Mathematics Of Climate Modeling

Author : Valentin P. Dymnikov
Publisher : Springer Science & Business Media
ISBN 13 : 1461241480
Total Pages : 275 pages
Book Rating : 4.85/5 ( download)

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Download or read book Mathematics of Climate Modeling written by Valentin P. Dymnikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Hans Kaper
Publisher : SIAM
ISBN 13 : 1611972612
Total Pages : 303 pages
Book Rating : 4.10/5 ( download)

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Download or read book Mathematics and Climate written by Hans Kaper and published by SIAM. This book was released on 2013-10-18 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Zhihua Zhang
Publisher : Elsevier
ISBN 13 : 0128005831
Total Pages : 494 pages
Book Rating : 4.35/5 ( download)

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Download or read book Mathematical and Physical Fundamentals of Climate Change written by Zhihua Zhang and published by Elsevier. This book was released on 2014-12-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and Physical Fundamentals of Climate Change is the first book to provide an overview of the math and physics necessary for scientists to understand and apply atmospheric and oceanic models to climate research. The book begins with basic mathematics then leads on to specific applications in atmospheric and ocean dynamics, such as fluid dynamics, atmospheric dynamics, oceanic dynamics, and glaciers and sea level rise. Mathematical and Physical Fundamentals of Climate Change provides a solid foundation in math and physics with which to understand global warming, natural climate variations, and climate models. This book informs the future users of climate models and the decision-makers of tomorrow by providing the depth they need. Developed from a course that the authors teach at Beijing Normal University, the material has been extensively class-tested and contains online resources, such as presentation files, lecture notes, solutions to problems and MATLab codes. Includes MatLab and Fortran programs that allow readers to create their own models Provides case studies to show how the math is applied to climate research Online resources include presentation files, lecture notes, and solutions to problems in book for use in classroom or self-study

Author : Thomas Stocker
Publisher : Springer Science & Business Media
ISBN 13 : 3642007732
Total Pages : 182 pages
Book Rating : 4.36/5 ( download)

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Download or read book Introduction to Climate Modelling written by Thomas Stocker and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : V. P. Dymnikov
Publisher :
ISBN 13 : 9783764339159
Total Pages : 264 pages
Book Rating : 4.52/5 ( download)

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Download or read book Mathematics of Climate Modeling written by V. P. Dymnikov and published by . This book was released on 1997 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : John B. Drake
Publisher : SIAM
ISBN 13 : 1611973546
Total Pages : 165 pages
Book Rating : 4.49/5 ( download)

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Download or read book Climate Modeling for Scientists and Engineers written by John B. Drake and published by SIAM. This book was released on 2014-01-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Climate modeling and simulation teach us about past, present, and future conditions of life on earth and help us understand observations about the changing atmosphere and ocean and terrestrial ecology. Focusing on high-end modeling and simulation of earth's climate, Climate Modeling for Scientists and Engineers presents observations about the general circulations of the earth and the partial differential equations used to model the dynamics of weather and climate, covers numerical methods for geophysical flows in more detail than many other texts, discusses parallel algorithms and the role of high-performance computing used in the simulation of weather and climate, and provides supplemental lectures and MATLAB® exercises on an associated Web page.

Author : Peter Imkeller
Publisher : Birkhäuser
ISBN 13 : 3034882874
Total Pages : 413 pages
Book Rating : 4.73/5 ( download)

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Download or read book Stochastic Climate Models written by Peter Imkeller and published by Birkhäuser. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Samuel S. P. Shen
Publisher : Cambridge University Press
ISBN 13 : 1108476872
Total Pages : 417 pages
Book Rating : 4.74/5 ( download)

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Download or read book Climate Mathematics written by Samuel S. P. Shen and published by Cambridge University Press. This book was released on 2019-09-19 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the core mathematics, statistics, and programming skills needed for modern climate science courses, with online teaching materials.

Author : Boualem Khouider
Publisher : Springer
ISBN 13 : 3030177750
Total Pages : 303 pages
Book Rating : 4.51/5 ( download)

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Download or read book Models for Tropical Climate Dynamics written by Boualem Khouider and published by Springer. This book was released on 2019-07-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of the research work done by the author over the last 15 years, in collaboration with various eminent mathematicians and climate scientists on the subject of tropical convection and convectively coupled waves. In the areas of climate modelling and climate change science, tropical dynamics and tropical rainfall are among the biggest uncertainties of future projections. This not only puts at risk billions of human beings who populate the tropical continents but it is also of central importance for climate predictions on the global scale. This book aims to introduce the non-expert readers in mathematics and theoretical physics to this fascinating topic in order to attract interest into this difficult and exciting research area. The general thyme revolves around the use of new deterministic and stochastic multi-cloud models for tropical convection and convectively coupled waves. It draws modelling ideas from various areas of mathematics and physics and used in conjunction with state-of-the-art satellite and in-situ observations and detailed numerical simulations. After a review of preliminary material on tropical dynamics and moist thermodynamics, including recent discoveries based on satellite observations as well as Markov chains, the book immerses the reader into the area of models for convection and tropical waves. It begins with basic concepts of linear stability analysis and ends with the use of these models to improve the state-of-the-art global climate models. The book also contains a fair amount of exercises that makes it suitable as a textbook complement on the subject.

Author : R. Saravanan
Publisher : Cambridge University Press
ISBN 13 : 1009040057
Total Pages : 400 pages
Book Rating : 4.51/5 ( download)

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Download or read book The Climate Demon written by R. Saravanan and published by Cambridge University Press. This book was released on 2021-10-21 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Climate predictions - and the computer models behind them - play a key role in shaping public opinion and our response to the climate crisis. Some people interpret these predictions as 'prophecies of doom' and some others dismiss them as mere speculation, but the vast majority are only vaguely aware of the science behind them. This book gives a balanced view of the strengths and limitations of climate modeling. It covers historical developments, current challenges, and future trends in the field. The accessible discussion of climate modeling only requires a basic knowledge of science. Uncertainties in climate predictions and their implications for assessing climate risk are analyzed, as are the computational challenges faced by future models. The book concludes by highlighting the dangers of climate 'doomism', while also making clear the value of predictive models, and the severe and very real risks posed by anthropogenic climate change.