The Mathematics Of Models For Climatology And Environment

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The Mathematics of Models for Climatology and Environment

Author : Jesus I. Diaz
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 43,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783642606038

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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.

Mathematics of Climate Modeling

Author : Valentin P. Dymnikov,Aleksander N. Filatov
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461241485

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Mathematics of Climate Modeling by Valentin P. Dymnikov,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 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.

Climate Modeling for Scientists and Engineers

Author : John B. Drake
Publisher : SIAM
Page : 169 pages
File Size : 42,8 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.

Introduction to Climate Modelling

Author : Thomas Stocker
Publisher : Springer Science & Business Media
Page : 193 pages
File Size : 45,8 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.

Mathematical Approach to Climate Change and its Impacts

Author : Piermarco Cannarsa,Daniela Mansutti,Antonello Provenzale
Publisher : Springer Nature
Page : 243 pages
File Size : 49,9 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.

Mathematics of Climate Modeling

Author : V. P. Dymnikov,Aleksandr Nikolaevich Filatov
Publisher : Unknown
Page : 264 pages
File Size : 53,9 Mb
Release : 1997
Category : Climatologie - Mathématiques
ISBN : 3764339152

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Mathematics of Climate Modeling by V. P. Dymnikov,Aleksandr Nikolaevich 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 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.

Climate Mathematics

Author : Samuel S. P. Shen,Richard C. J. Somerville
Publisher : Cambridge University Press
Page : 417 pages
File Size : 55,6 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.

Stochastic Climate Models

Author : Peter Imkeller,Jin-Song von Storch
Publisher : Birkhäuser
Page : 413 pages
File Size : 52,6 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.

Mathematical and Physical Fundamentals of Climate Change

Author : Zhihua Zhang,John C. Moore
Publisher : Elsevier
Page : 494 pages
File Size : 46,9 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

Mathematical Paradigms of Climate Science

Author : Fabio Ancona,Piermarco Cannarsa,Christopher Jones,Alessandro Portaluri
Publisher : Springer
Page : 228 pages
File Size : 51,5 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.

Demystifying Climate Models

Author : Andrew Gettelman,Richard B. Rood
Publisher : Springer
Page : 282 pages
File Size : 44,7 Mb
Release : 2016-04-09
Category : Technology & Engineering
ISBN : 9783662489598

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Demystifying Climate Models by Andrew Gettelman,Richard B. Rood Pdf

This book demystifies the models we use to simulate present and future climates, allowing readers to better understand how to use climate model results. In order to predict the future trajectory of the Earth’s climate, climate-system simulation models are necessary. When and how do we trust climate model predictions? The book offers a framework for answering this question. It provides readers with a basic primer on climate and climate change, and offers non-technical explanations for how climate models are constructed, why they are uncertain, and what level of confidence we should place in them. It presents current results and the key uncertainties concerning them. Uncertainty is not a weakness but understanding uncertainty is a strength and a key part of using any model, including climate models. Case studies of how climate model output has been used and how it might be used in the future are provided. The ultimate goal of this book is to promote a better understanding of the structure and uncertainties of climate models among users, including scientists, engineers and policymakers.

Environmental Modelling and Prediction

Author : Gongbing Peng,Lance M. Leslie,Yaping Shao
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 55,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662048689

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Environmental Modelling and Prediction by Gongbing Peng,Lance M. Leslie,Yaping Shao Pdf

In this book the authors consider the natural environment as an integrated system. The physical, chemical and biological processes that govern the behaviour of the environmental system can thus be understood through mathematical modelling, and their evolution can be studied by means of numerical simulation. The book contains a summary of various efficient approaches in atmospheric prediction, such as numerical weather prediction and statistical forecast of climate change, as well as other successful methods in land surface modelling. The authors explore new theories and methods in environment prediction such as systems analysis and information theory. Attention is given to new achievements in remote sensing tele-metering and geographic information systems.

Climate System Modeling

Author : Kevin E. Trenberth
Publisher : Cambridge University Press
Page : 822 pages
File Size : 44,7 Mb
Release : 1992
Category : Computers
ISBN : 9780521432313

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Climate System Modeling by Kevin E. Trenberth Pdf

Climate Systems Modeling presents an interdisciplinary and comprehensive study of the dynamics of the whole global system. As a comprehensive text it will appeal to students and researchers concerned with any aspect of climatology and the study of related topics in the broad earth and environmental sciences.

Energy Balance Climate Models

Author : Gerald R. North,Kwang-Yul Kim
Publisher : John Wiley & Sons
Page : 389 pages
File Size : 50,5 Mb
Release : 2017-12-04
Category : Science
ISBN : 9783527411320

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Energy Balance Climate Models by Gerald R. North,Kwang-Yul Kim Pdf

Energy Balance Climate Models Written by renowned experts in the field, this first book to focus exclusively on energy balance climate models provides a concise overview of the topic. It covers all major aspects, from the simplest zero-dimensional models, proceeding to horizontally and vertically resolved models. The text begins with global average models, which are explored in terms of their elementary forms yielding the global average temperature, right up to the incorporation of feedback mechanisms and some analytical properties of interest. The eff ect of stochastic forcing is then used to introduce natural variability in the models before turning to the concept of stability theory. Other one dimensional or zonally averaged models are subsequently presented, along with various applications, including chapters on paleoclimatology, the inception of continental glaciations, detection of signals in the climate system, and optimal estimation of large scale quantities from point scale data. Throughout the book, the authors work on two mathematical levels: qualitative physical expositions of the subject material plus optional mathematical sections that include derivations and treatments of the equations along with some proofs of stability theorems. A must-have introduction for policy makers, environmental agencies, and NGOs, as well as climatologists, molecular physicists, and meteorologists.

A Climate Modelling Primer

Author : Kendal McGuffie,Ann Henderson-Sellers
Publisher : John Wiley & Sons
Page : 302 pages
File Size : 44,6 Mb
Release : 2013-04-10
Category : Science
ISBN : 9781118687857

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A Climate Modelling Primer by Kendal McGuffie,Ann Henderson-Sellers Pdf

As a consequence of recent increased awareness of the social and political dimensions of climate, many non-specialists discover a need for information about the variety of available climate models. A Climate Modelling Primer, Third Edition explains the basis and mechanisms of all types of current physically-based climate models. A thoroughly revised and updated edition, this book assists the reader in understanding the complexities and applicabilities of today’s wide range of climate models. Topics covered include the latest techniques for modelling the coupled biosphere-ocean-atmosphere system, information on current practical aspects of climate modelling and ways to evaluate and exploit the results, discussion of Earth System Models of Intermediate Complexity (EMICs), and interactive exercises based on Energy Balance Model (EBM) and the Daisyworld model. Source codes and results from a range of model types allows readers to make their own climate simulations and to view the results of the latest high resolution models. The accompanying CD contains: A suite of resources for those wishing to learn more about climate modelling. A range of model visualisations. Data from climate models for use in the classroom. Windows and Macintosh programs for an Energy Balance Model. Selected figures from the book for inclusion in presentations and lectures. Suitable for 3rd/4th year undergraduates taking courses in climate modelling, economic forecasting, computer science, environmental science, geography and oceanography. Also of relevance to researchers and professionals working in related disciplines with climate models or who need accessible technical background to climate modelling predictions.