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The European Consortium for Mathematics in Industry Mathematics of Planet Earth Collection

Mathematical Problems in Meteorological Modelling

Editors: Bátkai, A., Csomós, P., Faragó, I., Horányi, A., Szépszó, G. (Eds.)

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  • Comprehensive overview on problems being important in meteorological modelling
  • Gives a mathematical insight in meteorological problems, and provides application fields in meteorology for mathematical results
  • Contains the precise mathematical background and explanation of methods being used in meteorological modelling
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eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-319-40157-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-319-40155-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-3-319-82044-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

“This is a well written, absorbing, and highly informative book, especially for readers interested in the mathematical theory of climate and the numerical methods in atmospheric physics. It is of great value to researchers in applied mathematics, environmental fluid mechanics, and geophysics, particularly in atmospheric sciences.” (Andrzej Icha, Pure and Applied Geophysics, Vol. 175, 2018)

Table of contents (12 chapters)

Table of contents (12 chapters)
  • On a Conservative Finite-Difference Method for 1D Shallow Water Flows Based on Regularized Equations

    Pages 3-18

    Zlotnik, Alexander (et al.)

  • Discretization in Numerical Weather Prediction: A Modular Approach to Investigate Spectral and Local SISL Methods

    Pages 19-46

    Caluwaerts, Steven (et al.)

  • Turbulence Modeling Using Fractional Derivatives

    Pages 47-55

    Szekeres, Béla J.

  • A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems

    Pages 57-70

    Karátson, János (et al.)

  • Eulerian and Lagrangian Approaches for Modelling of Air Quality

    Pages 73-85

    Leelőssy, Ádám (et al.)

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-319-40157-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-319-40155-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-3-319-82044-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Problems in Meteorological Modelling
Editors
  • András Bátkai
  • Petra Csomós
  • István Faragó
  • András Horányi
  • Gabriella Szépszó
Series Title
The European Consortium for Mathematics in Industry
Series Volume
24
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-40157-7
DOI
10.1007/978-3-319-40157-7
Hardcover ISBN
978-3-319-40155-3
Softcover ISBN
978-3-319-82044-6
Edition Number
1
Number of Pages
XV, 264
Number of Illustrations
17 b/w illustrations, 50 illustrations in colour
Topics