Mathematical Problems in Meteorological Modelling

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Publisher : Springer
ISBN 13 : 3319401572
Total Pages : 264 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mathematical Problems in Meteorological Modelling by : András Bátkai

Download or read book Mathematical Problems in Meteorological Modelling written by András Bátkai and published by Springer. This book was released on 2016-11-08 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Problems and Methods of Hydrodynamic Weather Forecasting

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Publisher : CRC Press
ISBN 13 : 9789056991647
Total Pages : 846 pages
Book Rating : 4.9/5 (916 download)

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Book Synopsis Mathematical Problems and Methods of Hydrodynamic Weather Forecasting by : Vladimir Gordin

Download or read book Mathematical Problems and Methods of Hydrodynamic Weather Forecasting written by Vladimir Gordin and published by CRC Press. This book was released on 2000-09-20 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Observation, Theory And Modeling Of Atmospheric Variability - Selected Papers Of Nanjing Institute Of Meteorology Alumni In Commemoration Of Professor Jijia Zhang

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Publisher : World Scientific
ISBN 13 : 9814483559
Total Pages : 637 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Observation, Theory And Modeling Of Atmospheric Variability - Selected Papers Of Nanjing Institute Of Meteorology Alumni In Commemoration Of Professor Jijia Zhang by : Xun Zhu

Download or read book Observation, Theory And Modeling Of Atmospheric Variability - Selected Papers Of Nanjing Institute Of Meteorology Alumni In Commemoration Of Professor Jijia Zhang written by Xun Zhu and published by World Scientific. This book was released on 2004-02-25 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Methods in Weather Prediction

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Publisher : Elsevier
ISBN 13 : 0323157467
Total Pages : 288 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Numerical Methods in Weather Prediction by : G Marchuk

Download or read book Numerical Methods in Weather Prediction written by G Marchuk and published by Elsevier. This book was released on 2012-12-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Weather Prediction by Numerical Process

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Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Weather Prediction by Numerical Process by : Lewis F. Richardson

Download or read book Weather Prediction by Numerical Process written by Lewis F. Richardson and published by . This book was released on 1922 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Numerical Weather Prediction Models

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Publisher : SIAM
ISBN 13 : 1611971993
Total Pages : 498 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Spectral Numerical Weather Prediction Models by : Martin Ehrendorfer

Download or read book Spectral Numerical Weather Prediction Models written by Martin Ehrendorfer and published by SIAM. This book was released on 2012-01-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of numerical weather prediction (NWP) focusing on the application of the spectral method in NWP models. The author illustrates the use of the spectral method in theory as well as in its application to building a full prototypical spectral NWP model, from the formulation of continuous model equations through development of their discretized forms to coded statements of the model. The author describes the implementation of a specific model - PEAK (Primitive-Equation Atmospheric Research Model Kernel) - to illustrate the steps needed to construct a global spectral NWP model. The book brings together all the spectral, time, and vertical discretization aspects relevant for such a model. It provides readers with information necessary to construct spectral NWP models; a self-contained, well-documented, coded spectral NWP model; and theoretical and practical exercises, some of which include solutions.

Mathematics of Climate Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 1461241480
Total Pages : 275 pages
Book Rating : 4.4/5 (612 download)

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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.

Numerical Weather Prediction and Data Assimilation

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Publisher : John Wiley & Sons
ISBN 13 : 1119701015
Total Pages : 196 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Numerical Weather Prediction and Data Assimilation by : Petros Katsafados

Download or read book Numerical Weather Prediction and Data Assimilation written by Petros Katsafados and published by John Wiley & Sons. This book was released on 2020-07-16 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has as main aim to be an introductory textbook of applied knowledge in Numerical Weather Prediction (NWP), which is a method of weather forecasting that employs: A set of equations that describe the flow of fluids translated into computer code, combined with parameterizations of other processes, applied on a specific domain and integrated in the basis of initial and domain boundary conditions. Current weather observations serve as input to the numerical computer models through a process called data assimilation to produce atmospheric properties in the future (e.g. temperature, precipitation, and a lot of other meteorological parameters). Various case studies will be also presented and analyzed through this book.

Climate Modeling for Scientists and Engineers

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Publisher : SIAM
ISBN 13 : 1611973546
Total Pages : 165 pages
Book Rating : 4.6/5 (119 download)

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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.

Weather Prediction by Numerical Process

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Publisher : Cambridge University Press
ISBN 13 : 0521680441
Total Pages : 15 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Weather Prediction by Numerical Process by : Lewis Fry Richardson

Download or read book Weather Prediction by Numerical Process written by Lewis Fry Richardson and published by Cambridge University Press. This book was released on 2007-08-13 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: New edition of a classic book which was the first comprehensive description of numerical weather prediction.

Atmospheric Modeling, Data Assimilation and Predictability

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Publisher : Cambridge University Press
ISBN 13 : 9780521796293
Total Pages : 368 pages
Book Rating : 4.7/5 (962 download)

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Book Synopsis Atmospheric Modeling, Data Assimilation and Predictability by : Eugenia Kalnay

Download or read book Atmospheric Modeling, Data Assimilation and Predictability written by Eugenia Kalnay and published by Cambridge University Press. This book was released on 2003 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2002, is a graduate-level text on numerical weather prediction, including atmospheric modeling, data assimilation and predictability.

Atmospheres and Oceans on Computers

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Publisher : Springer
ISBN 13 : 3319938649
Total Pages : 275 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Atmospheres and Oceans on Computers by : Lars Petter Røed

Download or read book Atmospheres and Oceans on Computers written by Lars Petter Røed and published by Springer. This book was released on 2018-09-04 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces step by step the basic numerical methods to solve the equations governing the motion of the atmosphere and ocean, and describes how to develop a set of corresponding instructions for the computer as part of a code. Today's computers are powerful enough to allow 7-day forecasts within hours, and modern teaching of the subject requires a combination of theoretical and computational approaches. The presentation is aimed at beginning graduate students intending to become forecasters or researchers, that is, users of existing models or model developers. However, model developers must be well versed in the underlying physics as well as in numerical methods. Thus, while some of the topics discussed in the modeling of the atmosphere and ocean are more advanced, the book ensures that the gap between those scientists who analyze results from model simulations and observations and those who work with the inner works of the model does not widen further. In this spirit, the course presents methods whereby important balance equations in oceanography and meteorology, namely the advection-diffusion equation and the shallow water equations on a rotating Earth, can be solved by numerical means with little prior knowledge. The numerical focus is on the finite-difference (FD) methods, and although more powerful methods exist, the simplicity of FD makes it ideal as a pedagogical introduction to the subject. The book also includes suitable exercises and computer problems.

From Observations to Simulations

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Publisher : World Scientific
ISBN 13 : 9812774696
Total Pages : 231 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis From Observations to Simulations by : Antonello Pasini

Download or read book From Observations to Simulations written by Antonello Pasini and published by World Scientific. This book was released on 2005 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of a global economy is being reshaped by the economic emergence of two Asian giants, China and India. How the world's two most populous countries manage globalization as they pursue economic reform and liberalization will impact significantly their societies, the rest of Asia, and the world. This book brings together articles by first rate scholars of China and India to share and discuss their research findings in four areas: Challenges, Opportunities and Responses to Globalization; Social Security and Governance; National Security in the age of Globalization; and Ethnicity and Identity in the New World. The book includes an opening address by Singapore's Minister Mentor Lee Kuan Yew, from his speech on "Managing Globalization: Lessons from China and India", delivered at the official opening of the Lee Kuan Yew School of Public Policy on 4 April 2005.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400959915
Total Pages : 555 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Prediction of Weather Parameters by Harmonic Analysis and Artificial Neural Networks

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Publisher : Booktango
ISBN 13 : 1468940244
Total Pages : 334 pages
Book Rating : 4.4/5 (689 download)

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Book Synopsis Prediction of Weather Parameters by Harmonic Analysis and Artificial Neural Networks by : Manjusha Kulshrestha

Download or read book Prediction of Weather Parameters by Harmonic Analysis and Artificial Neural Networks written by Manjusha Kulshrestha and published by Booktango. This book was released on 2013-10-29 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, addresses the problem of prediction of weather Parameters like: i) Prediction of annual rainfall. ii) Prediction of return period of occurred highest one day maximum rainfall. iii) Prediction of weekly rainfall probabilities. iv) Prediction of Hourly air temperatures for one day. v) Prediction of soil temperatures at 5- 20 cm. depths. Double variable Fourier Series approach is first time applied to the problems of prediction in Meteorology. The main objective of this book is to predict the weather elements especially, annual rainfall and weekly rainfall probabilities, soil temperature (of Anand station of Gujarat, India) by using appropriate computational methods.The present book consists of six chapters. Chapter 2 gives necessary preliminaries on Weather, Artificial Neural Networks, the required Mathematical Analysis and Fourier series etc.A brief description of the chapters 3 to 6 is as follow: Chapter 3: Prediction of Annual Rainfall. Chapter 3 deals with the prediction of Annual Rainfall by using the following two methods: i) Artificial Neural Networks, and Double Variable Fourier Series. Chapter 4: Prediction of Rainfall Probabilities. In this chapter, we investigate following two problems: i) Return Period Analysis (RTPA) by Gumbel (13) and Fisher Tippett Type-II Distribution and ANN ii) Rainfall Probability Analysis (RPA) by Gamma Distribution ii) Model (GDM) and ANN. Chapter 5:- Prediction of Air temperatures. Chapter five deals with prediction of hourly air temperatures. The following two different methods are employed. i) Parton’s Mathematical Model. ii) Artificial Neural Network. Chapter 6.:- Prediction of weekly Soil temperatures. Chapter 6 deals with prediction of weekly soil temperatures at different depths by using following two different methods: i) Harmonic Analysis (HA) ii) Artificial Neural Networks (ANN).

Large Scale Inverse Problems

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Publisher : Walter de Gruyter
ISBN 13 : 3110282267
Total Pages : 212 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Large Scale Inverse Problems by : Mike Cullen

Download or read book Large Scale Inverse Problems written by Mike Cullen and published by Walter de Gruyter. This book was released on 2013-08-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is thesecond volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications. The solution of inverse problems is fundamental to a wide variety of applications such as weather forecasting, medical tomography, and oil exploration. Regularisation techniques are needed to ensure solutions of sufficient quality to be useful, and soundly theoretically based. This book addresses the common techniques required for all the applications, and is thus truly interdisciplinary. Thiscollection of surveyarticlesfocusses onthe large inverse problems commonly arising in simulation and forecasting in the earth sciences. For example, operational weather forecasting models have between 107 and 108 degrees of freedom. Even so, these degrees of freedom represent grossly space-time averaged properties of the atmosphere. Accurate forecasts require accurate initial conditions. With recent developments in satellite data, there are between 106 and 107 observations each day. However, while these also represent space-time averaged properties, the averaging implicit in the measurements is quite different from that used in the models. In atmosphere and ocean applications, there is a physically-based model available which can be used to regularise the problem. We assume that there is a set of observations with known error characteristics available over a period of time. The basic deterministic technique is to fit a model trajectory to the observations over a period of time to within the observation error. Since the model is not perfect the model trajectory has to be corrected, which defines the data assimilation problem. The stochastic view can be expressed by using an ensemble of model trajectories, and calculating corrections to both the mean value and the spread which allow the observations to be fitted by each ensemble member. In other areas of earth science, only the structure of the model formulation itself is known and the aim is to use the past observation history to determine the unknown model parameters. The book records the achievements of Workshop2 "Large-Scale Inverse Problems and Applications in the Earth Sciences". Itinvolves experts in the theory of inverse problems together with experts working on both theoretical and practical aspects of the techniques by which large inverse problems arise in the earth sciences.

Mesoscale Meteorological Modeling

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Publisher : Academic Press
ISBN 13 : 0125547668
Total Pages : 694 pages
Book Rating : 4.1/5 (255 download)

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Book Synopsis Mesoscale Meteorological Modeling by : Roger A. Pielke

Download or read book Mesoscale Meteorological Modeling written by Roger A. Pielke and published by Academic Press. This book was released on 2002 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition provides an update of the field of mesoscale atmospheric modeling. The topic of mesoscale modeling is developed from basic concepts in atmospheric physics. New numerical and analytical tools are introduced. Problem sets are provided to test the comprehension of the material introduced in the text.