Mathematical Problems In Meteorological Modelling
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Mathematical Problems In Meteorological Modelling
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Author : András Bátkai
language : en
Publisher: Springer
Release Date : 2016-11-08
Mathematical Problems In Meteorological Modelling written by András Bátkai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-08 with Mathematics categories.
This book deals with mathematical problems arising in the context of meteorological modelling. It gathers and presents some of the most interesting and important issues from the interaction of mathematics and meteorology. It is unique in that it features contributions on topics like data assimilation, ensemble prediction, numerical methods, and transport modelling, from both mathematical and meteorological perspectives. The derivation and solution of all kinds of numerical prediction models require the application of results from various mathematical fields. The present volume is divided into three parts, moving from mathematical and numerical problems through air quality modelling, to advanced applications in data assimilation and probabilistic forecasting. The book arose from the workshop “Mathematical Problems in Meteorological Modelling” held in Budapest in May 2014 and organized by the ECMI Special Interest Group on Numerical Weather Prediction. Its main objective is to highlight the beauty of the development fields discussed, to demonstrate their mathematical complexity and, more importantly, to encourage mathematicians to contribute to the further success of such practical applications as weather forecasting and climate change projections. Written by leading experts in the field, the book provides an attractive and diverse introduction to areas in which mathematicians and modellers from the meteorological community can cooperate and help each other solve the problems that operational weather centres face, now and in the near future. Readers engaged in meteorological research will become more familiar with the corresponding mathematical background, while mathematicians working in numerical analysis, partial differential equations, or stochastic analysis will be introduced to further application fields of their research area, and will find stimulation and motivation for their future research work.
Observation Theory And Modeling Of Atmospheric Variability
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Author : Xun Zhu
language : en
Publisher: World Scientific
Release Date : 2004
Observation Theory And Modeling Of Atmospheric Variability written by Xun Zhu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
This book contains tutorial and review articles as well as specific research letters that cover a wide range of topics: (1) dynamics of atmospheric variability from both basic theory and data analysis, (2) physical and mathematical problems in climate modeling and numerical weather prediction, (3) theories of atmospheric radiative transfer and their applications in satellite remote sensing, and (4) mathematical and statistical methods. The book can be used by undergraduates or graduate students majoring in atmospheric sciences, as an introduction to various research areas; and by researchers and educators, as a general review or quick reference in their fields of interest.
Mathematical Problems And Methods Of Hydrodynamic Weather Forecasting
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Author : Vladimir Gordin
language : en
Publisher: CRC Press
Release Date : 2000-09-20
Mathematical Problems And Methods Of Hydrodynamic Weather Forecasting written by Vladimir Gordin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-20 with Mathematics categories.
The material provides an historical background to forecasting developments as well as introducing recent advances. The book will be of interest to both mathematicians and physicians, the topics covered include equations of dynamical meteorology, first integrals, non-linear stability, well-posedness of boundary problems, non-smooth solutions, parameters and free oscillations, meteorological data processing, methods of approximation and interpolation and numerical methods for forecast modelling.
Numerical Methods In Weather Prediction
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Author : Guriĭ Ivanovich Marchuk
language : en
Publisher: Academic Press
Release Date : 1974
Numerical Methods In Weather Prediction written by Guriĭ Ivanovich Marchuk and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Nature categories.
Numerical Methods in Weather Prediction focuses on the numerical methods for solving problems of weather prediction and explains the aspect of the general circulation of the atmosphere. This book explores the development in the science of meteorology, which provides investigators with improved means of studying physical processes by mathematical stimulation. Organized into eight chapters, this book starts with an overview of the significant physical factors that are instrumental in enriching the theoretical models of weather prediction. This text then examines the system of hydrodynamic equations and the equation of heat transfer related to large-scale atmospheric processes. Other chapters consider the quasigeostrophic approximation model, which is the basis for concepts of the dynamics of atmospheric motions and instrumental in establishing the basic features and laws of evolution of meteorological variables as applied to large-scale processes. The final chapter deals with the adjustment of the humidity field. This book is a valuable resource for meteorologists.
Air Pollution Abstracts
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Author :
language : en
Publisher:
Release Date : 1971
Air Pollution Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Air categories.
Computational And Numerical Challenges In Environmental Modelling
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Author : Zahari Zlatev
language : en
Publisher: Elsevier
Release Date : 2006-05-02
Computational And Numerical Challenges In Environmental Modelling written by Zahari Zlatev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-02 with Mathematics categories.
Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations. The discretization of the spatial derivatives in such models leads to the solution of very large systems of ordinary differential equations. These systems contain many millions of equations and have to be handled over large time intervals by applying many time-steps (up to several hundred thousand time-steps). Furthermore, many scenarios are as a rule to be run. This explains the fact that the computational tasks in this situation are enormous. Therefore, it is necessary to select fast numerical methods; to develop parallel codes and, what is most important when the problems solved are very large to organize the computational process in a proper way.The last item (which is very often underestimated but, let us re-iterate, which is very important) is the major topic of this book. In fact, the proper organization of the computational process can be viewed as a preparation of templates which can be used with different numerical methods and different parallel devices. The development of such templates is described in the book. It is also demonstrated that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. Thus, this book will help the reader to understand better that, while (a) it is very important to select fast numerical methods as well as (b) it is very important to develop parallel codes, this will not be sufficient when the problems solved are really very large. In the latter case, it is also crucial to exploit better the computer architecture by organizing properly the computational process. - Use of templates in connection with the treatment of very large models - Performance of comprehensive environmental studies - Obtaining reliable and robust information about pollution levels - Studying the impact of future climatic changes on high pollution levels - Investigating trends related to critical levels of pollution
From Observations To Simulations A Conceptual Introduction To Weather And Climate Modelling
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Author : Antonello Pasini
language : en
Publisher: World Scientific
Release Date : 2006-01-16
From Observations To Simulations A Conceptual Introduction To Weather And Climate Modelling written by Antonello Pasini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Science categories.
From Observations to Simulations leads us on a fascinating journey through the methods used for the scientific analysis of complex systems such as the atmosphere and the Earth system: from meteorology and climatology, as observational sciences, to the development of models and the use of computers as virtual laboratories. In plain, accessible language, avoiding technicalities, but highlighting the conceptually meaningful aspects, the book describes this “Copernican revolution” in meteorology and climatology, a change in methodological paradigm that rigorously tests the definition of some classical concepts, such as “causality” and “prediction.” This is the first book that guides the general public (and sets the specialists thinking) through research on complex systems which is contributing to a change in our outlook on nature.
Environmental Modeling Using Satellite Imaging And Dataset Re Processing
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Author : Moses Eterigho Emetere
language : en
Publisher: Springer
Release Date : 2019-02-21
Environmental Modeling Using Satellite Imaging And Dataset Re Processing written by Moses Eterigho Emetere and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Technology & Engineering categories.
This book introduces methods of re-processing images to extract numerical information that can be used to quantify the observables in environmental modelling. Experiments or procedures that yield large images can be statistically or parametrically examined. Through the use of open source libraries, the book shows how ‘big data’ in the form of images or datasets can be comparatively analysed along same defined procedures or standards. This book helps to solve the challenges of discarding datasets that are relevant directly or indirectly to the research. The habit of screening datasets leads to the discard of over 90% of the original dataset or images generated in the experiments or procedure. If the images or datasets are generated under the same principles or conditions, then each measurement may be the narrative of unique events. The focus of this book is to enlighten researchers on how to analyse measurements with the aim of ensuring 100% utilization.
Fundamentals Of Numerical Weather Prediction
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Author : Jean Coiffier
language : en
Publisher:
Release Date : 2011
Fundamentals Of Numerical Weather Prediction written by Jean Coiffier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Numerical weather forecasting categories.
"Numerical models have become essential tools in environmental science, particularly in weather forecasting and climate prediction. This book provides a comprehensive overview of the techniques used in these fields, with emphasis on the design of the most recent numerical models of the atmosphere. It presents a short history of numerical weather prediction and its evolution, before describing the various model equations and how to solve them numerically. It outlines the main elements of a meteorological forecast suite, and the theory is illustrated throughout with practical examples of operational models and parameterizations of physical processes. This book is founded on the author's many years of experience, as a scientist at Me;te;o-France and teaching university-level courses. It is a practical and accessible textbook for graduate courses and a handy resource for researchers and professionals in atmospheric physics, meteorology and climatology, as well as the related disciplines of fluid dynamics, hydrology and oceanography"--
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 1988
Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.