Video Lectures
Advanced lectures on mathematical and computational methods in climate science and geophysical fluid dynamics
CEB Workshop: Mathematical Methods in Climate Science
This comprehensive lecture series from the Centre International de Rencontres Mathématiques (CIRM) covers advanced mathematical and computational approaches to climate and geophysical fluid dynamics. Topics include nonlinear dynamics, stochastic methods, machine learning, extreme events, and numerical methods for weather prediction.
Complete Playlist (30 lectures)
Workshop on Nonlinear and Stochastic Methods in Climate and GFD (2019)
Lectures by Topic
Dynamical Systems in Climate
Lectures on attractors, multistability, tipping points, and nonlinear dynamics applied to climate systems.
Nonautonomous and Random Dynamical Systems in Climate Sciences
Michael Ghil
Multistability of the Climate
Valerio Lucarini
Multistability in Climate and Weather
Tamas Bodai
Snapshot/Pullback Attractor of an Earth System Model
Gábor Drótos
Stochastic Methods
Stochastic modeling of climate variability, precipitation, and uncertain processes.
Stochastic Process Models for Precipitation Processes
David Neelin
Nonlinear and Stochastic Methods in Climate and GFD
So Takao
Homogenization for Generalized Langevin Equations
Soon Hoe Lim
Anomalous Diffusion in Random Dynamical Systems
Yuzuru Sato
Extreme Events & Predictability
Understanding and predicting extreme climate events using mathematical approaches.
Extreme Events and Precursors in Climate Dynamics
Freddy Bouchet
Predictability of Extreme Climate Events
Jürgen Kurths
Numerical Method for Identifying Transition Paths
Tiejun Li
Numerical Methods & Machine Learning
Modern computational techniques including spectral methods, numerical schemes, and ML for climate.
Numerical Modelling Applied to Weather Prediction
Roberto Buizza
Machine Learning for Turbulent and Geophysical Flows
Davide Faranda
Spectral Methods for Geophysical Fluid Dynamics
Gary Froyland
Casimir Preserving Scheme for Long-Time Simulation
Milo Viviani
Paleoclimate & Ice Ages
Mathematical approaches to understanding past climates and ice age cycles.
Mathematical Games Around Quaternary Ice Ages
Michel Crucifix
Nonlinear and Stochastic Approaches to Paleoclimate Records
Tommaso Alberti
Ocean Dynamics
Ocean circulation, internal waves, and ocean-atmosphere interactions.
Global Overturning Circulation of the Ocean
Paola Cessi
Nonlinear Dispersive Decomposition of Internal Waves
David Lannes
Asymptotic Behavior for Wind-Driven Ocean Circulation
Dan Kosloff
Mathematical Foundations
Core mathematical methods and theoretical foundations for geophysical fluid dynamics.
Mathematical Methods in the Analysis of Geophysical Flows
Isabelle Gallagher
Unstable Periodic Orbits in Atmospheric Models
Andrey Gritsun
Variational Approach to Closure of Nonlinear Dynamical Systems
Liu
Dynamic and Topological Phase Transitions
Shouhong Wang
Additional Topics
Additional lectures on numerical schemes, coupling, and fundamental questions in GFD.
Well-Balanced Central-Upwind Scheme
Yongle Liu
Coupling Functions in Climate
Woosok Moon
Fluctuation Theorem for Momentum Transfer
Achim Wirth
Analytical Properties for Viscous Stochastic Shallow Water System
Oliver Lang
Uncertainty Quantification of Climate Sensitivity
Anna Von der Heydt
Is Geophysical Fluid Motion Newtonian?
Thomas Dubos