Some links to further information on a basic and advanced level:
Basic
The basics of climate prediction A very well illustrated interactive website on the basics of climate prediction provided by the University of Oxford.
Developing and testing a climate model These pages gives you an idea how the equations for a climate system are developed and what they look like in a computer and also what sort of input you give into the model.
Model types This page of the UK Hadley centre gives a short overview of the common model types.
Advanced
The modelling of the climate system (Powerpoint - long loading time*) Powerpoint lecture of Lennart Bengtsson - the lecture is advanced level but shows many good illustrations which make clear the relation between climate observation, the setup of a climate model and the predictibility of our climate system.
Modeling and predicting climate change (Powerpoint - long loading time*) A lecture on the setup of a model by Michael Wehner (notes on an advanced level)
Visualitsation of model outputs The page shows in some gaphics the output of a regional climate model
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