus eliminating the need for the implicit midpoint method and allowing the use of extrapolation.
Description: RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/
Record URI: http://hdl.handle.net/1850/7492
Publishers URL: http://dx.doi.org/10.1111/j.1365-2966.2006.10854.x
Date: 2006-05

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