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Mathematics Of Climate Modeling


Mathematics Of Climate Modeling
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Mathematics And Climate


Mathematics And Climate
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Author : Hans Kaper
language : en
Publisher: SIAM
Release Date : 2013-10-18

Mathematics And Climate written by Hans Kaper and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-18 with Science categories.


Mathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth?s energy balance, temperature distribution, ocean circulation patterns such as El Ni?o?Southern Oscillation, ice caps and glaciation periods, the carbon cycle, and the biological pump. Among the mathematical and statistical techniques presented in the text are dynamical systems and bifurcation theory, Fourier analysis, conservation laws, regression analysis, and extreme value theory. The following features make Mathematics and Climate a valuable teaching resource: issues of current interest in climate science and sustainability are used to introduce the student to the methods of mathematics and statistics; the mathematical sophistication increases as the book progresses and topics can thus be selected according to interest and level of knowledge; each chapter ends with a set of exercises that reinforce or enhance the material presented in the chapter and stimulate critical thinking and communication skills; and the book contains an extensive list of references to the literature, a glossary of terms for the nontechnical reader, and a detailed index.



Mathematics Of Climate Modeling


Mathematics Of Climate Modeling
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Author : Valentin P. Dymnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematics Of Climate Modeling written by Valentin P. Dymnikov 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 2012-12-06 with Mathematics categories.


The present monograph is dedicated to a new branch of the theory of climate, which is titled by the authors, "Mathematical Theory of Climate. " The foundation of this branch is the investigation of climate models by the methods of the qUalitative theory of differential equa tions. In the Russian edition the book was named "Fundamentals of the Mathematical Theory of Climate. " Respecting the recommenda tions of Wayne Yuhasz (we are truly grateful to him for this advice), we named the English edition of the book "Mathematics of Climate Modelling. " This title appears to be more appropriate, since the con structive results of the theory are at present preliminary and have not been fully tested with experiments in climate modelling. This branch of science is yet developing and its practical results will be obtained only in the near future. Nevertheless, we want to keep the terminology which we have used in the introduction to the Russian edition of the book, since the authors hope that this term will be accepted by the scientific community for identification of a given branch of climate theory. On preparing the English edition, new ideas were established con necting some significant new research results obtained by the author. We are deeply grateful to G. Marchuk for continual encourage ment of this scientific enterprise and fruitful discussions, to our young colleagues A. Gorelov, E. Kazantsev, A. Gritsun, and A.



Introduction To Climate Modelling


Introduction To Climate Modelling
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Author : Thomas Stocker
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-25

Introduction To Climate Modelling written by Thomas Stocker 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 2011-05-25 with Science categories.


A three-tier approach is presented: (i) fundamental dynamical concepts of climate processes, (ii) their mathematical formulation based on balance equations, and (iii) the necessary numerical techniques to solve these equations. This book showcases the global energy balance of the climate system and feedback processes that determine the climate sensitivity, initial-boundary value problems, energy transport in the climate system, large-scale ocean circulation and abrupt climate change.



Climate Mathematics


Climate Mathematics
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Author : Samuel S. P. Shen
language : en
Publisher: Cambridge University Press
Release Date : 2019-09-19

Climate Mathematics written by Samuel S. P. Shen 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 2019-09-19 with Computers categories.


Presents the core mathematics, statistics, and programming skills needed for modern climate science courses, with online teaching materials.



Stochastic Climate Models


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.



Mathematics Of Climate Modeling


Mathematics Of Climate Modeling
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Author : V. P. Dymnikov
language : en
Publisher:
Release Date : 1997

Mathematics Of Climate Modeling written by V. P. Dymnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Climatologie - Mathématiques categories.


The present monograph is dedicated to a new branch of the theory of climate, which is titled by the authors, Mathematical Theory of Climate. The foundation of this branch is the investigation of climate models by the methods of the qUalitative theory of differential equa- tions. In the Russian edition the book was named Fundamentals of the Mathematical Theory of Climate. Respecting the recommenda- tions of Wayne Yuhasz (we are truly grateful to him for this advice), we named the English edition of the book Mathematics of Climate Modelling. This title appears to be more appropriate, since the con- structive results of the theory are at present preliminary and have not been fully tested with experiments in climate modelling. This branch of science is yet developing and its practical results will be obtained only in the near future. Nevertheless, we want to keep the terminology which we have used in the introduction to the Russian edition of the book, since the authors hope that this term will be accepted by the scientific community for identification of a given branch of climate theory.On preparing the English edition, new ideas were established con- necting some significant new research results obtained by the author. We are deeply grateful to G. Marchuk for continual encourage- ment of this scientific enterprise and fruitful discussions, to our young colleagues A. Gorelov, E. Kazantsev, A. Gritsun, and A.



Mathematics Of Energy And Climate Change


Mathematics Of Energy And Climate Change
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Author : Jean-Pierre Bourguignon
language : en
Publisher: Springer
Release Date : 2015-07-29

Mathematics Of Energy And Climate Change written by Jean-Pierre Bourguignon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-29 with Mathematics categories.


The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing planetary problems and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has increased to the point where it influences the global climate, impacts the ability of the planet to feed itself and threatens the stability of these systems. Issues such as climate change, sustainability, man-made disasters, control of diseases and epidemics, management of resources, risk analysis and global integration have come to the fore. Written by specialists in several fields of mathematics and applied sciences, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Mathematics of Energy and Climate Change held in Lisbon, Portugal, in March 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book presents the state of the art in advanced research and ultimate techniques in modeling natural, economical and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences.



Frontiers Of Climate Modeling


Frontiers Of Climate Modeling
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Author : J. T. Kiehl
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-30

Frontiers Of Climate Modeling written by J. T. Kiehl 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 2011-06-30 with Science categories.


The physics and dynamics of the atmosphere and atmosphere-ocean interactions provide the foundation of modern climate models, upon which our understanding of the chemistry and biology of ocean and land surface processes are built. Originally published in 2006, Frontiers of Climate Modeling captures developments in modeling the atmosphere, and their implications for our understanding of climate change, whether due to natural or anthropogenic causes. Emphasis is on elucidating how greenhouse gases and aerosols are altering the radiative forcing of the climate system and the sensitivity of the system to such perturbations. An expert team of authors address key aspects of the atmospheric greenhouse effect, clouds, aerosols, atmospheric radiative transfer, deep convection dynamics, large scale ocean dynamics, stratosphere-troposphere interactions, and coupled ocean-atmosphere model development. The book is an important reference for researchers and advanced students interested in the forces driving the climate system and how they are modeled by climate scientists.



Mathematical Modeling Of Earth S Dynamical Systems


Mathematical Modeling Of Earth S Dynamical Systems
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Author : Rudy Slingerland
language : en
Publisher: Princeton University Press
Release Date : 2011-03-28

Mathematical Modeling Of Earth S Dynamical Systems written by Rudy Slingerland and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-28 with Science categories.


A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html