The dynamical systems approach to numerical integration

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Abstract

The dynamical systems approach to numerical integration is reviewed and extended. The new method is compared to some alternative methods based on the Lie series approach. The test problem is the motion of the outer planets. The algorithms developed using the dynamical systems approach perform well.

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APA

Jack, W. (2018). The dynamical systems approach to numerical integration. Monthly Notices of the Royal Astronomical Society, 474(3), 3273–3279. https://doi.org/10.1093/mnras/stx2906

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