Mathematical Paradigms Of Climate Science

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Mathematical Paradigms of Climate Science

Fabio Ancona,Piermarco Cannarsa,Christopher Jones,Alessandro Portaluri
Mathematical Paradigms of Climate Science Book PDF

Author : Fabio Ancona,Piermarco Cannarsa,Christopher Jones,Alessandro Portaluri
Publisher : Springer
Page : 228 pages
File Size : 40,8 Mb
Release : 2016-11-07
Category : Mathematics
ISBN : 9783319390925

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Mathematical Paradigms of Climate Science by Fabio Ancona,Piermarco Cannarsa,Christopher Jones,Alessandro Portaluri Pdf

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.

Climate Mathematics

Samuel S. P. Shen,Richard C. J. Somerville
Climate Mathematics Book PDF

Author : Samuel S. P. Shen,Richard C. J. Somerville
Publisher : Cambridge University Press
Page : 417 pages
File Size : 53,7 Mb
Release : 2019-09-19
Category : Science
ISBN : 9781108476874

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Climate Mathematics by Samuel S. P. Shen,Richard C. J. Somerville Pdf

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

Mathematics and Climate

Hans Kaper,Hans Engler
Mathematics and Climate Book PDF

Author : Hans Kaper,Hans Engler
Publisher : SIAM
Page : 303 pages
File Size : 48,5 Mb
Release : 2013-10-18
Category : Science
ISBN : 9781611972610

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Mathematics and Climate by Hans Kaper,Hans Engler Pdf

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

В. П Дымников,Aleksander N. Filatov
Mathematics of Climate Modeling Book PDF

Author : В. П Дымников,Aleksander N. Filatov
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 50,6 Mb
Release : 1997-05
Category : Mathematics
ISBN : 0817639152

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Mathematics of Climate Modeling by В. П Дымников,Aleksander N. Filatov Pdf

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 equaƯ tions. In the Russian edition the book was named "Fundamentals of the Mathematical Theory of Climate." Respecting the recommendaƯ 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 conƯ 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 conƯ necting some significant new research results obtained by the author. We are deeply grateful to G. Marchuk for continual encourageƯ ment of this scientific enterprise and fruitful discussions, to our young colleagues A. Gorelov, E. Kazantsev, A. Gritsun, and A.

Mathematical Approach to Climate Change and its Impacts

Piermarco Cannarsa,Daniela Mansutti,Antonello Provenzale
Mathematical Approach to Climate Change and its Impacts Book PDF

Author : Piermarco Cannarsa,Daniela Mansutti,Antonello Provenzale
Publisher : Springer Nature
Page : 243 pages
File Size : 44,6 Mb
Release : 2020-03-16
Category : Science
ISBN : 9783030386696

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Mathematical Approach to Climate Change and its Impacts by Piermarco Cannarsa,Daniela Mansutti,Antonello Provenzale Pdf

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.

Climate Modeling for Scientists and Engineers

John B. Drake
Climate Modeling for Scientists and Engineers Book PDF

Author : John B. Drake
Publisher : SIAM
Page : 169 pages
File Size : 47,9 Mb
Release : 2014-01-01
Category : Mathematics
ISBN : 9781611973549

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Climate Modeling for Scientists and Engineers by John B. Drake Pdf

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.

Mathematical and Physical Fundamentals of Climate Change

Zhihua Zhang,John C. Moore
Mathematical and Physical Fundamentals of Climate Change Book PDF

Author : Zhihua Zhang,John C. Moore
Publisher : Elsevier
Page : 494 pages
File Size : 49,9 Mb
Release : 2014-12-06
Category : Science
ISBN : 9780128005835

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Mathematical and Physical Fundamentals of Climate Change by Zhihua Zhang,John C. Moore Pdf

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

Mathematics of Planet Earth

Hans G. Kaper,Fred S. Roberts
Mathematics of Planet Earth Book PDF

Author : Hans G. Kaper,Fred S. Roberts
Publisher : Springer Nature
Page : 374 pages
File Size : 46,9 Mb
Release : 2019-11-01
Category : Mathematics
ISBN : 9783030220440

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Mathematics of Planet Earth by Hans G. Kaper,Fred S. Roberts Pdf

Since its inception in 2013, Mathematics of Planet Earth (MPE) focuses on mathematical issues arising in the study of our planet. Interested in the impact of human activities on the Earth’s system, this multidisciplinary field considers the planet not only as a physical system, but also as a system supporting life, a system organized by humans, and a system at risk. ​The articles collected in this volume demonstrate the breadth of techniques and tools from mathematics, statistics, and operations research used in MPE. Topics include climate modeling, the spread of infectious diseases, stability of ecosystems, ecosystem services, biodiversity, infrastructure restoration after an extreme event, urban environments, food security, and food safety. Demonstrating the mathematical sciences in action, this book presents real-world challenges for the mathematical sciences, highlighting applications to issues of current concern to society. Arranged into three topical sections (Geo- and Physical Sciences; Life Sciences, Ecology and Evolution; Socio-economics and Infrastructure), thirteen chapters address questions such as how to measure biodiversity, what mathematics can say about the sixth mass extinction, how to optimize the long-term human use of natural capital, and the impact of data on infrastructure management. The book also treats the subject of infectious diseases with new examples and presents an introduction to the mathematics of food systems and food security. Each chapter functions as an introduction that can be studied independently, offering source material for graduate student seminars and self-study. The range of featured research topics provides mathematical scientists with starting points for the study of our planet and the impact of human activities. At the same time, it offers application scientists a plethora of modern mathematical tools and techniques to address the various topics in practice. Including hundreds of references to the vast literature associated with each topic, this book serves as an inspiration for further research.

Mathematics of Energy and Climate Change

Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana
Mathematics of Energy and Climate Change Book PDF

Author : Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana
Publisher : Springer
Page : 430 pages
File Size : 51,8 Mb
Release : 2015-07-29
Category : Mathematics
ISBN : 9783319161211

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Mathematics of Energy and Climate Change by Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana Pdf

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.

Introduction to Climate Modelling

Thomas Stocker
Introduction to Climate Modelling Book PDF

Author : Thomas Stocker
Publisher : Springer Science & Business Media
Page : 193 pages
File Size : 47,5 Mb
Release : 2011-05-25
Category : Science
ISBN : 9783642007736

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Introduction to Climate Modelling by Thomas Stocker Pdf

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.

Stochastic Climate Models

Peter Imkeller,Jin-Song von Storch
Stochastic Climate Models Book PDF

Author : Peter Imkeller,Jin-Song von Storch
Publisher : Birkhäuser
Page : 413 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882873

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Stochastic Climate Models by Peter Imkeller,Jin-Song von Storch Pdf

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.

Fundamentals of Ocean Climate Models

Stephen Griffies
Fundamentals of Ocean Climate Models Book PDF

Author : Stephen Griffies
Publisher : Princeton University Press
Page : 128 pages
File Size : 48,6 Mb
Release : 2018-06-05
Category : Science
ISBN : 9780691187129

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Fundamentals of Ocean Climate Models by Stephen Griffies Pdf

This book sets forth the physical, mathematical, and numerical foundations of computer models used to understand and predict the global ocean climate system. Aimed at students and researchers of ocean and climate science who seek to understand the physical content of ocean model equations and numerical methods for their solution, it is largely general in formulation and employs modern mathematical techniques. It also highlights certain areas of cutting-edge research. Stephen Griffies presents material that spans a broad spectrum of issues critical for modern ocean climate models. Topics are organized into parts consisting of related chapters, with each part largely self-contained. Early chapters focus on the basic equations arising from classical mechanics and thermodynamics used to rationalize ocean fluid dynamics. These equations are then cast into a form appropriate for numerical models of finite grid resolution. Basic discretization methods are described for commonly used classes of ocean climate models. The book proceeds to focus on the parameterization of phenomena occurring at scales unresolved by the ocean model, which represents a large part of modern oceanographic research. The final part provides a tutorial on the tensor methods that are used throughout the book, in a general and elegant fashion, to formulate the equations.

The Mathematics of Models for Climatology and Environment

Jesus I. Diaz
The Mathematics of Models for Climatology and Environment Book PDF

Author : Jesus I. Diaz
Publisher : Springer
Page : 0 pages
File Size : 46,7 Mb
Release : 2011-10-06
Category : Science
ISBN : 3642644724

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The Mathematics of Models for Climatology and Environment by Jesus I. Diaz Pdf

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.

Applied Mathematics and Omics to Assess Crop Genetic Resources for Climate Change Adaptive Traits

Abdallah Bari,Ardeshir B. Damania,Michael Mackay,Selvadurai Dayanandan
Applied Mathematics and Omics to Assess Crop Genetic Resources for Climate Change Adaptive Traits Book PDF

Author : Abdallah Bari,Ardeshir B. Damania,Michael Mackay,Selvadurai Dayanandan
Publisher : CRC Press
Page : 284 pages
File Size : 44,5 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781315362205

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Applied Mathematics and Omics to Assess Crop Genetic Resources for Climate Change Adaptive Traits by Abdallah Bari,Ardeshir B. Damania,Michael Mackay,Selvadurai Dayanandan Pdf

Applied Mathematics and Omics to Assess Crop Genetic Resources for Climate Change Adaptive Traits focuses on practical means and approaches to further the use of genetic resources for mitigating the effects of climate change and improving crop production. Genetic diversity in crop plants is being further explored to increase yield, disease resistance, and nutritional value by employing recent advances in mathematics and omics technologies to promote the adaptation of crops to changing climatic conditions. This book presents a broad view of biodiversity and genetic resources in agriculture and provides answers to some current problems. It also highlights ways to provide much-needed information to practitioners and innovators engaged in addressing the effects of global climate change on agriculture. The book is divided into sections that cover: The implications of climate change for drylands and farming communities The potential of genetic resources and biodiversity to adapt to and mitigate climate change effects Applications of mathematics and omics technologies Genomics and gene identification We are in the midst of significant changes in global climates, and its effects are already being felt throughout the world. The increasing frequency of droughts and heat waves has had negative impacts on agricultural production, especially in the drylands of the world. This book shares the collective knowledge of leading scientists and practitioners, giving readers a broader appreciation and heightened awareness of the stakes involved in improving and sustaining agricultural production systems in the face of climate change.

Mathematics of Energy and Climate Change

Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana
Mathematics of Energy and Climate Change Book PDF

Author : Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2015
Category : Electronic
ISBN : 3319161229

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Mathematics of Energy and Climate Change by Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana Pdf

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.