04516nam 22006495 450 991034931960332120250609111754.03-030-22247-010.1007/978-3-030-22247-5(CKB)4100000009374654(DE-He213)978-3-030-22247-5(MiAaPQ)EBC5904627(PPN)242823483(MiAaPQ)EBC5918166(EXLCZ)99410000000937465420190924d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierTropical Intraseasonal Variability and the Stochastic Skeleton Method /by Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (IX, 123 p. 46 illus., 33 illus. in color.)SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,2509-73263-030-22246-2 Includes bibliographical references and index.Introduction -- The deterministic skeleton model and observed features of the MJO -- A Stochastic Skeleton Model for the MJO -- Tropical–extratropical Interactions and the MJO Skeleton Model -- New indices for observations of tropical variability based on the skeleton model and a model for the Walker circulation -- Refined Vertical Structure in the Stochastic Skeleton Model for the MJO -- Current and Future Research Perspectives.In this text, modern applied mathematics and physical insight are used to construct the simplest and first nonlinear dynamical model for the Madden-Julian oscillation (MJO), i.e. the stochastic skeleton model. This model captures the fundamental features of the MJO and offers a theoretical prediction of its structure, leading to new detailed methods to identify it in observational data. The text contributes to understanding and predicting intraseasonal variability, which remains a challenging task in contemporary climate, atmospheric, and oceanic science. In the tropics, the Madden-Julian oscillation (MJO) is the dominant component of intraseasonal variability. One of the strengths of this text is demonstrating how a blend of modern applied mathematical tools, including linear and nonlinear partial differential equations (PDEs), simple stochastic modeling, and numerical algorithms, have been used in conjunction with physical insight to create the model. These tools are also applied in developing several extensions of the model in order to capture additional features of the MJO, including its refined vertical structure and its interactions with the extratropics. This book is of interest to graduate students, postdocs, and senior researchers in pure and applied mathematics, physics, engineering, and climate, atmospheric, and oceanic science interested in turbulent dynamical systems as well as other complex systems.SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,2509-7326MathematicsProbabilitiesClimatologyMathematics of Planet Earthhttps://scigraph.springernature.com/ontologies/product-market-codes/M36000Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Climate, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/300000Mathematics.Probabilities.Climatology.Mathematics of Planet Earth.Probability Theory and Stochastic Processes.Climate, general.519519Majda Andrew Jauthttp://id.loc.gov/vocabulary/relators/aut477021Stechmann Samuel Nauthttp://id.loc.gov/vocabulary/relators/autChen Shengqianauthttp://id.loc.gov/vocabulary/relators/autOgrosky H. Reedauthttp://id.loc.gov/vocabulary/relators/autThual Sulianauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910349319603321Tropical Intraseasonal Variability and the Stochastic Skeleton Method2499077UNINA