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Mathematics Of Climate Modeling
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Book Synopsis Mathematics of Climate Modeling by : Valentin P. Dymnikov
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.
Book Synopsis Mathematics and Climate by : Hans Kaper
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.
Book Synopsis Mathematical and Physical Fundamentals of Climate Change by : Zhihua Zhang
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
Book Synopsis Introduction to Climate Modelling by : Thomas Stocker
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.
Book Synopsis Mathematics of Climate Modeling by : V. P. Dymnikov
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.
Book Synopsis Climate Modeling for Scientists and Engineers by : John B. Drake
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.
Book Synopsis Climate Mathematics by : Samuel S. P. Shen
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.
Book Synopsis Stochastic Climate Models by : Peter Imkeller
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.
Book Synopsis Models for Tropical Climate Dynamics by : Boualem Khouider
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.
Book Synopsis Mathematical Paradigms of Climate Science by : Fabio Ancona
Download or read book Mathematical Paradigms of Climate Science written by Fabio Ancona and published by Springer. This book was released on 2016-11-07 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.
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.
Book Synopsis Climate Change and Climate Modeling by : J. David Neelin
Download or read book Climate Change and Climate Modeling written by J. David Neelin and published by Cambridge University Press. This book was released on 2010-12-16 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides students with a solid foundation in climate science, with which to understand global warming, natural climate variations, and climate models. As climate models are one of our primary tools for predicting and adapting to climate change, it is vital we appreciate their strengths and limitations. Also key is understanding what aspects of climate science are well understood and where quantitative uncertainties arise. This textbook will inform the future users of climate models and the decision-makers of tomorrow by providing the depth they need, while requiring no background in atmospheric science and only basic calculus and physics. Developed from a course that the author teaches at UCLA, material has been extensively class-tested and with online resources of colour figures, Powerpoint slides, and problem sets, this is a complete package for students across all sciences wishing to gain a solid grounding in climate science.
Book Synopsis Mathematical Approach to Climate Change and its Impacts by : Piermarco Cannarsa
Download or read book Mathematical Approach to Climate Change and its Impacts written by Piermarco Cannarsa and published by Springer Nature. This book was released on 2020-03-16 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents important recent applied mathematics research on environmental problems and impacts due to climate change. Although there are inherent difficulties in addressing phenomena that are part of such a complex system, exploration of the subject using mathematical modelling is especially suited to tackling poorly understood issues in the field. It is in this spirit that the book was conceived. It is an outcome of the International INDAM Workshop “Mathematical Approach to Climate Change Impacts – MAC2I”, held in Rome in March 2017. The workshop comprised four sessions, on Ecosystems, Hydrology, Glaciology, and Monitoring. The book includes peer-reviewed contributions on research issues discussed during each of these sessions or generated by collaborations among the specialists involved. Accurate parameter determination techniques are explained and innovative mathematical modelling approaches, presented. The book also provides useful material and mathematical problem-solving tools for doctoral programs dealing with the complexities of climate change.
Book Synopsis Frontiers of Climate Modeling by : J. T. Kiehl
Download or read book Frontiers of Climate Modeling written by J. T. Kiehl and published by Cambridge University Press. This book was released on 2011-06-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Concepts of Mathematical Modeling by : Walter J. Meyer
Download or read book Concepts of Mathematical Modeling written by Walter J. Meyer and published by Courier Corporation. This book was released on 2012-10-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
Book Synopsis Mathematics for Dynamic Modeling by : Edward Beltrami
Download or read book Mathematics for Dynamic Modeling written by Edward Beltrami and published by Academic Press. This book was released on 2014-05-10 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.
Book Synopsis The Mathematics of Models for Climatology and Environment by : Jesus I. Diaz
Download or read book The Mathematics of Models for Climatology and Environment written by Jesus I. Diaz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the culmination of the NATO Advanced Study Institute on The Mathematics of Models for Climatology and Environment which was held at Puerto de la Cruz ,Tenerife, Spain during 11-21 January 1995. One of the main goals of the ASI was to establish a bridge between mathematical modellers on the one hand and physical oceanographers and climatologists on the other. The book is divided into fourth parts containing a total of 16 chapters: Parts I, II and III are devoted to general models and Part IV to models related to some local problems. Most of the mathematical models here considered involve systems of nonlinear partial differential equations. The mathemat ical treatment cover a large list of subjects: existence and uniqueness for well-possed problems, large time behaviour, stability, bifurcation,diagrams of equilibria, conditions for the occurrence of interfaces or free boundaries, numerical algorithms and its implementation, controllability of the problems, etc. I thank Jacques- Louis Lions and Cornelius Johannes van Duijn for their guidance and collaboration as co-directors of the AS!. I also thank J.F.Padial and G. Diaz for their help in the planning and conduct of the ASI as well as in the preparation of this book.
