dc.contributor.author | Merritt, David | |
dc.contributor.author | Mikkola, Seppo | |
dc.date.accessioned | 2008-11-14T17:49:14Z | |
dc.date.available | 2008-11-14T17:49:14Z | |
dc.date.issued | 2006-05 | |
dc.identifier.citation | Monthly Notices of the Royal Astronomical Society 372 (2006) 219-223 | en_US |
dc.identifier.issn | 0035-8711 | |
dc.identifier.uri | http://hdl.handle.net/1850/7492 | |
dc.description | RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/ | |
dc.description.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. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Blackwell Publishing: Monthly Notices of the Royal Astronomical Society | en_US |
dc.relation.ispartofseries | vol. 372 | en_US |
dc.relation.ispartofseries | pps. 219-223 | en_US |
dc.subject | Stellar dynamics | en_US |
dc.subject | methods - N-body simulations, celestial mechanics | en_US |
dc.title | Algorithmic regularization with velocity-dependent forces | en_US |
dc.type | Article | en_US |
dc.identifier.url | http://dx.doi.org/10.1111/j.1365-2966.2006.10854.x | |