Introduction slides

Motivating example: Energy balance model

Meeting recording (vbrick): password: MathClimate

Lecture notes on EBM

Mathematics and Climate (book chapter 1, 2)

Homework (please hand in via "assignments")

Lecture notes on conservation laws

Meeting recording (vBrick): password: MathClimate

Lecture notes from Rupert Klein (Page 1-15) on conservation laws (please let me know if you need additional references)

Mathematics and Climate (book chapter 14)

Homework (please hand in via "assignments")

Lecture notes on model reduction

Mathematics and Climate (book chapter 15)

Meeting recording (Vbrick). Box link (no zedat account required): https://box.fu-berlin.de/s/48zNCTKcobFtwAR

Homework (please hand in via "assignments")

Sample solutions (thanks to Heiss, Schütte, Tasan)

Notes on the model derivation (anonymous)

Lecture notes on dynamical systems

Mathematics and Climate (book chapter 4)

Meeting recording (Box link)

Homework (please hand in via "assignments")

Worksheet (This is not homework.)

Lecture notes (as a continuation of the previous lecture notes on dynamical system)

Mathematics and Climate (book chapter 4)

Meeting recording (Box link)

Video: Laboratory demonstrations of planetary style fluid dynamics

Homework:
Please prepare for yourself, but do not hand in. We will work on it together.

Lecture notes on bifurcations

Mathematics and Climate (book chapter 5)

Meeting recording (box link)

Homework:
Please prepare for yourself, but do not hand in. We will work on it together.

Lecture by Abhishek PH

Lecture notes on Thermohaline Circulation

Meeting recording

Link for the visualization of THC.

Mathematics and Climate (book chapter 3 and chapter 6)

Homework (Jupyter notebook) or Homework (pdf)

Link for the paper by Stommel

Lecture notes on the Lorenz equations.

Meeting recording

Mathematics and Climate (book chapter 7)

Lecture notes by Jeroen Wouters

Lorenz 1963 article

Homework (Jupyter notebook) or Homework (pdf)
Please prepare for yourself, but do not hand in. We will work on it together.

Lecture slides by Davide Faranda

Meeting recording

Reference for further reading: Dynamical proxies of North Atlantic predictability and extremes

Jupyter Notebook of the tutorial here.

Lecture notes : characterising an attractor from data

Meeting recording

Further reading: chaos and weather prediction, ECMWF lecture notes, Buizza, 2000

Homework please prepare (but do not hand in)

Reference for homework: Palmer 1999

Slides from the lecture: data-driven analysis of persistent weather regimes

Meeting recording

Jupyter notebook of tutorial is available here

You can find some theoretical background on hidden Markov models in https://arxiv.org/pdf/1309.3220.pdf.