The accuracy check in numerical integration of dynamical systems

Mathematics – Dynamical Systems

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

21

Accuracy, Numerical Integration, Three Body Problem, Two Body Problem, Error Analysis, Orbit Calculation

Scientific paper

A routine method for checking the accuracy of the numerical solution in the case of dynamical systems has been based on the use of known integrals of dynamical systems. It is suspected that the uncritical use of such integrals as accuracy diagnostic tools could, at least occasionally, lead to incorrect results. The present investigation is concerned with questions related to the reliability of the considered accuracy tests. Attention is given to the observation that the use of the total energy integral as an accuracy check in a three-body numerical experiment is quite unreliable. A suggestion made by Szebehely and Bettis (1970) regarding the use of an invariant integral relation as an accuracy check is also considered. It is found that numerical solutions have an 'inclination to keep each integral constant' so that they have much higher apparent accuracy than the coordinates and velocities. A revised technique is suggested and tested. This technique is found to provide a good check in stable regions.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The accuracy check in numerical integration of dynamical systems 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 The accuracy check in numerical integration of dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The accuracy check in numerical integration of dynamical systems will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1504488

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.