A Survey of Multiderivative Multistep Integrators

Details A Survey of Multiderivative Multistep Integrators A Survey of Multiderivative Multistep Integrators

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aj....112.1254h&link_type=abstract

Astronomical Journal v.112, p.1254

Astronomy and Astrophysics

Astronomy

Methods: Numerical

Scientific paper

A full survey of multiderivative, multistep integrators has been carried out, including higher-order derivatives of the conventional force function (acceleration) in the equation(s) of motion. Their stability intervals along the imaginary axis and the negative part of the real axis were explored. Most of them have strikingly high precision and some subgroups of these integrators are attractive because of their robust stability, as well as their efficiency. Among them, those using the highest-order derivatives only are the most stable members. Numerical experiments have shown that several of them are competitive in problems such as the restricted three-body problem. An algorithm is available to derive the formula for any specified integrator in this catalog.

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