An applied mathematics perspective on stochastic modelling for climate

Andrew J. Majda, Christian Franzke, Boualem Khouider

Research output: Contribution to journalArticle

Abstract

Systematic strategies from applied mathematics for stochastic modelling in climate are reviewed here. One of the topics discussed is the stochastic modelling of mid-latitude low-frequency variability through a few teleconnection patterns, including the central role and physical mechanisms responsible for multiplicative noise. A new low-dimensional stochastic model is developed here, which mimics key features of atmospheric general circulation models, to test the fidelity of stochastic mode reduction procedures. The second topic discussed here is the systematic design of stochastic lattice models to capture irregular and highly intermittent features that are not resolved by a deterministic parametrization. A recent applied mathematics design principle for stochastic column modelling with intermittency is illustrated in an idealized setting for deep tropical convection; the practical effect of this stochastic model in both slowing down convectively coupled waves and increasing their fluctuations is presented here.

Original languageEnglish (US)
Pages (from-to)2429-2455
Number of pages27
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume366
Issue number1875
DOIs
StatePublished - Jul 28 2008

Fingerprint

Stochastic Modeling
Stochastic models
mathematics
Applied mathematics
Climate
climate
Stochastic Model
Atmospheric General Circulation Models
Multiplicative Noise
Intermittency
intermittency
Lattice Model
Parametrization
Fidelity
Convection
Low Frequency
Irregular
convection
Fluctuations
low frequencies

Keywords

  • Intermittency
  • Low-frequency variability
  • Multiplicative noise
  • Tropical convection

ASJC Scopus subject areas

  • General

Cite this

An applied mathematics perspective on stochastic modelling for climate. / Majda, Andrew J.; Franzke, Christian; Khouider, Boualem.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, No. 1875, 28.07.2008, p. 2429-2455.

Research output: Contribution to journalArticle

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