The error growth of some symplectic explicit Runge-Kutta Nystrom methods on long N-body simulations

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dc.contributor.author Sharp, P.W. en
dc.contributor.author Vaillancourt, R. en
dc.date.accessioned 2009-08-28T03:23:21Z en
dc.date.available 2009-08-28T03:23:21Z en
dc.date.issued 2001-08 en
dc.identifier.citation Department of Mathematics - Research Reports-469 (2001) en
dc.identifier.issn 1173-0889 en
dc.identifier.uri http://hdl.handle.net/2292/5159 en
dc.description.abstract At one extreme, the global error for symplectic explicit Runge-Kutta Nystrom (SERKN) methods consists entirely of truncation error and grows as t. At the other extreme, the global error consists entirely of random round-off error and grows stochastically as t^1.5. We use numerical testing to investigate how the global error grows for stepsizes between these two extremes. The testing is of representative SERKN methods of orders four to seven on three long N-body simulations of the Solar System. The work also provides an opportunity to introduce two new test problems for symplectic methods and to present comparisons of the efficiency of SERKN methods. en
dc.publisher Department of Mathematics, The University of Auckland, New Zealand en
dc.relation.ispartofseries Research Reports - Department of Mathematics en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.source.uri http://www.math.auckland.ac.nz/Research/Reports/view.php?id=469 en
dc.title The error growth of some symplectic explicit Runge-Kutta Nystrom methods on long N-body simulations en
dc.type Technical Report en
dc.subject.marsden Fields of Research::230000 Mathematical Sciences::230100 Mathematics en
dc.rights.holder The author(s) en


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