Computational Analysis Of Structured Media by Simon Gluzman

Computational Analysis Of Structured Media

bySimon Gluzman, Vladimir Mityushev, Wojciech Nawalaniec

Paperback | October 1, 2017

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Computational Analysis of Structured Mediapresents a generalized convergent method of Schwarz and functional equations yield for use in symbolic-numeric computations relevant to the effective evaluation of 2D composite properties. The work is primarily concerned with constructive topics of boundary value problems and their complex analysis and applications to composites and porous media. The main line of presentation is the investigation of two-phase composites with non-overlapping inclusions randomly embedded in matrices. The proposed method yields effective algorithms in symbolic-numeric form.



  • Presents a uniform computational methodology for main classes of 2D transport problems in structured media
  • Combines exact results, Monte-Carlo simulations and resumption techniques under one umbrella
  • Contains new results obtained in the last five years, combining different asymptotic methods with their corresponding computer implementations

About The Author

Simon Gluzman is presently an Independent Researcher (Toronto, Canada) and formerly a Research Associate at PSU in Applied Mathematics. He is interested in Resummation methods in theory of random and regular composites and the method of self-similar approximants and rational approximants.Vladimir Mityushev is the head of modelling and ...

Details & Specs

Title:Computational Analysis Of Structured MediaFormat:PaperbackDimensions:330 pages, 8.75 × 6.35 × 0.68 inPublished:October 1, 2017Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128110465

ISBN - 13:9780128110461

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Table of Contents

1. Theory of 2D composite 2. Introduction to the method of self-similar approximants 3. Square lattice array of superconducting cylinders 4. Hexagonal array of superconducting cylinders 5. Random 2D composite 6. Macroscopic properties of porous media 7. Special topics in theory of composites 8. Implications for 3D composite