Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Modelling the solidification of polymers: an example of an ECMI cooperation
ICIAM 91 Proceedings of the second international conference on Industrial and applied mathematics
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
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The complex phenomenon of partial crystallization of polymers is examined. A mathematical model is exploited for the isothermal crystallization process in which the nucleation rate and the growth of the spherulites are constant. This model consists of an integro-differential equation, depending on some key parameters, whose identification is crucial for a correct description of the phenomenon. The main purpose of this work is to solve this problem numerically, using the experimental data provided by the HIMONT-ITALIA Laboratories. An error analysis of the adopted numerical method is carried out, and some numerical results are given, to show the validity and flexibility of the technique.