Article ID Journal Published Year Pages File Type
402960 Journal of Symbolic Computation 2016 18 Pages PDF
Abstract

The main goal of the paper is to present an algorithm to realize the theoretical method by Berlyand and Mityushev, 2001 and Berlyand and Mityushev, 2005 for computations of the effective conductivity of fibrous composites expressed in therms of the linear combinations of the basic e-sums. Algorithms are presented in Mathematical Pseudo-language with examples in Mathematica®. A method for simplifying the basic e-sums by reducing mirror terms is presented. Developed algorithms are applied to the optimal packing problem of disks in the plane.

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