This paper is focused on the adaptation of control parameters in differential evolution. Competition of various control parameter settings was proposed in order to ensure self-adaptation of parameter values in the search process. Several variants of such algorithm were tested on six functions at four levels of the search-space dimension. The competitive variants of differential evolution have proved to be more reliable and less time-consuming than the standard differential evolution. The competitive variants have also outperformed other tested algorithms in their reliability and convergence rate.
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This paper provides an analysis of the results of a comparison exercise on the numerical 2D solution of melting from a vertical wall, dominated by natural convection in the liquid phase. The thirteen contributions to this exercise cover the great variety of mathematical models and numerical procedures most commonly used in this field. The main conclusions presented at the AMIF Workshop (PCC99) held in Warsaw in June 1999 and at the Moving Boundaries Seminar in Ljubljana are summarized in the paper. They emphasize the need for the definition of such reference validation tests.
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