A method for open-loop and/or closed-loop control of a heating of a cast or rolled metal product, includes the steps of determining the total enthalpy of the metal product from a sum of the free molar enthalpies (Gibbs energy) of all phases and/or phase fractions currently present in the metal product; determining a temperature distribution within the metal product by means of a dynamic temperature calculation model using the total enthalpy determined; and open-loop and/or closed-loop controlling of the heating of the metal product as a function of at least one output variable of the temperature calculation model.