Publication | Open Access
ON NUMERICAL PREDICTABILITY IN THE CHAOS SYSTEM
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2001
Year
Numerical AnalysisDeterministic Dynamical SystemNumerical Weather PredictionEngineeringNumerical ComputationChaos SystemChaos TheoryUncertainty QuantificationSelf-memorization EquationsNumerical SimulationComputational Uncertainty PrincipleBusinessClimate ModelingSystems EngineeringHigh-dimensional ChaosModel UncertaintyUncertainty ModelingNumerical Methods
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.