Methods, devices and computer program products providing for establishing a model for emulating a physical quantity which depends on at least one input parameter, and use thereof

An apparatus, comprising

• a device, provided for establishing a model W for emulating a physical quantity P which depends on at least one input parameter x,
• the device comprising
• an input module configured to receive a set X comprising N distinct parameter values x_i for said at least one input parameter x, N being an integer greater than or equal to 1,
• a first measurement module configured to measure a first measuring of the physical quantity P, Pm1 for each of the N distinct parameter values x_i of the at least one input parameter x, while keeping all other input parameters fixed,
• a construction module configured to construct a Vandermonde matrix VM using said set of N parameter values x_i of said at least one input parameter x, and
• a computer module configured to compute the model W for emulating the physical quantity P based on the Vandermonde matrix and the first measured physical quantity according to the equation W=(VMT*VM)−1*VMT*Pm1.

A computer program product comprising a non-transitory computer readable storage medium storing computer-executable components which, when executed on a computer, are configured to at least:

• provide for establishing a model W for emulating a physical quantity P which depends on at least one input parameter x,
• define a set X comprising N distinct parameter value x_i for said at least one input parameter x, N being an integer greater than or equal to 1,
• measure a first measuring of the physical quantity P, Pm1 for each of the N distinct parameter values x_i of the at least one input parameter x, while keeping all other input parameters fixed,
• construct a Vandermonde matrix VM using said set of N parameter values x_i of said at least one input parameter x, and
• compute the model W for emulating the physical quantity P based on the Vandermonde matrix and the first measured physical quantity according to the equation W=(VMT*VM)−1*VMT*Pm1.