How do meteorologists forecast the weather and climate? Is there a way to predict the profit from a wind farm? These are some of the questions modern science addresses by using data assimilation. Many research institutes and companies (e.g. KNMI, Shell, US-NCAR or UK MetOffice) develop and employ data assimilation and the demand for trained personnel is constantly growing. The school will describe the theoretical foundation of data assimilation together with numerical tutorials, all the way to state-of-the-art methods, including modern machine learning approaches and their combination with data assimilation.

Data assimilation is the science of combining measurement data and computational models. It encompasses a large portfolio of methods at the crossroad between numerical analysis, linear algebra, statistics, dynamical systems and optimal control. Data assimilation is crucial in all circumstances where one wishes to make sense of a model against data and is therefore ubiquitous in science and in real life applications.

The summer school aims at covering the mathematical foundations of data assimilation and at describing the existing methods up to the advanced approaches currently being developed. In particular, the school will address variational and ensemble methods, nonlinear Bayesian techniques for high-dimensional systems and the modern hybrid approaches emerging from the cross-fertilization of data assimilation and machine learning. Continue reading →

In this talk an overview is given on multirate time integration methods developed over the years for the integration of the compressible Euler equation and advection-diffusion-reaction equations. Physical and chemical processes in the atmosphere occur on different time scales ranging … Continue reading →

This workshop is aimed at sharing ideas and discussion of recent results in Complex analysis and differential geometry. Over the four days, the workshop will focus on para-complex notions and results of Kähler and CR-geometry and their applications in fluid … Continue reading →

The Swedish National Committee for Mathematics arranges a free of charge public symposium in Stockholm, November 9th, 2013. The talks, given in Swedish, have titles that can be translated to:”So do numerical models for weather- and climate-forecasts work” , “Even living … Continue reading →

CliMathNet Conference 2013 Continue reading →

This discussion meeting will mainly cover the following topics: (i) Mathematical theory of tropical meteorology; (ii) Observations and numerical simulations of these phenomena; (iii) Role of clouds and convection in the tropics; (iv) Prediction and data assimilation techniques.

SpaceMath@NASA has created a number of individual math problems for grades 5-12 that feature Earth science themes. This webpage is the archive of these problems – each is given by its title, content, grade level and math skill, and consists … Continue reading →

Professor Inez Fung visits South Africa to deliver the third in the international series of MPE2013 Simons Public Lectures. Watch the video of Dr. Fung’s lecture Abstract: Climate models solve the equations for the conservation of momentum, mass, energy, water … Continue reading →

The aim of the conference is to bring together scientists from three areas as diverse as Earth Sciences of fluid phenomena, Non-equilibrium Statistical Mechanics and the Theory of Extreme Events for dynamical systems. Though they have historically common roots and … Continue reading →

Data assimilation (DA) aims at determining and predicting the state of a dynamical system as accurately as possible by combining heterogeneous sources of information in an optimal way. The mathematical problem of DA is both fundamental in that it aims … Continue reading →