Numerical gas turbine models permit transient modeling with high precision and at the same time numerically efficient processes for modeling a gas turbine. A gas turbine model includes a plurality of sub models. These sub models are either purely dynamic or static, which allows significant simplifications in the numerical solution of the overall model. System parts, which simulate the effects of volumes, metal masses, of actuators, and of measuring systems are regarded as dynamic. The remaining system parts are regarded as static over a time characteristic.