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 272 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.
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.
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.
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.
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.
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.
Download or read book Invisible in the Storm written by Ian Roulstone and published by Princeton University Press. This book was released on 2013-02-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible book that examines the mathematics of weather prediction Invisible in the Storm is the first book to recount the history, personalities, and ideas behind one of the greatest scientific successes of modern times—the use of mathematics in weather prediction. Although humans have tried to forecast weather for millennia, mathematical principles were used in meteorology only after the turn of the twentieth century. From the first proposal for using mathematics to predict weather, to the supercomputers that now process meteorological information gathered from satellites and weather stations, Ian Roulstone and John Norbury narrate the groundbreaking evolution of modern forecasting. The authors begin with Vilhelm Bjerknes, a Norwegian physicist and meteorologist who in 1904 came up with a method now known as numerical weather prediction. Although his proposed calculations could not be implemented without computers, his early attempts, along with those of Lewis Fry Richardson, marked a turning point in atmospheric science. Roulstone and Norbury describe the discovery of chaos theory's butterfly effect, in which tiny variations in initial conditions produce large variations in the long-term behavior of a system—dashing the hopes of perfect predictability for weather patterns. They explore how weather forecasters today formulate their ideas through state-of-the-art mathematics, taking into account limitations to predictability. Millions of variables—known, unknown, and approximate—as well as billions of calculations, are involved in every forecast, producing informative and fascinating modern computer simulations of the Earth system. Accessible and timely, Invisible in the Storm explains the crucial role of mathematics in understanding the ever-changing weather. Some images inside the book are unavailable due to digital copyright restrictions.
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:
Download or read book Spectral Numerical Weather Prediction Models written by Martin Ehrendorfer and published by SIAM. This book was released on 2012-01-19 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of the theory behind the spectral method and its application to building numerical weather prediction models.
Download or read book Computational Techniques for Modeling Atmospheric Processes written by Prusov, Vitaliy and published by IGI Global. This book was released on 2017-06-16 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meteorology has made significant strides in recent years due to the development of new technologies. With the aid of the latest instruments, the analysis of atmospheric data can be optimized. Computational Techniques for Modeling Atmospheric Processes is an academic reference source that encompasses novel methods for the collection and study of meteorological data. Including a range of perspectives on pertinent topics such as air pollution, parameterization, and thermodynamics, this book is an ideal publication for researchers, academics, practitioners, and students interested in instrumental methods in the study of atmospheric processes.
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.
Download or read book Advanced Numerical Methods for Complex Environmental Models Needs and Availability written by István Faragó and published by Bentham Science Publishers. This book was released on 2013-12-10 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: High air pollution levels pose a significant threat to plants, animals and human beings. Efforts by researchers are directed towards keeping air pollution levels below well defined ‘critical‘ levels in order to maintain a sustainable atmosphere and environmental system. The application of advanced mathematical models is important for researchers to achieve this goal as efficiently as possible. Mathematical models can be used to predict answers to many important questions about the environment. This application comes with several complex theoretical and practical obstacles which need to be resolved. A successfully applicable mathematical model needs to enable researchers to • Mathematically describe all important physical and chemical processes. • Apply fast and sufficiently accurate numerical methods. • Ensure that the model runs efficiently on modern high speed computers. • Use high quality input data, both meteorological data and emission inventories, in the runs. • Verify the model results by comparing them with reliable measurements taken in different parts of the spatial domain of the model. • Carry out long series of sensitivity experiments to check the response of the model to changes of different key parameters. • Visualize and animate the output results in order to make them easily understandable even to non-specialists. This monograph thoroughly describes mathematical methods useful for various situations in environmental modeling - including finite difference methods, splitting methods, parallel computation, etc. - and provides a framework for resolving problems posed in relation to the points listed above. Chapters are written by well-known specialists making this book a handy reference for researchers, university teachers and students working and studying in the areas of air pollution, meteorology, applied mathematics and computer science.
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.
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 293 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.
Download or read book Meteorological Fluid Dynamics written by Radyadour K. Zeytounian and published by Springer Science & Business Media. This book was released on 2008-10-09 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers meteorology as a part of fluid dynamics. He tries to derive the properties of atmospheric flows from a rational analysis of the Navier-Stokes equations, at the same time analyzing various types of initial and boundary problems. This approach to simulate nature by models from fluid dynamics will be of interest to both scientists and students of physics and theoretical meteorology.
Download or read book The Mathematics of Models for Climatology and Environment written by Jesus I. Diaz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Weather Derivative Valuation written by Stephen Jewson and published by Cambridge University Press. This book was released on 2005-03-10 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 2005, Weather Derivative Valuation covers all the meteorological, statistical, financial and mathematical issues that arise in the pricing and risk management of weather derivatives. There are chapters on meteorological data and data cleaning, the modelling and pricing of single weather derivatives, the modelling and valuation of portfolios, the use of weather and seasonal forecasts in the pricing of weather derivatives, arbitrage pricing for weather derivatives, risk management, and the modelling of temperature, wind and precipitation. Specific issues covered in detail include the analysis of uncertainty in weather derivative pricing, time-series modelling of daily temperatures, the creation and use of probabilistic meteorological forecasts and the derivation of the weather derivative version of the Black-Scholes equation of mathematical finance. Written by consultants who work within the weather derivative industry, this book is packed with practical information and theoretical insight into the world of weather derivative pricing.
