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  • Conference proceedings
  • © 2016

Mathematical Problems in Meteorological Modelling

  • 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

Part of the book series: Mathematics in Industry (MATHINDUSTRY, volume 24)

Part of the book sub series: The European Consortium for Mathematics in Industry (TECMI)

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Table of contents (12 papers)

  1. Front Matter

    Pages i-xv
  2. Numerical Methods for Meteorological Problems

    1. Front Matter

      Pages 1-2
    2. Discretization in Numerical Weather Prediction: A Modular Approach to Investigate Spectral and Local SISL Methods

      • Steven Caluwaerts, Daan Degrauwe, Fabrice Voitus, Piet Termonia
      Pages 19-46
    3. Turbulence Modeling Using Fractional Derivatives

      • Béla J. Szekeres
      Pages 47-55
  3. Air Quality Modelling

    1. Front Matter

      Pages 71-72
    2. Eulerian and Lagrangian Approaches for Modelling of Air Quality

      • Ádám Leelőssy, Tamás Mona, Róbert Mészáros, István Lagzi, Ágnes Havasi
      Pages 73-85
    3. Hydrodynamic Modeling of Industrial Pollutants Spreading in Atmosphere

      • Vitaliy A. Prusov, Anatoliy Y. Doroshenko
      Pages 87-116
    4. Coordinate Transformation Approach for Numerical Solution of Environmental Problems

      • Tatiana Chernogorova, Ivan Dimov, Lubin Vulkov
      Pages 117-127
    5. Impact of Climatic Changes on Pollution Levels

      • Zahari Zlatev, István Faragó, Ágnes Havasi
      Pages 129-161
  4. Meteorological Data Assimilation and Probabilistic Forecasting

    1. Front Matter

      Pages 163-164
    2. An Invitation to Meteorological Data Assimilation

      • Ágnes Bodó, Petra Csomós
      Pages 165-192
    3. Ensemble Methods in Meteorological Modelling

      • Mihály Szűcs, András Horányi, Gabriella Szépszó
      Pages 207-237
  5. Back Matter

    Pages 263-264

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)

Editors and Affiliations

  • Institute of Mathematics, Eötvös Lorand University, Institute of Mathematics, Budapest, Hungary

    András Bátkai

  • Dept. of Appl.Analysis & Comp.Math., Eötvös Loránd University Institute of Mathematics, Budapest, Hungary

    Petra Csomós

  • Institute of Mathematics, Eötvös Lorand University, Budapest, Hungary

    István Faragó

  • Solymár, Hungary

    András Horányi

  • Hungarian Meteorological Service, Budapest, Hungary

    Gabriella Szépszó

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access