Computational Analysis of Structured Media

Released on by Simon Gluzman
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  • Computational Analysis of Structured Media Book Detail

  • Author : Simon Gluzman
  • Release Date : 2017-09-20
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 330
  • ISBN 13 : 0128110473
  • File Size : 60,60 MB
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Computational Analysis of Structured Media by Simon Gluzman PDF Summary

Book Description: Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz’s method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. Computational methodology for main classes of problems in structured media Theory of Representative Volume Element Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations

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