Modelling of the Earth System

Lecture content:

1) Types of models, linear vs. non-linear, box & complex models
2) Finite differences and spectral methods
3) Examples: waves, diffusion, boundaries
4) Finite Elements and spectral methods (atmosphere and ocean)
5) Model coupling (atmosphere and ocean)
6) Data assimilation (Kalman filters etc)
7) High-performance computing in modelling (scalability)
8) Random Systems (Stochastic equations, Lattice Gases)
9) Cryosphere (Sea ice, ice sheets, and permafrost)
10) Earth system models including tracers and dynamical vegetation
11) Chemistry Transport Models
12) Inverse methods in chemistry

Literature:

Gershenfeld, N., The nature of mathematical modeling, Cambridge University Press, Cambridge, 2003, 344 pp.