Resonances and instabilities in symmetric multistep methods

Details Resonances and instabilities in symmetric multistep methods Resonances and instabilities in symmetric multistep methods

1999-01-12

arxiv.org/abs/astro-ph/9901136v1

Astronomy and Astrophysics

Astrophysics

20 pages, includes 8 postscript figures, uses psfig.sty

Scientific paper

The symmetric multistep methods developed by Quinlan and Tremaine (1990) are shown to suffer from resonances and instabilities at special stepsizes when used to integrate nonlinear equations. This property of symmetric multistep methods was missed in previous studies that considered only the linear stability of the methods. The resonances and instabilities are worse for high-order methods than for low-order methods, and the number of bad stepsizes increases with the number frequencies present in the solution. Symmetric methods are still recommended for some problems, including long-term integrations of planetary orbits, but the high-order methods must be used with caution.

Affiliated with

Also associated with

No associations

Rating

Resonances and instabilities in symmetric multistep methods does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Resonances and instabilities in symmetric multistep methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonances and instabilities in symmetric multistep methods will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340724