Mathematical Problems in Meteorological Modelling

  • András Bátkai
  • Petra Csomós
  • István Faragó
  • András Horányi
  • Gabriella Szépszó
Conference proceedings

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

Also part of the The European Consortium for Mathematics in Industry book sub series (TECMI, volume 24)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Numerical Methods for Meteorological Problems

  3. Air Quality Modelling

    1. Front Matter
      Pages 71-72
    2. Ádám Leelőssy, Tamás Mona, Róbert Mészáros, István Lagzi, Ágnes Havasi
      Pages 73-85
    3. Vitaliy A. Prusov, Anatoliy Y. Doroshenko
      Pages 87-116
    4. Tatiana Chernogorova, Ivan Dimov, Lubin Vulkov
      Pages 117-127
    5. Zahari Zlatev, István Faragó, Ágnes Havasi
      Pages 129-161
  4. Meteorological Data Assimilation and Probabilistic Forecasting

    1. Front Matter
      Pages 163-164
    2. Ágnes Bodó, Petra Csomós
      Pages 165-192
    3. Mihály Szűcs, András Horányi, Gabriella Szépszó
      Pages 207-237
  5. Back Matter
    Pages 263-264

About these proceedings


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.


data assimilation mathematical modeling numerical weather prediction time discretization uncertainty quantification

Editors and affiliations

  • András Bátkai
    • 1
  • Petra Csomós
    • 2
  • István Faragó
    • 3
  • András Horányi
    • 4
  • Gabriella Szépszó
    • 5
  1. 1.Institute of MathematicsEötvös Lorand University, Institute of MathematicsBudapestHungary
  2. 2.Dept. of Appl.Analysis & Comp.Math.Eötvös Loránd University Institute of MathematicsBudapestHungary
  3. 3.Institute of MathematicsEötvös Lorand UniversityBudapestHungary
  4. 4.SolymárHungary
  5. 5.Hungarian Meteorological ServiceBudapestHungary

Bibliographic information