Method for real time computation of the state variables of a hybrid differential-algebraic process model (DAP) in succeeding time steps on a process computer with a process interface, the process computer detecting at least one process variable of a physical process and/or producing output for influencing the physical process, the hybrid DAP being solved at least by a integrator functionality, a condition evaluation functionality and identification of a condition change by a consistency detection functionality for structure decision variables, and depending on the result parts of the hybrid DAP being active or inactive. Prompt computation is possible when a condition of the hybrid DAP changes by the consistency detection functionality being carried out in a sorted consistency handling function (KHF), in the case of a condition change, first and third parts of the sorted KHF being carried out once and a second part thereof being carried out repeatedly.