Influence of round-off errors on the reliability of numerical simulations of chaotic dynamic systems
Chaotic Dynamics
2019-08-13 v1
Abstract
We illustrate that, like the truncation error, the round-off error has a significant influence on the reliability of numerical simulations of chaotic dynamic systems. Due to the butterfly-effect, all numerical approaches in double precision cannot give a reliable long-term simulation of chaotic dynamic systems. So, in order to avoid man-made uncertainty of numerical simulations of chaos, we had to greatly decrease both of the truncation and round-off error to a small enough level, plus a verification of solution reliability by means of an additional computation using even smaller truncation and round-off errors.
Keywords
Cite
@article{arxiv.1707.04720,
title = {Influence of round-off errors on the reliability of numerical simulations of chaotic dynamic systems},
author = {Shijie Qin and Shijun Liao},
journal= {arXiv preprint arXiv:1707.04720},
year = {2019}
}
Comments
11 pages, 8 figures, accepted by J. Applied Nonlinear Dynamics