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Numerical Shadowing Near Hyperbolic Trajectories
dc.contributor.author | Van Vleck, Erik S. | |
dc.date.accessioned | 2015-04-02T16:27:02Z | |
dc.date.available | 2015-04-02T16:27:02Z | |
dc.date.issued | 1995-04-05 | |
dc.identifier.citation | Van Vleck, Erik. "Numerical Shadowing Near Hyperbolic Trajectories." (1995) SIAM J. Sci. Comput., 16(5), 1177–1189. (13 pages). http://dx.doi.org/10.1137/0916068. | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/17287 | |
dc.description | This is the published version, also available here: http://dx.doi.org/10.1137/0916068. | en_US |
dc.description.abstract | Shadowing is a means of characterizing global errors in the numerical solution of initial value ordinary differential equations by allowing for a small perturbation in the initial condition. The method presented in this paper allows for a perturbation in the initial condition and a reparameterization of time in order to compute the shadowing distance in the neighborhood of a periodic orbit or more generally in the neighborhood of an attractor. The method is formulated for one-step methods and both a serial and parallel implementation are applied to the forced van der Pol equation, the Lorenz equation and to the approximation of a periodic orbit. | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.title | Numerical Shadowing Near Hyperbolic Trajectories | en_US |
dc.type | Article | |
kusw.kuauthor | Van Vleck, Erik | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1137/0916068 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |