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On the predictability of chaotic systems with respect to maximally effective computation time

On the predictability of chaotic systems with respect to maximally effective computation time 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Sinica" Springer Journals

On the predictability of chaotic systems with respect to maximally effective computation time

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References (12)

Publisher
Springer Journals
Copyright
2003 Chinese Society of Theoretical and Applied Mechanics
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/BF02487674
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

"Acta Mechanica Sinica"Springer Journals

Published: Apr 1, 2003

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