Stochastic Climate Models by Peter Imkeller (English) Paperback Book

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Stochastic Climate Models by Peter Imkeller, Jin-Song von Storch

The proceedings of the summer 1999 Chorin workshop on stochastic climate models captures well the spirit of enthusiasm of the workshop participants engaged in research in this exciting field.

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher Description

The proceedings of the summer 1999 Chorin workshop on stochastic climate models captures well the spirit of enthusiasm of the workshop participants engaged in research in this exciting field. It is amazing that nearly 25 years after the formal theory of natural climate variability generated by quasi-white-noise weather forcing was developed, and almost 35 years after J . M. Mitchell first suggested this mechanism as the origin of sea-surf ace-temperature fluctuations and climate variability, there have arisen so many fresh perspectives and new applications of the theory. The workshop has succeeded admirably in high­ lighting these new aspects while clarifying the position of stochastic climate modelling within the general framework of climate research and mathematical modelling. The organizers can be congratulated in bringing together leading researchers covering a wide range of scientific expertise, from mathematicians concerned with the derivation of stochastic models from first principles, to app­ lied climate modellers trying to understand the dynamics of the complex climate system. Following the first burst of stochastic modelling papers in the decade from the mid-seventies to the mid-eighties, in which the viability of the concept was demonstrated using relatively simple conceptual models, there was a lull of work in this field. One awaited the development of more sophisticated climate models with which one could carry out realistic quantitative analyses of the implications of stochastic forcing for the global climate system. Now that these models have become widely available, it is natural that one is witnessing a resurgence of stochastic modelling investigations.

Table of Contents

1 The Hierarchy of Climate Models.- A gallery of simple models from climate physics.- Simple climate models.- Complex climate models' tools for studying the origin of stochasticity in the climate system.- Some mathematical aspects of the GCMs.- 2 The Emergence of Randomness: Chaos, Averaging, Limit Theorems.- Hasselmann's program revisited: the analysis of stochasticity in deterministic climate models.- Thermodynamic formalism, large deviation, and multifractals.- Averaging and climate models.- Dynamical systems with time scale separation: averaging, stochastic modelling, and central limit theorems.- 3 Tools and Methods: SDE, Dynamical Systems, SPDE, Multiscale Techniques.- Energy balance models — viewed from stochastic dynamics.- Exponential stability of the quasigeostrophic equation under random perturbations.- A mini course on stochastic partial differential equations.- Hasselmann's stochastic climate model viewed from a statistical mechanics perspective.- 4 Reduced Stochastic Models and Particular Techniques.- Constrained stochastic forcing.- Stochastic resonance and noise-induced phase coherence.- Stochastic confinement of Rossby waves by fluctuating eastward flows.- Some mathematical remarks concerning the localization of planetary waves in a stochastic background flow.- Rossby waves in a stochastically fluctuating medium.- Passive tracer transport in stochastic flows.

Review

"The proceedings of the workshop on Stochastic ClimateModels, held in Chorin in 1999, present an exiting and stimulating summary of probabilistic developments in climate physics. Stochastic processes, stochastic and partial differential equations, random dynamical systems, local and large deviations asymptotic procedures, have comprised the most actice mathematical areas in teh field over the past 30 years, since Klaus Haselmann suggested a climate stochastic model where weather fluctuations randomly force the climate in the same way that fluid modecules forse Brownian pollen particles. . . The structure of the book reflects its aim to review and explain recent matheamtical additions to the list of tools for climate modelling, to help the climate physicists to understand what these tools are about. . . The book is strongly recommended as an excellent source or information and inspiration, both to mathematicians and physicists interested in the field."---EMS NEWSLETTER

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Long Description

The proceedings of the summer 1999 Chorin workshop on stochastic climate models captures well the spirit of enthusiasm of the workshop participants engaged in research in this exciting field. It is amazing that nearly 25 years after the formal theory of natural climate variability generated by quasi-white-noise weather forcing was developed, and almost 35 years after J . M. Mitchell first suggested this mechanism as the origin of sea-surf ace-temperature fluctuations and climate variability, there have arisen so many fresh perspectives and new applications of the theory. The workshop has succeeded admirably in high

Review Quote

"The proceedings of the workshop on Stochastic ClimateModels, held in Chorin in 1999, present an exiting and stimulating summary of probabilistic developments in climate physics. Stochastic processes, stochastic and partial differential equations, random dynamical systems, local and large deviations asymptotic procedures, have comprised the most actice mathematical areas in teh field over the past 30 years, since Klaus Haselmann suggested a climate stochastic model where weather fluctuations randomly force the climate in the same way that fluid modecules forse Brownian pollen particles. . . The structure of the book reflects its aim to review and explain recent matheamtical additions to the list of tools for climate modelling, to help the climate physicists to understand what these tools are about. . . The book is strongly recommended as an excellent source or information and inspiration, both to mathematicians and physicists interested in the field." ---EMS NEWSLETTER

Details ISBN3034895046 Pages 398 Series Progress in Probability Language English ISBN-10 3034895046 ISBN-13 9783034895040 Media Book Format Paperback Series Number 49 Short Title STOCHASTIC CLIMATE MODELS SOFT Year 2012 Publication Date 2012-10-23 Country of Publication Switzerland Edited by Jin-Song von Storch Birth 1961 Illustrations XXVII, 398 p. DOI 10.1007/978-3-0348-8287-3 UK Release Date 2012-10-23 Place of Publication Basel Author Jin-Song von Storch Edition Description Softcover reprint of the original 1st ed. 2001 Alternative 9783764365202 DEWEY 551.6 Audience Professional & Vocational Country of Origin NL Product Class Description Meteorology Publisher Springer Basel Imprint Springer Basel
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