Collect. Czech. Chem. Commun. 1979, 44, 3194-3200

Stop criterion and simulation algorithm

Marie Ulmanová and Mirko Dohnal

Department of Chemical Engineering, Technical University, 611 00 Brno


Mathematical model of a simulated process describes an actual equipment only with some accuracy. Thus, there is no reason to require that the numerical method should solve the simulation problem with a greater accuracy that with the mathematical model approximates the behaviour of an actual existing equipment. The problem is thus in designing a suitable stop criterion of the simulation problem under uncertainty. The vector standards are used for this purpose. One of the most suitable is the elliptic norm for its simple algorithm and suitable description of the region of uncertainty of solution.