On the predictability of chaotic systems with respect to maximally effective computation time |
| |
Authors: | Gao Xinquan Feng Guolin Dong Wenjie Chou Jifan |
| |
Institution: | (1) Department of Meteorological Sciences, Lanzhou University, 730000 Lanzhou, China;(2) Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029 Beijing, China;(3) Mathematics and Physics College, Yangzhou University, 225009 Yangzhou, China |
| |
Abstract: | The round-off error introduces uncertainty in the numerical solution. A computational uncertainty principle is explained and
validated by using chaotic systems, such as the climatic model, the Rossler and super chaos system. Maximally effective computation
time (MECT) and optimal stepsize (OS) are discussed and obtained via an optimal searching method. Under OS in solving nonlinear
ordinary differential equations, the self-memorization equations of chaotic systems are set up, thus a new approach to numerical
weather forecast is described.
The project supported by the National Natural Science Foundation of China (40275031 and 40231006), the National Key Program
for Developing Basic Sciences (G1999043408) and the Key Innovation Project of Chinese Academy of Sciences (K2CX1-10-07) |
| |
Keywords: | climate prediction chaotic systems numerical calculation maximally effective computation time retrospective scheme |
本文献已被 维普 SpringerLink 等数据库收录! |
|