Mathematical Problems in Meteorological Modelling

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This book addresses mathematical challenges in meteorological modeling, presenting key issues at the intersection of mathematics and meteorology. It uniquely features contributions on data assimilation, ensemble prediction, numerical methods, and transport modeling from both mathematical and meteorological viewpoints. The derivation and solution of numerical prediction models necessitate results from various mathematical disciplines. The volume is structured into three parts, progressing from mathematical and numerical problems to air quality modeling and advanced applications in data assimilation and probabilistic forecasting. Originating from the “Mathematical Problems in Meteorological Modelling” workshop in Budapest in May 2014, organized by the ECMI Special Interest Group on Numerical Weather Prediction, it aims to showcase the beauty and complexity of these fields while encouraging mathematicians to engage in practical applications like weather forecasting and climate change projections. Authored by leading experts, the book serves as an engaging introduction for mathematicians and meteorologists to collaborate on solving operational challenges faced by weather centers today and in the future. Meteorological researchers will gain insights into the relevant mathematical foundations, while mathematicians in numerical analysis, partial differential equations, or stochastic analysis will discover new application areas and fi