On the numerical simulation of propagation of micro-level inherent uncertainty for chaotic dynamic systems — mentioned by fdej

Thu, 12 Oct 2017 23:25:25 GMT

In fact the more general N-body problem is perhaps one of the most classical uses of high order Taylor methods, in particular for studying the long term stability of the solar system. Here is a paper from 1993: http://adsabs.harvard.edu/full/1993A%26A...272..687L. Rigorous error analysis of Taylor methods for ODEs goes all the way back to Moore's original work on interval arithmetic in the 1960s; in the early 2000s Makino and Berz developed so-called Taylor models which combine rigorous error bounds with accurate long-term propagation of changes due to perturbations in the initial values (see…

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On the numerical simulation of propagation of micro-level inherent uncertainty for chaotic dynamic systems · HackerPapers discussions

On the numerical simulation of propagation of micro-level inherent uncertainty for chaotic dynamic systems — mentioned by fdej