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Mathematical Problems in Meteorological Modelling

Author: András Bátkai

Publisher: Springer

Published: 2016-11-08

Total Pages: 272

ISBN-13: 3319401572

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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.

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 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.

Mathematical Problems and Methods of Hydrodynamic Weather Forecasting

Author: Vladimir Gordin

Publisher: CRC Press

Published: 2000-09-20

Total Pages: 846

ISBN-13: 9789056991647

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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.

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

Author: Xun Zhu

Publisher: World Scientific

Published: 2004-02-25

Total Pages: 637

ISBN-13: 9814483559

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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.

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.

Mathematics of Climate Modeling

Author: Valentin P. Dymnikov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 275

ISBN-13: 1461241480

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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.

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 Methods in Weather Prediction

Author: G Marchuk

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 288

ISBN-13: 0323157467

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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.

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.

Numerical Weather Prediction and Data Assimilation

Author: Petros Katsafados

Publisher: John Wiley & Sons

Published: 2020-07-16

Total Pages: 196

ISBN-13: 1119701015

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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.

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.

Spectral Numerical Weather Prediction Models

Author: Martin Ehrendorfer

Publisher: SIAM

Published: 2012-01-19

Total Pages: 503

ISBN-13: 1611971985

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An explanation of the theory behind the spectral method and its application to building numerical weather prediction models.

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 2012-01-19 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.

Computational Techniques for Modeling Atmospheric Processes

Author: Prusov, Vitaliy

Publisher: IGI Global

Published: 2017-06-16

Total Pages: 473

ISBN-13: 1522526374

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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.

Book Synopsis Computational Techniques for Modeling Atmospheric Processes by : Prusov, Vitaliy

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.

Weather Prediction by Numerical Process

Author: Lewis F. Richardson

Publisher:

Published: 1922

Total Pages: 258

ISBN-13:

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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:

Climate Modeling for Scientists and Engineers

Author: John B. Drake

Publisher: SIAM

Published: 2014-01-01

Total Pages: 169

ISBN-13: 1611973546

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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.

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 169 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.