Mathematical Problems in Meteorological Modelling

Part I. Numerical Methods for Meteorological Problems

1. On a Conservative Finite-Difference Method for 1D Shallow Water Flows Based on Regularized Equations
Alexander Zlotnik, Vladimir Gavrilin

2. Discretization in Numerical Weather Prediction: A Modular Approach to Investigate Spectral and Local SISL Methods
Steven Caluwaerts, Daan Degrauwe, Fabrice Voitus, Piet Termonia

3. Turbulence Modeling Using Fractional Derivatives
Béla J. Szekeres

4. A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems
János Karátson, Balázs Kovács

Part II. Air Quality Modelling

5. Eulerian and Lagrangian Approaches for Modelling of Air Quality
Ádám Leelőssy, Tamás Mona, Róbert Mészáros, István Lagzi, Ágnes Havasi

6. Hydrodynamic Modeling of Industrial Pollutants Spreading in Atmosphere
Vitaliy A. Prusov, Anatoliy Y. Doroshenko

7. Coordinate Transformation Approach for Numerical Solution of Environmental Problems
Tatiana Chernogorova, Ivan Dimov, Lubin Vulkov

8. Impact of Climatic Changes on Pollution Levels
Zahari Zlatev, István Faragó, Ágnes Havasi

Part III. Meteorological Data Assimilation and Probabilistic Forecasting

9. An Invitation to Meteorological Data Assimilation
Ágnes Bodó, Petra Csomós

10. Analysis of the Data Assimilation Methods from the Mathematical Point of View
Tamás Szentimrey

11. Ensemble Methods in Meteorological Modelling
Mihály Szűcs, András Horányi, Gabriella Szépszó

12. Quantifying Sources of Uncertainty in Temperature and Precipitation Projections over Different Parts of Europe
Péter Szabó, Gabriella Szépszó

Nyckelord: Mathematics, Applications of Mathematics, Simulation and Modeling, Computational Mathematics and Numerical Analysis, Partial Differential Equations, Statistical Theory and Methods, Theoretical, Mathematical and Computational Physics