A comment on the arguments about the reliability and convergence of chaotic simulations
Chaotic Dynamics
2014-10-16 v1
Abstract
Yao and Hughes commented (Tellus-A, 60: 803 - 805, 2008) that "all chaotic responses are simply numerical noise and have nothing to do with the solutions of differential equations". However, using 1200 CPUs of the National Supercomputer TH-A1 and a parallel integral algorithm of the so-called "Clean Numerical Simulation" (CNS) based on the 3500th-order Taylor expansion and data in 4180-digit multiple precision, one can gain reliable, convergent chaotic solution of Lorenz equation in a rather long interval [0,10000]. This supports Lorenz's optimistic viewpoint (Tellus-A, 60: 806 - 807, 2008): "numerical approximations can converge to a chaotic true solution throughout any finite range of time".
Keywords
Cite
@article{arxiv.1401.0256,
title = {A comment on the arguments about the reliability and convergence of chaotic simulations},
author = {Shijun Liao},
journal= {arXiv preprint arXiv:1401.0256},
year = {2014}
}
Comments
2 pages