Nonlinear And Stochastic Climate Dynamics
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Nonlinear And Stochastic Climate Dynamics
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Author : Christian L. E. Franzke
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-19
Nonlinear And Stochastic Climate Dynamics written by Christian L. E. Franzke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-19 with Science categories.
It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.
Nonlinear And Stochastic Climate Dynamics
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Author : Christian L. E. Franzke
language : en
Publisher:
Release Date : 2016
Nonlinear And Stochastic Climate Dynamics written by Christian L. E. Franzke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
This edited volume discusses the recent developments and current research questions in nonlinear and stochastic climate dynamics.
Nonlinear Climate Dynamics
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Author : Henk A. Dijkstra
language : en
Publisher: Cambridge University Press
Release Date : 2013-06-17
Nonlinear Climate Dynamics written by Henk A. Dijkstra and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-17 with Science categories.
This book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena. Its stochastic extension also forms the basis of modern (nonlinear) data analysis techniques, predictability studies and data assimilation methods. Early chapters apply the stochastic dynamical systems framework to a hierarchy of climate models to synthesize current knowledge of climate variability. Later chapters analyse phenomena such as the North Atlantic Oscillation, El Niño/Southern Oscillation, Atlantic Multidecadal Variability, Dansgaard–Oeschger events, Pleistocene ice ages and climate predictability. This book will prove invaluable for graduate students and researchers in climate dynamics, physical oceanography, meteorology and paleoclimatology.
Climate Dynamics
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Author : De-Zheng Sun
language : en
Publisher: John Wiley & Sons
Release Date : 2013-05-02
Climate Dynamics written by De-Zheng Sun and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Science categories.
Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 189. Climate Dynamics: Why Does Climate Vary? presents the major climate phenomena within the climate system to underscore the potency of dynamics in giving rise to climate change and variability. These phenomena include deep convection over the Indo-Pacific warm pool and its planetary-scale organization: the Madden-Julian Oscillation, the monsoons, the El Niño-Southern Oscillation, the Pacific Decadal Oscillation, and the low-frequency variability of extratropical circulations. The volume also has a chapter focusing on the discussion of the causes of the recent melting of Arctic sea ice and a chapter devoted to the discussion of the causes of recent changes in the frequency and intensity of tropical cyclones. On each topic, the basic material of climate dynamics is covered to aid the understanding of the forefront research, making the volume accessible to a broad spectrum of readers. The volume highlights include Diabatic and nonlinear aspects of the El Niño-Southern Oscillation Causes of sea ice melting in the Arctic Impact of global warming on tropical cyclone activity Origins of the Pacific Decadal Oscillation Causes of climate variability of Asian monsoons The volume will be of particular interest to graduate students and young researchers in atmospheric and oceanic sciences and related disciplines such as geology and geography. The book will also be a good read for those who have a more general interest in the Earth's climate and why it varies.
Nonlinear Dynamics
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Author : George Datseris
language : en
Publisher:
Release Date : 2022
Nonlinear Dynamics written by George Datseris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.
Data Driven Computational Methods
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Author : John Harlim
language : en
Publisher: Cambridge University Press
Release Date : 2018-07-12
Data Driven Computational Methods written by John Harlim and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-12 with Computers categories.
Describes computational methods for parametric and nonparametric modeling of stochastic dynamics. Aimed at graduate students, and suitable for self-study.
Stochastic Climate Models
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Author : Peter Imkeller
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Stochastic Climate Models written by Peter Imkeller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
A collection of articles written by mathematicians and physicists, designed to describe the state of the art in climate models with stochastic input. Mathematicians will benefit from a survey of simple models, while physicists will encounter mathematically relevant techniques at work.
Fundamental Aspects Of Turbulent Flows In Climate Dynamics
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Author : Freddy Bouchet
language : en
Publisher:
Release Date : 2020
Fundamental Aspects Of Turbulent Flows In Climate Dynamics written by Freddy Bouchet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Business & Economics categories.
"This book collects the text of the lectures given at the Les Houches Summer School on "Fundamental aspects of turbulent flows in climate dynamics", held in August 2017. Leading scientists in the fields of climate dynamics, atmosphere and ocean dynamics, geophysical fluid dynamics, physics and non-linear sciences present their views on this fast growing and interdisciplinary field of research, by venturing upon fundamental problems of atmospheric convection, clouds, large scale circulation, and predictability. Climate is controlled by turbulent flows. Turbulent motions are responsible for the bulk of the transport of energy, momentum, and water vapor in the atmosphere, which determine the distribution of temperature, winds, and precipitation on Earth. Clouds, weather systems, and boundary layers in the oceans and atmosphere are manifestations of turbulence in the climate system. Because turbulence remains as the great unsolved problem of classical physics, we do not have a complete physical theory of climate. The aim of this summer school was to survey what is known about how turbulent flows control climate, what role they may play in climate change, and to outline where progress in this important area can be expected, given today's computational and observational capabilities. This book reviews the state-of-the-art developments in this field and provides an essential background to future studies. All chapters are written from a pedagogical perspective, making the book accessible to masters and PhD students and all researchers wishing to enter this field. It is complemented by online video of several lectures and seminars recorded during the summer school"
Energy Transfers In Atmosphere And Ocean
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Author : Carsten Eden
language : en
Publisher: Springer
Release Date : 2019-01-23
Energy Transfers In Atmosphere And Ocean written by Carsten Eden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-23 with Mathematics categories.
This book describes a recent effort combining interdisciplinary expertise within the Collaborative Research Centre “Energy transfers in atmosphere and ocean” (TRR-181), which was funded by the German Research Foundation (DFG). Energy transfers between the three dynamical regimes – small-scale turbulence, internal gravity waves and geostrophically balanced motion – are fundamental to the energy cycle of both the atmosphere and the ocean. Nonetheless, they remain poorly understood and quantified, and have yet to be adequately represented in today’s climate models. Since interactions between the dynamical regimes ultimately link the smallest scales to the largest ones through a range of complex processes, understanding these interactions is essential to constructing atmosphere and ocean models and to predicting the future climate. To this end, TRR 181 combines expertise in applied mathematics, meteorology, and physical oceanography. This book provides an overview of representative specific topics addressed by TRR 181, ranging from - a review of a coherent hierarchy of models using consistent scaling and approximations, and revealing the underlying Hamiltonian structure - a systematic derivation and implementation of stochastic and backscatter parameterisations - an exploration of the dissipation of large-scale mean or eddying balanced flow and ocean eddy parameterisations; and - a study on gravity wave breaking and mixing, the interaction of waves with the mean flow and stratification, wave-wave interactions and gravity wave parameterisations to topics of a more numerical nature such as the spurious mixing and dissipation of advection schemes, and direct numerical simulations of surface waves at the air-sea interface. In TRR 181, the process-oriented topics presented here are complemented by an operationally oriented synthesis focusing on two climate models currently being developed in Germany. In this way, the goal of TRR 181 is to help reduce the biases in and increase the accuracy of atmosphere and ocean models, and ultimately to improve climate models and climate predictions.
Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.