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.
Applies advanced asymptotic methods, constructive homogenization approaches in PDEs, and applied mathematics and symbolic-numerical computation to macroscopic property analysis in composites and porous media
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 Re-summation methods in theory of random and regular composites and the method of self-similar and rational approximants. Vladimir Mityushev is the Professor of Cracow University of Technology, a leader of the research group www.materialica.plus. He is interested in mathematical modeling and computer simulations, Industrial mathematics and boundary value problems and their applications. . Wojciech Nawalaniec is an Associate Professor in applied mathematics at Pedagogical University of Cracow, Krakow. He is interested in Computational methods, such as symbolic computation, mathematical modeling and algorithms.
Reviews
"In conclusion, the treatise is very interesting and well written. The computational analysis of composites is given by using the classical analytic formulae in the complex domain. The analysis may be readily extended to special geometry, motion, material and alike of structured media. The treatise can be used even as a "basic reference" for teaching a graduate course, and it is highly recommended to researchers in applied mathematics and computational mechanics." --Zentralblatt MATH
Book Information
ISBN 9780128110461
Author Simon Gluzman
Format Paperback
Page Count 328
Imprint Academic Press Inc
Publisher Elsevier Science Publishing Co Inc
Weight(grams) 660g
Applies advanced asymptotic methods, constructive homogenization approaches in PDEs, and applied mathematics and symbolic-numerical computation to macroscopic property analysis in composites and porous media
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 Re-summation methods in theory of random and regular composites and the method of self-similar and rational approximants. Vladimir Mityushev is the Professor of Cracow University of Technology, a leader of the research group www.materialica.plus. He is interested in mathematical modeling and computer simulations, Industrial mathematics and boundary value problems and their applications. . Wojciech Nawalaniec is an Associate Professor in applied mathematics at Pedagogical University of Cracow, Krakow. He is interested in Computational methods, such as symbolic computation, mathematical modeling and algorithms.
Reviews
"In conclusion, the treatise is very interesting and well written. The computational analysis of composites is given by using the classical analytic formulae in the complex domain. The analysis may be readily extended to special geometry, motion, material and alike of structured media. The treatise can be used even as a "basic reference" for teaching a graduate course, and it is highly recommended to researchers in applied mathematics and computational mechanics." --Zentralblatt MATH
Book Information
ISBN 9780128110461
Author Simon Gluzman
Format Paperback
Page Count 328
Imprint Academic Press Inc
Publisher Elsevier Science Publishing Co Inc
Weight(grams) 660g
