ON NUMERICAL PREDICTABILITY IN THE CHAOS SYSTEM
TL;DRAbstract
The rounding-off error introduces uncertainty in the numerical solution. A computational uncertainty principle was explained by using climate model and the Rossler and super chaos system, and the maximally effective computation time and optimal stepsize are discussed. Under optimal stepsize in solving nonlinear ordinary differential equations, self-memorization equations of chaos systems constitute a new approach to numerical weather prediction.
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The rounding-off error introduces uncertainty in the numerical solution. A computational uncertainty principle was explained by using climate model and the Rossler and super chaos system, and the maximally effective computation time and optimal stepsize are discussed. Under optimal stepsize in solving nonlinear ordinary differential equations, self-memorization equations of chaos systems constitute a new approach to numerical weather prediction.
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