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Climate Mathematics

Climate Mathematics PDF Author: Samuel S. P. Shen
Publisher: Cambridge University Press
ISBN: 1108476872
Category : Computers
Languages : en
Pages : 417

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

Climate Mathematics

Climate Mathematics PDF Author: Samuel S. P. Shen
Publisher: Cambridge University Press
ISBN: 1108476872
Category : Computers
Languages : en
Pages : 417

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

Mathematical and Physical Fundamentals of Climate Change

Mathematical and Physical Fundamentals of Climate Change PDF Author: Zhihua Zhang
Publisher: Elsevier
ISBN: 0128005831
Category : Science
Languages : en
Pages : 494

Book Description
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

Models for Tropical Climate Dynamics

Models for Tropical Climate Dynamics PDF Author: Boualem Khouider
Publisher: Springer
ISBN: 3030177750
Category : Mathematics
Languages : en
Pages : 308

Book Description
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.

The Mathematics of Models for Climatology and Environment

The Mathematics of Models for Climatology and Environment PDF Author: Jesus I. Diaz
Publisher: Springer Science & Business Media
ISBN: 3642606032
Category : Science
Languages : en
Pages : 486

Book Description
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.

Introduction to Climate Modelling

Introduction to Climate Modelling PDF Author: Thomas Stocker
Publisher: Springer Science & Business Media
ISBN: 3642007732
Category : Science
Languages : en
Pages : 193

Book Description
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.

Mathematics and Climate

Mathematics and Climate PDF Author: Hans Kaper
Publisher: SIAM
ISBN: 1611972612
Category : Science
Languages : en
Pages : 303

Book Description
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.

Climate Change and Climate Modeling

Climate Change and Climate Modeling PDF Author: J. David Neelin
Publisher: Cambridge University Press
ISBN: 1139491377
Category : Science
Languages : en
Pages : 299

Book Description
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.

Climate Change and Terrestrial Ecosystem Modeling

Climate Change and Terrestrial Ecosystem Modeling PDF Author: Gordon Bonan
Publisher: Cambridge University Press
ISBN: 1107043786
Category : Mathematics
Languages : en
Pages : 459

Book Description
Provides an essential introduction to modeling terrestrial ecosystems in Earth system models for graduate students and researchers.

Dynamic Climatology

Dynamic Climatology PDF Author: John Rayner
Publisher: Wiley-Blackwell
ISBN: 9781577180159
Category : Science
Languages : en
Pages : 304

Book Description
This book is an introduction to the concepts behind the popular understanding of climate and global warming. The author provides readers with a survey and reference to the subject to be used before, during and after they delve into the details of statistics, dynamics and thermodynamics. Dynamic Climatology reviews the basic concepts in the study of dynamic climatology, their expression in the form of equations and the physics of models used to reproduce the weather phenomena of a specific location. It takes a historical approach concentrating on the development of ideas during the last four hundred years. Unlike most books in this field, which are devoted to a single aspect of dynamic climatology, the intent of this volume is to present a coherent narrative of the different components of climate thus providing a solid basis of understanding.

Frontiers of Climate Modeling

Frontiers of Climate Modeling PDF Author: J. T. Kiehl
Publisher: Cambridge University Press
ISBN: 9781139453233
Category : Science
Languages : en
Pages : 410

Book Description
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.