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Titlebook: Stochastic Climate Models; Peter Imkeller,Jin-Song Storch Conference proceedings 2001 Springer Basel AG 2001 Differentialgleichungen.Scale

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A gallery of simple models from climate physicssphere and cryosphere — can be described by mathematical equations which result from fundamental physical laws. The other ‘nonphysical’ parts of the climate system, as e.g. the vegetation on land, the living beings in the sea and the abundance of chemical substances relevant to climate, are represen
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Hasselmann’s program revisited: the analysis of stochasticity in deterministic climate models incorporating the influence of the “weather” (fast variables) in the form of random noise..We will recast this program in the language of modern probability theory as follows: While the transition from a GCM (general circulation model) to an SDM (statistical dynamical model) (both deterministic) is
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Dynamical systems with time scale separation: averaging, stochastic modelling, and central limit ther the slow variables alone: While . yields effective models for prediction, issues like variability might profit from . Rigorous results are available only in the limit of an infinite ratio between the two time scales. In a numerical case study, we show that reduced models obtained by Averaging may
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Energy balance models — viewed from stochastic dynamicsamics. The review of mostly deterministic 0- to 2-dimensional models focuses on the mathematical problems of equilibria, stability and bifurcations. Stochastic extensions can profit from the availability of well developed mathematical theories. To give an example, we review an approach of stochastic
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