The dynamical systems approach to numerical integration | Zendy

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The dynamical systems approach to numerical integration

Author(s) -

Jack Wisdom

Publication year - 2017

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/stx2906

Subject(s) - physics , dynamical systems theory , numerical integration , series (stratigraphy) , dynamical system (definition) , celestial mechanics , classical mechanics , motion (physics) , planet , mathematics , statistical physics , astrophysics , mathematical analysis , quantum mechanics , paleontology , biology

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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