A method for self-checking a deterministic process model of a laser cutting process, wherein when the method is provided a parameter set as input, executes the following steps: - reading in the parameter set which serves to drive a laser cutting tool; - accessing the deterministic process model in order to calculate a forecasting dataset (E fcst) for the machining result for the read-in parameter set, wherein the deterministic process model uses at least three data structures (P, E, PKG), and models physical, multidimensional relationships between the respective parameter set and the process characteristics representing the physical laser cutting process and the machining result; - executing a laser cutting with the read-in parameter set; - measuring a machining result (E act) as ACTUAL values of the manufactured component; comparing (S67, KOMP) the measured ACTUAL values (E act) for the machining result with the forecasting dataset (E fcst) for the machining result by providing a comparison result and wherein when the method is provided a TARGET value for a machining result (E targ) as input, executes the following parameterisation steps: - reading in the TARGET value for a machining result (E targ); - accessing said deterministic process model in order to calculate at least one parameter set (P calcd) for the read-in TARGET value for the machining result (E targ) which satisfies the TARGET value, and wherein the forecasting method is a digital counterpart of the parameterisation method and mathematical inverse thereto; - cutting a workpiece with the calculated parameter set (P calcd); - measuring an ACTUAL value for the machining result (E act) on the cut workpiece; - comparing between the TARGET value (E targ) and the ACTUAL value (E act) for the machining result wherein the method considers the comparison result as a deviation and adapts the deterministic process model upon detection of a reproducible deviation and the cutting (S75, S65), measuring (S76, S66), comparison (S77, S67) and deterministic process model adaptation are iteratively repeated until a deviation between the TARGET value and the ACTUAL value for the cutting result falls below a preconfigurable threshold value. wherein when the method is provided a parameter set as input, executes the following steps: - reading in the parameter set which serves to drive a laser cutting tool; - accessing the deterministic process model in order to calculate a forecasting dataset (E fcst) for the machining result for the read-in parameter set, wherein the deterministic process model uses at least three data structures (P, E, PKG), and models physical, multidimensional relationships between the respective parameter set and the process characteristics representing the physical laser cutting process and the machining result; - executing a laser cutting with the read-in parameter set; - measuring a machining result (E act) as ACTUAL values of the manufactured component; - reading in the parameter set which serves to drive a laser cutting tool; - accessing the deterministic process model in order to calculate a forecasting dataset (E fcst) for the machining result for the read-in parameter set, wherein the deterministic process model uses at least three data structures (P, E, PKG), and models physical, multidimensional relationships between the respective parameter set and the process characteristics representing the physical laser cutting process and the machining result; - executing a laser cutting with the read-in parameter set; - measuring a machining result (E act) as ACTUAL values of the manufactured component; comparing (S67, KOMP) the measured ACTUAL values (E act) for the machining result with the forecasting dataset (E fcst) for the machining result by providing a comparison result and wherein when the method is provided a TARGET value for a machining result (E targ) as input, executes the following parameterisation steps: - reading in the TARGET value for a machining result (E targ); - accessing said deterministic process model in order to calculate at least one parameter set (P calcd) for the read-in TARGET value for the machining result (E targ) which satisfies the TARGET value, and wherein the forecasting method is a digital counterpart of the parameterisation method and mathematical inverse thereto; - cutting a workpiece with the calculated parameter set (P calcd); - measuring an ACTUAL value for the machining result (E act) on the cut workpiece; - comparing between the TARGET value (E targ) and the ACTUAL value (E act) for the machining result - reading in the TARGET value for a machining result (E targ); - accessing said deterministic process model in order to calculate at least one parameter set (P calcd) for the read-in TARGET value for the machining result (E targ) which satisfies the TARGET value, and wherein the forecasting method is a digital counterpart of the parameterisation method and mathematical inverse thereto; - cutting a workpiece with the calculated parameter set (P calcd); - measuring an ACTUAL value for the machining result (E act) on the cut workpiece; - comparing between the TARGET value (E targ) and the ACTUAL value (E act) for the machining result wherein the method considers the comparison result as a deviation and adapts the deterministic process model upon detection of a reproducible deviation and the cutting (S75, S65), measuring (S76, S66), comparison (S77, S67) and deterministic process model adaptation are iteratively repeated until a deviation between the TARGET value and the ACTUAL value for the cutting result falls below a preconfigurable threshold value.