1. Method for computation of the state variables of a hybrid differential-algebraic process model (hybrid DAP) in succeeding time steps on a process computer with a process interface, comprising the steps of: A) setting up the process computer such that at least one process variable of a physical process can be at least one of: 1) detected by the process computer via the process interface and 2) output for influencing the physical process by the process computer via the process interface, B) determining a current mode of the hybrid DAP in a computation process by evaluating state variables for deviation of a current mode of the hybrid DAP from a prior mode of the hybrid DAP, C) choosing a mode-specific process model, which is less complex than the hybrid DAP by only activating a subset part of the hybrid DAP and which corresponds to the current mode from a group of executable mode-specific process models and basing a further computation on the chosen mode-specific process model, and D) for obtaining executable mode-specific process models for said group, 1) using a prediction process for determining at least one probable future mode of the hybrid DAP by evaluating the state variables, 2) extracting a mode-specific DAP which corresponds to the determined at least one probable future mode from the hybrid DAP, 3) producing an executable mode-specific process model from the extracted mode-specific DAP and supplying executable mode-specific process model produced to the group of executable mode-specific process models, and E) to the extent necessary as determined by the computations of the preceding steps, using the process computer to influence the physical process via the process interface, wherein the hybrid DAP is a structurally variant, omnipotent and all-encompassing differential-algebraic model and therefore contains any case configurations of the hybrid process model.