• Meteorological base equations
• Coordinate systems
• Simple types of waves in the atmosphere
• Scale analysis
• Integral relations between vorticity and energy
• Numerical methods for climate, weather and atmosphere models
• Barotropic models
• Baroclinic models
• Multi-layer models
• Humidity, radiation and convection schemata
• Advection schemata and non-linear instability
• Integration methods of primitive equations
• Objective analysis procedures 
• Modern numerical forecast models
• Modern climate simulation in different scale areas
• Scale overlapping simulations

• W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, “Numerical Recipies”, Cambridge University Press
• N. Köckler, „Numerische Algorithmen in Softwaresystemen“, Teubner, 1990
• G. J. Haltiner, R. T. Williams, „Numerical Prediction and Dynamic Meteorology“, 2nd edition, John Wiley & Sons, 1980

This module is a compensable electoral module. It is passed if

1. lectures and tutorials were attended successfully (at least 50% of the in the tutorial accessible points have to be gained).
2. the internship is passed successfully.
3. the test is passed. If the test is not passed there will be the opportunity for a timely re-test (written or oral) If the re-test is not passed there will be the opportunity for a second oral re-test. If this one is not passed the module failed finally.

• Comprehension of how different physical/chemical processes are modeled numerically by different techniques
• Knowledge of components of numerical atmosphere and climate models
• Comprehension of strengths and weaknesses of different numerical methods and models
• Execution of numerical methods

Passed modules:

1. Einführung in die Geophysik und Meteorologie
2. Experimentalphysik I
3. Experimentalphysik II
4. Mathematische Methoden der Physik